Finite Group Databasebeta

← #17942345

Subgroups — #17942345

Order 4352.

7998 conjugacy classes of subgroups.

The subgroup lattice has 2330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542822C214yesmaximal, complemented
2#14542805C214yesmaximal, complemented
3#14542717C214yesmaximal, complemented
4#14542711C214yesmaximal, complemented
5#14542631C212yesmaximal, complemented
6#14542622C212yesmaximal, complemented
7#14542614C212yesmaximal, complemented
8#14542584C211yesmaximal, characteristic, complemented
9#14542545C211yesmaximal, characteristic, complemented
10#14542485C212yesmaximal, complemented
11#14542473C211yesmaximal, characteristic, complemented
12#14542467C212yesmaximal, complemented
13#14542413C212yesmaximal, complemented
14#14542389C214yesmaximal, complemented
15#14542387C214yesmaximal, complemented
16#14542339C214yesmaximal, complemented
17#14542268C214yesmaximal, complemented
18#14542203C212yesmaximal, complemented
19#14542196C211yesmaximal, characteristic, complemented
20#14542195C212yesmaximal, complemented
21#14542190C211yesmaximal, characteristic, complemented
22#14542076C212yesmaximal, complemented
23C2×#11763315C212yesmaximal, complemented
24D17×#525C212yesmaximal, complemented
25#14541988C212yesmaximal, complemented
26C22×#10587567C211yesmaximal, characteristic, complemented
27C17×#3490C211yesmaximal, characteristic, complemented
28C2×#10587691C2212yes—
29C22×#63254C2212yescomplemented
30C2×#41×D17C2212yescomplemented
31C23×C22⋊D17C2211yescharacteristic
32C24×Dic17C2211yescharacteristic, complemented
33C23×C4×D17C2211yescharacteristic, complemented
34#11763543C2214yescomplemented
35#11763541C2214yescomplemented
36#11763526C2214yescomplemented
37#11763521C2214yescomplemented
38#11763518C2214yescomplemented
39#11763517C2214yescomplemented
40#11763513C2214yescomplemented
41#11763513C2214yescomplemented
42#11763513C2214yescomplemented
43#11763510C2214yescomplemented
44#11763510C2214yescomplemented
45#11763508C2214yescomplemented
46#11763508C2214yescomplemented
47#11763508C2214yescomplemented
48#11763506C2214yescomplemented
49#11763505C2214yescomplemented
50#11763504C2214yescomplemented
51#11763502C2214yescomplemented
52#11763502C2214yescomplemented
53#11763496C2214yescomplemented
54#11763495C2214yescomplemented
55#11763492C2214yescomplemented
56#11763492C2214yescomplemented
57#11763489C2214yescomplemented
58#11763488C2214yescomplemented
59#11763486C2214yescomplemented
60#11763485C2214yescomplemented
61#11763485C2214yescomplemented
62#11763485C2214yescomplemented
63#11763483C2214yescomplemented
64#11763483C2214yescomplemented
65#11763482C2214yescomplemented
66#11763482C2214yescomplemented
67#11763477C2214yescomplemented
68#11763472C2214yescomplemented
69#11763468C2214yescomplemented
70#11763467C2214yescomplemented
71#11763458C2214yescomplemented
72#11763457C2214yescomplemented
73#11763457C2214yescomplemented
74#11763457C2214yescomplemented
75#11763454C2214yescomplemented
76#11763451C2214yescomplemented
77#11763451C2214yescomplemented
78#11763449C2214yescomplemented
79#11763449C2214yescomplemented
80#11763449C2214yescomplemented
81#11763449C2214yescomplemented
82#11763449C2214yescomplemented
83#11763448C2214yescomplemented
84#11763448C2214yescomplemented
85#11763447C2214yescomplemented
86#11763446C2214yescomplemented
87#11763446C2214yescomplemented
88#11763446C2214yescomplemented
89D4×C22⋊D17C2214yescomplemented
90D4×C22⋊D17C2214yescomplemented
91#11763441C2214yescomplemented
92#11763441C2214yescomplemented
93#11763441C2214yescomplemented
94#11763438C2212yescomplemented
95#11763435C2211yescharacteristic, complemented
96#11763434C2212yescomplemented
97#11763425C2214yescomplemented
98#11763423C2214yescomplemented
99#11763411C2214yescomplemented
100#11763409C2214yescomplemented
101#11763408C2212yescomplemented
102#11763408C2214yescomplemented
103#11763404C2212yescomplemented
104#11763403C2214yescomplemented
105#11763402C2214yescomplemented
106#11763401C2214yescomplemented
107#11763400C2214yescomplemented
108#11763399C2212yescomplemented
109#11763399C2214yescomplemented
110#11763397C2212yescomplemented
111#11763397C2212yescomplemented
112#11763396C2212yescomplemented
113#11763394C2214yescomplemented
114#11763393C2214yescomplemented
115#11763392C2214yescomplemented
116#11763391C2214yescomplemented
117#11763386C2212yescomplemented
118#11763374C2214yescomplemented
119#11763371C2212yescomplemented
120#11763371C2211yescharacteristic, complemented
121#11763369C2214yescomplemented
122#11763368C2212yescomplemented
123#11763367C2212yescomplemented
124#11763362C2212yescomplemented
125#11763361C2212yescomplemented
126#11763361C2212yescomplemented
127#11763358C2214yescomplemented
128#11763355C2212yescomplemented
129#11763354C2212yescomplemented
130#11763354C2212yescomplemented
131#11763354C2214yescomplemented
132#11763345C2212yescomplemented
133#11763345C2212yescomplemented
134#11763345C2214yescomplemented
135#11763342C2214yescomplemented
136#11763342C2214yescomplemented
137#11763340C2212yescomplemented
138#11763340C2212yescomplemented
139#11763339C2214yescomplemented
140#11763339C2214yescomplemented
141#11763338C2214yescomplemented
142#11763336C2214yescomplemented
143#11763336C2214yescomplemented
144#11763336C2214yescomplemented
145#11763336C2214yescomplemented
146#11763322C2212yescomplemented
147#11763322C2212yescomplemented
148#11763322C2214yescomplemented
149#11763321C2212yescomplemented
150#11763320C2212yescomplemented
151#11763320C2212yescomplemented
152#11763319C2212yescomplemented
153#11763319C2212yescomplemented
154#11763319C2214yescomplemented
155#11763318C2214yescomplemented
156#11763318C2214yescomplemented
157#11763317C2214yescomplemented
158#11763317C2214yescomplemented
159#11763316C2212yescomplemented
160#11763315C2214yescomplemented
161#11763315C2214yescomplemented
162#11763315C2214yescomplemented
163#11763315C2214yescomplemented
164#11763315C2214yescomplemented
165#11763315C2214yescomplemented
166#11763315C2214yescomplemented
167#11763315C2214yescomplemented
168#11763315C2214yescomplemented
169#11763315C2214yescomplemented
170C2×#10587572C2212yescomplemented
171C2×#10587621C2212yescomplemented
172#123×D17C2214yescomplemented
173C2×#10587564C2212yescomplemented
174C2×#10587564C2212yescomplemented
175C22⋊Q8×D17C2212yescomplemented
176C22⋊Q8×D17C2212yescomplemented
177C2×#10587625C2212yescomplemented
178C2×#10587625C2212yescomplemented
179#121×D17C2212yescomplemented
180#121×D17C2212yescomplemented
181C2×#10587639C2212yescomplemented
182#120×D17C2214yescomplemented
183#11763289C2214yescomplemented
184#11763288C2214yescomplemented
185#11763288C2214yescomplemented
186#11763282C2212yes—
187#11763282C2214yescomplemented
188#11763282C2212yescomplemented
189#11763281C2214yescomplemented
190#11763281C2214yescomplemented
191#41×Dic17C2212yescomplemented
192#11763277C2212yescomplemented
193#11763277C2214yescomplemented
194C4×#63254C2214yescomplemented
195C4×#63254C2214yescomplemented
196C4×#63254C2214yescomplemented
197C2×D4×Dic17C2212yescomplemented
198C2×D4×Dic17C2212yescomplemented
199C2×#10587567C2211yescharacteristic
200C2×#10587567C2211yescharacteristic
201C2×#10587567C2214yescomplemented
202C2×#10587567C2211yescharacteristic, complemented
203C2×#10587567C2211yescharacteristic, complemented
204C2×#10587567C2211yescharacteristic, complemented
205C2×#10587567C2214yescomplemented
206C2×#10587567C2211yescharacteristic, complemented
207C2×#10587567C2211yescharacteristic, complemented
208C2×#10587567C2214yescomplemented
209C2×#10587567C2211yescharacteristic, complemented
210C2×#10587567C2214yescomplemented
211C2×#10587567C2212yescomplemented
212C2×#10587567C2212yescomplemented
213C2×#10587567C2214yescomplemented
214C4×D4×D17C2214yescomplemented
215C4×D4×D17C2214yescomplemented
216C4×D4×D17C2214yescomplemented
217C2×#10587563C2212yescomplemented
218#117×D17C2212yescomplemented
219C22×#63225C2211yescharacteristic, complemented
220C22×#63227C2211yescharacteristic, complemented
221C22×C4×Dic17C2211yescharacteristic, complemented
222C17×#551C2214yescomplemented
223C17×#551C2214yescomplemented
224C17×#546C2214yescomplemented
225C17×#546C2214yescomplemented
226C17×#543C2211yescharacteristic, complemented
227C17×#538C2212yescomplemented
228C17×#538C2212yescomplemented
229C17×#534C2211yescharacteristic, complemented
230C17×#525C2212yescomplemented
231C17×#525C2212yescomplemented
232C2×C17×#120C2212yescomplemented
233C17×#518C2212yescomplemented
234C22×C22⋊C4×C17C2211yescharacteristic, complemented
235C25×C17C2311yescharacteristic
236C24×D17C2311yescharacteristic
237C2×#41×C17C2312yes—
238C2×#41×C17C2312yes—
239C22×D4×C17C2312yes—
240C22×D4×C17C2312yes—
241C22×D4×C17C2312yes—
242C23×C4×C17C2311yescharacteristic
243C23×C4×C17C2311yescharacteristic
244C22×C22⋊D17—28no—
245C22×C22⋊D17C2311yescharacteristic
246C22×C22⋊D17C2311yescharacteristic
247C22×C22⋊D17C2311yescharacteristic
248C22×C22⋊D17C2314yes—
249C22×C22⋊D17C2314yes—
250C22×C22⋊D17C2312yes—
251C22×C22⋊D17C2314yes—
252C22×C22⋊D17C2312yes—
253C22×C22⋊D17C2312yes—
254C22×C22⋊D17C2311yescharacteristic
255C22×C22⋊D17C2312yescomplemented
256C23×Dic17—44no—
257C23×Dic17C2311yescharacteristic
258C23×Dic17C2311yescharacteristic
259C23×Dic17C2312yes—
260C23×Dic17C2311yescharacteristic
261C23×Dic17C2311yescharacteristic
262C23×Dic17C2311yescharacteristic
263C23×Dic17C2312yes—
264C23×Dic17C2312yes—
265C23×Dic17C2312yes—
266C23×Dic17C2311yescharacteristic
267C23×Dic17C2311yescharacteristic
268C23×Dic17C2312yescomplemented
269#41×D17—48no—
270C2×#63256C2312yescomplemented
271C2×Q8×D17C2312yescomplemented
272#10587691—216no—
273C2×#63254—48no—
274C2×#63254C2314yes—
275C2×#63254C2314yes—
276C2×#63254C2314yes—
277C2×#63254C2314yes—
278C2×#63254C2314yescomplemented
279C2×#63254C2314yescomplemented
280C2×#63254C2312yescomplemented
281C2×D4×D17C2314yes—
282C2×D4×D17C2314yes—
283C2×D4×D17C2314yes—
284C2×D4×D17C2314yes—
285C2×D4×D17C2312yescomplemented
286C2×#63252C2314yes—
287C2×#63252C2312yes—
288C2×#63252C2312yes—
289C2×#63252C2314yescomplemented
290C22×C4×D17—44no—
291C22×C4×D17C2312yes—
292C22×C4×D17C2311yescharacteristic
293C22×C4×D17C2312yes—
294C22×C4×D17C2311yescharacteristic
295C22×C4×D17C2312yes—
296C22×C4×D17C2312yes—
297C22×C4×D17C2311yescharacteristic
298C22×C4×D17C2311yescharacteristic
299C22×C4×D17C2314yescomplemented
300C22×C4×D17C2312yescomplemented
301C22×Dic34C2312yescomplemented
302C17×#126C2314yescomplemented
303C17×#126C2314yescomplemented
304C17×#124C2314yescomplemented
305C17×#124C2314yescomplemented
306C17×#123C2314yes—
307C17×#123C2314yes—
308C17×#123C2314yescomplemented
309C17×#123C2314yescomplemented
310C17×#123C2314yescomplemented
311C17×C22⋊Q8C2312yes—
312C17×C22⋊Q8C2312yes—
313C17×C22⋊Q8C2312yes—
314C17×C22⋊Q8C2312yes—
315C17×C22⋊Q8C2314yescomplemented
316C17×C22⋊Q8C2314yescomplemented
317C17×#121C2312yes—
318C17×#121C2312yes—
319C17×#121C2312yes—
320C17×#121C2312yes—
321C17×#121C2314yescomplemented
322C17×#121C2314yescomplemented
323C17×#120C2314yes—
324C17×#120C2314yes—
325C17×#120C2314yes—
326C17×#120C2314yes—
327C17×#120C2314yescomplemented
328C4×D4×C17C2314yes—
329C4×D4×C17C2314yes—
330C4×D4×C17C2314yes—
331C4×D4×C17C2314yes—
332C4×D4×C17C2314yescomplemented
333C4×D4×C17C2314yescomplemented
334C17×#117C2312yes—
335C17×#117C2312yes—
336C17×#117C2314yescomplemented
337C2×C22⋊C4×C17C2311yescharacteristic
338C2×C22⋊C4×C17C2314yes—
339C2×C22⋊C4×C17C2314yes—
340C2×C22⋊C4×C17C2311yescharacteristic
341C2×C22⋊C4×C17C2311yescharacteristic
342C2×C22⋊C4×C17C2311yescharacteristic
343C2×C22⋊C4×C17C2312yes—
344C2×C22⋊C4×C17C2312yes—
345C2×C22⋊C4×C17C2312yes—
346C2×C22⋊C4×C17C2314yescomplemented
347#10587639C2314yes—
348#10587639C2314yes—
349#10587639C2314yes—
350#10587639C2314yes—
351#10587639C2314yes—
352C2×C22⋊Dic17C2312yes—
353C2×C22⋊Dic17C2312yes—
354C2×C22⋊Dic17C2312yes—
355C2×C22⋊Dic17C2312yescomplemented
356C2×C22⋊Dic17C2312yescomplemented
357#10587633C2314yescomplemented
358#10587633C2312yescomplemented
359#10587632C2314yescomplemented
360#10587632C2314yescomplemented
361#10587632C2312yescomplemented
362#10587632C2312yescomplemented
363Q8×Dic17C2312yescomplemented
364Q8×Dic17C2312yescomplemented
365#10587630C2314yescomplemented
366#10587630C2312yescomplemented
367#10587626C2314yes—
368#10587626C2314yes—
369#10587626C2312yescomplemented
370#10587625C2314yes—
371#10587625C2314yes—
372#10587625C2314yes—
373#10587625C2314yes—
374#10587625C2314yes—
375#10587625C2314yes—
376#10587625C2314yes—
377#10587625C2314yes—
378#10587625C2314yes—
379#10587625C2314yes—
380#10587625C2314yescomplemented
381#10587625C2314yescomplemented
382#10587625C2314yescomplemented
383#10587625C2314yescomplemented
384#10587625C2314yescomplemented
385#10587625C2314yescomplemented
386#10587624C2314yes—
387#10587624C2314yes—
388#10587624C2312yescomplemented
389#10587624C2312yescomplemented
390#10587623C2314yes—
391#10587623C2314yes—
392#10587623C2314yes—
393#10587623C2314yes—
394#10587623C2314yes—
395#10587623C2314yescomplemented
396#10587622C2312yescomplemented
397#10587621C2314yes—
398#10587621C2314yes—
399#10587621C2314yes—
400#10587621C2314yescomplemented
401#10587621C2314yescomplemented
402#10587621C2314yescomplemented
403D4×Dic17C2314yes—
404D4×Dic17C2314yes—
405D4×Dic17C2314yes—
406D4×Dic17C2314yes—
407D4×Dic17C2314yes—
408D4×Dic17C2314yes—
409D4×Dic17C2314yescomplemented
410D4×Dic17C2312yescomplemented
411D4×Dic17C2314yescomplemented
412D4×Dic17C2314yescomplemented
413D4×Dic17C2314yescomplemented
414D4×Dic17C2312yescomplemented
415#10587616C2314yes—
416#10587616C2314yes—
417#10587616C2312yes—
418#10587616C2312yes—
419#10587616C2312yes—
420#10587616C2312yes—
421#10587616C2314yescomplemented
422#10587615C2314yes—
423#10587615C2314yes—
424#10587615C2314yes—
425#10587615C2314yescomplemented
426#10587615C2314yescomplemented
427C4×C22⋊D17C2314yes—
428C4×C22⋊D17C2314yes—
429C4×C22⋊D17C2314yes—
430C4×C22⋊D17C2314yes—
431C4×C22⋊D17C2314yes—
432C4×C22⋊D17C2314yes—
433C4×C22⋊D17C2314yescomplemented
434C4×C22⋊D17C2314yescomplemented
435C4×C22⋊D17C2314yescomplemented
436C4×C22⋊D17C2314yescomplemented
437C4×C22⋊D17C2314yescomplemented
438C4×C22⋊D17C2314yescomplemented
439C2×#63227C2314yes—
440C2×#63227C2314yes—
441C2×#63227C2311yescharacteristic
442C2×#63227C2311yescharacteristic
443C2×#63227C2311yescharacteristic
444C2×#63227C2311yescharacteristic
445C2×#63227C2314yescomplemented
446C2×#63227C2312yescomplemented
447C2×#63227C2312yescomplemented
448#10587612C2312yes—
449#10587612C2312yes—
450#10587612C2314yescomplemented
451C2×C4⋊Dic17C2312yescomplemented
452C2×C4⋊Dic17C2312yescomplemented
453#10587610C2312yes—
454#10587610C2312yes—
455#10587610C2312yes—
456#10587610C2312yes—
457#10587610C2314yescomplemented
458C2×#63225C2314yes—
459C2×#63225C2314yes—
460C2×#63225C2311yescharacteristic
461C2×#63225C2311yescharacteristic
462C2×#63225C2311yescharacteristic
463C2×#63225C2311yescharacteristic
464C2×#63225C2312yescomplemented
465C2×#63225C2314yescomplemented
466C2×#63225C2312yescomplemented
467C2×#63225C2312yescomplemented
468C2×#63225C2312yescomplemented
469C2×C4×Dic17C2311yescharacteristic
470C2×C4×Dic17C2311yescharacteristic
471C2×C4×Dic17C2312yes—
472C2×C4×Dic17C2312yes—
473C2×C4×Dic17C2312yes—
474C2×C4×Dic17C2311yescharacteristic
475C2×C4×Dic17C2312yes—
476C2×C4×Dic17C2311yescharacteristic
477C2×C4×Dic17C2312yescomplemented
478C2×C4×Dic17C2312yescomplemented
479C2×C4×Dic17C2314yescomplemented
480#10587584C2314yescomplemented
481#10587584C2314yescomplemented
482#10587584C2314yescomplemented
483#10587584C2314yescomplemented
484#10587584C2314yescomplemented
485#10587584C2314yescomplemented
486#10587583C2314yescomplemented
487#10587583C2312yescomplemented
488#10587583C2312yescomplemented
489#10587582C2314yescomplemented
490#10587582C2314yescomplemented
491#10587582C2314yescomplemented
492#10587582C2314yescomplemented
493#10587582C2314yescomplemented
494#10587582C2314yescomplemented
495#10587581C2314yescomplemented
496#10587581C2312yescomplemented
497#10587581C2312yescomplemented
498#10587580C2314yescomplemented
499#10587580C2314yescomplemented
500#10587580C2314yescomplemented
501#10587580C2314yescomplemented
502#10587580C2314yescomplemented
503#10587580C2314yescomplemented
504#10587579C2314yescomplemented
505#10587579C2312yescomplemented
506#10587579C2314yescomplemented
507#10587579C2314yescomplemented
508#10587579C2312yescomplemented
509#10587578C2314yescomplemented
510#10587578C2312yescomplemented
511#10587578C2312yescomplemented
512#10587578C2314yescomplemented
513#10587578C2314yescomplemented
514C4⋊C4×D17C2312yescomplemented
515C4⋊C4×D17C2314yescomplemented
516C4⋊C4×D17C2312yescomplemented
517C4⋊C4×D17C2314yescomplemented
518C4⋊C4×D17C2314yescomplemented
519#10587576C2314yescomplemented
520#10587576C2312yescomplemented
521#10587576C2312yescomplemented
522#10587575C2314yescomplemented
523#10587575C2314yescomplemented
524#10587575C2314yescomplemented
525#10587575C2314yescomplemented
526#10587575C2314yescomplemented
527#10587575C2314yescomplemented
528#10587574C2312yescomplemented
529#10587574C2312yescomplemented
530#10587574C2314yescomplemented
531#10587573C2314yescomplemented
532#10587573C2314yescomplemented
533#10587573C2312yescomplemented
534#10587573C2314yescomplemented
535#10587573C2312yescomplemented
536#10587572C2314yes—
537#10587572C2314yes—
538#10587572C2314yes—
539#10587572C2314yes—
540#10587572C2314yescomplemented
541#10587572C2314yescomplemented
542#10587572C2314yescomplemented
543#10587572C2314yescomplemented
544#10587571C2314yes—
545#10587571C2314yes—
546#10587571C2314yescomplemented
547#10587571C2314yescomplemented
548#10587571C2314yescomplemented
549#10587571C2314yescomplemented
550#10587571C2314yescomplemented
551#10587571C2314yescomplemented
552#10587570C2314yes—
553#10587570C2314yes—
554#10587570C2314yes—
555#10587570C2314yes—
556#10587570C2314yescomplemented
557#10587570C2314yescomplemented
558#10587570C2314yescomplemented
559#10587570C2314yescomplemented
560#10587570C2314yescomplemented
561#10587570C2314yescomplemented
562#10587569C2314yes—
563#10587569C2314yes—
564#10587569C2314yescomplemented
565#10587569C2314yescomplemented
566#10587569C2314yescomplemented
567#10587569C2314yescomplemented
568#10587569C2314yescomplemented
569#10587569C2314yescomplemented
570#10587568C2314yes—
571#10587568C2314yes—
572#10587568C2314yes—
573#10587568C2314yes—
574#10587568C2314yescomplemented
575#10587568C2314yescomplemented
576#10587567C2314yes—
577#10587567C2314yes—
578#10587567C2314yes—
579#10587567C2314yes—
580#10587567C2314yes—
581#10587567C2314yes—
582#10587567C2314yes—
583#10587567C2314yes—
584#10587567C2314yes—
585#10587567C2314yes—
586#10587567C2314yes—
587#10587567C2314yes—
588#10587567C2314yes—
589#10587567C2314yes—
590#10587567C2314yes—
591#10587567C2314yes—
592#10587567C2314yes—
593#10587567C2314yes—
594#10587567C2314yes—
595#10587567C2314yes—
596#10587567C2314yes—
597#10587567C2314yes—
598#10587567C2314yes—
599#10587567C2314yes—
600#10587567C2314yescomplemented
601#10587567C2314yescomplemented
602#10587567C2314yescomplemented
603#10587567C2314yescomplemented
604#10587567C2314yescomplemented
605#10587567C2314yescomplemented
606#10587567C2314yescomplemented
607#10587567C2314yescomplemented
608#10587567C2314yescomplemented
609#10587567C2314yescomplemented
610#10587567C2314yescomplemented
611#10587567C2314yescomplemented
612C22⋊C4×D17C2314yes—
613C22⋊C4×D17C2314yes—
614C22⋊C4×D17C2314yes—
615C22⋊C4×D17C2314yescomplemented
616C22⋊C4×D17C2314yescomplemented
617C22⋊C4×D17C2314yescomplemented
618C22⋊C4×D17C2314yescomplemented
619#10587565C2314yescomplemented
620#10587565C2314yescomplemented
621#10587565C2314yescomplemented
622#10587565C2314yescomplemented
623#10587565C2314yescomplemented
624#10587565C2314yescomplemented
625#10587564C2314yes—
626#10587564C2314yes—
627#10587564C2314yes—
628#10587564C2314yes—
629#10587564C2314yes—
630#10587564C2314yes—
631#10587564C2314yescomplemented
632#10587564C2314yescomplemented
633#10587564C2314yescomplemented
634#10587564C2314yescomplemented
635#10587564C2314yescomplemented
636#10587564C2314yescomplemented
637#10587564C2314yescomplemented
638#10587564C2314yescomplemented
639#10587563C2314yes—
640#10587563C2314yes—
641#10587563C2314yes—
642#10587563C2314yescomplemented
643#10587563C2314yescomplemented
644#10587563C2314yescomplemented
645#10587563C2314yescomplemented
646#10587563C2314yescomplemented
647#10587563C2314yescomplemented
648#10587562C2314yescomplemented
649#10587562C2314yescomplemented
650#10587561C2314yescomplemented
651C4×D68C2314yescomplemented
652C4×D68C2314yescomplemented
653C4×D68C2314yescomplemented
654#10587558C2314yescomplemented
655#10587558C2314yescomplemented
656#10587558C2314yescomplemented
657#10587558C2314yescomplemented
658C42×D17C2314yescomplemented
659C42×D17C2314yescomplemented
660#10587556C2314yescomplemented
661C4×Dic34C2314yescomplemented
662C4×Dic34C2314yescomplemented
663C4×Dic34C2314yescomplemented
664C24×C17—24no—
665C24×C17—42no—
666C24×C17—42no—
667C24×C17C2411yescharacteristic
668C24×C17C2412yes—
669C24×C17C2412yes—
670C24×C17C2411yescharacteristic
671C24×C17C2412yes—
672C24×C17C2411yescharacteristic
673C23×D17—24no—
674C23×D17—42no—
675C23×D17—42no—
676C23×D17C2412yes—
677C23×D17C2412yes—
678C23×D17C2411yescharacteristic
679C23×D17C2414yes—
680C23×D17C2412yes—
681C23×D17C2411yescharacteristic
682#41×C17—44no—
683#41×C17—44no—
684C2×Q8×C17C2412yes—
685C2×Q8×C17C2412yes—
686C2×D4×C17—28no—
687C2×D4×C17—44no—
688C2×D4×C17—44no—
689C2×D4×C17C2414yes—
690C2×D4×C17C2414yes—
691C2×D4×C17C2414yes—
692C2×D4×C17C2414yes—
693C2×D4×C17C2414yes—
694C2×D4×C17C2414yes—
695C2×D4×C17C2412yes—
696C2×D4×C17C2412yes—
697C22×C4×C17—42no—
698C22×C4×C17—42no—
699C22×C4×C17C2412yes—
700C22×C4×C17C2412yes—
701C22×C4×C17C2412yes—
702C22×C4×C17C2411yescharacteristic
703C22×C4×C17C2411yescharacteristic
704C22×C4×C17C2412yes—
705C22×C4×C17C2412yes—
706C22×C4×C17C2412yes—
707C22×C4×C17C2412yes—
708C22×C4×C17C2414yes—
709C22×C4×C17C2414yes—
710C22×C4×C17C2411yescharacteristic
711C22×C4×C17C2411yescharacteristic
712C2×C22⋊D17—28no—
713C2×C22⋊D17—24no—
714C2×C22⋊D17—24no—
715C2×C22⋊D17—216no—
716C2×C22⋊D17—216no—
717C2×C22⋊D17—216no—
718C2×C22⋊D17—24no—
719C2×C22⋊D17—44no—
720C2×C22⋊D17—44no—
721C2×C22⋊D17—44no—
722C2×C22⋊D17#4118yescomplemented
723C2×C22⋊D17C2414yes—
724C2×C22⋊D17C2414yes—
725C2×C22⋊D17C2414yes—
726C2×C22⋊D17C2414yes—
727C2×C22⋊D17C2414yes—
728C2×C22⋊D17C2414yes—
729C2×C22⋊D17C2414yes—
730C2×C22⋊D17C2414yes—
731C2×C22⋊D17C2414yes—
732C2×C22⋊D17C2414yes—
733C2×C22⋊D17C2414yes—
734C2×C22⋊D17C2414yes—
735C2×C22⋊D17C2414yes—
736C2×C22⋊D17C2414yes—
737C2×C22⋊D17C2414yes—
738C2×C22⋊D17C2414yes—
739C22×Dic17—24no—
740C22×Dic17—24no—
741C22×Dic17—28no—
742C22×Dic17—44no—
743C22×Dic17—42no—
744C22×Dic17—44no—
745C22×Dic17—42no—
746C22×Dic17—44no—
747C22×Dic17—42no—
748C22×Dic17—42no—
749C22×Dic17—44no—
750C22×Dic17—42no—
751C22×Dic17C2412yes—
752C22×Dic17C2411yescharacteristic
753C22×Dic17C2411yescharacteristic
754C22×Dic17C2411yescharacteristic
755C22×Dic17C2411yescharacteristic
756C22×Dic17C2411yescharacteristic
757C22×Dic17C2414yes—
758C22×Dic17C2412yes—
759C22×Dic17C2412yes—
760C22×Dic17C2414yes—
761C22×Dic17C2412yes—
762C22×Dic17C2412yes—
763C22×Dic17C2412yes—
764C22×Dic17C2412yes—
765C22×Dic17C2412yes—
766C22×Dic17C2411yescharacteristic
767C22×Dic17C2412yes—
768C22×Dic17C2414yes—
769C22×Dic17C2411yescharacteristic
770C22×Dic17C2412yes—
771C22×Dic17C2412yes—
772C22×Dic17C2412yes—
773C22×Dic17C2412yes—
774C22×Dic17C2412yes—
775C22×Dic17C2411yescharacteristic
776C22×Dic17C2412yes—
777C22×Dic17C2411yescharacteristic
778C22×Dic17C2411yescharacteristic
779#63256—44no—
780Q8×D17—44no—
781#63254—216no—
782#63254—216no—
783#63254—216no—
784#63254—48no—
785#63254—48no—
786#63254—44no—
787#63254—48no—
788D4×D17—216no—
789D4×D17—216no—
790D4×D17—44no—
791D4×D17—48no—
792D4×D17—48no—
793#63252—216no—
794#63252—48no—
795#63252—44no—
796#63252—44no—
797C2×D68C2414yes—
798C2×D68C2412yes—
799C2×D68C2412yes—
800C2×D68C2414yes—
801C2×D68C2414yes—
802C2×C4×D17—28no—
803C2×C4×D17—42no—
804C2×C4×D17—44no—
805C2×C4×D17—42no—
806C2×C4×D17—44no—
807C2×C4×D17—42no—
808C2×C4×D17—42no—
809C2×C4×D17—44no—
810C2×C4×D17—48no—
811C2×C4×D17—44no—
812C2×C4×D17C2412yes—
813C2×C4×D17C2412yes—
814C2×C4×D17C2412yes—
815C2×C4×D17C2412yes—
816C2×C4×D17C2414yes—
817C2×C4×D17C2414yes—
818C2×C4×D17C2414yes—
819C2×C4×D17C2412yes—
820C2×C4×D17C2412yes—
821C2×C4×D17C2412yes—
822C2×C4×D17C2412yes—
823C2×C4×D17C2414yes—
824C2×C4×D17C2414yes—
825C2×C4×D17C2414yes—
826C2×C4×D17C2414yes—
827C2×C4×D17C2414yes—
828C2×Dic34—44no—
829C2×Dic34C2414yes—
830C2×Dic34C2414yes—
831C2×Dic34C2414yes—
832C2×Dic34C2412yes—
833C2×Dic34C2412yes—
834C4⋊C4×C17C2414yes—
835C4⋊C4×C17C2414yes—
836C4⋊C4×C17C2412yes—
837C4⋊C4×C17C2412yes—
838C4⋊C4×C17C2414yes—
839C4⋊C4×C17C2414yes—
840C4⋊C4×C17C2412yes—
841C4⋊C4×C17C2412yes—
842C22⋊C4×C17C2414yes—
843C22⋊C4×C17C2414yes—
844C22⋊C4×C17C2414yes—
845C22⋊C4×C17C2414yes—
846C22⋊C4×C17C2414yes—
847C22⋊C4×C17C2414yes—
848C22⋊C4×C17C2414yes—
849C22⋊C4×C17C2414yes—
850C22⋊C4×C17C2414yes—
851C22⋊C4×C17C2414yes—
852C22⋊C4×C17C2414yes—
853C22⋊C4×C17C2414yes—
854C22⋊C4×C17C2414yes—
855C22⋊C4×C17C2414yes—
856C42×C17C2414yes—
857C42×C17C2414yes—
858C22⋊Dic17C2414yes—
859C22⋊Dic17C2414yes—
860C22⋊Dic17C2414yes—
861C22⋊Dic17C2414yes—
862C22⋊Dic17C2414yes—
863C22⋊Dic17C2414yes—
864C22⋊Dic17C2414yes—
865C22⋊Dic17C2414yes—
866C22⋊Dic17C2414yes—
867C22⋊Dic17C2414yes—
868C22⋊Dic17C2414yes—
869C22⋊Dic17C2414yes—
870#63227C2414yes—
871#63227C2414yes—
872#63227C2414yes—
873#63227C2414yes—
874#63227C2414yes—
875#63227C2414yes—
876#63227C2414yes—
877#63227C2414yes—
878#63227C2414yes—
879#63227C2414yes—
880#63227C2414yes—
881#63227C2414yes—
882#63227C2414yes—
883#63227C2414yes—
884#63227C2414yes—
885#63227C2414yes—
886#63227C2414yes—
887#63227C2414yes—
888#63227C2414yes—
889#63227C2414yes—
890C4⋊Dic17C2414yes—
891C4⋊Dic17C2414yes—
892C4⋊Dic17C2414yes—
893C4⋊Dic17C2414yes—
894C4⋊Dic17C2414yes—
895C4⋊Dic17C2414yes—
896C4⋊Dic17C2412yes—
897C4⋊Dic17C2412yes—
898C4⋊Dic17C2412yes—
899C4⋊Dic17C2412yes—
900#63225C2414yes—
901#63225C2414yes—
902#63225C2414yes—
903#63225C2414yes—
904#63225C2414yes—
905#63225C2414yes—
906#63225C2414yes—
907#63225C2414yes—
908#63225C2414yes—
909#63225C2414yes—
910#63225C2414yes—
911#63225C2414yes—
912#63225C2414yes—
913#63225C2414yes—
914#63225C2414yes—
915#63225C2414yes—
916#63225C2414yes—
917#63225C2414yes—
918#63225C2414yes—
919#63225C2414yes—
920C4×Dic17C2412yes—
921C4×Dic17C2414yes—
922C4×Dic17C2412yes—
923C4×Dic17C2414yes—
924C4×Dic17C2414yes—
925C4×Dic17C2414yes—
926C4×Dic17C2412yes—
927C4×Dic17C2414yes—
928C4×Dic17C2414yes—
929C4×Dic17C2414yes—
930C4×Dic17C2414yes—
931C4×Dic17C2412yes—
932C4×Dic17C2412yes—
933C4×Dic17C2412yes—
934C4×Dic17C2412yes—
935C4×Dic17C2412yes—
936#62773—171nomaximal, Sylow
937C23×C17—22no—
938C23×C17—22no—
939C23×C17—22no—
940C23×C17—24no—
941C23×C17—24no—
942C23×C17—22no—
943C23×C17—24no—
944C23×C17—24no—
945C23×C17—24no—
946C23×C17—41no—
947C23×C17—42no—
948C23×C17—41no—
949C23×C17—41no—
950C23×C17—42no—
951C23×C17—41no—
952C23×C17—42no—
953C23×C17—42no—
954C23×C17—416no—
955C23×C17C2×#4114yescomplemented
956C23×C17C2514yes—
957C23×C17C2512yes—
958C23×C17C2511yescharacteristic
959C23×C17C2512yes—
960C23×C17C2511yescharacteristic
961C23×C17C2511yescharacteristic
962C22×D17—22no—
963C22×D17—24no—
964C22×D17—24no—
965C22×D17—24no—
966C22×D17—24no—
967C22×D17—24no—
968C22×D17—28no—
969C22×D17—41no—
970C22×D17—42no—
971C22×D17—41no—
972C22×D17—41no—
973C22×D17—42no—
974C22×D17—41no—
975C22×D17—44no—
976C22×D17—42no—
977C22×D17—44no—
978C22×D17—42no—
979C22×D17—416no—
980C22×D17C2×#4114yescomplemented
981C22×D17C2514yes—
982C22×D17C2512yes—
983C22×D17C2512yes—
984Q8×C17—42no—
985Q8×C17—42no—
986D4×C17—28no—
987D4×C17—28no—
988D4×C17—28no—
989D4×C17—28no—
990D4×C17—42no—
991D4×C17—44no—
992D4×C17—44no—
993D4×C17—42no—
994C2×C4×C17—24no—
995C2×C4×C17—24no—
996C2×C4×C17—24no—
997C2×C4×C17—42no—
998C2×C4×C17—41no—
999C2×C4×C17—42no—
1000C2×C4×C17—41no—
1001C2×C4×C17—44no—
1002C2×C4×C17—41no—
1003C2×C4×C17—42no—
1004C2×C4×C17—41no—
1005C2×C4×C17—42no—
1006C2×C4×C17—44no—
1007C2×C4×C17C2514yes—
1008C2×C4×C17C2512yes—
1009C2×C4×C17C2512yes—
1010C2×C4×C17C2514yes—
1011C2×C4×C17C2514yes—
1012C2×C4×C17C2512yes—
1013C2×C4×C17C2512yes—
1014C22⋊D17—28no—
1015C22⋊D17—28no—
1016C22⋊D17—28no—
1017C22⋊D17—28no—
1018C22⋊D17—28no—
1019C22⋊D17—28no—
1020C22⋊D17—28no—
1021C22⋊D17—28no—
1022C22⋊D17—28no—
1023C22⋊D17—28no—
1024C22⋊D17—44no—
1025C22⋊D17—44no—
1026C22⋊D17—44no—
1027C22⋊D17—44no—
1028C22⋊D17—44no—
1029C22⋊D17C2×#41116yescomplemented
1030C2×Dic17—24no—
1031C2×Dic17—22no—
1032C2×Dic17—22no—
1033C2×Dic17—24no—
1034C2×Dic17—28no—
1035C2×Dic17—24no—
1036C2×Dic17—24no—
1037C2×Dic17—24no—
1038C2×Dic17—22no—
1039C2×Dic17—22no—
1040C2×Dic17—22no—
1041C2×Dic17—22no—
1042C2×Dic17—28no—
1043C2×Dic17—24no—
1044C2×Dic17—24no—
1045C2×Dic17—24no—
1046C2×Dic17—42no—
1047C2×Dic17—44no—
1048C2×Dic17—41no—
1049C2×Dic17—42no—
1050C2×Dic17—42no—
1051C2×Dic17—42no—
1052C2×Dic17—42no—
1053C2×Dic17—42no—
1054C2×Dic17—41no—
1055C2×Dic17—42no—
1056C2×Dic17C2×#4114yescomplemented
1057C2×Dic17H(5,𝔽2)14yescomplemented
1058C2×Dic17C2514yes—
1059C2×Dic17C2514yes—
1060C2×Dic17C2514yes—
1061C2×Dic17C2511yescharacteristic
1062C2×Dic17C2511yescharacteristic
1063C2×Dic17C2512yes—
1064C2×Dic17C2512yes—
1065C2×Dic17C2512yes—
1066C2×Dic17C2512yes—
1067C2×Dic17C2511yescharacteristic
1068C2×Dic17C2511yescharacteristic
1069D68—28no—
1070D68—42no—
1071D68—44no—
1072D68—42no—
1073D68—44no—
1074C4×D17—28no—
1075C4×D17—28no—
1076C4×D17—24no—
1077C4×D17—24no—
1078C4×D17—24no—
1079C4×D17—24no—
1080C4×D17—28no—
1081C4×D17—42no—
1082C4×D17—42no—
1083C4×D17—42no—
1084C4×D17—42no—
1085C4×D17—44no—
1086C4×D17—44no—
1087C4×D17—44no—
1088C4×D17—44no—
1089C4×D17—44no—
1090Dic34—28no—
1091Dic34—28no—
1092Dic34—44no—
1093Dic34—42no—
1094Dic34—42no—
1095#3520—174no—
1096#3519—174no—
1097#3513—174no—
1098#3513—174no—
1099#3506—172no—
1100#3505—172no—
1101#3505—172no—
1102#3501—171no—
1103#3496—171no—
1104#3492—172no—
1105#3490—172no—
1106#3490—171no—
1107#3490D1711yescharacteristic, complemented
1108#3484—172no—
1109#3481—174no—
1110#3481—174no—
1111#3475—174no—
1112D4×#41—174no—
1113#3460—172no—
1114#3459—171no—
1115#3459—172no—
1116#3459—171no—
1117#3444—172no—
1118C2×#525—172no—
1119C2×#525—172no—
1120C4×H(5,𝔽2)—172no—
1121C22×C4×D4—171no—
1122C22×C17—28no—
1123C22×C17—21no—
1124C22×C17—21no—
1125C22×C17—22no—
1126C22×C17—21no—
1127C22×C17—21no—
1128C22×C17—22no—
1129C22×C17—21no—
1130C22×C17—21no—
1131C22×C17—24no—
1132C22×C17—22no—
1133C22×C17—22no—
1134C22×C17—24no—
1135C22×C17—22no—
1136C22×C17—24no—
1137C22×C17—44no—
1138C22×C17—48no—
1139C22×C17—48no—
1140C22×C17—44no—
1141C22×C17—84no—
1142C22×C17C22×#4112yes—
1143C22×C17C22×#4114yes—
1144C22×C17C2×H(5,𝔽2)12yes—
1145C22×C17#58512yes—
1146C22×C17C2611yescharacteristic
1147C2×D17—22no—
1148C2×D17—22no—
1149C2×D17—24no—
1150C2×D17—22no—
1151C2×D17—22no—
1152C2×D17—24no—
1153C2×D17—24no—
1154C2×D17—22no—
1155C2×D17—44no—
1156C2×D17—48no—
1157C2×D17—48no—
1158C2×D17—44no—
1159C2×D17—88no—
1160C2×D17—84no—
1161C2×D17C22×#4114yes—
1162C4×C17—24no—
1163C4×C17—24no—
1164C4×C17—22no—
1165C4×C17—22no—
1166C4×C17—22no—
1167C4×C17—22no—
1168C4×C17—24no—
1169Dic17—24no—
1170Dic17—22no—
1171Dic17—24no—
1172Dic17—22no—
1173Dic17—21no—
1174Dic17—21no—
1175Dic17—22no—
1176Dic17—24no—
1177Dic17C22×#4114yes—
1178Dic17C2×H(5,𝔽2)12yes—
1179Dic17C2×H(5,𝔽2)12yes—
1180C2×H(5,𝔽2)—172no—
1181C22×#41—172no—
1182C22×#41—172no—
1183C23×D4—171no—
1184C24×C4—171no—
1185C24×C4—171no—
1186#559—174no—
1187#559—174no—
1188#556—174no—
1189#555—174no—
1190#554—174no—
1191#554—174no—
1192#554—174no—
1193#554—174no—
1194#554—174no—
1195#553—174no—
1196#553—174no—
1197#553—174no—
1198#553—174no—
1199#553—174no—
1200#553—174no—
1201#553—174no—
1202#553—174no—
1203#553—174no—
1204#553—174no—
1205#552—174no—
1206#552—174no—
1207#552—174no—
1208#552—174no—
1209#551—174no—
1210#551—174no—
1211#551—174no—
1212#551—174no—
1213#551—174no—
1214#551—174no—
1215#551—174no—
1216#551—174no—
1217#551—174no—
1218#551—174no—
1219#551C2×D1714yescomplemented
1220#551C2×D1714yescomplemented
1221#550—174no—
1222D4×Q8—174no—
1223#548—174no—
1224#548—174no—
1225#547—174no—
1226#547—174no—
1227#547—174no—
1228#547—174no—
1229#546—174no—
1230#546—174no—
1231#546—174no—
1232#546—174no—
1233#546—174no—
1234#546—174no—
1235#546—174no—
1236#546—174no—
1237#546—174no—
1238#546—174no—
1239#546—174no—
1240#546—174no—
1241#546—174no—
1242#546—174no—
1243#546C2×D1714yescomplemented
1244#546C2×D1714yescomplemented
1245D42—174no—
1246D42—174no—
1247D42—174no—
1248D42—174no—
1249D42—174no—
1250#544—172no—
1251#543—172no—
1252#543—171no—
1253#543C2×D1711yescharacteristic, complemented
1254#542—174no—
1255#542—174no—
1256#540—174no—
1257#540—174no—
1258#539—174no—
1259#539—174no—
1260#539—174no—
1261#539—172no—
1262#539—174no—
1263#539—172no—
1264#539—174no—
1265#538—174no—
1266#538—172no—
1267#538—174no—
1268#538—172no—
1269#538—174no—
1270#538—174no—
1271#538—174no—
1272#538—172no—
1273#538—172no—
1274#538C2×D1712yescomplemented
1275#538C2×D1712yescomplemented
1276#537—172no—
1277#535—174no—
1278#534—172no—
1279#534—172no—
1280#534—174no—
1281#534—172no—
1282#534—171no—
1283#534C2×D1711yescharacteristic, complemented
1284#533—172no—
1285#533—172no—
1286#533—172no—
1287#532—172no—
1288#532—174no—
1289#532—172no—
1290#532—172no—
1291#532—174no—
1292#529—174no—
1293#529—174no—
1294#529—174no—
1295#529—174no—
1296#529—174no—
1297#529—174no—
1298#529—174no—
1299#529—172no—
1300#529—172no—
1301#529—174no—
1302#529—172no—
1303#529—172no—
1304#529—174no—
1305#529—174no—
1306#525—172no—
1307#525—172no—
1308#525—172no—
1309#525—174no—
1310#525—174no—
1311#525—172no—
1312#525—172no—
1313#525—174no—
1314#525—172no—
1315#525—172no—
1316#525—174no—
1317#525—174no—
1318#525—174no—
1319#525—174no—
1320#525—174no—
1321#525—174no—
1322#525—174no—
1323#525—174no—
1324#525—174no—
1325#525—174no—
1326#525—174no—
1327#525—174no—
1328#525—174no—
1329#525—172no—
1330#525C2×D1712yescomplemented
1331#525C2×D1712yescomplemented
1332C2×#123—172no—
1333C2×#123—174no—
1334C2×#123—172no—
1335C2×C22⋊Q8—172no—
1336C2×C22⋊Q8—172no—
1337C2×C22⋊Q8—172no—
1338C2×C22⋊Q8—172no—
1339C2×#121—172no—
1340C2×#121—172no—
1341C2×#121—172no—
1342C2×#121—172no—
1343C2×#120—172no—
1344C2×#120—174no—
1345C2×#120C2×D1712yescomplemented
1346#520—174no—
1347#520—174no—
1348#520—174no—
1349#518—174no—
1350#518—174no—
1351#518—172no—
1352#518—172no—
1353#518—174no—
1354#518C2×D1712yescomplemented
1355C4×#41—172no—
1356C4×#41—174no—
1357C4×#41—174no—
1358C4×#41—174no—
1359C4×#41—172no—
1360C4×#41—174no—
1361C2×C4×D4—172no—
1362C2×C4×D4—172no—
1363C2×C4×D4—174no—
1364C2×C4×D4—174no—
1365C2×C4×D4—174no—
1366C2×C4×D4—171no—
1367C2×C4×D4—171no—
1368C2×C4×D4—171no—
1369C2×C4×D4—171no—
1370C2×C4×D4—171no—
1371C2×C4×D4—174no—
1372C2×C4×D4—174no—
1373C2×C4×D4—171no—
1374C2×C4×D4—171no—
1375C2×C4×D4—171no—
1376C2×C4×D4—174no—
1377C2×C4×D4—174no—
1378C2×C4×D4—172no—
1379C2×C4×D4—172no—
1380C2×C4×D4—174no—
1381C2×#117—172no—
1382C2×#117—172no—
1383C22×C4⋊C4—171no—
1384C22×C22⋊C4—171no—
1385C22×C22⋊C4C2×D1711yescharacteristic, complemented
1386C22×C42—171no—
1387C2×C17—22no—
1388C2×C17—22no—
1389C2×C17—22no—
1390C2×C17—24no—
1391C2×C17—44no—
1392C2×C17—42no—
1393C2×C17C23×#4111yescharacteristic
1394C2×C17C22×H(5,𝔽2)11yescharacteristic
1395C2×C17C2×#58511yescharacteristic
1396D17—24no—
1397D17—42no—
1398D17—44no—
1399C25—171no—
1400C25C22×D1711yescharacteristic
1401H(5,𝔽2)—3416no—
1402C2×#41—172no—
1403C2×#41—174no—
1404C2×#41—174no—
1405C2×#41—174no—
1406C2×#41—172no—
1407C2×#41—174no—
1408C2×#41—174no—
1409C2×#41—174no—
1410C2×#41—174no—
1411C2×#41—172no—
1412C2×#41—172no—
1413C2×#41—174no—
1414C2×#41—688no—
1415C2×#41—688no—
1416C2×#41C22×D1712yes—
1417C2×#41C22×D1712yes—
1418C22×Q8—172no—
1419C22×Q8—172no—
1420C22×D4—171no—
1421C22×D4—171no—
1422C22×D4—171no—
1423C22×D4—171no—
1424C22×D4—174no—
1425C22×D4—174no—
1426C22×D4—172no—
1427C22×D4—174no—
1428C22×D4—172no—
1429C22×D4—172no—
1430C22×D4—172no—
1431C22×D4—174no—
1432C22×D4—174no—
1433C22×D4—174no—
1434C22×D4—174no—
1435C22×D4—172no—
1436C22×D4—348no—
1437C22×D4C22×D1712yes—
1438C22×D4C22×D1712yes—
1439C22×D4C22×D1712yes—
1440C23×C4—171no—
1441C23×C4—172no—
1442C23×C4—171no—
1443C23×C4—171no—
1444C23×C4—171no—
1445C23×C4—172no—
1446C23×C4—172no—
1447C23×C4—171no—
1448C23×C4—172no—
1449C23×C4—172no—
1450C23×C4—171no—
1451C23×C4—171no—
1452C23×C4—172no—
1453C23×C4—171no—
1454C23×C4—172no—
1455C23×C4—172no—
1456C23×C4—174no—
1457C23×C4—171no—
1458C23×C4—172no—
1459C23×C4—172no—
1460C23×C4—171no—
1461C23×C4—171no—
1462C23×C4—684no—
1463C23×C4—684no—
1464C23×C4C22×D1711yescharacteristic
1465C23×C4C22×D1711yescharacteristic
1466C4⋊Q8—172no—
1467C4⋊Q8—174no—
1468C4⋊Q8—172no—
1469C4⋊Q8—172no—
1470C4⋊Q8—174no—
1471#127—172no—
1472#127—174no—
1473#127—174no—
1474#126—174no—
1475#126—174no—
1476#126—174no—
1477#126—174no—
1478#126—174no—
1479#126—174no—
1480#126—174no—
1481#126—174no—
1482#126—174no—
1483#126—174no—
1484#126—174no—
1485#126—174no—
1486#126—174no—
1487#126—174no—
1488#126C22×D1714yescomplemented
1489#126C22×D1714yescomplemented
1490#125—172no—
1491#125—172no—
1492#125—174no—
1493#125—174no—
1494#125—174no—
1495#125—174no—
1496#125—174no—
1497#125—174no—
1498#125—174no—
1499#125—174no—
1500#124—172no—
1501#124—174no—
1502#124—172no—
1503#124—174no—
1504#124—174no—
1505#124—174no—
1506#124—174no—
1507#124—174no—
1508#124—174no—
1509#124—174no—
1510#124—174no—
1511#124—174no—
1512#124C22×D1714yescomplemented
1513#124C22×D1714yescomplemented
1514#123—174no—
1515#123—174no—
1516#123—174no—
1517#123—174no—
1518#123—174no—
1519#123—174no—
1520#123—174no—
1521#123—174no—
1522#123—174no—
1523#123—174no—
1524#123—174no—
1525#123—174no—
1526#123—174no—
1527#123—174no—
1528#123—174no—
1529#123—174no—
1530#123—174no—
1531#123—174no—
1532#123—174no—
1533#123—174no—
1534#123—174no—
1535#123—174no—
1536#123—174no—
1537#123—174no—
1538#123—174no—
1539#123—174no—
1540#123—174no—
1541#123—174no—
1542#123—174no—
1543#123—174no—
1544#123—174no—
1545#123—174no—
1546#123—174no—
1547#123C22×D1714yes—
1548#123C22×D1714yes—
1549#123C22×D1714yescomplemented
1550#123C22×D1714yescomplemented
1551#123C22×D1714yescomplemented
1552C22⋊Q8—172no—
1553C22⋊Q8—172no—
1554C22⋊Q8—174no—
1555C22⋊Q8—174no—
1556C22⋊Q8—172no—
1557C22⋊Q8—172no—
1558C22⋊Q8—172no—
1559C22⋊Q8—172no—
1560C22⋊Q8—174no—
1561C22⋊Q8—172no—
1562C22⋊Q8—174no—
1563C22⋊Q8—174no—
1564C22⋊Q8—172no—
1565C22⋊Q8—174no—
1566C22⋊Q8—174no—
1567C22⋊Q8—174no—
1568C22⋊Q8—174no—
1569C22⋊Q8—174no—
1570C22⋊Q8—174no—
1571C22⋊Q8—174no—
1572C22⋊Q8—174no—
1573C22⋊Q8—174no—
1574C22⋊Q8—174no—
1575C22⋊Q8—174no—
1576C22⋊Q8—174no—
1577C22⋊Q8—174no—
1578C22⋊Q8—174no—
1579C22⋊Q8—174no—
1580C22⋊Q8—174no—
1581C22⋊Q8—174no—
1582C22⋊Q8—174no—
1583C22⋊Q8—174no—
1584C22⋊Q8C22×D1712yes—
1585C22⋊Q8C22×D1712yes—
1586C22⋊Q8C22×D1712yes—
1587C22⋊Q8C22×D1712yes—
1588C22⋊Q8C22×D1714yescomplemented
1589C22⋊Q8C22×D1714yescomplemented
1590#121—174no—
1591#121—174no—
1592#121—174no—
1593#121—172no—
1594#121—174no—
1595#121—174no—
1596#121—172no—
1597#121—174no—
1598#121—174no—
1599#121—174no—
1600#121—174no—
1601#121—174no—
1602#121—174no—
1603#121—174no—
1604#121—174no—
1605#121—174no—
1606#121—174no—
1607#121—174no—
1608#121—174no—
1609#121—174no—
1610#121—172no—
1611#121—172no—
1612#121—172no—
1613#121—172no—
1614#121—174no—
1615#121—174no—
1616#121—174no—
1617#121—172no—
1618#121—172no—
1619#121—174no—
1620#121—174no—
1621#121—174no—
1622#121—174no—
1623#121—174no—
1624#121—174no—
1625#121—174no—
1626#121—174no—
1627#121—174no—
1628#121—174no—
1629#121—174no—
1630#121C22×D1712yes—
1631#121C22×D1712yes—
1632#121C22×D1712yes—
1633#121C22×D1712yes—
1634#121C22×D1714yescomplemented
1635#121C22×D1714yescomplemented
1636#120—174no—
1637#120—174no—
1638#120—174no—
1639#120—174no—
1640#120—174no—
1641#120—174no—
1642#120—174no—
1643#120—174no—
1644#120—174no—
1645#120—174no—
1646#120—174no—
1647#120—174no—
1648#120—174no—
1649#120—174no—
1650#120—174no—
1651#120—174no—
1652#120—174no—
1653#120C22×D1714yes—
1654#120C22×D1714yes—
1655#120C22×D1714yes—
1656#120C22×D1714yes—
1657#120C22×D1714yescomplemented
1658C4×Q8—172no—
1659C4×Q8—172no—
1660C4×Q8—174no—
1661C4×Q8—174no—
1662C4×Q8—172no—
1663C4×Q8—174no—
1664C4×Q8—172no—
1665C4×Q8—174no—
1666C4×Q8—174no—
1667C4×Q8—174no—
1668C4×D4—174no—
1669C4×D4—174no—
1670C4×D4—174no—
1671C4×D4—174no—
1672C4×D4—174no—
1673C4×D4—174no—
1674C4×D4—174no—
1675C4×D4—174no—
1676C4×D4—172no—
1677C4×D4—174no—
1678C4×D4—174no—
1679C4×D4—172no—
1680C4×D4—174no—
1681C4×D4—174no—
1682C4×D4—174no—
1683C4×D4—174no—
1684C4×D4—174no—
1685C4×D4—174no—
1686C4×D4—174no—
1687C4×D4—174no—
1688C4×D4—174no—
1689C4×D4—174no—
1690C4×D4—174no—
1691C4×D4—174no—
1692C4×D4—174no—
1693C4×D4—174no—
1694C4×D4—174no—
1695C4×D4—172no—
1696C4×D4—172no—
1697C4×D4—174no—
1698C4×D4—174no—
1699C4×D4—174no—
1700C4×D4—174no—
1701C4×D4—174no—
1702C4×D4—174no—
1703C4×D4—174no—
1704C4×D4—174no—
1705C4×D4—174no—
1706C4×D4—174no—
1707C4×D4—174no—
1708C4×D4—174no—
1709C4×D4—174no—
1710C4×D4—174no—
1711C4×D4—174no—
1712C4×D4—174no—
1713C4×D4—174no—
1714C4×D4—174no—
1715C4×D4—174no—
1716C4×D4—174no—
1717C4×D4—174no—
1718C4×D4—174no—
1719C4×D4—174no—
1720C4×D4—174no—
1721C4×D4—174no—
1722C4×D4—174no—
1723C4×D4—174no—
1724C4×D4—174no—
1725C4×D4—174no—
1726C4×D4—174no—
1727C4×D4—174no—
1728C4×D4—174no—
1729C4×D4—174no—
1730C4×D4—174no—
1731C4×D4—174no—
1732C4×D4—174no—
1733C4×D4—174no—
1734C4×D4—174no—
1735C4×D4—174no—
1736C4×D4C22×D1714yes—
1737C4×D4C22×D1714yes—
1738C4×D4C22×D1714yes—
1739C4×D4C22×D1714yes—
1740C4×D4C22×D1714yescomplemented
1741C4×D4C22×D1714yescomplemented
1742#117—172no—
1743#117—172no—
1744#117—174no—
1745#117—172no—
1746#117—172no—
1747#117—174no—
1748#117—174no—
1749#117—174no—
1750#117—174no—
1751#117—174no—
1752#117—174no—
1753#117—174no—
1754#117—174no—
1755#117—174no—
1756#117—174no—
1757#117—174no—
1758#117—174no—
1759#117—174no—
1760#117—174no—
1761#117—174no—
1762#117—174no—
1763#117C22×D1712yes—
1764#117C22×D1712yes—
1765#117C22×D1714yescomplemented
1766C2×C4⋊C4—171no—
1767C2×C4⋊C4—171no—
1768C2×C4⋊C4—171no—
1769C2×C4⋊C4—171no—
1770C2×C4⋊C4—174no—
1771C2×C4⋊C4—174no—
1772C2×C4⋊C4—172no—
1773C2×C4⋊C4—172no—
1774C2×C4⋊C4—172no—
1775C2×C4⋊C4—172no—
1776C2×C4⋊C4—174no—
1777C2×C4⋊C4—172no—
1778C2×C4⋊C4—172no—
1779C2×C4⋊C4—172no—
1780C2×C4⋊C4—172no—
1781C2×C4⋊C4—174no—
1782C2×C4⋊C4—174no—
1783C2×C4⋊C4—174no—
1784C2×C22⋊C4—172no—
1785C2×C22⋊C4—172no—
1786C2×C22⋊C4—172no—
1787C2×C22⋊C4—172no—
1788C2×C22⋊C4—172no—
1789C2×C22⋊C4—171no—
1790C2×C22⋊C4—171no—
1791C2×C22⋊C4—171no—
1792C2×C22⋊C4—171no—
1793C2×C22⋊C4—174no—
1794C2×C22⋊C4—174no—
1795C2×C22⋊C4—172no—
1796C2×C22⋊C4—174no—
1797C2×C22⋊C4—172no—
1798C2×C22⋊C4—174no—
1799C2×C22⋊C4—174no—
1800C2×C22⋊C4—174no—
1801C2×C22⋊C4—174no—
1802C2×C22⋊C4—174no—
1803C2×C22⋊C4—174no—
1804C2×C22⋊C4—174no—
1805C2×C22⋊C4C22×D1711yescharacteristic
1806C2×C22⋊C4C22×D1711yescharacteristic
1807C2×C22⋊C4C22×D1711yescharacteristic
1808C2×C22⋊C4C22×D1711yescharacteristic
1809C2×C22⋊C4C22×D1714yes—
1810C2×C22⋊C4C22×D1714yes—
1811C2×C22⋊C4C22×D1712yes—
1812C2×C22⋊C4C22×D1712yes—
1813C2×C22⋊C4C22×D1712yes—
1814C2×C22⋊C4C22×D1714yescomplemented
1815C2×C42—172no—
1816C2×C42—172no—
1817C2×C42—171no—
1818C2×C42—172no—
1819C2×C42—172no—
1820C2×C42—171no—
1821C2×C42—172no—
1822C2×C42—171no—
1823C2×C42—172no—
1824C2×C42—171no—
1825C2×C42—174no—
1826C2×C42—174no—
1827C2×C42—174no—
1828C17#6277311yescharacteristic, complemented, Sylow
1829C24—24no—
1830C24—42no—
1831C24—42no—
1832C24—171no—
1833C24—172no—
1834C24—172no—
1835C24—174no—
1836C24—172no—
1837C24—171no—
1838C24—344no—
1839C24—682no—
1840C24—682no—
1841C24C23×D1711yescharacteristic
1842C24C23×D1712yes—
1843C24C23×D1712yes—
1844C24C23×D1712yes—
1845C24C23×D1711yescharacteristic
1846C24C23×D1711yescharacteristic
1847#41—44no—
1848#41—44no—
1849#41—3416no—
1850#41—3416no—
1851#41—3416no—
1852#41—3416no—
1853#41—684no—
1854#41—684no—
1855#41—688no—
1856#41—684no—
1857#41—688no—
1858#41—684no—
1859#41—688no—
1860#41—688no—
1861C2×Q8—174no—
1862C2×Q8—174no—
1863C2×Q8—172no—
1864C2×Q8—172no—
1865C2×Q8—174no—
1866C2×Q8—684no—
1867C2×Q8—684no—
1868C2×Q8C23×D1712yes—
1869C2×Q8C23×D1712yes—
1870C2×D4—28no—
1871C2×D4—44no—
1872C2×D4—44no—
1873C2×D4—178no—
1874C2×D4—174no—
1875C2×D4—174no—
1876C2×D4—174no—
1877C2×D4—174no—
1878C2×D4—174no—
1879C2×D4—174no—
1880C2×D4—174no—
1881C2×D4—174no—
1882C2×D4—174no—
1883C2×D4—174no—
1884C2×D4—174no—
1885C2×D4—174no—
1886C2×D4—174no—
1887C2×D4—174no—
1888C2×D4—174no—
1889C2×D4—174no—
1890C2×D4—174no—
1891C2×D4—172no—
1892C2×D4—174no—
1893C2×D4—174no—
1894C2×D4—172no—
1895C2×D4—344no—
1896C2×D4—3416no—
1897C2×D4—3416no—
1898C2×D4—3416no—
1899C2×D4—3416no—
1900C2×D4—3416no—
1901C2×D4—344no—
1902C2×D4—344no—
1903C2×D4—348no—
1904C2×D4—684no—
1905C2×D4—684no—
1906C2×D4—688no—
1907C2×D4—688no—
1908C2×D4—684no—
1909C2×D4—684no—
1910C2×D4C23×D1714yes—
1911C2×D4C23×D1714yes—
1912C2×D4C23×D1714yes—
1913C2×D4C23×D1714yes—
1914C2×D4C23×D1712yes—
1915C2×D4C23×D1714yes—
1916C2×D4C23×D1714yes—
1917C2×D4C23×D1712yes—
1918C22×C4—42no—
1919C22×C4—42no—
1920C22×C4—171no—
1921C22×C4—171no—
1922C22×C4—172no—
1923C22×C4—172no—
1924C22×C4—171no—
1925C22×C4—171no—
1926C22×C4—172no—
1927C22×C4—171no—
1928C22×C4—171no—
1929C22×C4—171no—
1930C22×C4—171no—
1931C22×C4—172no—
1932C22×C4—174no—
1933C22×C4—174no—
1934C22×C4—172no—
1935C22×C4—172no—
1936C22×C4—172no—
1937C22×C4—172no—
1938C22×C4—172no—
1939C22×C4—171no—
1940C22×C4—172no—
1941C22×C4—172no—
1942C22×C4—172no—
1943C22×C4—172no—
1944C22×C4—171no—
1945C22×C4—174no—
1946C22×C4—172no—
1947C22×C4—172no—
1948C22×C4—172no—
1949C22×C4—174no—
1950C22×C4—174no—
1951C22×C4—174no—
1952C22×C4—172no—
1953C22×C4—172no—
1954C22×C4—172no—
1955C22×C4—174no—
1956C22×C4—174no—
1957C22×C4—172no—
1958C22×C4—172no—
1959C22×C4—174no—
1960C22×C4—174no—
1961C22×C4—174no—
1962C22×C4—172no—
1963C22×C4—172no—
1964C22×C4—348no—
1965C22×C4—344no—
1966C22×C4—348no—
1967C22×C4—344no—
1968C22×C4—684no—
1969C22×C4—682no—
1970C22×C4—684no—
1971C22×C4—682no—
1972C22×C4—684no—
1973C22×C4—682no—
1974C22×C4—682no—
1975C22×C4—684no—
1976C22×C4—688no—
1977C22×C4—682no—
1978C22×C4—684no—
1979C22×C4—682no—
1980C22×C4—684no—
1981C22×C4—682no—
1982C22×C4—682no—
1983C22×C4—684no—
1984C22×C4—684no—
1985C22×C4—682no—
1986C22×C4C23×D1712yes—
1987C22×C4C23×D1712yes—
1988C22×C4C23×D1712yes—
1989C22×C4C23×D1711yescharacteristic
1990C22×C4C23×D1712yes—
1991C22×C4C23×D1711yescharacteristic
1992C22×C4C23×D1712yes—
1993C22×C4C23×D1714yes—
1994C22×C4C23×D1711yescharacteristic
1995C22×C4C23×D1712yes—
1996C22×C4C23×D1712yes—
1997C22×C4C23×D1711yescharacteristic
1998C22×C4C23×D1714yes—
1999C4⋊C4—174no—
2000C4⋊C4—174no—
2001C4⋊C4—174no—
2002C4⋊C4—174no—
2003C4⋊C4—174no—
2004C4⋊C4—174no—
2005C4⋊C4—174no—
2006C4⋊C4—174no—
2007C4⋊C4—174no—
2008C4⋊C4—174no—
2009C4⋊C4—174no—
2010C4⋊C4—174no—
2011C4⋊C4—174no—
2012C4⋊C4—174no—
2013C4⋊C4—174no—
2014C4⋊C4—174no—
2015C4⋊C4—172no—
2016C4⋊C4—172no—
2017C4⋊C4—174no—
2018C4⋊C4—174no—
2019C4⋊C4—174no—
2020C4⋊C4—174no—
2021C4⋊C4—174no—
2022C4⋊C4—174no—
2023C4⋊C4—174no—
2024C4⋊C4—174no—
2025C4⋊C4—174no—
2026C4⋊C4—174no—
2027C4⋊C4—172no—
2028C4⋊C4—172no—
2029C4⋊C4C23×D1714yes—
2030C4⋊C4C23×D1712yes—
2031C4⋊C4C23×D1712yes—
2032C4⋊C4C23×D1714yes—
2033C4⋊C4C23×D1714yes—
2034C4⋊C4C23×D1714yes—
2035C4⋊C4C23×D1712yes—
2036C4⋊C4C23×D1712yes—
2037C22⋊C4—174no—
2038C22⋊C4—174no—
2039C22⋊C4—174no—
2040C22⋊C4—174no—
2041C22⋊C4—174no—
2042C22⋊C4—174no—
2043C22⋊C4—174no—
2044C22⋊C4—174no—
2045C22⋊C4—174no—
2046C22⋊C4—174no—
2047C22⋊C4—174no—
2048C22⋊C4—174no—
2049C22⋊C4—174no—
2050C22⋊C4—174no—
2051C22⋊C4—174no—
2052C22⋊C4—174no—
2053C22⋊C4—174no—
2054C22⋊C4—174no—
2055C22⋊C4—174no—
2056C22⋊C4—174no—
2057C22⋊C4—174no—
2058C22⋊C4—174no—
2059C22⋊C4—174no—
2060C22⋊C4—174no—
2061C22⋊C4—174no—
2062C22⋊C4—174no—
2063C22⋊C4—174no—
2064C22⋊C4—174no—
2065C22⋊C4—174no—
2066C22⋊C4—174no—
2067C22⋊C4—174no—
2068C22⋊C4—174no—
2069C22⋊C4C23×D1714yes—
2070C22⋊C4C23×D1714yes—
2071C22⋊C4C23×D1714yes—
2072C22⋊C4C23×D1714yes—
2073C22⋊C4C23×D1714yes—
2074C22⋊C4C23×D1714yes—
2075C22⋊C4C23×D1714yes—
2076C22⋊C4C23×D1714yes—
2077C22⋊C4C23×D1714yes—
2078C22⋊C4C23×D1714yes—
2079C22⋊C4C23×D1714yes—
2080C22⋊C4C23×D1714yes—
2081C22⋊C4C23×D1714yes—
2082C22⋊C4C23×D1714yes—
2083C42—172no—
2084C42—174no—
2085C42—174no—
2086C42—172no—
2087C42—172no—
2088C42—172no—
2089C42—172no—
2090C42—172no—
2091C42—172no—
2092C42—172no—
2093C42—174no—
2094C42—174no—
2095C42—174no—
2096C42—174no—
2097C42—174no—
2098C42—174no—
2099C42C23×D1714yes—
2100C42C23×D1714yes—
2101C23—22no—
2102C23—22no—
2103C23—22no—
2104C23—24no—
2105C23—24no—
2106C23—22no—
2107C23—24no—
2108C23—24no—
2109C23—24no—
2110C23—41no—
2111C23—42no—
2112C23—41no—
2113C23—41no—
2114C23—42no—
2115C23—41no—
2116C23—42no—
2117C23—42no—
2118C23—416no—
2119C23—172no—
2120C23—174no—
2121C23—172no—
2122C23—174no—
2123C23—344no—
2124C23—344no—
2125C23—348no—
2126C23—342no—
2127C23—344no—
2128C23—344no—
2129C23—344no—
2130C23—681no—
2131C23—682no—
2132C23—681no—
2133C23—681no—
2134C23—682no—
2135C23—681no—
2136C23—682no—
2137C23—684no—
2138C23—682no—
2139C23—684no—
2140C23—6816no—
2141C23#41×D1714yescomplemented
2142C23C24×D1714yes—
2143C23C24×D1712yes—
2144C23C24×D1711yescharacteristic
2145C23C24×D1712yes—
2146C23C24×D1711yescharacteristic
2147C23C24×D1711yescharacteristic
2148Q8—42no—
2149Q8—42no—
2150Q8—348no—
2151Q8—348no—
2152Q8—682no—
2153Q8—684no—
2154Q8—682no—
2155D4—28no—
2156D4—28no—
2157D4—28no—
2158D4—28no—
2159D4—44no—
2160D4—44no—
2161D4—42no—
2162D4—42no—
2163D4—1716no—
2164D4—348no—
2165D4—348no—
2166D4—348no—
2167D4—348no—
2168D4—348no—
2169D4—348no—
2170D4—348no—
2171D4—348no—
2172D4—348no—
2173D4—348no—
2174D4—348no—
2175D4—682no—
2176D4—684no—
2177D4—684no—
2178D4—682no—
2179D4—684no—
2180D4—684no—
2181D4—684no—
2182D4—684no—
2183D4—684no—
2184C2×C4—24no—
2185C2×C4—24no—
2186C2×C4—24no—
2187C2×C4—41no—
2188C2×C4—42no—
2189C2×C4—41no—
2190C2×C4—41no—
2191C2×C4—42no—
2192C2×C4—41no—
2193C2×C4—42no—
2194C2×C4—44no—
2195C2×C4—42no—
2196C2×C4—44no—
2197C2×C4—174no—
2198C2×C4—174no—
2199C2×C4—171no—
2200C2×C4—172no—
2201C2×C4—171no—
2202C2×C4—174no—
2203C2×C4—174no—
2204C2×C4—172no—
2205C2×C4—171no—
2206C2×C4—171no—
2207C2×C4—172no—
2208C2×C4—174no—
2209C2×C4—172no—
2210C2×C4—344no—
2211C2×C4—344no—
2212C2×C4—344no—
2213C2×C4—344no—
2214C2×C4—348no—
2215C2×C4—348no—
2216C2×C4—348no—
2217C2×C4—342no—
2218C2×C4—342no—
2219C2×C4—344no—
2220C2×C4—342no—
2221C2×C4—342no—
2222C2×C4—344no—
2223C2×C4—344no—
2224C2×C4—344no—
2225C2×C4—344no—
2226C2×C4—344no—
2227C2×C4—348no—
2228C2×C4—348no—
2229C2×C4—342no—
2230C2×C4—344no—
2231C2×C4—342no—
2232C2×C4—344no—
2233C2×C4—682no—
2234C2×C4—682no—
2235C2×C4—682no—
2236C2×C4—682no—
2237C2×C4—684no—
2238C2×C4—684no—
2239C2×C4—684no—
2240C2×C4—684no—
2241C2×C4—684no—
2242C2×C4—681no—
2243C2×C4—682no—
2244C2×C4—682no—
2245C2×C4—682no—
2246C2×C4—682no—
2247C2×C4—682no—
2248C2×C4—681no—
2249C2×C4—682no—
2250C2×C4—684no—
2251C2×C4—682no—
2252C2×C4C24×D1712yes—
2253C2×C4C24×D1712yes—
2254C2×C4C24×D1714yes—
2255C2×C4C24×D1714yes—
2256C2×C4C24×D1712yes—
2257C2×C4C24×D1714yes—
2258C2×C4C24×D1712yes—
2259C22—28no—
2260C22—21no—
2261C22—21no—
2262C22—21no—
2263C22—21no—
2264C22—22no—
2265C22—21no—
2266C22—21no—
2267C22—22no—
2268C22—24no—
2269C22—22no—
2270C22—24no—
2271C22—22no—
2272C22—24no—
2273C22—22no—
2274C22—44no—
2275C22—48no—
2276C22—48no—
2277C22—44no—
2278C22—84no—
2279C22—174no—
2280C22—342no—
2281C22—342no—
2282C22—344no—
2283C22—342no—
2284C22—342no—
2285C22—344no—
2286C22—344no—
2287C22—342no—
2288C22—684no—
2289C22—688no—
2290C22—688no—
2291C22—684no—
2292C22—1364no—
2293C22—1368no—
2294C22C2×#41×D1714yes—
2295C22C2×#41×D1712yes—
2296C22H(5,𝔽2)×D1712yes—
2297C22#1176364412yes—
2298C22C25×D1711yescharacteristic
2299C4—24no—
2300C4—22no—
2301C4—22no—
2302C4—24no—
2303C4—22no—
2304C4—22no—
2305C4—24no—
2306C4—174no—
2307C4—172no—
2308C4—172no—
2309C4—342no—
2310C4—344no—
2311C4—341no—
2312C4—341no—
2313C4—342no—
2314C4—342no—
2315C4—344no—
2316C4—344no—
2317C2—22no—
2318C2—22no—
2319C2—22no—
2320C2—24no—
2321C2—42no—
2322C2—44no—
2323C2—344no—
2324C2—682no—
2325C2—684no—
2326C2C22×#41×D1711yescharacteristic
2327C2C2×H(5,𝔽2)×D1711yescharacteristic
2328C2C2×#1176364411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D17
commutator, socle, cosocleC22×C17C26
FittingC17×#3490C2
hypercenter#3490D17
hypocenterC17#62773
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #3490

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #14542822C2semidirect
2. #14542805C2semidirect
3. #14542717C2semidirect
4. #14542711C2semidirect
5. #14542631C2semidirect
6. #14542622C2semidirect
7. #14542614C2semidirect
8. #14542584C2semidirect
9. #14542545C2semidirect
10. #14542485C2semidirect
11. #14542473C2semidirect
12. #14542467C2semidirect
13. #14542413C2semidirect
14. #14542389C2semidirect
15. #14542387C2semidirect
16. #14542339C2semidirect
17. #14542268C2semidirect
18. #14542203C2semidirect
19. #14542196C2semidirect
20. #14542195C2semidirect
21. #14542190C2semidirect
22. #14542076C2semidirect
23. C2×#11763315C2semidirect
24. D17×#525C2semidirect
25. #14541988C2semidirect
26. C22×#10587567C2semidirect
27. C17×#3490C2semidirect
29. C22×#63254C22semidirect
30. C2×#41×D17C22semidirect
32. C24×Dic17C22semidirect
33. C23×C4×D17C22semidirect
34. #11763543C22semidirect
35. #11763541C22semidirect
36. #11763526C22semidirect
37. #11763521C22semidirect
38. #11763518C22semidirect
39. #11763517C22semidirect
40. #11763513C22semidirect
41. #11763513C22semidirect
42. #11763513C22semidirect
43. #11763510C22semidirect
44. #11763510C22semidirect
45. #11763508C22semidirect
46. #11763508C22semidirect
47. #11763508C22semidirect
48. #11763506C22semidirect
49. #11763505C22semidirect
50. #11763504C22semidirect
51. #11763502C22semidirect
52. #11763502C22semidirect
53. #11763496C22semidirect
54. #11763495C22semidirect
55. #11763492C22semidirect
56. #11763492C22semidirect
57. #11763489C22semidirect
58. #11763488C22semidirect
59. #11763486C22semidirect
60. #11763485C22semidirect
61. #11763485C22semidirect
62. #11763485C22semidirect
63. #11763483C22semidirect
64. #11763483C22semidirect
65. #11763482C22semidirect
66. #11763482C22semidirect
67. #11763477C22semidirect
68. #11763472C22semidirect
69. #11763468C22semidirect
70. #11763467C22semidirect
71. #11763458C22semidirect
72. #11763457C22semidirect
73. #11763457C22semidirect
74. #11763457C22semidirect
75. #11763454C22semidirect
76. #11763451C22semidirect
77. #11763451C22semidirect
78. #11763449C22semidirect
79. #11763449C22semidirect
80. #11763449C22semidirect
81. #11763449C22semidirect
82. #11763449C22semidirect
83. #11763448C22semidirect
84. #11763448C22semidirect
85. #11763447C22semidirect
86. #11763446C22semidirect
87. #11763446C22semidirect
88. #11763446C22semidirect
89. D4×C22⋊D17C22semidirect
90. D4×C22⋊D17C22semidirect
91. #11763441C22semidirect
92. #11763441C22semidirect
93. #11763441C22semidirect
94. #11763438C22semidirect
95. #11763435C22semidirect
96. #11763434C22semidirect
97. #11763425C22semidirect
98. #11763423C22semidirect
99. #11763411C22semidirect
100. #11763409C22semidirect
101. #11763408C22semidirect
102. #11763408C22semidirect
103. #11763404C22semidirect
104. #11763403C22semidirect
105. #11763402C22semidirect
106. #11763401C22semidirect
107. #11763400C22semidirect
108. #11763399C22semidirect
109. #11763399C22semidirect
110. #11763397C22semidirect
111. #11763397C22semidirect
112. #11763396C22semidirect
113. #11763394C22semidirect
114. #11763393C22semidirect
115. #11763392C22semidirect
116. #11763391C22semidirect
117. #11763386C22semidirect
118. #11763374C22semidirect
119. #11763371C22semidirect
120. #11763371C22semidirect
121. #11763369C22semidirect
122. #11763368C22semidirect
123. #11763367C22semidirect
124. #11763362C22semidirect
125. #11763361C22semidirect
126. #11763361C22semidirect
127. #11763358C22semidirect
128. #11763355C22semidirect
129. #11763354C22semidirect
130. #11763354C22semidirect
131. #11763354C22semidirect
132. #11763345C22semidirect
133. #11763345C22semidirect
134. #11763345C22semidirect
135. #11763342C22semidirect
136. #11763342C22semidirect
137. #11763340C22semidirect
138. #11763340C22semidirect
139. #11763339C22semidirect
140. #11763339C22semidirect
141. #11763338C22semidirect
142. #11763336C22semidirect
143. #11763336C22semidirect
144. #11763336C22semidirect
145. #11763336C22semidirect
146. #11763322C22semidirect
147. #11763322C22semidirect
148. #11763322C22semidirect
149. #11763321C22semidirect
150. #11763320C22semidirect
151. #11763320C22semidirect
152. #11763319C22semidirect
153. #11763319C22semidirect
154. #11763319C22semidirect
155. #11763318C22semidirect
156. #11763318C22semidirect
157. #11763317C22semidirect
158. #11763317C22semidirect
159. #11763316C22semidirect
160. #11763315C22semidirect
161. #11763315C22semidirect
162. #11763315C22semidirect
163. #11763315C22semidirect
164. #11763315C22semidirect
165. #11763315C22semidirect
166. #11763315C22semidirect
167. #11763315C22semidirect
168. #11763315C22semidirect
169. #11763315C22semidirect
170. C2×#10587572C22semidirect
171. C2×#10587621C22semidirect
172. #123×D17C22semidirect
173. C2×#10587564C22semidirect
174. C2×#10587564C22semidirect
175. C22⋊Q8×D17C22semidirect
176. C22⋊Q8×D17C22semidirect
177. C2×#10587625C22semidirect
178. C2×#10587625C22semidirect
179. #121×D17C22semidirect
180. #121×D17C22semidirect
181. C2×#10587639C22semidirect
182. #120×D17C22semidirect
183. #11763289C22semidirect
184. #11763288C22semidirect
185. #11763288C22semidirect
187. #11763282C22semidirect
188. #11763282C22semidirect
189. #11763281C22semidirect
190. #11763281C22semidirect
191. #41×Dic17C22semidirect
192. #11763277C22semidirect
193. #11763277C22semidirect
194. C4×#63254C22semidirect
195. C4×#63254C22semidirect
196. C4×#63254C22semidirect
197. C2×D4×Dic17C22semidirect
198. C2×D4×Dic17C22semidirect
201. C2×#10587567C22semidirect
202. C2×#10587567C22semidirect
203. C2×#10587567C22semidirect
204. C2×#10587567C22semidirect
205. C2×#10587567C22semidirect
206. C2×#10587567C22semidirect
207. C2×#10587567C22semidirect
208. C2×#10587567C22semidirect
209. C2×#10587567C22semidirect
210. C2×#10587567C22semidirect
211. C2×#10587567C22semidirect
212. C2×#10587567C22semidirect
213. C2×#10587567C22semidirect
214. C4×D4×D17C22semidirect
215. C4×D4×D17C22semidirect
216. C4×D4×D17C22semidirect
217. C2×#10587563C22semidirect
218. #117×D17C22semidirect
219. C22×#63225C22semidirect
220. C22×#63227C22semidirect
221. C22×C4×Dic17C22semidirect
222. C17×#551C22semidirect
223. C17×#551C22semidirect
224. C17×#546C22semidirect
225. C17×#546C22semidirect
226. C17×#543C22semidirect
227. C17×#538C22semidirect
228. C17×#538C22semidirect
229. C17×#534C22semidirect
230. C17×#525C22semidirect
231. C17×#525C22semidirect
232. C2×C17×#120C22semidirect
233. C17×#518C22semidirect
234. C22×C22⋊C4×C17C22semidirect
255. C22×C22⋊D17C23semidirect
268. C23×Dic17C23semidirect
270. C2×#63256C23semidirect
271. C2×Q8×D17C23semidirect
278. C2×#63254C23semidirect
279. C2×#63254C23semidirect
280. C2×#63254C23semidirect
285. C2×D4×D17C23semidirect
289. C2×#63252C23semidirect
299. C22×C4×D17C23semidirect
300. C22×C4×D17C23semidirect
301. C22×Dic34C23semidirect
302. C17×#126C23semidirect
303. C17×#126C23semidirect
304. C17×#124C23semidirect
305. C17×#124C23semidirect
308. C17×#123C23semidirect
309. C17×#123C23semidirect
310. C17×#123C23semidirect
315. C17×C22⋊Q8C23semidirect
316. C17×C22⋊Q8C23semidirect
321. C17×#121C23semidirect
322. C17×#121C23semidirect
327. C17×#120C23semidirect
332. C4×D4×C17C23semidirect
333. C4×D4×C17C23semidirect
336. C17×#117C23semidirect
346. C2×C22⋊C4×C17C23semidirect
355. C2×C22⋊Dic17C23semidirect
356. C2×C22⋊Dic17C23semidirect
357. #10587633C23semidirect
358. #10587633C23semidirect
359. #10587632C23semidirect
360. #10587632C23semidirect
361. #10587632C23semidirect
362. #10587632C23semidirect
363. Q8×Dic17C23semidirect
364. Q8×Dic17C23semidirect
365. #10587630C23semidirect
366. #10587630C23semidirect
369. #10587626C23semidirect
380. #10587625C23semidirect
381. #10587625C23semidirect
382. #10587625C23semidirect
383. #10587625C23semidirect
384. #10587625C23semidirect
385. #10587625C23semidirect
388. #10587624C23semidirect
389. #10587624C23semidirect
395. #10587623C23semidirect
396. #10587622C23semidirect
400. #10587621C23semidirect
401. #10587621C23semidirect
402. #10587621C23semidirect
409. D4×Dic17C23semidirect
410. D4×Dic17C23semidirect
411. D4×Dic17C23semidirect
412. D4×Dic17C23semidirect
413. D4×Dic17C23semidirect
414. D4×Dic17C23semidirect
421. #10587616C23semidirect
425. #10587615C23semidirect
426. #10587615C23semidirect
433. C4×C22⋊D17C23semidirect
434. C4×C22⋊D17C23semidirect
435. C4×C22⋊D17C23semidirect
436. C4×C22⋊D17C23semidirect
437. C4×C22⋊D17C23semidirect
438. C4×C22⋊D17C23semidirect
445. C2×#63227C23semidirect
446. C2×#63227C23semidirect
447. C2×#63227C23semidirect
450. #10587612C23semidirect
451. C2×C4⋊Dic17C23semidirect
452. C2×C4⋊Dic17C23semidirect
457. #10587610C23semidirect
464. C2×#63225C23semidirect
465. C2×#63225C23semidirect
466. C2×#63225C23semidirect
467. C2×#63225C23semidirect
468. C2×#63225C23semidirect
477. C2×C4×Dic17C23semidirect
478. C2×C4×Dic17C23semidirect
479. C2×C4×Dic17C23semidirect
480. #10587584C23semidirect
481. #10587584C23semidirect
482. #10587584C23semidirect
483. #10587584C23semidirect
484. #10587584C23semidirect
485. #10587584C23semidirect
486. #10587583C23semidirect
487. #10587583C23semidirect
488. #10587583C23semidirect
489. #10587582C23semidirect
490. #10587582C23semidirect
491. #10587582C23semidirect
492. #10587582C23semidirect
493. #10587582C23semidirect
494. #10587582C23semidirect
495. #10587581C23semidirect
496. #10587581C23semidirect
497. #10587581C23semidirect
498. #10587580C23semidirect
499. #10587580C23semidirect
500. #10587580C23semidirect
501. #10587580C23semidirect
502. #10587580C23semidirect
503. #10587580C23semidirect
504. #10587579C23semidirect
505. #10587579C23semidirect
506. #10587579C23semidirect
507. #10587579C23semidirect
508. #10587579C23semidirect
509. #10587578C23semidirect
510. #10587578C23semidirect
511. #10587578C23semidirect
512. #10587578C23semidirect
513. #10587578C23semidirect
514. C4⋊C4×D17C23semidirect
515. C4⋊C4×D17C23semidirect
516. C4⋊C4×D17C23semidirect
517. C4⋊C4×D17C23semidirect
518. C4⋊C4×D17C23semidirect
519. #10587576C23semidirect
520. #10587576C23semidirect
521. #10587576C23semidirect
522. #10587575C23semidirect
523. #10587575C23semidirect
524. #10587575C23semidirect
525. #10587575C23semidirect
526. #10587575C23semidirect
527. #10587575C23semidirect
528. #10587574C23semidirect
529. #10587574C23semidirect
530. #10587574C23semidirect
531. #10587573C23semidirect
532. #10587573C23semidirect
533. #10587573C23semidirect
534. #10587573C23semidirect
535. #10587573C23semidirect
540. #10587572C23semidirect
541. #10587572C23semidirect
542. #10587572C23semidirect
543. #10587572C23semidirect
546. #10587571C23semidirect
547. #10587571C23semidirect
548. #10587571C23semidirect
549. #10587571C23semidirect
550. #10587571C23semidirect
551. #10587571C23semidirect
556. #10587570C23semidirect
557. #10587570C23semidirect
558. #10587570C23semidirect
559. #10587570C23semidirect
560. #10587570C23semidirect
561. #10587570C23semidirect
564. #10587569C23semidirect
565. #10587569C23semidirect
566. #10587569C23semidirect
567. #10587569C23semidirect
568. #10587569C23semidirect
569. #10587569C23semidirect
574. #10587568C23semidirect
575. #10587568C23semidirect
600. #10587567C23semidirect
601. #10587567C23semidirect
602. #10587567C23semidirect
603. #10587567C23semidirect
604. #10587567C23semidirect
605. #10587567C23semidirect
606. #10587567C23semidirect
607. #10587567C23semidirect
608. #10587567C23semidirect
609. #10587567C23semidirect
610. #10587567C23semidirect
611. #10587567C23semidirect
615. C22⋊C4×D17C23semidirect
616. C22⋊C4×D17C23semidirect
617. C22⋊C4×D17C23semidirect
618. C22⋊C4×D17C23semidirect
619. #10587565C23semidirect
620. #10587565C23semidirect
621. #10587565C23semidirect
622. #10587565C23semidirect
623. #10587565C23semidirect
624. #10587565C23semidirect
631. #10587564C23semidirect
632. #10587564C23semidirect
633. #10587564C23semidirect
634. #10587564C23semidirect
635. #10587564C23semidirect
636. #10587564C23semidirect
637. #10587564C23semidirect
638. #10587564C23semidirect
642. #10587563C23semidirect
643. #10587563C23semidirect
644. #10587563C23semidirect
645. #10587563C23semidirect
646. #10587563C23semidirect
647. #10587563C23semidirect
648. #10587562C23semidirect
649. #10587562C23semidirect
650. #10587561C23semidirect
651. C4×D68C23semidirect
652. C4×D68C23semidirect
653. C4×D68C23semidirect
654. #10587558C23semidirect
655. #10587558C23semidirect
656. #10587558C23semidirect
657. #10587558C23semidirect
658. C42×D17C23semidirect
659. C42×D17C23semidirect
660. #10587556C23semidirect
661. C4×Dic34C23semidirect
662. C4×Dic34C23semidirect
663. C4×Dic34C23semidirect
722. C2×C22⋊D17#41semidirect
955. C23×C17C2×#41semidirect
980. C22×D17C2×#41semidirect
1029. C22⋊D17C2×#41semidirect
1056. C2×Dic17C2×#41semidirect
1057. C2×Dic17H(5,𝔽2)semidirect
1107. #3490D17semidirect
1219. #551C2×D17semidirect
1220. #551C2×D17semidirect
1243. #546C2×D17semidirect
1244. #546C2×D17semidirect
1253. #543C2×D17semidirect
1274. #538C2×D17semidirect
1275. #538C2×D17semidirect
1283. #534C2×D17semidirect
1330. #525C2×D17semidirect
1331. #525C2×D17semidirect
1345. C2×#120C2×D17semidirect
1354. #518C2×D17semidirect
1385. C22×C22⋊C4C2×D17semidirect
1488. #126C22×D17semidirect
1489. #126C22×D17semidirect
1512. #124C22×D17semidirect
1513. #124C22×D17semidirect
1549. #123C22×D17semidirect
1550. #123C22×D17semidirect
1551. #123C22×D17semidirect
1588. C22⋊Q8C22×D17semidirect
1589. C22⋊Q8C22×D17semidirect
1634. #121C22×D17semidirect
1635. #121C22×D17semidirect
1657. #120C22×D17semidirect
1740. C4×D4C22×D17semidirect
1741. C4×D4C22×D17semidirect
1765. #117C22×D17semidirect
1814. C2×C22⋊C4C22×D17semidirect
1828. C17#62773semidirect
2141. C23#41×D17semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#145428222
#145428052
#145427172
#145427112
#145426312
#145426222
#145426142
#145425842
#145425452
#145424852
#145424732
#145424672
#145424132
#145423892
#145423872
#145423392
#145422682
#145422032
#145421962
#145421952
#145421902
#145420762
C2×#117633152
D17×#5252
#145419882
C22×#105875672
C17×#34902
#6277317