Finite Group Databasebeta

← #17941982

Subgroups — #17941982

Order 4352.

7280 conjugacy classes of subgroups.

The subgroup lattice has 2452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543368C212yesmaximal, complemented
2#14543360C212yesmaximal, complemented
3#14543345C212yesmaximal, complemented
4#14543333C212yesmaximal, complemented
5#14543326C212yesmaximal, complemented
6#14543311C212yesmaximal, complemented
7#14543302C212yesmaximal, complemented
8#14543296C212yesmaximal, complemented
9#14543244C212yesmaximal, complemented
10#14543216C212yesmaximal, complemented
11#14543145C212yesmaximal, complemented
12#14543110C212yesmaximal, complemented
13#14543021C212yesmaximal, complemented
14#14543001C212yesmaximal, complemented
15#14542971C212yesmaximal, complemented
16#14542963C212yesmaximal, complemented
17#14542922C214yesmaximal, complemented
18#14542386C214yesmaximal, complemented
19#14542381C212yesmaximal, complemented
20#14542270C212yesmaximal, complemented
21#41×C22⋊D17C212yesmaximal, complemented
22#41×C22⋊D17C212yesmaximal, complemented
23#14542202C214yesmaximal, complemented
24#14542191C214yesmaximal, complemented
25#14542174C211yesmaximal, characteristic, complemented
26#14542173C211yesmaximal, characteristic, complemented
27#14542111C211yesmaximal, characteristic, complemented
28#14542079C211yesmaximal, characteristic, complemented
29D17×#532C211yesmaximal, characteristic, complemented
30C2×#11763337C211yesmaximal, characteristic, complemented
31C17×#3449C211yesmaximal, characteristic, complemented
32C2×#41×D17C2212yescomplemented
33C2×#41×D17C2212yescomplemented
34#11763562C2214yescomplemented
35#11763560C2214yescomplemented
36#11763560C2214yescomplemented
37#11763556C2214yescomplemented
38#11763556C2214yescomplemented
39#11763555C2214yescomplemented
40#11763555C2214yescomplemented
41#11763554C2214yescomplemented
42#11763554C2214yescomplemented
43#11763552C2214yescomplemented
44#11763549C2214yescomplemented
45#11763548C2214yescomplemented
46#11763548C2214yescomplemented
47#11763548C2214yescomplemented
48#11763547C2214yescomplemented
49#11763547C2214yescomplemented
50#11763545C2212yescomplemented
51#11763543C2214yescomplemented
52#11763541C2212yescomplemented
53#11763541C2212yescomplemented
54#11763534C2212yescomplemented
55#11763533C2212yescomplemented
56#11763528C2212yescomplemented
57#11763528C2212yescomplemented
58#11763513C2214yescomplemented
59#11763513C2214yescomplemented
60#11763511C2214yescomplemented
61#11763504C2214yescomplemented
62#11763504C2214yescomplemented
63#11763502C2214yescomplemented
64#11763502C2214yescomplemented
65#11763502C2214yescomplemented
66#11763502C2214yescomplemented
67#11763490C2214yescomplemented
68#11763487C2214yescomplemented
69#11763486C2214yescomplemented
70#11763486C2214yescomplemented
71#11763479C2212yescomplemented
72#11763479C2212yescomplemented
73#11763478C2212yescomplemented
74#11763478C2212yescomplemented
75#11763474C2212yescomplemented
76Q8×C22⋊D17C2212yescomplemented
77Q8×C22⋊D17C2212yescomplemented
78#11763470C2212yescomplemented
79#11763470C2212yescomplemented
80#11763467C2212yescomplemented
81#11763467C2212yescomplemented
82#11763466C2212yescomplemented
83#11763466C2212yescomplemented
84#11763465C2214yescomplemented
85#11763462C2212yescomplemented
86#11763459C2214yescomplemented
87#11763458C2212yescomplemented
88#11763458C2212yescomplemented
89#11763458C2214yescomplemented
90#11763458C2214yescomplemented
91#11763453C2212yescomplemented
92#11763453C2212yescomplemented
93#11763453C2214yescomplemented
94#11763453C2214yescomplemented
95#11763452C2212yescomplemented
96#11763452C2212yescomplemented
97#11763448C2214yescomplemented
98#11763448C2214yescomplemented
99#11763448C2214yescomplemented
100#11763448C2214yescomplemented
101#11763447C2212yescomplemented
102#11763447C2212yescomplemented
103#11763447C2214yescomplemented
104#11763447C2214yescomplemented
105#11763446C2214yescomplemented
106#11763446C2214yescomplemented
107#11763444C2212yescomplemented
108#11763443C2214yescomplemented
109D4×C22⋊D17C2212yescomplemented
110D4×C22⋊D17C2212yescomplemented
111D4×C22⋊D17C2214yescomplemented
112D4×C22⋊D17C2214yescomplemented
113#11763441C2214yescomplemented
114#11763438C2214yescomplemented
115#11763434C2214yescomplemented
116#11763430C2212yescomplemented
117#11763430C2212yescomplemented
118#11763429C2214yescomplemented
119#11763429C2214yescomplemented
120#11763428C2212yescomplemented
121#11763428C2212yescomplemented
122#11763427C2214yescomplemented
123#11763427C2214yescomplemented
124#11763421C2212yescomplemented
125#11763420C2212yescomplemented
126#11763414C2212yescomplemented
127#11763413C2212yescomplemented
128#11763411C2214yescomplemented
129#11763411C2214yescomplemented
130#11763409C2214yescomplemented
131#11763409C2214yescomplemented
132#11763408C2214yescomplemented
133#11763406C2212yescomplemented
134#11763406C2212yescomplemented
135#11763405C2214yescomplemented
136#11763405C2214yescomplemented
137#11763404C2214yescomplemented
138#11763404C2212yescomplemented
139#11763404C2212yescomplemented
140#11763402C2214yescomplemented
141#11763402C2214yescomplemented
142#11763399C2214yescomplemented
143#11763397C2212yescomplemented
144#11763397C2212yescomplemented
145#11763396C2212yescomplemented
146#11763396C2212yescomplemented
147#11763396C2214yescomplemented
148#11763395C2214yescomplemented
149#11763395C2214yescomplemented
150#11763394C2214yescomplemented
151#11763394C2214yescomplemented
152#11763394C2214yescomplemented
153#11763394C2214yescomplemented
154#11763391C2214yescomplemented
155#11763391C2214yescomplemented
156#11763386C2212yescomplemented
157#11763386C2212yescomplemented
158#11763386C2214yescomplemented
159#11763384C2212yescomplemented
160#11763379C2212yescomplemented
161#11763377C2212yescomplemented
162#11763374C2214yescomplemented
163#11763374C2214yescomplemented
164#11763372C2212yescomplemented
165#11763369C2214yescomplemented
166#11763369C2214yescomplemented
167#11763367C2214yescomplemented
168#11763367C2212yescomplemented
169#11763367C2212yescomplemented
170#11763366C2211yescharacteristic, complemented
171#11763364C2211yescharacteristic, complemented
172#11763364C2211yescharacteristic, complemented
173#11763360C2211yescharacteristic, complemented
174#11763359C2211yescharacteristic, complemented
175#11763358C2212yescomplemented
176#11763357C2211yescharacteristic, complemented
177#11763357C2211yescharacteristic, complemented
178#11763357C2211yescharacteristic, complemented
179#11763356C2212yescomplemented
180#11763356C2214yescomplemented
181#11763356C2212yescomplemented
182#11763355C2212yescomplemented
183#11763355C2212yescomplemented
184#11763355C2214yescomplemented
185#11763355C2214yescomplemented
186#11763354C2212yescomplemented
187#11763354C2212yescomplemented
188C4⋊Q8×D17C2211yescharacteristic, complemented
189#127×D17C2211yescharacteristic, complemented
190#11763341C2214yescomplemented
191#11763341C2212yescomplemented
192#11763341C2212yescomplemented
193#11763340C2212yescomplemented
194#11763340C2212yescomplemented
195#11763339C2214yescomplemented
196#11763339C2214yescomplemented
197#11763339C2214yescomplemented
198#11763339C2214yescomplemented
199#11763338C2212yescomplemented
200#11763338C2212yescomplemented
201#11763337C2212yescomplemented
202#11763337C2212yescomplemented
203#11763337C2212yescomplemented
204#11763337C2212yescomplemented
205#11763337C2214yescomplemented
206#11763337C2212yescomplemented
207#11763337C2214yescomplemented
208#11763337C2212yescomplemented
209#11763337C2212yescomplemented
210#11763337C2212yescomplemented
211C2×#10587584C2211yescharacteristic, complemented
212C2×#10587565C2211yescharacteristic, complemented
213C2×#10587575C2211yescharacteristic, complemented
214C2×#10587571C2211yescharacteristic, complemented
215#124×D17C2212yescomplemented
216#11763320C2214yescomplemented
217#11763320C2214yescomplemented
218#11763320C2212yescomplemented
219#11763319C2212yescomplemented
220#11763319C2212yescomplemented
221#11763318C2214yescomplemented
222#11763318C2214yescomplemented
223#11763318C2214yescomplemented
224#11763318C2214yescomplemented
225#11763316C2214yescomplemented
226#11763316C2214yescomplemented
227#11763316C2212yescomplemented
228#11763316C2212yescomplemented
229C2×#10587580C2211yescharacteristic, complemented
230C2×#10587569C2211yescharacteristic, complemented
231C2×#10587582C2211yescharacteristic, complemented
232C2×#10587570C2211yescharacteristic
233#121×D17C2212yescomplemented
234#121×D17C2212yescomplemented
235#41×Dic17C2212yescomplemented
236#41×Dic17C2212yescomplemented
237C4×#63252C2212yescomplemented
238C4×#63254C2214yescomplemented
239C4×#63254C2212yescomplemented
240C4×#63254C2212yescomplemented
241C2×C4×Dic34C2211yescharacteristic, complemented
242C2×C4×D68C2211yescharacteristic, complemented
243C2×C4×C22⋊D17C2214yescomplemented
244C2×C4×C22⋊D17C2214yescomplemented
245C2×C4×C22⋊D17C2211yescharacteristic, complemented
246C2×C4×C22⋊D17C2211yescharacteristic, complemented
247C4×D4×D17C2212yescomplemented
248C4×D4×D17C2214yescomplemented
249C4×D4×D17C2212yescomplemented
250C2×#10587558C2211yescharacteristic, complemented
251C2×C42×D17C2211yescharacteristic, complemented
252C22×#41×C17C2212yescomplemented
253C17×#537C2212yescomplemented
254C17×#537C2212yescomplemented
255C17×#536C2212yescomplemented
256C17×#536C2212yescomplemented
257C17×#535C2212yescomplemented
258C17×#535C2212yescomplemented
259C17×#534C2212yescomplemented
260C17×#534C2212yescomplemented
261C17×#532C2211yescharacteristic, complemented
262C17×#532C2212yescomplemented
263C17×#532C2211yescharacteristic, complemented
264C17×#525C2214yescomplemented
265C17×#525C2214yescomplemented
266C2×C17×#117C2211yescharacteristic, complemented
267C2×#41×C17—48no—
268C2×#41×C17C2312yes—
269C2×#41×C17C2312yes—
270C2×#41×C17C2314yes—
271C2×#41×C17C2312yes—
272C2×#41×C17C2312yes—
273C2×#41×C17C2314yes—
274C22×Q8×C17C2312yes—
275C22×D4×C17C2314yes—
276C22×D4×C17C2312yes—
277C23×C4×C17C2311yescharacteristic
278C23×C4×C17C2314yes—
279C22×C22⋊D17C2311yescharacteristic
280C22×C22⋊D17C2311yescharacteristic
281C22×C22⋊D17C2314yes—
282C22×C22⋊D17C2314yes—
283#41×D17—48no—
284#41×D17—48no—
285C2×#63256C2312yes—
286C2×#63256C2312yes—
287C2×Q8×D17C2312yes—
288C2×Q8×D17C2312yes—
289C2×#63254C2314yes—
290C2×#63254C2314yes—
291C2×#63254C2312yes—
292C2×#63254C2312yes—
293C2×#63254C2314yes—
294C2×#63254C2312yes—
295C2×#63254C2312yes—
296C2×D4×D17C2312yes—
297C2×D4×D17C2312yes—
298C2×D4×D17C2314yes—
299C2×D4×D17C2314yes—
300C2×D4×D17C2312yes—
301C2×D4×D17C2314yes—
302C2×D4×D17C2312yes—
303C2×#63252C2312yes—
304C2×#63252C2314yes—
305C2×#63252C2314yes—
306C22×D68C2311yescharacteristic
307C22×C4×D17C2311yescharacteristic
308C22×C4×D17C2311yescharacteristic
309C22×C4×D17C2311yescharacteristic
310C22×C4×D17C2311yescharacteristic
311C22×C4×D17C2314yes—
312C22×C4×D17C2314yes—
313C22×Dic34C2311yescharacteristic
314C17×C4⋊Q8C2312yes—
315C17×C4⋊Q8C2311yescharacteristic
316C17×C4⋊Q8C2311yescharacteristic
317C17×#127C2312yes—
318C17×#127C2311yescharacteristic
319C17×#127C2311yescharacteristic
320C17×#124C2312yes—
321C17×#124C2312yes—
322C17×#124C2312yes—
323C17×#124C2312yes—
324C17×#123C2314yes—
325C17×#123C2314yes—
326C17×#123C2314yes—
327C17×#123C2314yes—
328C17×C22⋊Q8C2314yes—
329C17×C22⋊Q8C2314yes—
330C17×C22⋊Q8C2314yes—
331C17×C22⋊Q8C2314yes—
332C17×#121C2314yes—
333C17×#121C2314yes—
334C17×#121C2314yes—
335C17×#121C2314yes—
336C17×#121C2314yes—
337C17×#121C2314yes—
338C17×#121C2312yes—
339C17×#121C2312yes—
340C17×#121C2312yes—
341C17×#121C2312yes—
342C17×#120C2314yes—
343C17×#120C2314yes—
344C17×#120C2314yes—
345C17×#120C2314yes—
346C4×D4×C17C2312yes—
347C4×D4×C17C2314yes—
348C4×D4×C17C2312yes—
349C4×D4×C17C2312yes—
350C4×D4×C17C2314yes—
351C4×D4×C17C2312yes—
352C17×#117C2312yes—
353C17×#117C2312yes—
354C17×#117C2312yes—
355C17×#117C2312yes—
356C2×C4⋊C4×C17C2311yescharacteristic
357C2×C4⋊C4×C17C2311yescharacteristic
358C2×C22⋊C4×C17C2311yescharacteristic
359C2×C22⋊C4×C17C2311yescharacteristic
360C2×C42×C17C2311yescharacteristic
361C2×C42×C17C2311yescharacteristic
362#10587639C2314yes—
363#10587639C2314yes—
364#10587639C2314yes—
365#10587639C2314yes—
366#10587639C2314yes—
367C2×C22⋊Dic17C2314yes—
368C2×C22⋊Dic17C2314yes—
369C2×C22⋊Dic17C2311yescharacteristic
370C2×C22⋊Dic17C2311yescharacteristic
371#10587633C2314yes—
372#10587633C2312yes—
373#10587633C2312yes—
374#10587633C2314yes—
375#10587632C2312yes—
376#10587632C2312yes—
377#10587632C2314yes—
378#10587632C2314yes—
379#10587632C2312yes—
380#10587632C2312yes—
381#10587632C2314yes—
382#10587632C2314yes—
383Q8×Dic17C2312yes—
384Q8×Dic17C2312yes—
385Q8×Dic17C2312yes—
386Q8×Dic17C2312yes—
387#10587630C2314yes—
388#10587630C2312yes—
389#10587630C2312yes—
390#10587630C2314yes—
391#10587626C2312yes—
392#10587626C2312yes—
393#10587626C2314yes—
394#10587626C2314yes—
395#10587626C2314yes—
396#10587626C2312yes—
397#10587626C2312yes—
398#10587625C2314yes—
399#10587625C2314yes—
400#10587625C2314yes—
401#10587625C2314yes—
402#10587625C2314yes—
403#10587625C2314yes—
404#10587625C2314yes—
405#10587625C2314yes—
406#10587625C2314yes—
407#10587625C2314yes—
408#10587625C2314yes—
409#10587625C2314yes—
410#10587625C2314yes—
411#10587625C2314yes—
412#10587625C2314yes—
413#10587625C2314yes—
414#10587625C2314yes—
415#10587625C2314yes—
416#10587625C2314yes—
417#10587625C2314yes—
418#10587624C2314yes—
419#10587624C2312yes—
420#10587624C2312yes—
421#10587624C2314yes—
422#10587624C2314yes—
423#10587624C2312yes—
424#10587624C2312yes—
425#10587624C2314yes—
426#10587624C2314yes—
427#10587624C2314yes—
428#10587624C2312yes—
429#10587624C2312yes—
430#10587624C2312yes—
431#10587624C2312yes—
432#10587623C2314yes—
433#10587623C2314yes—
434#10587623C2314yes—
435#10587623C2314yes—
436#10587623C2314yes—
437#10587623C2314yes—
438#10587623C2314yes—
439#10587623C2314yes—
440#10587623C2314yes—
441#10587623C2314yes—
442#10587622C2314yes—
443#10587622C2314yes—
444#10587622C2312yes—
445#10587622C2312yes—
446#10587622C2314yes—
447#10587622C2312yes—
448#10587622C2312yes—
449#10587621C2314yes—
450#10587621C2314yes—
451#10587621C2314yes—
452#10587621C2314yes—
453#10587621C2314yes—
454#10587621C2314yes—
455#10587621C2314yes—
456#10587621C2314yes—
457#10587621C2314yes—
458#10587621C2314yes—
459D4×Dic17C2314yes—
460D4×Dic17C2312yes—
461D4×Dic17C2314yes—
462D4×Dic17C2312yes—
463D4×Dic17C2314yes—
464D4×Dic17C2314yes—
465D4×Dic17C2312yes—
466D4×Dic17C2312yes—
467D4×Dic17C2312yes—
468D4×Dic17C2314yes—
469D4×Dic17C2314yes—
470D4×Dic17C2312yes—
471D4×Dic17C2312yes—
472D4×Dic17C2312yes—
473#10587616C2312yes—
474#10587616C2312yes—
475#10587616C2314yes—
476#10587616C2314yes—
477#10587616C2314yes—
478#10587616C2314yes—
479#10587616C2312yes—
480#10587616C2312yes—
481#10587615C2314yes—
482#10587615C2314yes—
483#10587615C2314yes—
484#10587615C2314yes—
485#10587615C2314yes—
486C4×C22⋊D17C2312yes—
487C4×C22⋊D17C2312yes—
488C4×C22⋊D17C2314yes—
489C4×C22⋊D17C2314yes—
490C4×C22⋊D17C2314yes—
491C4×C22⋊D17C2314yes—
492C4×C22⋊D17C2312yes—
493C4×C22⋊D17C2312yes—
494C4×C22⋊D17C2314yes—
495C4×C22⋊D17C2314yes—
496C4×C22⋊D17C2314yes—
497C4×C22⋊D17C2314yes—
498C4×C22⋊D17C2314yes—
499C4×C22⋊D17C2314yes—
500C4×C22⋊D17C2314yes—
501C4×C22⋊D17C2314yes—
502C4×C22⋊D17C2314yes—
503C4×C22⋊D17C2314yes—
504C4×C22⋊D17C2312yes—
505C4×C22⋊D17C2312yes—
506C4×C22⋊D17C2314yes—
507C4×C22⋊D17C2312yes—
508C4×C22⋊D17C2314yes—
509C4×C22⋊D17C2314yes—
510C4×C22⋊D17C2314yes—
511C4×C22⋊D17C2312yes—
512C4×C22⋊D17C2314yes—
513C4×C22⋊D17C2314yes—
514C2×#63227C2314yes—
515C2×#63227C2314yes—
516C2×#63227C2311yescharacteristic
517C2×#63227C2311yescharacteristic
518C2×#63227C2311yescharacteristic
519C2×#63227C2311yescharacteristic
520C2×#63227C2311yescharacteristic
521C2×#63227C2311yescharacteristic
522#10587612C2312yes—
523#10587612C2314yes—
524#10587612C2314yes—
525C2×C4⋊Dic17C2311yescharacteristic
526C2×C4⋊Dic17C2311yescharacteristic
527#10587610C2312yes—
528#10587610C2312yes—
529#10587610C2314yes—
530#10587610C2314yes—
531#10587610C2314yes—
532#10587610C2314yes—
533#10587610C2312yes—
534#10587610C2312yes—
535C2×#63225C2311yescharacteristic
536C2×#63225C2311yescharacteristic
537C2×#63225C2314yes—
538C2×#63225C2314yes—
539C2×#63225C2311yescharacteristic
540C2×#63225C2311yescharacteristic
541C2×#63225C2311yescharacteristic
542C2×#63225C2311yescharacteristic
543C2×C4×Dic17C2311yescharacteristic
544C2×C4×Dic17C2311yescharacteristic
545C2×C4×Dic17C2311yescharacteristic
546C2×C4×Dic17C2311yescharacteristic
547C2×C4×Dic17C2314yes—
548C2×C4×Dic17C2314yes—
549#10587584C2312yes—
550#10587584C2314yes—
551#10587584C2314yes—
552#10587584C2314yes—
553#10587584C2314yes—
554#10587584C2312yes—
555#10587584C2312yes—
556#10587584C2312yes—
557#10587584C2314yes—
558#10587584C2314yes—
559#10587583C2314yes—
560#10587583C2312yes—
561#10587583C2312yes—
562#10587582C2314yes—
563#10587582C2314yes—
564#10587582C2314yes—
565#10587582C2312yes—
566#10587582C2314yes—
567#10587582C2312yes—
568#10587582C2312yes—
569#10587582C2312yes—
570#10587582C2314yes—
571#10587582C2314yes—
572#10587581C2314yes—
573#10587581C2312yes—
574#10587581C2312yes—
575#10587580C2314yes—
576#10587580C2314yes—
577#10587580C2312yes—
578#10587580C2314yes—
579#10587580C2314yes—
580#10587580C2312yes—
581#10587580C2312yes—
582#10587580C2312yes—
583#10587580C2314yes—
584#10587580C2314yes—
585#10587579C2314yes—
586#10587579C2312yes—
587#10587579C2312yes—
588#10587578C2312yes—
589#10587578C2314yes—
590#10587578C2312yes—
591C4⋊C4×D17C2314yes—
592C4⋊C4×D17C2312yes—
593C4⋊C4×D17C2312yes—
594#10587576C2314yes—
595#10587576C2312yes—
596#10587576C2312yes—
597#10587575C2312yes—
598#10587575C2314yes—
599#10587575C2314yes—
600#10587575C2314yes—
601#10587575C2314yes—
602#10587575C2312yes—
603#10587575C2312yes—
604#10587575C2312yes—
605#10587575C2314yes—
606#10587575C2314yes—
607#10587574C2314yes—
608#10587574C2312yes—
609#10587574C2312yes—
610#10587573C2314yes—
611#10587573C2312yes—
612#10587573C2312yes—
613#10587572C2314yes—
614#10587572C2314yes—
615#10587572C2314yes—
616#10587572C2314yes—
617#10587571C2314yes—
618#10587571C2314yes—
619#10587571C2314yes—
620#10587571C2314yes—
621#10587571C2312yes—
622#10587571C2314yes—
623#10587571C2314yes—
624#10587571C2312yes—
625#10587571C2314yes—
626#10587571C2314yes—
627#10587571C2312yes—
628#10587571C2312yes—
629#10587571C2314yes—
630#10587571C2314yes—
631#10587570C2314yes—
632#10587570C2314yes—
633#10587570C2312yes—
634#10587570C2314yes—
635#10587570C2314yes—
636#10587570C2314yes—
637#10587570C2314yes—
638#10587570C2312yes—
639#10587570C2314yes—
640#10587570C2314yes—
641#10587570C2312yes—
642#10587570C2312yes—
643#10587570C2314yes—
644#10587570C2314yes—
645#10587569C2314yes—
646#10587569C2314yes—
647#10587569C2312yes—
648#10587569C2314yes—
649#10587569C2314yes—
650#10587569C2314yes—
651#10587569C2314yes—
652#10587569C2312yes—
653#10587569C2314yes—
654#10587569C2312yes—
655#10587569C2312yes—
656#10587569C2314yes—
657#10587569C2314yes—
658#10587569C2314yes—
659#10587568C2314yes—
660#10587568C2314yes—
661#10587568C2314yes—
662#10587568C2314yes—
663#10587567C2314yes—
664#10587567C2314yes—
665#10587567C2314yes—
666#10587567C2314yes—
667#10587567C2314yes—
668#10587567C2314yes—
669#10587567C2314yes—
670#10587567C2314yes—
671C22⋊C4×D17C2314yes—
672C22⋊C4×D17C2314yes—
673C22⋊C4×D17C2314yes—
674C22⋊C4×D17C2314yes—
675#10587565C2314yes—
676#10587565C2314yes—
677#10587565C2312yes—
678#10587565C2314yes—
679#10587565C2314yes—
680#10587565C2314yes—
681#10587565C2314yes—
682#10587565C2314yes—
683#10587565C2312yes—
684#10587565C2312yes—
685#10587565C2312yes—
686#10587565C2314yes—
687#10587565C2314yes—
688#10587565C2314yes—
689#10587564C2314yes—
690#10587564C2314yes—
691#10587564C2314yes—
692#10587564C2314yes—
693#10587564C2314yes—
694#10587564C2314yes—
695#10587564C2314yes—
696#10587564C2314yes—
697#10587563C2314yes—
698#10587563C2314yes—
699#10587563C2314yes—
700#10587563C2314yes—
701#10587561C2312yes—
702#10587560C2311yescharacteristic
703C4×D68C2312yes—
704C4×D68C2312yes—
705C4×D68C2312yes—
706C4×D68C2312yes—
707C4×D68C2312yes—
708C4×D68C2312yes—
709C4×D68C2312yes—
710C4×D68C2312yes—
711#10587558C2312yes—
712#10587558C2312yes—
713#10587558C2312yes—
714#10587558C2312yes—
715#10587558C2314yes—
716C42×D17C2311yescharacteristic
717C42×D17C2311yescharacteristic
718C42×D17C2311yescharacteristic
719C42×D17C2311yescharacteristic
720C42×D17C2311yescharacteristic
721C42×D17C2311yescharacteristic
722C42×D17C2311yescharacteristic
723C42×D17C2311yescharacteristic
724C42×D17C2314yes—
725#10587556C2312yes—
726#10587555C2311yescharacteristic
727#10587555C2311yescharacteristic
728#10587555C2311yescharacteristic
729C4×Dic34C2312yes—
730C4×Dic34C2312yes—
731C4×Dic34C2312yes—
732C4×Dic34C2312yes—
733C4×Dic34C2312yes—
734C4×Dic34C2312yes—
735C4×Dic34C2312yes—
736C4×Dic34C2312yes—
737C24×C17C2411yescharacteristic
738C24×C17C2414yes—
739C23×D17C2411yescharacteristic
740C23×D17C2411yescharacteristic
741C23×D17C2414yes—
742C23×D17C2414yes—
743#41×C17—28no—
744#41×C17—28no—
745#41×C17—48no—
746#41×C17—48no—
747#41×C17—44no—
748#41×C17—44no—
749C2×Q8×C17—44no—
750C2×Q8×C17C2412yes—
751C2×Q8×C17C2412yes—
752C2×Q8×C17C2414yes—
753C2×D4×C17—44no—
754C2×D4×C17—48no—
755C2×D4×C17C2412yes—
756C2×D4×C17C2412yes—
757C2×D4×C17C2414yes—
758C2×D4×C17C2414yes—
759C2×D4×C17C2414yes—
760C2×D4×C17C2414yes—
761C2×D4×C17C2414yes—
762C2×D4×C17C2412yes—
763C2×D4×C17C2412yes—
764C2×D4×C17C2414yes—
765C2×D4×C17C2412yes—
766C2×D4×C17C2412yes—
767C2×D4×C17C2414yes—
768C22×C4×C17—24no—
769C22×C4×C17—48no—
770C22×C4×C17C2414yes—
771C22×C4×C17C2414yes—
772C22×C4×C17C2412yes—
773C22×C4×C17C2412yes—
774C22×C4×C17C2411yescharacteristic
775C22×C4×C17C2414yes—
776C22×C4×C17C2414yes—
777C22×C4×C17C2414yes—
778C22×C4×C17C2411yescharacteristic
779C22×C4×C17C2411yescharacteristic
780C22×C4×C17C2411yescharacteristic
781C22×C4×C17C2411yescharacteristic
782C22×C4×C17C2411yescharacteristic
783C2×C22⋊D17—42no—
784C2×C22⋊D17—48no—
785C2×C22⋊D17—48no—
786C2×C22⋊D17—42no—
787C2×C22⋊D17C2414yes—
788C2×C22⋊D17C2414yes—
789C2×C22⋊D17C2414yes—
790C2×C22⋊D17C2412yes—
791C2×C22⋊D17C2412yes—
792C2×C22⋊D17C2414yes—
793C2×C22⋊D17C2414yes—
794C2×C22⋊D17C2414yes—
795C2×C22⋊D17C2414yes—
796C2×C22⋊D17C2414yes—
797C2×C22⋊D17C2414yes—
798C2×C22⋊D17C2414yes—
799C2×C22⋊D17C2414yes—
800C2×C22⋊D17C2414yes—
801C2×C22⋊D17C2414yes—
802C2×C22⋊D17C2412yes—
803C2×C22⋊D17C2414yes—
804C2×C22⋊D17C2414yes—
805C2×C22⋊D17C2412yes—
806C22×Dic17C2411yescharacteristic
807C22×Dic17C2411yescharacteristic
808C22×Dic17C2411yescharacteristic
809C22×Dic17C2414yes—
810C22×Dic17C2411yescharacteristic
811C22×Dic17C2414yes—
812C22×Dic17C2414yes—
813C22×Dic17C2411yescharacteristic
814C22×Dic17C2414yes—
815C22×Dic17C2414yes—
816C22×Dic17C2414yes—
817C22×Dic17C2411yescharacteristic
818#63256—44no—
819#63256—44no—
820Q8×D17—44no—
821Q8×D17—44no—
822#63254—44no—
823#63254—44no—
824#63254—48no—
825#63254—44no—
826#63254—44no—
827#63254—48no—
828#63254—48no—
829D4×D17—44no—
830D4×D17—44no—
831D4×D17—44no—
832D4×D17—44no—
833D4×D17—48no—
834D4×D17—48no—
835D4×D17—48no—
836#63252—28no—
837#63252—48no—
838#63252—48no—
839C2×D68—42no—
840C2×D68C2412yes—
841C2×D68C2412yes—
842C2×D68C2412yes—
843C2×D68C2414yes—
844C2×D68C2414yes—
845C2×D68C2412yes—
846C2×D68C2412yes—
847C2×C4×D17—24no—
848C2×C4×D17—24no—
849C2×C4×D17—42no—
850C2×C4×D17—48no—
851C2×C4×D17—48no—
852C2×C4×D17—42no—
853C2×C4×D17C2411yescharacteristic
854C2×C4×D17C2412yes—
855C2×C4×D17C2414yes—
856C2×C4×D17C2411yescharacteristic
857C2×C4×D17C2411yescharacteristic
858C2×C4×D17C2411yescharacteristic
859C2×C4×D17C2411yescharacteristic
860C2×C4×D17C2412yes—
861C2×C4×D17C2411yescharacteristic
862C2×C4×D17C2411yescharacteristic
863C2×C4×D17C2411yescharacteristic
864C2×C4×D17C2414yes—
865C2×C4×D17C2414yes—
866C2×C4×D17C2414yes—
867C2×C4×D17C2414yes—
868C2×C4×D17C2411yescharacteristic
869C2×C4×D17C2411yescharacteristic
870C2×C4×D17C2411yescharacteristic
871C2×C4×D17C2411yescharacteristic
872C2×C4×D17C2414yes—
873C2×C4×D17C2414yes—
874C2×Dic34—42no—
875C2×Dic34C2412yes—
876C2×Dic34C2412yes—
877C2×Dic34C2412yes—
878C2×Dic34C2414yes—
879C2×Dic34C2414yes—
880C2×Dic34C2412yes—
881C2×Dic34C2412yes—
882C4⋊C4×C17C2412yes—
883C4⋊C4×C17C2414yes—
884C4⋊C4×C17C2412yes—
885C4⋊C4×C17C2412yes—
886C4⋊C4×C17C2414yes—
887C4⋊C4×C17C2412yes—
888C4⋊C4×C17C2412yes—
889C4⋊C4×C17C2412yes—
890C4⋊C4×C17C2412yes—
891C4⋊C4×C17C2412yes—
892C22⋊C4×C17C2414yes—
893C22⋊C4×C17C2414yes—
894C22⋊C4×C17C2414yes—
895C22⋊C4×C17C2414yes—
896C22⋊C4×C17C2414yes—
897C22⋊C4×C17C2414yes—
898C22⋊C4×C17C2414yes—
899C22⋊C4×C17C2414yes—
900C22⋊C4×C17C2412yes—
901C22⋊C4×C17C2412yes—
902C22⋊C4×C17C2412yes—
903C22⋊C4×C17C2412yes—
904C42×C17C2412yes—
905C42×C17C2411yescharacteristic
906C42×C17C2411yescharacteristic
907C42×C17C2412yes—
908C42×C17C2411yescharacteristic
909C42×C17C2411yescharacteristic
910C22⋊Dic17C2414yes—
911C22⋊Dic17C2414yes—
912C22⋊Dic17C2414yes—
913C22⋊Dic17C2414yes—
914C22⋊Dic17C2414yes—
915C22⋊Dic17C2414yes—
916C22⋊Dic17C2414yes—
917C22⋊Dic17C2414yes—
918C22⋊Dic17C2414yes—
919C22⋊Dic17C2414yes—
920C22⋊Dic17C2412yes—
921C22⋊Dic17C2412yes—
922C22⋊Dic17C2414yes—
923C22⋊Dic17C2414yes—
924C22⋊Dic17C2412yes—
925C22⋊Dic17C2412yes—
926C22⋊Dic17C2414yes—
927C22⋊Dic17C2414yes—
928C22⋊Dic17C2414yes—
929#63227C2412yes—
930#63227C2412yes—
931#63227C2412yes—
932#63227C2412yes—
933#63227C2414yes—
934#63227C2414yes—
935#63227C2412yes—
936#63227C2412yes—
937#63227C2412yes—
938#63227C2412yes—
939#63227C2414yes—
940#63227C2414yes—
941#63227C2414yes—
942#63227C2414yes—
943#63227C2414yes—
944#63227C2414yes—
945#63227C2414yes—
946#63227C2414yes—
947#63227C2414yes—
948#63227C2414yes—
949#63227C2412yes—
950#63227C2412yes—
951#63227C2414yes—
952#63227C2414yes—
953#63227C2412yes—
954#63227C2412yes—
955C4⋊Dic17C2412yes—
956C4⋊Dic17C2412yes—
957C4⋊Dic17C2412yes—
958C4⋊Dic17C2412yes—
959C4⋊Dic17C2412yes—
960C4⋊Dic17C2412yes—
961C4⋊Dic17C2412yes—
962C4⋊Dic17C2412yes—
963C4⋊Dic17C2412yes—
964C4⋊Dic17C2412yes—
965C4⋊Dic17C2414yes—
966C4⋊Dic17C2414yes—
967C4⋊Dic17C2414yes—
968C4⋊Dic17C2414yes—
969#63225C2412yes—
970#63225C2412yes—
971#63225C2412yes—
972#63225C2412yes—
973#63225C2414yes—
974#63225C2414yes—
975#63225C2414yes—
976#63225C2414yes—
977#63225C2412yes—
978#63225C2412yes—
979#63225C2412yes—
980#63225C2412yes—
981#63225C2414yes—
982#63225C2414yes—
983#63225C2414yes—
984#63225C2414yes—
985#63225C2414yes—
986#63225C2414yes—
987#63225C2414yes—
988#63225C2414yes—
989#63225C2412yes—
990#63225C2412yes—
991#63225C2414yes—
992#63225C2414yes—
993#63225C2412yes—
994#63225C2412yes—
995C4×Dic17C2411yescharacteristic
996C4×Dic17C2411yescharacteristic
997C4×Dic17C2411yescharacteristic
998C4×Dic17C2411yescharacteristic
999C4×Dic17C2414yes—
1000C4×Dic17C2412yes—
1001C4×Dic17C2412yes—
1002C4×Dic17C2414yes—
1003C4×Dic17C2414yes—
1004C4×Dic17C2411yescharacteristic
1005C4×Dic17C2411yescharacteristic
1006C4×Dic17C2411yescharacteristic
1007C4×Dic17C2411yescharacteristic
1008C4×Dic17C2411yescharacteristic
1009C4×Dic17C2411yescharacteristic
1010C4×Dic17C2411yescharacteristic
1011C4×Dic17C2411yescharacteristic
1012C4×Dic17C2414yes—
1013C4×Dic17C2414yes—
1014C4×Dic17C2414yes—
1015C4×Dic17C2414yes—
1016#62748—171nomaximal, Sylow
1017C23×C17—22no—
1018C23×C17—41no—
1019C23×C17—41no—
1020C23×C17—44no—
1021C23×C17—44no—
1022C23×C17—44no—
1023C23×C17C2512yes—
1024C23×C17C2514yes—
1025C23×C17C2514yes—
1026C23×C17C2511yescharacteristic
1027C22×D17—22no—
1028C22×D17—22no—
1029C22×D17—22no—
1030C22×D17—28no—
1031C22×D17—41no—
1032C22×D17—44no—
1033C22×D17—44no—
1034C22×D17—41no—
1035C22×D17—44no—
1036C22×D17—44no—
1037C22×D17—44no—
1038C22×D17—41no—
1039C22×D17C2511yescharacteristic
1040C22×D17C2514yes—
1041C22×D17C2512yes—
1042C22×D17C2511yescharacteristic
1043Q8×C17—24no—
1044Q8×C17—24no—
1045Q8×C17—44no—
1046D4×C17—28no—
1047D4×C17—28no—
1048D4×C17—24no—
1049D4×C17—24no—
1050D4×C17—42no—
1051D4×C17—42no—
1052D4×C17—44no—
1053D4×C17—44no—
1054D4×C17—42no—
1055D4×C17—42no—
1056D4×C17—44no—
1057D4×C17—44no—
1058D4×C17—44no—
1059C2×C4×C17—22no—
1060C2×C4×C17—28no—
1061C2×C4×C17—28no—
1062C2×C4×C17—24no—
1063C2×C4×C17—24no—
1064C2×C4×C17—41no—
1065C2×C4×C17—41no—
1066C2×C4×C17—41no—
1067C2×C4×C17—41no—
1068C2×C4×C17—44no—
1069C2×C4×C17—44no—
1070C2×C4×C17—44no—
1071C2×C4×C17H(5,𝔽2)14yes—
1072C2×C4×C17C2512yes—
1073C2×C4×C17C2511yescharacteristic
1074C2×C4×C17C2511yescharacteristic
1075C2×C4×C17C2511yescharacteristic
1076C2×C4×C17C2511yescharacteristic
1077C2×C4×C17C2512yes—
1078C2×C4×C17C2514yes—
1079C2×C4×C17C2514yes—
1080C2×C4×C17C2512yes—
1081C2×C4×C17C2511yescharacteristic
1082C2×C4×C17C2511yescharacteristic
1083C22⋊D17—28no—
1084C22⋊D17—28no—
1085C22⋊D17—24no—
1086C22⋊D17—28no—
1087C22⋊D17—24no—
1088C22⋊D17—44no—
1089C22⋊D17—44no—
1090C22⋊D17—44no—
1091C22⋊D17—44no—
1092C22⋊D17—44no—
1093C22⋊D17—44no—
1094C22⋊D17—44no—
1095C22⋊D17—44no—
1096C22⋊D17—42no—
1097C22⋊D17—44no—
1098C22⋊D17—44no—
1099C22⋊D17—44no—
1100C22⋊D17—42no—
1101C22⋊D17—44no—
1102C2×Dic17—22no—
1103C2×Dic17—22no—
1104C2×Dic17—22no—
1105C2×Dic17—28no—
1106C2×Dic17—41no—
1107C2×Dic17—44no—
1108C2×Dic17—44no—
1109C2×Dic17—41no—
1110C2×Dic17—44no—
1111C2×Dic17—44no—
1112C2×Dic17—44no—
1113C2×Dic17—41no—
1114C2×Dic17C2511yescharacteristic
1115C2×Dic17C2511yescharacteristic
1116C2×Dic17C2514yes—
1117C2×Dic17C2512yes—
1118C2×Dic17C2512yes—
1119C2×Dic17C2514yes—
1120C2×Dic17C2514yes—
1121C2×Dic17C2511yescharacteristic
1122C2×Dic17C2511yescharacteristic
1123C2×Dic17C2511yescharacteristic
1124C2×Dic17C2512yes—
1125C2×Dic17C2511yescharacteristic
1126D68—24no—
1127D68—24no—
1128D68—42no—
1129D68—44no—
1130D68—44no—
1131D68—42no—
1132D68—42no—
1133C4×D17—22no—
1134C4×D17—22no—
1135C4×D17—22no—
1136C4×D17—24no—
1137C4×D17—22no—
1138C4×D17—22no—
1139C4×D17—24no—
1140C4×D17—22no—
1141C4×D17—28no—
1142C4×D17—22no—
1143C4×D17—22no—
1144C4×D17—41no—
1145C4×D17—41no—
1146C4×D17—41no—
1147C4×D17—41no—
1148C4×D17—44no—
1149C4×D17—44no—
1150C4×D17—44no—
1151C4×D17—44no—
1152C4×D17—44no—
1153C4×D17—44no—
1154Dic34—24no—
1155Dic34—24no—
1156Dic34—42no—
1157Dic34—44no—
1158Dic34—44no—
1159Dic34—42no—
1160Dic34—42no—
1161#3562—172no—
1162#3562—172no—
1163#3561—172no—
1164#3560—172no—
1165#3560—172no—
1166#3559—172no—
1167#3558—172no—
1168#3558—172no—
1169#3554—172no—
1170#3552—172no—
1171#3546—172no—
1172#3543—172no—
1173#3537—172no—
1174#3536—172no—
1175#3534—172no—
1176#3534—172no—
1177#3529—174no—
1178#3481—174no—
1179#3480—172no—
1180D4×#41—172no—
1181D4×#41—172no—
1182D4×#41—172no—
1183#3460—174no—
1184#3459—174no—
1185#3455—171no—
1186#3455—171no—
1187#3449—171no—
1188#3449D1711yescharacteristic, complemented
1189#3444—171no—
1190C2×#532—171no—
1191C2×#529—171no—
1192C22×C17—21no—
1193C22×C17—21no—
1194C22×C17—24no—
1195C22×C17—24no—
1196C22×C17—22no—
1197C22×C17—24no—
1198C22×C17—24no—
1199C22×C17—24no—
1200C22×C17—24no—
1201C22×C17—22no—
1202C22×C17—22no—
1203C22×C17—82no—
1204C22×C17—88no—
1205C22×C17C2×H(5,𝔽2)12yes—
1206C22×C17C2611yescharacteristic
1207C2×D17—21no—
1208C2×D17—21no—
1209C2×D17—22no—
1210C2×D17—21no—
1211C2×D17—24no—
1212C2×D17—21no—
1213C2×D17—21no—
1214C2×D17—24no—
1215C2×D17—24no—
1216C2×D17—22no—
1217C2×D17—22no—
1218C2×D17—44no—
1219C2×D17—88no—
1220C2×D17—82no—
1221C2×D17—88no—
1222C2×D17#58512yes—
1223C4×C17—24no—
1224C4×C17—24no—
1225C4×C17—22no—
1226C4×C17—22no—
1227C4×C17—21no—
1228C4×C17—21no—
1229C4×C17—21no—
1230C4×C17—21no—
1231C4×C17—22no—
1232C4×C17C2×H(5,𝔽2)12yes—
1233C4×C17C2×H(5,𝔽2)12yes—
1234Dic17—24no—
1235Dic17—21no—
1236Dic17—22no—
1237Dic17—21no—
1238Dic17—22no—
1239Dic17—21no—
1240Dic17—24no—
1241Dic17—24no—
1242Dic17—21no—
1243Dic17—21no—
1244Dic17—22no—
1245Dic17#58512yes—
1246C22×#41—172no—
1247C22×#41—172no—
1248C22×#41C2×D1712yescomplemented
1249#563—174no—
1250#563—174no—
1251#563—174no—
1252#562—174no—
1253#562—174no—
1254#562—174no—
1255#562—174no—
1256#562—174no—
1257#562—174no—
1258H(3,𝔽4)—174no—
1259#560—174no—
1260#560—174no—
1261#560—174no—
1262#560—174no—
1263#560—174no—
1264#560—174no—
1265#559—172no—
1266#559—172no—
1267#559—172no—
1268#559—174no—
1269#557—172no—
1270#556—172no—
1271#556—172no—
1272#556—172no—
1273#554—174no—
1274#554—174no—
1275#553—174no—
1276#553—174no—
1277#553—174no—
1278#553—174no—
1279#553—174no—
1280#553—174no—
1281#553—174no—
1282#551—174no—
1283#551—174no—
1284#551—174no—
1285#551—174no—
1286#550—172no—
1287#550—172no—
1288#550—172no—
1289#550—172no—
1290D4×Q8—172no—
1291D4×Q8—172no—
1292D4×Q8—172no—
1293#548—172no—
1294#548—172no—
1295#548—172no—
1296#548—172no—
1297#548—172no—
1298#548—172no—
1299#548—174no—
1300#547—174no—
1301#547—172no—
1302#547—172no—
1303#547—174no—
1304#547—172no—
1305#547—174no—
1306#546—174no—
1307#546—174no—
1308#546—172no—
1309#546—172no—
1310#546—174no—
1311#546—172no—
1312#546—174no—
1313#546—172no—
1314#546—172no—
1315#546—172no—
1316#546—174no—
1317#546—174no—
1318#546—174no—
1319#546—174no—
1320#546—174no—
1321#546—174no—
1322D42—174no—
1323D42—174no—
1324D42—172no—
1325D42—172no—
1326D42—172no—
1327D42—174no—
1328D42—174no—
1329#544—174no—
1330#543—174no—
1331#542—172no—
1332#542—172no—
1333#542—174no—
1334#542—174no—
1335#542—174no—
1336#542—174no—
1337#542—172no—
1338#542—172no—
1339#541—172no—
1340#541—172no—
1341#540—172no—
1342#540—174no—
1343#540—174no—
1344#540—174no—
1345#540—174no—
1346#540—172no—
1347#539—174no—
1348#539—174no—
1349#539—174no—
1350#539—174no—
1351#539—174no—
1352#539—172no—
1353#539—172no—
1354#539—174no—
1355#539—172no—
1356#539—172no—
1357#538—174no—
1358#538—174no—
1359#538—174no—
1360#538—172no—
1361#538—172no—
1362#538—174no—
1363#538—174no—
1364#538—174no—
1365#538—174no—
1366#538—174no—
1367#538—174no—
1368#538—174no—
1369#538—172no—
1370#538—172no—
1371#537—172no—
1372#537—172no—
1373#537—174no—
1374#537C2×D1712yescomplemented
1375#537C2×D1712yescomplemented
1376#536—172no—
1377#536—172no—
1378#536C2×D1712yescomplemented
1379#536C2×D1712yescomplemented
1380#535—172no—
1381#535—172no—
1382#535—174no—
1383#535—174no—
1384#535C2×D1712yescomplemented
1385#535C2×D1712yescomplemented
1386#534—172no—
1387#534—172no—
1388#534—174no—
1389#534—174no—
1390#534—174no—
1391#534C2×D1712yescomplemented
1392#534C2×D1712yescomplemented
1393#533—171no—
1394#533—171no—
1395#533—171no—
1396#532—172no—
1397#532—172no—
1398#532—174no—
1399#532—174no—
1400#532—171no—
1401#532—171no—
1402#532—171no—
1403#532—171no—
1404#532—172no—
1405#532—172no—
1406#532—172no—
1407#532—172no—
1408#532—172no—
1409#532—174no—
1410#532—171no—
1411#532C2×D1711yescharacteristic, complemented
1412#532C2×D1711yescharacteristic, complemented
1413#532C2×D1712yescomplemented
1414C2×C4⋊Q8—171no—
1415C2×#127—171no—
1416#529—172no—
1417#529—172no—
1418#529—172no—
1419#529—172no—
1420#529—172no—
1421#529—172no—
1422#529—174no—
1423#529—174no—
1424#529—174no—
1425#529—174no—
1426#529—174no—
1427#529—172no—
1428#529—172no—
1429#529—172no—
1430#529—172no—
1431#529—172no—
1432#529—172no—
1433#529—172no—
1434#529—172no—
1435#529—174no—
1436#529—174no—
1437C2×#126—171no—
1438C2×#126—171no—
1439C2×#125—171no—
1440C2×#124—172no—
1441C2×#124—171no—
1442#525—172no—
1443#525—172no—
1444#525—174no—
1445#525—174no—
1446#525—172no—
1447#525—174no—
1448#525—174no—
1449#525—172no—
1450#525—172no—
1451#525—174no—
1452#525—174no—
1453#525—174no—
1454#525—174no—
1455#525C2×D1714yescomplemented
1456#525C2×D1714yescomplemented
1457C2×#123—171no—
1458C2×#123—171no—
1459C2×C22⋊Q8—171no—
1460C2×#121—172no—
1461C2×#121—172no—
1462C2×#121—171no—
1463C4×#41—172no—
1464C4×#41—172no—
1465C4×#41—172no—
1466C4×#41—172no—
1467C4×#41—174no—
1468C4×#41—172no—
1469C2×C4×Q8—171no—
1470C2×C4×D4—171no—
1471C2×C4×D4—171no—
1472C2×C4×D4—174no—
1473C2×C4×D4—174no—
1474C2×C4×D4—172no—
1475C2×C4×D4—172no—
1476C2×C4×D4—174no—
1477C2×C4×D4—171no—
1478C2×#117—171no—
1479C2×#117C2×D1711yescharacteristic, complemented
1480C22×C42—171no—
1481C2×C17—22no—
1482C2×C17—44no—
1483C2×C17—44no—
1484C2×C17—42no—
1485C2×C17C22×H(5,𝔽2)11yescharacteristic
1486C2×C17C2×#58511yescharacteristic
1487C2×C17C2×#58511yescharacteristic
1488D17—22no—
1489D17—41no—
1490D17—44no—
1491D17—42no—
1492C2×#41—48no—
1493C2×#41—172no—
1494C2×#41—172no—
1495C2×#41—172no—
1496C2×#41—172no—
1497C2×#41—174no—
1498C2×#41—174no—
1499C2×#41—172no—
1500C2×#41—172no—
1501C2×#41—174no—
1502C2×#41—172no—
1503C2×#41—174no—
1504C2×#41—174no—
1505C2×#41—688no—
1506C2×#41—688no—
1507C2×#41C22×D1712yes—
1508C2×#41C22×D1712yes—
1509C2×#41C22×D1714yes—
1510C2×#41C22×D1712yes—
1511C2×#41C22×D1712yes—
1512C2×#41C22×D1714yes—
1513C22×Q8—172no—
1514C22×Q8—172no—
1515C22×Q8—171no—
1516C22×Q8C22×D1712yes—
1517C22×D4—171no—
1518C22×D4—171no—
1519C22×D4—174no—
1520C22×D4—174no—
1521C22×D4—172no—
1522C22×D4—172no—
1523C22×D4—174no—
1524C22×D4—174no—
1525C22×D4—172no—
1526C22×D4—174no—
1527C22×D4—172no—
1528C22×D4—171no—
1529C22×D4C22×D1714yes—
1530C22×D4C22×D1712yes—
1531C23×C4—171no—
1532C23×C4—171no—
1533C23×C4—174no—
1534C23×C4—174no—
1535C23×C4—171no—
1536C23×C4—171no—
1537C23×C4C22×D1711yescharacteristic
1538C23×C4C22×D1714yes—
1539C4⋊Q8—172no—
1540C4⋊Q8—172no—
1541C4⋊Q8—174no—
1542C4⋊Q8—174no—
1543C4⋊Q8—172no—
1544C4⋊Q8—172no—
1545C4⋊Q8—174no—
1546C4⋊Q8—171no—
1547C4⋊Q8—171no—
1548C4⋊Q8—171no—
1549C4⋊Q8C22×D1711yescharacteristic
1550C4⋊Q8C22×D1711yescharacteristic
1551C4⋊Q8C22×D1712yes—
1552#127—172no—
1553#127—172no—
1554#127—172no—
1555#127—172no—
1556#127—174no—
1557#127—174no—
1558#127—174no—
1559#127—171no—
1560#127C22×D1711yescharacteristic
1561#127C22×D1711yescharacteristic
1562#127C22×D1712yes—
1563#126—172no—
1564#126—172no—
1565#126—172no—
1566#126—172no—
1567#126—174no—
1568#126—174no—
1569#126—174no—
1570#126—174no—
1571#126—174no—
1572#126—174no—
1573#126—172no—
1574#126—172no—
1575#126—172no—
1576#126—172no—
1577#126—174no—
1578#126—174no—
1579#126—174no—
1580#126—174no—
1581#126—174no—
1582#126—174no—
1583#126—174no—
1584#126—174no—
1585#126—174no—
1586#126—174no—
1587#125—172no—
1588#125—172no—
1589#125—172no—
1590#125—172no—
1591#125—172no—
1592#125—172no—
1593#125—174no—
1594#125—174no—
1595#125—174no—
1596#125—174no—
1597#125—174no—
1598#125—174no—
1599#125—174no—
1600#125—172no—
1601#124—172no—
1602#124—172no—
1603#124—174no—
1604#124—174no—
1605#124—172no—
1606#124—172no—
1607#124—172no—
1608#124—174no—
1609#124—172no—
1610#124—174no—
1611#124—174no—
1612#124—172no—
1613#124—172no—
1614#124—172no—
1615#124—172no—
1616#124—174no—
1617#124—174no—
1618#124—174no—
1619#124—174no—
1620#124—174no—
1621#124—174no—
1622#124—174no—
1623#124—174no—
1624#124—174no—
1625#124—174no—
1626#124—172no—
1627#124C22×D1712yes—
1628#124C22×D1712yes—
1629#124C22×D1712yes—
1630#124C22×D1712yes—
1631#123—174no—
1632#123—174no—
1633#123—174no—
1634#123—174no—
1635#123—174no—
1636#123—174no—
1637#123—174no—
1638#123—174no—
1639#123—174no—
1640#123—174no—
1641#123—174no—
1642#123—174no—
1643#123—174no—
1644#123—174no—
1645#123—174no—
1646#123—172no—
1647#123—172no—
1648#123—172no—
1649#123—172no—
1650#123—174no—
1651#123—174no—
1652#123—174no—
1653#123—174no—
1654#123—174no—
1655#123—174no—
1656#123—172no—
1657#123—172no—
1658#123—172no—
1659#123—172no—
1660#123—174no—
1661#123—174no—
1662#123—174no—
1663#123—174no—
1664#123—174no—
1665#123—174no—
1666#123—174no—
1667#123—174no—
1668#123—174no—
1669#123—174no—
1670#123—174no—
1671#123—174no—
1672#123—174no—
1673#123—174no—
1674#123C22×D1714yes—
1675#123C22×D1714yes—
1676#123C22×D1714yes—
1677#123C22×D1714yes—
1678C22⋊Q8—172no—
1679C22⋊Q8—172no—
1680C22⋊Q8—174no—
1681C22⋊Q8—174no—
1682C22⋊Q8—174no—
1683C22⋊Q8—174no—
1684C22⋊Q8—172no—
1685C22⋊Q8—172no—
1686C22⋊Q8—172no—
1687C22⋊Q8—172no—
1688C22⋊Q8—174no—
1689C22⋊Q8—174no—
1690C22⋊Q8—174no—
1691C22⋊Q8—172no—
1692C22⋊Q8—172no—
1693C22⋊Q8—174no—
1694C22⋊Q8—172no—
1695C22⋊Q8—172no—
1696C22⋊Q8—172no—
1697C22⋊Q8—172no—
1698C22⋊Q8—172no—
1699C22⋊Q8—172no—
1700C22⋊Q8—174no—
1701C22⋊Q8—174no—
1702C22⋊Q8—174no—
1703C22⋊Q8—174no—
1704C22⋊Q8—174no—
1705C22⋊Q8—174no—
1706C22⋊Q8—174no—
1707C22⋊Q8—174no—
1708C22⋊Q8—174no—
1709C22⋊Q8—174no—
1710C22⋊Q8—174no—
1711C22⋊Q8—174no—
1712C22⋊Q8—174no—
1713C22⋊Q8—174no—
1714C22⋊Q8—174no—
1715C22⋊Q8C22×D1714yes—
1716C22⋊Q8C22×D1714yes—
1717C22⋊Q8C22×D1714yes—
1718C22⋊Q8C22×D1714yes—
1719#121—172no—
1720#121—174no—
1721#121—174no—
1722#121—172no—
1723#121—172no—
1724#121—172no—
1725#121—172no—
1726#121—172no—
1727#121—174no—
1728#121—174no—
1729#121—174no—
1730#121—174no—
1731#121—174no—
1732#121—174no—
1733#121—174no—
1734#121—174no—
1735#121—172no—
1736#121—172no—
1737#121—174no—
1738#121—174no—
1739#121—174no—
1740#121—174no—
1741#121—174no—
1742#121—174no—
1743#121—174no—
1744#121—174no—
1745#121—174no—
1746#121—174no—
1747#121—174no—
1748#121—174no—
1749#121—174no—
1750#121—174no—
1751#121—174no—
1752#121—174no—
1753#121—172no—
1754#121—172no—
1755#121—174no—
1756#121—174no—
1757#121—174no—
1758#121—174no—
1759#121—172no—
1760#121—172no—
1761#121—172no—
1762#121—172no—
1763#121—174no—
1764#121—172no—
1765#121—172no—
1766#121—172no—
1767#121—172no—
1768#121—174no—
1769#121—174no—
1770#121—174no—
1771#121—174no—
1772#121—174no—
1773#121—174no—
1774#121—174no—
1775#121—174no—
1776#121—174no—
1777#121—174no—
1778#121C22×D1712yes—
1779#121C22×D1712yes—
1780#121C22×D1712yes—
1781#121C22×D1712yes—
1782#121C22×D1714yes—
1783#121C22×D1714yes—
1784#121C22×D1714yes—
1785#121C22×D1714yes—
1786#121C22×D1714yes—
1787#121C22×D1714yes—
1788#120—174no—
1789#120—174no—
1790#120—174no—
1791#120—174no—
1792#120—174no—
1793#120—174no—
1794#120—174no—
1795#120—174no—
1796#120—174no—
1797#120—174no—
1798#120—174no—
1799#120—174no—
1800#120—174no—
1801#120—174no—
1802#120—174no—
1803#120—174no—
1804#120—174no—
1805#120—174no—
1806#120—174no—
1807#120C22×D1714yes—
1808#120C22×D1714yes—
1809#120C22×D1714yes—
1810#120C22×D1714yes—
1811C4×Q8—172no—
1812C4×Q8—172no—
1813C4×Q8—172no—
1814C4×Q8—172no—
1815C4×Q8—172no—
1816C4×Q8—172no—
1817C4×Q8—174no—
1818C4×Q8—172no—
1819C4×Q8—172no—
1820C4×Q8—172no—
1821C4×Q8—172no—
1822C4×Q8—172no—
1823C4×Q8—172no—
1824C4×Q8—172no—
1825C4×Q8—172no—
1826C4×D4—172no—
1827C4×D4—172no—
1828C4×D4—174no—
1829C4×D4—174no—
1830C4×D4—174no—
1831C4×D4—172no—
1832C4×D4—172no—
1833C4×D4—172no—
1834C4×D4—172no—
1835C4×D4—174no—
1836C4×D4—174no—
1837C4×D4—174no—
1838C4×D4—172no—
1839C4×D4—172no—
1840C4×D4—172no—
1841C4×D4—172no—
1842C4×D4—174no—
1843C4×D4—174no—
1844C4×D4—172no—
1845C4×D4—174no—
1846C4×D4—174no—
1847C4×D4—174no—
1848C4×D4—174no—
1849C4×D4—172no—
1850C4×D4—174no—
1851C4×D4—174no—
1852C4×D4—172no—
1853C4×D4—172no—
1854C4×D4—172no—
1855C4×D4—172no—
1856C4×D4—174no—
1857C4×D4—174no—
1858C4×D4—174no—
1859C4×D4—174no—
1860C4×D4—174no—
1861C4×D4—174no—
1862C4×D4—174no—
1863C4×D4—174no—
1864C4×D4—174no—
1865C4×D4—174no—
1866C4×D4—174no—
1867C4×D4—174no—
1868C4×D4—172no—
1869C4×D4—172no—
1870C4×D4—174no—
1871C4×D4—174no—
1872C4×D4—174no—
1873C4×D4—174no—
1874C4×D4—174no—
1875C4×D4—174no—
1876C4×D4—174no—
1877C4×D4—174no—
1878C4×D4—174no—
1879C4×D4—172no—
1880C4×D4—172no—
1881C4×D4—172no—
1882C4×D4—172no—
1883C4×D4—172no—
1884C4×D4—172no—
1885C4×D4—172no—
1886C4×D4—172no—
1887C4×D4C22×D1712yes—
1888C4×D4C22×D1712yes—
1889C4×D4C22×D1714yes—
1890C4×D4C22×D1712yes—
1891C4×D4C22×D1712yes—
1892C4×D4C22×D1714yes—
1893#117—172no—
1894#117—174no—
1895#117—174no—
1896#117—172no—
1897#117—172no—
1898#117—174no—
1899#117—174no—
1900#117—174no—
1901#117—174no—
1902#117—174no—
1903#117—172no—
1904#117—172no—
1905#117—172no—
1906#117—172no—
1907#117—174no—
1908#117C22×D1712yes—
1909#117C22×D1712yes—
1910#117C22×D1712yes—
1911#117C22×D1712yes—
1912C2×C4⋊C4—171no—
1913C2×C4⋊C4—171no—
1914C2×C4⋊C4—171no—
1915C2×C4⋊C4—171no—
1916C2×C4⋊C4—171no—
1917C2×C4⋊C4—174no—
1918C2×C4⋊C4—174no—
1919C2×C4⋊C4—171no—
1920C2×C4⋊C4—171no—
1921C2×C4⋊C4—171no—
1922C2×C4⋊C4—172no—
1923C2×C4⋊C4—172no—
1924C2×C4⋊C4—174no—
1925C2×C4⋊C4C22×D1711yescharacteristic
1926C2×C4⋊C4C22×D1711yescharacteristic
1927C2×C22⋊C4—171no—
1928C2×C22⋊C4—171no—
1929C2×C22⋊C4—174no—
1930C2×C22⋊C4—174no—
1931C2×C22⋊C4—171no—
1932C2×C22⋊C4—171no—
1933C2×C22⋊C4—171no—
1934C2×C22⋊C4—171no—
1935C2×C22⋊C4—171no—
1936C2×C22⋊C4—171no—
1937C2×C22⋊C4—174no—
1938C2×C22⋊C4—174no—
1939C2×C22⋊C4—174no—
1940C2×C22⋊C4—174no—
1941C2×C22⋊C4—174no—
1942C2×C22⋊C4—174no—
1943C2×C22⋊C4C22×D1711yescharacteristic
1944C2×C22⋊C4C22×D1711yescharacteristic
1945C2×C42—171no—
1946C2×C42—171no—
1947C2×C42—174no—
1948C2×C42—174no—
1949C2×C42—171no—
1950C2×C42—171no—
1951C2×C42—171no—
1952C2×C42—171no—
1953C2×C42—174no—
1954C2×C42—171no—
1955C2×C42—171no—
1956C2×C42—171no—
1957C2×C42—171no—
1958C2×C42—171no—
1959C2×C42—171no—
1960C2×C42C22×D1711yescharacteristic
1961C2×C42C22×D1711yescharacteristic
1962C17#6274811yescharacteristic, complemented, Sylow
1963C24—171no—
1964C24—174no—
1965C24—171no—
1966C24—174no—
1967C24C23×D1711yescharacteristic
1968C24C23×D1714yes—
1969#41—28no—
1970#41—28no—
1971#41—48no—
1972#41—48no—
1973#41—44no—
1974#41—44no—
1975#41—348no—
1976#41—688no—
1977#41—688no—
1978#41—684no—
1979#41—688no—
1980#41—688no—
1981#41—684no—
1982#41—684no—
1983#41—684no—
1984#41—688no—
1985#41—684no—
1986#41—684no—
1987C2×Q8—44no—
1988C2×Q8—172no—
1989C2×Q8—172no—
1990C2×Q8—172no—
1991C2×Q8—172no—
1992C2×Q8—172no—
1993C2×Q8—174no—
1994C2×Q8—174no—
1995C2×Q8—682no—
1996C2×Q8—684no—
1997C2×Q8—684no—
1998C2×Q8C23×D1712yes—
1999C2×Q8C23×D1712yes—
2000C2×Q8C23×D1714yes—
2001C2×D4—44no—
2002C2×D4—48no—
2003C2×D4—174no—
2004C2×D4—172no—
2005C2×D4—172no—
2006C2×D4—174no—
2007C2×D4—174no—
2008C2×D4—172no—
2009C2×D4—174no—
2010C2×D4—174no—
2011C2×D4—174no—
2012C2×D4—174no—
2013C2×D4—174no—
2014C2×D4—174no—
2015C2×D4—174no—
2016C2×D4—174no—
2017C2×D4—172no—
2018C2×D4—174no—
2019C2×D4—174no—
2020C2×D4—174no—
2021C2×D4—174no—
2022C2×D4—172no—
2023C2×D4—172no—
2024C2×D4—172no—
2025C2×D4—172no—
2026C2×D4—172no—
2027C2×D4—174no—
2028C2×D4—174no—
2029C2×D4—682no—
2030C2×D4—684no—
2031C2×D4—684no—
2032C2×D4—684no—
2033C2×D4—684no—
2034C2×D4—682no—
2035C2×D4—688no—
2036C2×D4—688no—
2037C2×D4—688no—
2038C2×D4—688no—
2039C2×D4—682no—
2040C2×D4—688no—
2041C2×D4C23×D1714yes—
2042C2×D4C23×D1714yes—
2043C2×D4C23×D1712yes—
2044C2×D4C23×D1712yes—
2045C2×D4C23×D1712yes—
2046C2×D4C23×D1712yes—
2047C2×D4C23×D1714yes—
2048C2×D4C23×D1712yes—
2049C2×D4C23×D1712yes—
2050C2×D4C23×D1714yes—
2051C2×D4C23×D1714yes—
2052C2×D4C23×D1714yes—
2053C2×D4C23×D1714yes—
2054C22×C4—24no—
2055C22×C4—48no—
2056C22×C4—171no—
2057C22×C4—171no—
2058C22×C4—174no—
2059C22×C4—171no—
2060C22×C4—171no—
2061C22×C4—171no—
2062C22×C4—174no—
2063C22×C4—174no—
2064C22×C4—171no—
2065C22×C4—174no—
2066C22×C4—174no—
2067C22×C4—174no—
2068C22×C4—171no—
2069C22×C4—171no—
2070C22×C4—171no—
2071C22×C4—171no—
2072C22×C4—171no—
2073C22×C4—171no—
2074C22×C4—172no—
2075C22×C4—171no—
2076C22×C4—171no—
2077C22×C4—174no—
2078C22×C4—172no—
2079C22×C4—171no—
2080C22×C4—171no—
2081C22×C4—171no—
2082C22×C4—171no—
2083C22×C4—174no—
2084C22×C4—174no—
2085C22×C4—174no—
2086C22×C4—174no—
2087C22×C4—174no—
2088C22×C4—174no—
2089C22×C4—344no—
2090C22×C4—344no—
2091C22×C4—688no—
2092C22×C4—688no—
2093C22×C4—682no—
2094C22×C4—682no—
2095C22×C4C23×D1711yescharacteristic
2096C22×C4C23×D1712yes—
2097C22×C4C23×D1714yes—
2098C22×C4C23×D1714yes—
2099C22×C4C23×D1712yes—
2100C22×C4C23×D1711yescharacteristic
2101C22×C4C23×D1711yescharacteristic
2102C22×C4C23×D1711yescharacteristic
2103C22×C4C23×D1711yescharacteristic
2104C22×C4C23×D1714yes—
2105C22×C4C23×D1714yes—
2106C22×C4C23×D1714yes—
2107C22×C4C23×D1711yescharacteristic
2108C4⋊C4—172no—
2109C4⋊C4—172no—
2110C4⋊C4—172no—
2111C4⋊C4—174no—
2112C4⋊C4—174no—
2113C4⋊C4—172no—
2114C4⋊C4—172no—
2115C4⋊C4—172no—
2116C4⋊C4—172no—
2117C4⋊C4—172no—
2118C4⋊C4—172no—
2119C4⋊C4—172no—
2120C4⋊C4—172no—
2121C4⋊C4—174no—
2122C4⋊C4—174no—
2123C4⋊C4—172no—
2124C4⋊C4—172no—
2125C4⋊C4—172no—
2126C4⋊C4—174no—
2127C4⋊C4—174no—
2128C4⋊C4—174no—
2129C4⋊C4—174no—
2130C4⋊C4—172no—
2131C4⋊C4—172no—
2132C4⋊C4—172no—
2133C4⋊C4—172no—
2134C4⋊C4—172no—
2135C4⋊C4—172no—
2136C4⋊C4—174no—
2137C4⋊C4—174no—
2138C4⋊C4—174no—
2139C4⋊C4—174no—
2140C4⋊C4—174no—
2141C4⋊C4—174no—
2142C4⋊C4—174no—
2143C4⋊C4—174no—
2144C4⋊C4—174no—
2145C4⋊C4—174no—
2146C4⋊C4—172no—
2147C4⋊C4—172no—
2148C4⋊C4C23×D1712yes—
2149C4⋊C4C23×D1712yes—
2150C4⋊C4C23×D1714yes—
2151C4⋊C4C23×D1712yes—
2152C4⋊C4C23×D1712yes—
2153C4⋊C4C23×D1712yes—
2154C4⋊C4C23×D1712yes—
2155C4⋊C4C23×D1712yes—
2156C4⋊C4C23×D1712yes—
2157C4⋊C4C23×D1714yes—
2158C22⋊C4—172no—
2159C22⋊C4—172no—
2160C22⋊C4—174no—
2161C22⋊C4—174no—
2162C22⋊C4—172no—
2163C22⋊C4—174no—
2164C22⋊C4—174no—
2165C22⋊C4—172no—
2166C22⋊C4—174no—
2167C22⋊C4—174no—
2168C22⋊C4—174no—
2169C22⋊C4—174no—
2170C22⋊C4—174no—
2171C22⋊C4—174no—
2172C22⋊C4—174no—
2173C22⋊C4—174no—
2174C22⋊C4—174no—
2175C22⋊C4—174no—
2176C22⋊C4—174no—
2177C22⋊C4—172no—
2178C22⋊C4—172no—
2179C22⋊C4—172no—
2180C22⋊C4—172no—
2181C22⋊C4—174no—
2182C22⋊C4—174no—
2183C22⋊C4—172no—
2184C22⋊C4—172no—
2185C22⋊C4—172no—
2186C22⋊C4—172no—
2187C22⋊C4—172no—
2188C22⋊C4—174no—
2189C22⋊C4—174no—
2190C22⋊C4—172no—
2191C22⋊C4—174no—
2192C22⋊C4—174no—
2193C22⋊C4—174no—
2194C22⋊C4—174no—
2195C22⋊C4—174no—
2196C22⋊C4—174no—
2197C22⋊C4—172no—
2198C22⋊C4—172no—
2199C22⋊C4—174no—
2200C22⋊C4—174no—
2201C22⋊C4—174no—
2202C22⋊C4—174no—
2203C22⋊C4C23×D1714yes—
2204C22⋊C4C23×D1714yes—
2205C22⋊C4C23×D1714yes—
2206C22⋊C4C23×D1714yes—
2207C22⋊C4C23×D1712yes—
2208C22⋊C4C23×D1712yes—
2209C22⋊C4C23×D1712yes—
2210C22⋊C4C23×D1712yes—
2211C22⋊C4C23×D1714yes—
2212C22⋊C4C23×D1714yes—
2213C22⋊C4C23×D1714yes—
2214C22⋊C4C23×D1714yes—
2215C42—171no—
2216C42—171no—
2217C42—171no—
2218C42—171no—
2219C42—171no—
2220C42—171no—
2221C42—171no—
2222C42—171no—
2223C42—171no—
2224C42—171no—
2225C42—174no—
2226C42—174no—
2227C42—172no—
2228C42—174no—
2229C42—174no—
2230C42—174no—
2231C42—174no—
2232C42—171no—
2233C42—172no—
2234C42—171no—
2235C42—174no—
2236C42C23×D1711yescharacteristic
2237C42C23×D1711yescharacteristic
2238C42C23×D1712yes—
2239C42C23×D1711yescharacteristic
2240C42C23×D1711yescharacteristic
2241C42C23×D1712yes—
2242C23—22no—
2243C23—44no—
2244C23—41no—
2245C23—41no—
2246C23—44no—
2247C23—44no—
2248C23—171no—
2249C23—172no—
2250C23—174no—
2251C23—171no—
2252C23—342no—
2253C23—348no—
2254C23—342no—
2255C23—342no—
2256C23—681no—
2257C23—684no—
2258C23—684no—
2259C23—681no—
2260C23—681no—
2261C23—684no—
2262C23—684no—
2263C23—684no—
2264C23C24×D1712yes—
2265C23C24×D1714yes—
2266C23C24×D1714yes—
2267C23C24×D1711yescharacteristic
2268Q8—24no—
2269Q8—24no—
2270Q8—44no—
2271Q8—344no—
2272Q8—344no—
2273Q8—684no—
2274Q8—684no—
2275Q8—682no—
2276Q8—682no—
2277Q8—682no—
2278D4—28no—
2279D4—28no—
2280D4—24no—
2281D4—24no—
2282D4—44no—
2283D4—44no—
2284D4—44no—
2285D4—42no—
2286D4—42no—
2287D4—44no—
2288D4—42no—
2289D4—42no—
2290D4—44no—
2291D4—344no—
2292D4—344no—
2293D4—348no—
2294D4—344no—
2295D4—348no—
2296D4—348no—
2297D4—344no—
2298D4—684no—
2299D4—684no—
2300D4—682no—
2301D4—682no—
2302D4—682no—
2303D4—684no—
2304D4—684no—
2305D4—684no—
2306D4—684no—
2307D4—684no—
2308D4—684no—
2309D4—684no—
2310D4—682no—
2311D4—684no—
2312D4—682no—
2313D4—684no—
2314D4—684no—
2315D4—684no—
2316D4—684no—
2317C2×C4—22no—
2318C2×C4—24no—
2319C2×C4—24no—
2320C2×C4—28no—
2321C2×C4—28no—
2322C2×C4—44no—
2323C2×C4—44no—
2324C2×C4—44no—
2325C2×C4—41no—
2326C2×C4—41no—
2327C2×C4—41no—
2328C2×C4—41no—
2329C2×C4—171no—
2330C2×C4—171no—
2331C2×C4—171no—
2332C2×C4—172no—
2333C2×C4—174no—
2334C2×C4—174no—
2335C2×C4—171no—
2336C2×C4—172no—
2337C2×C4—171no—
2338C2×C4—171no—
2339C2×C4—174no—
2340C2×C4—172no—
2341C2×C4—342no—
2342C2×C4—342no—
2343C2×C4—342no—
2344C2×C4—342no—
2345C2×C4—342no—
2346C2×C4—348no—
2347C2×C4—342no—
2348C2×C4—342no—
2349C2×C4—342no—
2350C2×C4—344no—
2351C2×C4—342no—
2352C2×C4—344no—
2353C2×C4—342no—
2354C2×C4—342no—
2355C2×C4—348no—
2356C2×C4—684no—
2357C2×C4—684no—
2358C2×C4—684no—
2359C2×C4—684no—
2360C2×C4—681no—
2361C2×C4—681no—
2362C2×C4—681no—
2363C2×C4—681no—
2364C2×C4—684no—
2365C2×C4—684no—
2366C2×C4—684no—
2367C2×C4—684no—
2368C2×C4—681no—
2369C2×C4—681no—
2370C2×C4—684no—
2371C2×C4—681no—
2372C2×C4—684no—
2373C2×C4—684no—
2374C2×C4#1058769114yes—
2375C2×C4C24×D1711yescharacteristic
2376C2×C4C24×D1711yescharacteristic
2377C2×C4C24×D1712yes—
2378C2×C4C24×D1711yescharacteristic
2379C2×C4C24×D1711yescharacteristic
2380C2×C4C24×D1712yes—
2381C2×C4C24×D1714yes—
2382C2×C4C24×D1714yes—
2383C2×C4C24×D1712yes—
2384C2×C4C24×D1711yescharacteristic
2385C2×C4C24×D1711yescharacteristic
2386C22—21no—
2387C22—21no—
2388C22—22no—
2389C22—24no—
2390C22—24no—
2391C22—24no—
2392C22—24no—
2393C22—24no—
2394C22—24no—
2395C22—22no—
2396C22—22no—
2397C22—82no—
2398C22—88no—
2399C22—172no—
2400C22—341no—
2401C22—341no—
2402C22—342no—
2403C22—341no—
2404C22—344no—
2405C22—341no—
2406C22—341no—
2407C22—344no—
2408C22—344no—
2409C22—342no—
2410C22—342no—
2411C22—684no—
2412C22—1362no—
2413C22—1368no—
2414C22—1368no—
2415C22C2×#1058769112yes—
2416C22C25×D1711yescharacteristic
2417C4—22no—
2418C4—24no—
2419C4—24no—
2420C4—21no—
2421C4—21no—
2422C4—21no—
2423C4—21no—
2424C4—22no—
2425C4—22no—
2426C4—172no—
2427C4—341no—
2428C4—342no—
2429C4—341no—
2430C4—344no—
2431C4—341no—
2432C4—341no—
2433C4—344no—
2434C4—341no—
2435C4—342no—
2436C4—344no—
2437C4—342no—
2438C4C2×#1058769112yes—
2439C4C2×#1058769112yes—
2440C2—22no—
2441C2—42no—
2442C2—44no—
2443C2—44no—
2444C2—342no—
2445C2—681no—
2446C2—682no—
2447C2—684no—
2448C2C22×#1058769111yescharacteristic
2449C2D17×#58511yescharacteristic
2450C2D17×#58511yescharacteristic
subgroupG/H
centerC2×C4C24×D17
commutator, socle, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC17×#3449C2
hypercenter#3449D17
hypocenterC17#62748
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #3449

Complements

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

NH ≅ G/Ntype
1. #14543368C2semidirect
2. #14543360C2semidirect
3. #14543345C2semidirect
4. #14543333C2semidirect
5. #14543326C2semidirect
6. #14543311C2semidirect
7. #14543302C2semidirect
8. #14543296C2semidirect
9. #14543244C2semidirect
10. #14543216C2semidirect
11. #14543145C2semidirect
12. #14543110C2semidirect
13. #14543021C2semidirect
14. #14543001C2semidirect
15. #14542971C2semidirect
16. #14542963C2semidirect
17. #14542922C2semidirect
18. #14542386C2semidirect
19. #14542381C2semidirect
20. #14542270C2semidirect
21. #41×C22⋊D17C2semidirect
22. #41×C22⋊D17C2semidirect
23. #14542202C2semidirect
24. #14542191C2semidirect
25. #14542174C2semidirect
26. #14542173C2semidirect
27. #14542111C2semidirect
28. #14542079C2semidirect
29. D17×#532C2semidirect
30. C2×#11763337C2semidirect
31. C17×#3449C2semidirect
32. C2×#41×D17C22semidirect
33. C2×#41×D17C22semidirect
34. #11763562C22semidirect
35. #11763560C22semidirect
36. #11763560C22semidirect
37. #11763556C22semidirect
38. #11763556C22semidirect
39. #11763555C22semidirect
40. #11763555C22semidirect
41. #11763554C22semidirect
42. #11763554C22semidirect
43. #11763552C22semidirect
44. #11763549C22semidirect
45. #11763548C22semidirect
46. #11763548C22semidirect
47. #11763548C22semidirect
48. #11763547C22semidirect
49. #11763547C22semidirect
50. #11763545C22semidirect
51. #11763543C22semidirect
52. #11763541C22semidirect
53. #11763541C22semidirect
54. #11763534C22semidirect
55. #11763533C22semidirect
56. #11763528C22semidirect
57. #11763528C22semidirect
58. #11763513C22semidirect
59. #11763513C22semidirect
60. #11763511C22semidirect
61. #11763504C22semidirect
62. #11763504C22semidirect
63. #11763502C22semidirect
64. #11763502C22semidirect
65. #11763502C22semidirect
66. #11763502C22semidirect
67. #11763490C22semidirect
68. #11763487C22semidirect
69. #11763486C22semidirect
70. #11763486C22semidirect
71. #11763479C22semidirect
72. #11763479C22semidirect
73. #11763478C22semidirect
74. #11763478C22semidirect
75. #11763474C22semidirect
76. Q8×C22⋊D17C22semidirect
77. Q8×C22⋊D17C22semidirect
78. #11763470C22semidirect
79. #11763470C22semidirect
80. #11763467C22semidirect
81. #11763467C22semidirect
82. #11763466C22semidirect
83. #11763466C22semidirect
84. #11763465C22semidirect
85. #11763462C22semidirect
86. #11763459C22semidirect
87. #11763458C22semidirect
88. #11763458C22semidirect
89. #11763458C22semidirect
90. #11763458C22semidirect
91. #11763453C22semidirect
92. #11763453C22semidirect
93. #11763453C22semidirect
94. #11763453C22semidirect
95. #11763452C22semidirect
96. #11763452C22semidirect
97. #11763448C22semidirect
98. #11763448C22semidirect
99. #11763448C22semidirect
100. #11763448C22semidirect
101. #11763447C22semidirect
102. #11763447C22semidirect
103. #11763447C22semidirect
104. #11763447C22semidirect
105. #11763446C22semidirect
106. #11763446C22semidirect
107. #11763444C22semidirect
108. #11763443C22semidirect
109. D4×C22⋊D17C22semidirect
110. D4×C22⋊D17C22semidirect
111. D4×C22⋊D17C22semidirect
112. D4×C22⋊D17C22semidirect
113. #11763441C22semidirect
114. #11763438C22semidirect
115. #11763434C22semidirect
116. #11763430C22semidirect
117. #11763430C22semidirect
118. #11763429C22semidirect
119. #11763429C22semidirect
120. #11763428C22semidirect
121. #11763428C22semidirect
122. #11763427C22semidirect
123. #11763427C22semidirect
124. #11763421C22semidirect
125. #11763420C22semidirect
126. #11763414C22semidirect
127. #11763413C22semidirect
128. #11763411C22semidirect
129. #11763411C22semidirect
130. #11763409C22semidirect
131. #11763409C22semidirect
132. #11763408C22semidirect
133. #11763406C22semidirect
134. #11763406C22semidirect
135. #11763405C22semidirect
136. #11763405C22semidirect
137. #11763404C22semidirect
138. #11763404C22semidirect
139. #11763404C22semidirect
140. #11763402C22semidirect
141. #11763402C22semidirect
142. #11763399C22semidirect
143. #11763397C22semidirect
144. #11763397C22semidirect
145. #11763396C22semidirect
146. #11763396C22semidirect
147. #11763396C22semidirect
148. #11763395C22semidirect
149. #11763395C22semidirect
150. #11763394C22semidirect
151. #11763394C22semidirect
152. #11763394C22semidirect
153. #11763394C22semidirect
154. #11763391C22semidirect
155. #11763391C22semidirect
156. #11763386C22semidirect
157. #11763386C22semidirect
158. #11763386C22semidirect
159. #11763384C22semidirect
160. #11763379C22semidirect
161. #11763377C22semidirect
162. #11763374C22semidirect
163. #11763374C22semidirect
164. #11763372C22semidirect
165. #11763369C22semidirect
166. #11763369C22semidirect
167. #11763367C22semidirect
168. #11763367C22semidirect
169. #11763367C22semidirect
170. #11763366C22semidirect
171. #11763364C22semidirect
172. #11763364C22semidirect
173. #11763360C22semidirect
174. #11763359C22semidirect
175. #11763358C22semidirect
176. #11763357C22semidirect
177. #11763357C22semidirect
178. #11763357C22semidirect
179. #11763356C22semidirect
180. #11763356C22semidirect
181. #11763356C22semidirect
182. #11763355C22semidirect
183. #11763355C22semidirect
184. #11763355C22semidirect
185. #11763355C22semidirect
186. #11763354C22semidirect
187. #11763354C22semidirect
188. C4⋊Q8×D17C22semidirect
189. #127×D17C22semidirect
190. #11763341C22semidirect
191. #11763341C22semidirect
192. #11763341C22semidirect
193. #11763340C22semidirect
194. #11763340C22semidirect
195. #11763339C22semidirect
196. #11763339C22semidirect
197. #11763339C22semidirect
198. #11763339C22semidirect
199. #11763338C22semidirect
200. #11763338C22semidirect
201. #11763337C22semidirect
202. #11763337C22semidirect
203. #11763337C22semidirect
204. #11763337C22semidirect
205. #11763337C22semidirect
206. #11763337C22semidirect
207. #11763337C22semidirect
208. #11763337C22semidirect
209. #11763337C22semidirect
210. #11763337C22semidirect
211. C2×#10587584C22semidirect
212. C2×#10587565C22semidirect
213. C2×#10587575C22semidirect
214. C2×#10587571C22semidirect
215. #124×D17C22semidirect
216. #11763320C22semidirect
217. #11763320C22semidirect
218. #11763320C22semidirect
219. #11763319C22semidirect
220. #11763319C22semidirect
221. #11763318C22semidirect
222. #11763318C22semidirect
223. #11763318C22semidirect
224. #11763318C22semidirect
225. #11763316C22semidirect
226. #11763316C22semidirect
227. #11763316C22semidirect
228. #11763316C22semidirect
229. C2×#10587580C22semidirect
230. C2×#10587569C22semidirect
231. C2×#10587582C22semidirect
233. #121×D17C22semidirect
234. #121×D17C22semidirect
235. #41×Dic17C22semidirect
236. #41×Dic17C22semidirect
237. C4×#63252C22semidirect
238. C4×#63254C22semidirect
239. C4×#63254C22semidirect
240. C4×#63254C22semidirect
241. C2×C4×Dic34C22semidirect
242. C2×C4×D68C22semidirect
243. C2×C4×C22⋊D17C22semidirect
244. C2×C4×C22⋊D17C22semidirect
245. C2×C4×C22⋊D17C22semidirect
246. C2×C4×C22⋊D17C22semidirect
247. C4×D4×D17C22semidirect
248. C4×D4×D17C22semidirect
249. C4×D4×D17C22semidirect
250. C2×#10587558C22semidirect
251. C2×C42×D17C22semidirect
252. C22×#41×C17C22semidirect
253. C17×#537C22semidirect
254. C17×#537C22semidirect
255. C17×#536C22semidirect
256. C17×#536C22semidirect
257. C17×#535C22semidirect
258. C17×#535C22semidirect
259. C17×#534C22semidirect
260. C17×#534C22semidirect
261. C17×#532C22semidirect
262. C17×#532C22semidirect
263. C17×#532C22semidirect
264. C17×#525C22semidirect
265. C17×#525C22semidirect
266. C2×C17×#117C22semidirect
1188. #3449D17semidirect
1248. C22×#41C2×D17semidirect
1374. #537C2×D17semidirect
1375. #537C2×D17semidirect
1378. #536C2×D17semidirect
1379. #536C2×D17semidirect
1384. #535C2×D17semidirect
1385. #535C2×D17semidirect
1391. #534C2×D17semidirect
1392. #534C2×D17semidirect
1411. #532C2×D17semidirect
1412. #532C2×D17semidirect
1413. #532C2×D17semidirect
1455. #525C2×D17semidirect
1456. #525C2×D17semidirect
1479. C2×#117C2×D17semidirect
1962. C17#62748semidirect

Maximal subgroups

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

subgroupindex
#145433682
#145433602
#145433452
#145433332
#145433262
#145433112
#145433022
#145432962
#145432442
#145432162
#145431452
#145431102
#145430212
#145430012
#145429712
#145429632
#145429222
#145423862
#145423812
#145422702
#41×C22⋊D172
#145422022
#145421912
#145421742
#145421732
#145421112
#145420792
D17×#5322
C2×#117633372
C17×#34492
#6274817