Finite Group Databasebeta

← #17204500

Subgroups — #17204500

Order 4352.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763343C211yesmaximal, characteristic, complemented
2C2×#11763320C211yesmaximal, characteristic, complemented
3#14533928C211yesmaximal, characteristic, complemented
4#14533913C211yesmaximal, characteristic, complemented
5#14533898C211yesmaximal, characteristic, complemented
6#14533883C211yesmaximal, characteristic, complemented
7#14533868C211yesmaximal, characteristic, complemented
8#14533853C211yesmaximal, characteristic, complemented
9#14533844C211yesmaximal, characteristic, complemented
10#14533829C211yesmaximal, characteristic, complemented
11#14533795C211yesmaximal, characteristic, complemented
12#14533744C211yesmaximal, characteristic, complemented
13#14533715C211yesmaximal, characteristic, complemented
14#14533674C211yesmaximal, characteristic, complemented
15#14533110C211yesmaximal, characteristic, complemented
16#14532904C211yesmaximal, characteristic, complemented
17#14532335C211yesmaximal, characteristic, complemented
18#14532320C211yesmaximal, characteristic, complemented
19#14532058C211yesmaximal, characteristic, complemented
20#14532045C211yesmaximal, characteristic, complemented
21#14532028C211yesmaximal, characteristic, complemented
22#14532000C211yesmaximal, characteristic, complemented
23C4×#10587571C211yesmaximal, characteristic, complemented
24C4×#10587615C211yesmaximal, characteristic, complemented
25C4×#10587616C211yesmaximal, characteristic, complemented
26C4×#10587570C211yesmaximal, characteristic, complemented
27C4×#10587639C211yesmaximal, characteristic, complemented
28#14531270C211yesmaximal, characteristic, complemented
29#14531247C211yesmaximal, characteristic, complemented
30C42×C22⋊D17C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C17C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33#11763343—28no—
34C2×#10587562C2211yescharacteristic, complemented
35C2×#10587562C2211yescharacteristic, complemented
36C2×#10587556C2211yescharacteristic, complemented
37C2×#10587561C2211yescharacteristic, complemented
38C2×#10587571C2211yescharacteristic
39#11763320—28no—
40C2×#10587615C2211yescharacteristic
41C2×#10587615C2211yescharacteristic
42C2×#10587615C2211yescharacteristic
43C2×#10587615C2211yescharacteristic
44C2×#10587615C2211yescharacteristic
45C2×#10587610C2211yescharacteristic
46C2×#10587610C2211yescharacteristic
47C2×#10587610C2211yescharacteristic
48C2×#10587616C2211yescharacteristic
49C2×#10587616C2211yescharacteristic
50C2×#10587616C2211yescharacteristic
51C2×#10587616C2211yescharacteristic
52C2×#10587570C2211yescharacteristic
53C2×#10587639C2211yescharacteristic
54C2×#10587639C2211yescharacteristic
55C2×#10587639C2211yescharacteristic
56C2×C4×Dic34C2211yescharacteristic, complemented
57C2×C4×D68C2211yescharacteristic, complemented
58C2×C4×D68C2211yescharacteristic, complemented
59C2×C4×C22⋊D17C2211yescharacteristic
60C2×C4×C22⋊D17C2211yescharacteristic
61C2×C4×C22⋊D17C2211yescharacteristic
62C2×C4×C22⋊D17C2211yescharacteristic
63C2×C4×C22⋊D17C2211yescharacteristic
64C2×C4×C22⋊D17C2211yescharacteristic
65C2×C4×C22⋊D17C2211yescharacteristic
66C2×C4×C22⋊D17C2211yescharacteristic
67C2×C4×C22⋊D17C2211yescharacteristic
68C2×#10587612C2211yescharacteristic
69C2×#10587558C2211yescharacteristic, complemented
70C2×#10587558C2211yescharacteristic, complemented
71C2×C42×D17C2211yescharacteristic, complemented
72#11762751C2211yescharacteristic, complemented
73#11762750C2211yescharacteristic, complemented
74#11762745C2211yescharacteristic
75#11762745C2211yescharacteristic
76#11762743C2211yescharacteristic, complemented
77#11762743C2211yescharacteristic, complemented
78#11762743C2211yescharacteristic, complemented
79#11762741C2211yescharacteristic, complemented
80#11762738C2211yescharacteristic, complemented
81#11762738C2211yescharacteristic, complemented
82#11762737C2211yescharacteristic
83#11762736C2211yescharacteristic, complemented
84#11762733C2211yescharacteristic, complemented
85#11762732C2211yescharacteristic
86#11762732C2211yescharacteristic
87#11762732C2211yescharacteristic
88#11762730C2211yescharacteristic, complemented
89#11762730C2211yescharacteristic, complemented
90#11762727C2211yescharacteristic, complemented
91#11762727C2211yescharacteristic, complemented
92#11762725C2211yescharacteristic
93#11762725C2211yescharacteristic
94#11762725C2211yescharacteristic
95#11762724C2211yescharacteristic
96#11762724C2211yescharacteristic
97#11762724C2211yescharacteristic
98#11762722C2211yescharacteristic, complemented
99#11762721C2211yescharacteristic
100#11762719C2211yescharacteristic, complemented
101#11762718C2211yescharacteristic
102#11762718C2211yescharacteristic
103#11762718C2211yescharacteristic
104#11762713C2211yescharacteristic, complemented
105#11762713C2211yescharacteristic, complemented
106#11762713C2211yescharacteristic, complemented
107#11762711C2211yescharacteristic, complemented
108#11762709C2211yescharacteristic
109#11762709C2211yescharacteristic
110#11762709C2211yescharacteristic
111#11762709C2211yescharacteristic
112#11762709C2211yescharacteristic
113#11762709C2211yescharacteristic
114#11762707C2211yescharacteristic, complemented
115#11762706C2211yescharacteristic, complemented
116#11762706C2211yescharacteristic, complemented
117#11762706C2211yescharacteristic, complemented
118#11762702C2211yescharacteristic
119#11762702C2211yescharacteristic
120#11762701C2211yescharacteristic, complemented
121#11762701C2211yescharacteristic, complemented
122#11762701C2211yescharacteristic, complemented
123#11762700C2211yescharacteristic, complemented
124#11762700C2211yescharacteristic, complemented
125#11762700C2211yescharacteristic, complemented
126#11762700C2211yescharacteristic, complemented
127#11762698C2211yescharacteristic, complemented
128#11762698C2211yescharacteristic, complemented
129#11762697C2211yescharacteristic
130#11762697C2211yescharacteristic
131#11762697C2211yescharacteristic
132#11762693C2211yescharacteristic, complemented
133#11762693C2211yescharacteristic, complemented
134#11762688C2211yescharacteristic
135#11762688C2211yescharacteristic
136#11762688C2211yescharacteristic
137#11762688C2211yescharacteristic
138#11762688C2211yescharacteristic
139#11762688C2211yescharacteristic
140#11762687C2211yescharacteristic, complemented
141#11762687C2211yescharacteristic, complemented
142#11762687C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic
144#11762685C2211yescharacteristic
145#11762685C2211yescharacteristic
146#11762682C2211yescharacteristic
147#11762682C2211yescharacteristic
148#11762682C2211yescharacteristic
149#11762682C2211yescharacteristic
150#11762673C2211yescharacteristic, complemented
151#11762672C2211yescharacteristic
152#11762669C2211yescharacteristic
153#11762668C2211yescharacteristic, complemented
154#11762665C2211yescharacteristic
155C4×#63225C2211yescharacteristic, complemented
156C4×#63225C2211yescharacteristic, complemented
157C4×#63225C2211yescharacteristic, complemented
158C4×#63225C2211yescharacteristic, complemented
159C4×#63225C2211yescharacteristic, complemented
160C4×C4⋊Dic17C2211yescharacteristic, complemented
161C4×#63227C2211yescharacteristic, complemented
162C4×#63227C2211yescharacteristic, complemented
163C4×#63227C2211yescharacteristic, complemented
164C4×#63227C2211yescharacteristic, complemented
165C4×#63227C2211yescharacteristic, complemented
166C4×#63227C2211yescharacteristic, complemented
167C4×#63227C2211yescharacteristic, complemented
168C4×C22⋊Dic17C2211yescharacteristic
169C4×C22⋊Dic17C2211yescharacteristic
170C4×C22⋊Dic17C2211yescharacteristic
171C4×C22⋊Dic17C2211yescharacteristic
172C4×C22⋊Dic17C2211yescharacteristic
173C42×Dic17C2211yescharacteristic, complemented
174C24×C4×C17C2211yescharacteristic
175C22×C22⋊C4×C17C2211yescharacteristic
176C22×C22⋊C4×C17C2211yescharacteristic
177C22×C42×C17C2211yescharacteristic
178C22×C42×C17C2211yescharacteristic
179C4×C22⋊C4×C17C2211yescharacteristic
180C4×C22⋊C4×C17C2211yescharacteristic
181C4×C22⋊C4×C17C2211yescharacteristic
182C4×C22⋊C4×C17C2211yescharacteristic
183C4×C22⋊C4×C17C2211yescharacteristic
184C4×C22⋊C4×C17C2211yescharacteristic
185C4×C22⋊C4×C17C2211yescharacteristic
186C4×C22⋊C4×C17C2211yescharacteristic
187C2×C17×#95C2211yescharacteristic
188C2×C17×#95C2211yescharacteristic
189C25×C17C2311yescharacteristic
190C23×C4×C17—24no—
191C23×C4×C17—24no—
192C23×C4×C17—42no—
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C2×#63252—24no—
213C2×#63252—24no—
214C2×#63252—42no—
215C22×D68C2311yescharacteristic
216C22×D68C2311yescharacteristic
217C22×D68C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×Dic34C2311yescharacteristic
224C22×Dic34C2311yescharacteristic
225C2×C22⋊C4×C17—24no—
226C2×C22⋊C4×C17—24no—
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C42×C17—24no—
236C2×C42×C17—42no—
237C2×C42×C17C2311yescharacteristic
238C2×C42×C17C2311yescharacteristic
239C2×C42×C17C2311yescharacteristic
240C2×C42×C17C2311yescharacteristic
241C2×C42×C17C2311yescharacteristic
242C2×C42×C17C2311yescharacteristic
243C2×C42×C17C2311yescharacteristic
244C2×C42×C17C2311yescharacteristic
245#10587639—24no—
246#10587639—24no—
247#10587639—24no—
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263#10587616—24no—
264#10587616—24no—
265#10587616—24no—
266#10587616—24no—
267#10587615—24no—
268#10587615—24no—
269#10587615—24no—
270#10587615—24no—
271#10587615—24no—
272C4×C22⋊D17—24no—
273C4×C22⋊D17—24no—
274C4×C22⋊D17—24no—
275C4×C22⋊D17—24no—
276C4×C22⋊D17—24no—
277C4×C22⋊D17—24no—
278C4×C22⋊D17—24no—
279C4×C22⋊D17—42no—
280C4×C22⋊D17D418yescomplemented
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306#10587612—24no—
307C2×C4⋊Dic17C2311yescharacteristic
308C2×C4⋊Dic17C2311yescharacteristic
309C2×C4⋊Dic17C2311yescharacteristic
310C2×C4⋊Dic17C2311yescharacteristic
311C2×C4⋊Dic17C2311yescharacteristic
312C2×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314#10587610—24no—
315#10587610—24no—
316#10587610—24no—
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×#63225C2311yescharacteristic
332C2×#63225C2311yescharacteristic
333C2×#63225C2311yescharacteristic
334C2×#63225C2311yescharacteristic
335C2×#63225C2311yescharacteristic
336C2×C4×Dic17C2311yescharacteristic
337C2×C4×Dic17C2311yescharacteristic
338C2×C4×Dic17C2311yescharacteristic
339C2×C4×Dic17C2311yescharacteristic
340C2×C4×Dic17C2311yescharacteristic
341C2×C4×Dic17C2311yescharacteristic
342C2×C4×Dic17C2311yescharacteristic
343C2×C4×Dic17C2311yescharacteristic
344C2×C4×Dic17C2311yescharacteristic
345C2×C4×Dic17C2311yescharacteristic
346C2×C4×Dic17C2311yescharacteristic
347#10587571—24no—
348#10587570—24no—
349#10587562—24no—
350#10587562—24no—
351#10587561—24no—
352C4×D68—24no—
353C4×D68—42no—
354#10587558—24no—
355#10587558—24no—
356C42×D17—42no—
357#10587556—24no—
358C4×Dic34—24no—
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17—22no—
392C24×C17—22no—
393C24×C17—22no—
394C24×C17—22no—
395C24×C17—22no—
396C24×C17—41no—
397C24×C17—41no—
398C24×C17C2411yescharacteristic
399C24×C17C2411yescharacteristic
400C24×C17C2411yescharacteristic
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403C23×D17C2411yescharacteristic
404C22×C4×C17—22no—
405C22×C4×C17—22no—
406C22×C4×C17—22no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—22no—
410C22×C4×C17—22no—
411C22×C4×C17—22no—
412C22×C4×C17—22no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—22no—
420C22×C4×C17—22no—
421C22×C4×C17—22no—
422C22×C4×C17—22no—
423C22×C4×C17—22no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17—41no—
427C22×C4×C17—41no—
428C22×C4×C17—41no—
429C22×C4×C17—41no—
430C22×C4×C17—41no—
431C22×C4×C17—416no—
432C22×C4×C17C2×D414yes—
433C22×C4×C17#4114yes—
434C22×C4×C17#4114yescomplemented
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C22×C4×C17C2411yescharacteristic
442C22×C4×C17C2411yescharacteristic
443C22×C4×C17C2411yescharacteristic
444C22×C4×C17C2411yescharacteristic
445C22×C4×C17C2411yescharacteristic
446C22×C4×C17C2411yescharacteristic
447C2×C22⋊D17—22no—
448C2×C22⋊D17—22no—
449C2×C22⋊D17—22no—
450C2×C22⋊D17—22no—
451C2×C22⋊D17—22no—
452C2×C22⋊D17—22no—
453C2×C22⋊D17—22no—
454C2×C22⋊D17—22no—
455C2×C22⋊D17—22no—
456C2×C22⋊D17—22no—
457C2×C22⋊D17—22no—
458C2×C22⋊D17—22no—
459C2×C22⋊D17—22no—
460C2×C22⋊D17—22no—
461C2×C22⋊D17—22no—
462C2×C22⋊D17—22no—
463C2×C22⋊D17—22no—
464C2×C22⋊D17—22no—
465C2×C22⋊D17—22no—
466C2×C22⋊D17—22no—
467C2×C22⋊D17—41no—
468C2×C22⋊D17—41no—
469C2×C22⋊D17—41no—
470C2×C22⋊D17—41no—
471C2×C22⋊D17—41no—
472C2×C22⋊D17—41no—
473C2×C22⋊D17C2×D414yes—
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484C22×Dic17C2411yescharacteristic
485C22×Dic17C2411yescharacteristic
486C22×Dic17C2411yescharacteristic
487#63252—416no—
488C2×D68—22no—
489C2×D68—22no—
490C2×D68—22no—
491C2×D68—22no—
492C2×D68—22no—
493C2×D68—41no—
494C2×D68—41no—
495C2×D68—41no—
496C2×D68—41no—
497C2×C4×D17—22no—
498C2×C4×D17—22no—
499C2×C4×D17—22no—
500C2×C4×D17—22no—
501C2×C4×D17—22no—
502C2×C4×D17—22no—
503C2×C4×D17—22no—
504C2×C4×D17—22no—
505C2×C4×D17—22no—
506C2×C4×D17—22no—
507C2×C4×D17—22no—
508C2×C4×D17—41no—
509C2×C4×D17—41no—
510C2×C4×D17—41no—
511C2×C4×D17C2×D414yes—
512C2×Dic34—22no—
513C2×Dic34—22no—
514C2×Dic34—22no—
515C2×Dic34—22no—
516C2×Dic34—41no—
517C2×Dic34—41no—
518C22⋊C4×C17—22no—
519C22⋊C4×C17—22no—
520C22⋊C4×C17—22no—
521C22⋊C4×C17—22no—
522C22⋊C4×C17—22no—
523C22⋊C4×C17—22no—
524C22⋊C4×C17—22no—
525C22⋊C4×C17#4114yescomplemented
526C42×C17—22no—
527C42×C17—22no—
528C42×C17—22no—
529C42×C17—22no—
530C42×C17—22no—
531C42×C17—22no—
532C42×C17—41no—
533C42×C17—41no—
534C22⋊Dic17—22no—
535C22⋊Dic17—22no—
536C22⋊Dic17—22no—
537C22⋊Dic17—22no—
538C22⋊Dic17—22no—
539C22⋊Dic17—22no—
540C22⋊Dic17—22no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—22no—
544C22⋊Dic17—22no—
545C22⋊Dic17—41no—
546C22⋊Dic17—41no—
547C22⋊Dic17C2×D414yes—
548C22⋊Dic17#4114yescomplemented
549#63227—22no—
550#63227—22no—
551#63227—22no—
552#63227—22no—
553#63227—22no—
554#63227—22no—
555#63227—22no—
556#63227—22no—
557#63227—22no—
558#63227—22no—
559#63227—22no—
560#63227—22no—
561#63227—22no—
562#63227—22no—
563#63227—22no—
564#63227—22no—
565#63227—22no—
566#63227—22no—
567#63227—22no—
568#63227—22no—
569#63227—41no—
570#63227—41no—
571#63227—41no—
572#63227—41no—
573#63227C2×D414yes—
574C4⋊Dic17—22no—
575C4⋊Dic17—22no—
576C4⋊Dic17—22no—
577C4⋊Dic17—22no—
578C4⋊Dic17—22no—
579C4⋊Dic17—41no—
580C4⋊Dic17—41no—
581#63225—22no—
582#63225—22no—
583#63225—22no—
584#63225—22no—
585#63225—22no—
586#63225—22no—
587#63225—22no—
588#63225—22no—
589#63225—22no—
590#63225—22no—
591#63225—22no—
592#63225—22no—
593#63225—22no—
594#63225—22no—
595#63225—22no—
596#63225—22no—
597#63225—41no—
598#63225—41no—
599#63225C2×D414yes—
600C4×Dic17—22no—
601C4×Dic17—22no—
602C4×Dic17—22no—
603C4×Dic17—22no—
604C4×Dic17—22no—
605C4×Dic17—22no—
606C4×Dic17—22no—
607C4×Dic17—41no—
608C4×Dic17—41no—
609C4×Dic17—41no—
610C4×Dic17C2×D414yes—
611#34829—171nomaximal, Sylow
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—28no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—44no—
630C23×C17—44no—
631C23×C17—44no—
632C23×C17—44no—
633C23×C17—44no—
634C23×C17—44no—
635C23×C17C22×D412yes—
636C23×C17C2×#4112yes—
637C23×C17C2×#4112yes—
638C23×C17C2×#4112yes—
639C23×C17C2×#4112yes—
640C23×C17C2511yescharacteristic
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—21no—
657C22×D17—21no—
658C22×D17—21no—
659C22×D17—21no—
660C22×D17—21no—
661C22×D17C22×D412yes—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—28no—
675C2×C4×C17—28no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—44no—
692C2×C4×C17—44no—
693C2×C4×C17—44no—
694C2×C4×C17—44no—
695C2×C4×C17—44no—
696C2×C4×C17—44no—
697C2×C4×C17—44no—
698C2×C4×C17—44no—
699C2×C4×C17C22×D412yes—
700C2×C4×C17C22×D412yes—
701C2×C4×C17C2×#4112yes—
702C2×C4×C17C2×#4112yes—
703C2×C4×C17C2×#4112yes—
704C2×C4×C17C2×#4112yes—
705C2×C4×C17C2×#4112yes—
706C2×C4×C17C2×#4112yes—
707C2×C4×C17H(5,𝔽2)12yes—
708C22⋊D17—28no—
709C22⋊D17—44no—
710C22⋊D17—44no—
711C22⋊D17—44no—
712C22⋊D17—44no—
713C22⋊D17—44no—
714C22⋊D17—44no—
715C22⋊D17—44no—
716C22⋊D17—44no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17C22×D412yes—
752C2×Dic17C22×D412yes—
753C2×Dic17C22×D412yes—
754C2×Dic17C2×#4112yes—
755C2×Dic17C2×#4112yes—
756D68—44no—
757D68—44no—
758D68—44no—
759C4×D17—28no—
760C4×D17—44no—
761C4×D17—44no—
762C4×D17—44no—
763C4×D17—44no—
764Dic34—44no—
765Dic34—44no—
766C2×#529—171no—
767C2×#525—171no—
768#2560—171no—
769#2559—171no—
770#2558—171no—
771#2557—171no—
772#2556—171no—
773#2555—171no—
774#2554—171no—
775#2553—171no—
776#2549—171no—
777#2543—171no—
778#2539—171no—
779#2534—171no—
780#2488—171no—
781#2472—171no—
782#2425—171no—
783#2424—171no—
784#2396—171no—
785#2395—171no—
786#2392—171no—
787#2388—171no—
788C4×#124—171no—
789C4×#123—171no—
790C4×#121—171no—
791C4×#121—171no—
792C4×#120—171no—
793#2297—171no—
794#2293—171no—
795C42×D4—171no—
796C2×C4×C22⋊C4D1711yescharacteristic, complemented
797C22×C17—22no—
798C22×C17—22no—
799C22×C17—22no—
800C22×C17—22no—
801C22×C17—22no—
802C22×C17—22no—
803C22×C17—22no—
804C22×C17—22no—
805C22×C17—22no—
806C22×C17—22no—
807C22×C17—22no—
808C22×C17—22no—
809C22×C17—416no—
810C22×C17—41no—
811C22×C17—41no—
812C22×C17—41no—
813C22×C17—41no—
814C22×C17—41no—
815C22×C17—41no—
816C22×C17—41no—
817C22×C17—41no—
818C22×C17#53214yes—
819C22×C17C23×D411yescharacteristic
820C22×C17C22×#4111yescharacteristic
821C22×C17C22×#4111yescharacteristic
822C22×C17C22×#4111yescharacteristic
823C22×C17C22×#4111yescharacteristic
824C22×C17C2×H(5,𝔽2)11yescharacteristic
825C22×C17#58511yescharacteristic
826C2×D17—22no—
827C2×D17—22no—
828C2×D17—22no—
829C2×D17—41no—
830C2×D17—41no—
831C2×D17—41no—
832C2×D17—41no—
833C2×D17—41no—
834C2×D17—41no—
835C2×D17—41no—
836C2×D17—41no—
837C2×D17—41no—
838C2×D17—41no—
839C2×D17—41no—
840C2×D17—41no—
841C2×D17—41no—
842C2×D17—41no—
843C2×D17—41no—
844C2×D17—41no—
845C2×D17—41no—
846C2×D17—41no—
847C4×C17—22no—
848C4×C17—22no—
849C4×C17—22no—
850C4×C17—22no—
851C4×C17—22no—
852C4×C17—22no—
853C4×C17—41no—
854C4×C17—41no—
855C4×C17—41no—
856C4×C17—41no—
857C4×C17—41no—
858C4×C17#54614yes—
859Dic17—22no—
860Dic17—22no—
861Dic17—22no—
862Dic17—22no—
863Dic17—22no—
864Dic17—41no—
865Dic17—41no—
866Dic17—41no—
867Dic17—41no—
868Dic17—41no—
869Dic17—41no—
870Dic17—41no—
871Dic17—41no—
872C22×#41—171no—
873C24×C4C2×D1711yescharacteristic
874#529—348no—
875C2×#126—171no—
876C2×#126—171no—
877C2×#125—171no—
878C2×#124—171no—
879C2×#124—171no—
880#525—348no—
881C2×#123—171no—
882C2×#123—171no—
883C2×#123—171no—
884C2×#123—171no—
885C2×#123—171no—
886C2×C22⋊Q8—171no—
887C2×C22⋊Q8—171no—
888C2×C22⋊Q8—171no—
889C2×#121—171no—
890C2×#121—171no—
891C2×#121—171no—
892C2×#121—171no—
893C2×#121—171no—
894C2×#120—171no—
895C2×#120—171no—
896C2×#120—171no—
897C2×C4×Q8—171no—
898C2×C4×D4—171no—
899C2×C4×D4—171no—
900C2×C4×D4—171no—
901C2×C4×D4—171no—
902C2×C4×D4—171no—
903C2×C4×D4—171no—
904C2×C4×D4—171no—
905C2×C4×D4—171no—
906C2×C4×D4—171no—
907C2×C4×D4—171no—
908C2×C4×D4—171no—
909C2×#117—171no—
910C2×#117—171no—
911C2×#117—171no—
912C22×C22⋊C4C2×D1711yescharacteristic
913C22×C22⋊C4C2×D1711yescharacteristic
914C22×C42—171no—
915C22×C42C2×D1711yescharacteristic
916C22×C42C2×D1711yescharacteristic
917#400—171no—
918#400—171no—
919#399—171no—
920#399—171no—
921#398—171no—
922#398—171no—
923#398—171no—
924#398—171no—
925#397—171no—
926#397—171no—
927#397—171no—
928#397—171no—
929#396—171no—
930#396—171no—
931#396—171no—
932#396—171no—
933#395—171no—
934#395—171no—
935#394—171no—
936#394—171no—
937#394—171no—
938#394—171no—
939#394—171no—
940#394—171no—
941#394—171no—
942#394—171no—
943#393—171no—
944#393—171no—
945#392—171no—
946#392—171no—
947#392—171no—
948#392—171no—
949#391—171no—
950#391—171no—
951#391—171no—
952#390—171no—
953#390—171no—
954#390—171no—
955#390—171no—
956#390—171no—
957#390—171no—
958#390—171no—
959#389—171no—
960#389—171no—
961#389—171no—
962#389—171no—
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#388—171no—
968#388—171no—
969#388—171no—
970#388—171no—
971#388—171no—
972#388—171no—
973#388—171no—
974#388—171no—
975#388—171no—
976#388—171no—
977#387—171no—
978#387—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386—171no—
985#386—171no—
986#386—171no—
987#386—171no—
988#386—171no—
989#386—171no—
990#386—171no—
991#385—171no—
992#385—171no—
993#385—171no—
994#385—171no—
995#382—171no—
996#381—171no—
997#380—171no—
998#380—171no—
999#379—171no—
1000C4×C4⋊C4—171no—
1001C4×C4⋊C4—171no—
1002C4×C4⋊C4—171no—
1003C4×C4⋊C4—171no—
1004C4×C4⋊C4—171no—
1005C4×C4⋊C4—171no—
1006C4×C22⋊C4—171no—
1007C4×C22⋊C4—171no—
1008C4×C22⋊C4—171no—
1009C4×C22⋊C4—171no—
1010C4×C22⋊C4—171no—
1011C4×C22⋊C4—171no—
1012C4×C22⋊C4—171no—
1013C4×C22⋊C4—171no—
1014C4×C22⋊C4—171no—
1015C4×C22⋊C4—171no—
1016C4×C22⋊C4—171no—
1017C4×C22⋊C4—171no—
1018C4×C22⋊C4C2×D1711yescharacteristic
1019C4×C22⋊C4C2×D1711yescharacteristic
1020C4×C22⋊C4C2×D1711yescharacteristic
1021C4×C22⋊C4C2×D1711yescharacteristic
1022C4×C22⋊C4C2×D1711yescharacteristic
1023C4×C22⋊C4C2×D1711yescharacteristic
1024C4×C22⋊C4C2×D1711yescharacteristic
1025C4×C22⋊C4C2×D1711yescharacteristic
1026C2×#95C2×D1711yescharacteristic
1027C2×#95C2×D1711yescharacteristic
1028C43—171no—
1029C2×C17—24no—
1030C2×C17—42no—
1031C2×C17—42no—
1032C2×C17C2×#53211yescharacteristic
1033C2×C17#344411yescharacteristic
1034C2×C17#345911yescharacteristic
1035C2×C17C2×#54611yescharacteristic
1036C2×C17D4×#4111yescharacteristic
1037C2×C17#347511yescharacteristic
1038C2×C17#348111yescharacteristic
1039D17—42no—
1040D17—81no—
1041D17—81no—
1042C25C22×D1711yescharacteristic
1043C2×#41—344no—
1044C2×#41—344no—
1045C2×#41—682no—
1046C22×Q8—171no—
1047C22×Q8—171no—
1048C22×D4—171no—
1049C22×D4—171no—
1050C22×D4—171no—
1051C22×D4—171no—
1052C22×D4—171no—
1053C22×D4—171no—
1054C22×D4—171no—
1055C22×D4—171no—
1056C22×D4—171no—
1057C22×D4—171no—
1058C22×D4—171no—
1059C22×D4—171no—
1060C23×C4—24no—
1061C23×C4—24no—
1062C23×C4—42no—
1063C23×C4—171no—
1064C23×C4—171no—
1065C23×C4—171no—
1066C23×C4—171no—
1067C23×C4—171no—
1068C23×C4C22×D1711yescharacteristic
1069C23×C4C22×D1711yescharacteristic
1070C23×C4C22×D1711yescharacteristic
1071C23×C4C22×D1711yescharacteristic
1072C23×C4C22×D1711yescharacteristic
1073C23×C4C22×D1711yescharacteristic
1074C23×C4C22×D1711yescharacteristic
1075C23×C4C22×D1711yescharacteristic
1076C23×C4C22×D1711yescharacteristic
1077C23×C4C22×D1711yescharacteristic
1078#126—344no—
1079#126—344no—
1080#125—344no—
1081#124—344no—
1082#124—344no—
1083#123—344no—
1084#123—344no—
1085#123—344no—
1086#123—344no—
1087#123—344no—
1088C22⋊Q8—344no—
1089C22⋊Q8—344no—
1090C22⋊Q8—344no—
1091#121—344no—
1092#121—344no—
1093#121—344no—
1094#121—344no—
1095#121—344no—
1096#120—344no—
1097#120—344no—
1098#120—344no—
1099C4×Q8—344no—
1100C4×D4—178no—
1101C4×D4—344no—
1102C4×D4—344no—
1103C4×D4—344no—
1104C4×D4—344no—
1105C4×D4—344no—
1106C4×D4—344no—
1107C4×D4—344no—
1108C4×D4—344no—
1109C4×D4—682no—
1110C4×D4—682no—
1111#117—344no—
1112#117—344no—
1113#117—344no—
1114C2×C4⋊C4—171no—
1115C2×C4⋊C4—171no—
1116C2×C4⋊C4—171no—
1117C2×C4⋊C4—171no—
1118C2×C4⋊C4—171no—
1119C2×C4⋊C4—171no—
1120C2×C4⋊C4—171no—
1121C2×C4⋊C4—171no—
1122C2×C4⋊C4—171no—
1123C2×C4⋊C4—171no—
1124C2×C4⋊C4—171no—
1125C2×C4⋊C4—171no—
1126C2×C4⋊C4—171no—
1127C2×C4⋊C4—171no—
1128C2×C4⋊C4—171no—
1129C2×C4⋊C4—171no—
1130C2×C4⋊C4—171no—
1131C2×C4⋊C4—171no—
1132C2×C4⋊C4—171no—
1133C2×C4⋊C4—171no—
1134C2×C4⋊C4—171no—
1135C2×C4⋊C4—171no—
1136C2×C4⋊C4—171no—
1137C2×C4⋊C4—171no—
1138C2×C4⋊C4—171no—
1139C2×C4⋊C4—171no—
1140C2×C22⋊C4—24no—
1141C2×C22⋊C4—24no—
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—171no—
1146C2×C22⋊C4—171no—
1147C2×C22⋊C4—171no—
1148C2×C22⋊C4—171no—
1149C2×C22⋊C4—171no—
1150C2×C22⋊C4—171no—
1151C2×C22⋊C4—171no—
1152C2×C22⋊C4—171no—
1153C2×C22⋊C4—171no—
1154C2×C22⋊C4—171no—
1155C2×C22⋊C4—171no—
1156C2×C22⋊C4—171no—
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4C22×D1711yescharacteristic
1183C2×C22⋊C4C22×D1711yescharacteristic
1184C2×C22⋊C4C22×D1711yescharacteristic
1185C2×C22⋊C4C22×D1711yescharacteristic
1186C2×C22⋊C4C22×D1711yescharacteristic
1187C2×C22⋊C4C22×D1711yescharacteristic
1188C2×C22⋊C4C22×D1711yescharacteristic
1189C2×C22⋊C4C22×D1711yescharacteristic
1190C2×C42—24no—
1191C2×C42—42no—
1192C2×C42—171no—
1193C2×C42—171no—
1194C2×C42—171no—
1195C2×C42—171no—
1196C2×C42—171no—
1197C2×C42—171no—
1198C2×C42—171no—
1199C2×C42—171no—
1200C2×C42—171no—
1201C2×C42—171no—
1202C2×C42—171no—
1203C2×C42—682no—
1204C2×C42C22×D1711yescharacteristic
1205C2×C42C22×D1711yescharacteristic
1206C2×C42C22×D1711yescharacteristic
1207C2×C42C22×D1711yescharacteristic
1208C2×C42C22×D1711yescharacteristic
1209C2×C42C22×D1711yescharacteristic
1210C2×C42C22×D1711yescharacteristic
1211C2×C42C22×D1711yescharacteristic
1212#95—171no—
1213#95—171no—
1214#95—171no—
1215#95—171no—
1216#95—171no—
1217#95—171no—
1218#95—171no—
1219#95—171no—
1220#95—171no—
1221#95—171no—
1222#95—171no—
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95C22×D1711yescharacteristic
1237#95C22×D1711yescharacteristic
1238#95C22×D1711yescharacteristic
1239#95C22×D1711yescharacteristic
1240#95C22×D1711yescharacteristic
1241#95C22×D1711yescharacteristic
1242#95C22×D1711yescharacteristic
1243#95C22×D1711yescharacteristic
1244C17#3482911yescharacteristic, complemented, Sylow
1245C24—22no—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—22no—
1250C24—41no—
1251C24—41no—
1252C24—171no—
1253C24—171no—
1254C24—171no—
1255C24C23×D1711yescharacteristic
1256C24C23×D1711yescharacteristic
1257C24C23×D1711yescharacteristic
1258#41—6816no—
1259C2×Q8—342no—
1260C2×Q8—342no—
1261C2×Q8—342no—
1262C2×Q8—342no—
1263C2×Q8—681no—
1264C2×Q8—681no—
1265C2×D4—174no—
1266C2×D4—342no—
1267C2×D4—342no—
1268C2×D4—342no—
1269C2×D4—342no—
1270C2×D4—342no—
1271C2×D4—342no—
1272C2×D4—342no—
1273C2×D4—342no—
1274C2×D4—342no—
1275C2×D4—342no—
1276C2×D4—342no—
1277C2×D4—342no—
1278C2×D4—342no—
1279C2×D4—342no—
1280C2×D4—342no—
1281C2×D4—342no—
1282C2×D4—342no—
1283C2×D4—342no—
1284C2×D4—342no—
1285C2×D4—342no—
1286C2×D4—342no—
1287C2×D4—342no—
1288C2×D4—342no—
1289C2×D4—342no—
1290C2×D4—342no—
1291C2×D4—681no—
1292C2×D4—681no—
1293C2×D4—681no—
1294C2×D4—681no—
1295C2×D4—681no—
1296C2×D4—681no—
1297C2×D4—681no—
1298C2×D4—681no—
1299C2×D4—681no—
1300C2×D4—681no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—416no—
1329C22×C4—171no—
1330C22×C4—171no—
1331C22×C4—171no—
1332C22×C4—171no—
1333C22×C4—171no—
1334C22×C4—174no—
1335C22×C4—171no—
1336C22×C4—171no—
1337C22×C4—171no—
1338C22×C4—171no—
1339C22×C4—171no—
1340C22×C4—171no—
1341C22×C4—171no—
1342C22×C4—171no—
1343C22×C4—342no—
1344C22×C4—342no—
1345C22×C4—342no—
1346C22×C4—342no—
1347C22×C4—342no—
1348C22×C4—342no—
1349C22×C4—342no—
1350C22×C4—342no—
1351C22×C4—342no—
1352C22×C4—342no—
1353C22×C4—342no—
1354C22×C4—681no—
1355C22×C4—681no—
1356C22×C4—681no—
1357C22×C4#6325214yes—
1358C22×C4#6325214yescomplemented
1359C22×C4D4×D1714yes—
1360C22×C4C23×D1711yescharacteristic
1361C22×C4C23×D1711yescharacteristic
1362C22×C4C23×D1711yescharacteristic
1363C22×C4C23×D1711yescharacteristic
1364C22×C4C23×D1711yescharacteristic
1365C22×C4C23×D1711yescharacteristic
1366C22×C4C23×D1711yescharacteristic
1367C22×C4C23×D1711yescharacteristic
1368C22×C4C23×D1711yescharacteristic
1369C22×C4C23×D1711yescharacteristic
1370C22×C4C23×D1711yescharacteristic
1371C22×C4C23×D1711yescharacteristic
1372C4⋊C4—174no—
1373C4⋊C4—342no—
1374C4⋊C4—342no—
1375C4⋊C4—342no—
1376C4⋊C4—342no—
1377C4⋊C4—342no—
1378C4⋊C4—342no—
1379C4⋊C4—342no—
1380C4⋊C4—342no—
1381C4⋊C4—342no—
1382C4⋊C4—342no—
1383C4⋊C4—342no—
1384C4⋊C4—342no—
1385C4⋊C4—342no—
1386C4⋊C4—342no—
1387C4⋊C4—342no—
1388C4⋊C4—342no—
1389C4⋊C4—342no—
1390C4⋊C4—342no—
1391C4⋊C4—342no—
1392C4⋊C4—342no—
1393C4⋊C4—342no—
1394C4⋊C4—681no—
1395C4⋊C4—681no—
1396C4⋊C4—681no—
1397C4⋊C4—681no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—174no—
1406C22⋊C4—174no—
1407C22⋊C4—174no—
1408C22⋊C4—342no—
1409C22⋊C4—342no—
1410C22⋊C4—342no—
1411C22⋊C4—342no—
1412C22⋊C4—342no—
1413C22⋊C4—342no—
1414C22⋊C4—342no—
1415C22⋊C4—342no—
1416C22⋊C4—342no—
1417C22⋊C4—342no—
1418C22⋊C4—342no—
1419C22⋊C4—342no—
1420C22⋊C4—342no—
1421C22⋊C4—342no—
1422C22⋊C4—342no—
1423C22⋊C4—342no—
1424C22⋊C4—342no—
1425C22⋊C4—342no—
1426C22⋊C4—342no—
1427C22⋊C4—342no—
1428C22⋊C4—342no—
1429C22⋊C4—342no—
1430C22⋊C4—342no—
1431C22⋊C4—342no—
1432C22⋊C4—342no—
1433C22⋊C4—342no—
1434C22⋊C4—342no—
1435C22⋊C4—342no—
1436C22⋊C4—342no—
1437C22⋊C4—342no—
1438C22⋊C4—342no—
1439C22⋊C4—681no—
1440C22⋊C4—681no—
1441C22⋊C4—681no—
1442C22⋊C4—681no—
1443C22⋊C4—681no—
1444C22⋊C4—681no—
1445C22⋊C4#6325214yescomplemented
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—41no—
1453C42—41no—
1454C42—174no—
1455C42—342no—
1456C42—342no—
1457C42—342no—
1458C42—342no—
1459C42—342no—
1460C42—342no—
1461C42—342no—
1462C42—681no—
1463C42—681no—
1464C42—681no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—28no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—172no—
1489C23—341no—
1490C23—341no—
1491C23—341no—
1492C23—341no—
1493C23—341no—
1494C23—341no—
1495C23—341no—
1496C23—341no—
1497C23—341no—
1498C23—341no—
1499C23—341no—
1500C23—341no—
1501C23—341no—
1502C23—341no—
1503C23—341no—
1504C23—341no—
1505C23—341no—
1506C23—341no—
1507C23—341no—
1508C23—341no—
1509C23C2×#6325212yes—
1510C23C2×#6325212yes—
1511C23C2×#6325212yes—
1512C23C2×D4×D1712yes—
1513C23#41×D1712yes—
1514C23C24×D1711yescharacteristic
1515Q8—684no—
1516Q8—684no—
1517D4—348no—
1518D4—684no—
1519D4—684no—
1520D4—684no—
1521D4—684no—
1522D4—684no—
1523D4—684no—
1524D4—684no—
1525D4—684no—
1526D4—684no—
1527D4—684no—
1528D4—684no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—28no—
1542C2×C4—28no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—172no—
1567C2×C4—172no—
1568C2×C4—172no—
1569C2×C4—172no—
1570C2×C4—172no—
1571C2×C4—341no—
1572C2×C4—341no—
1573C2×C4—341no—
1574C2×C4—341no—
1575C2×C4—341no—
1576C2×C4—341no—
1577C2×C4—341no—
1578C2×C4—341no—
1579C2×C4—341no—
1580C2×C4—341no—
1581C2×C4—348no—
1582C2×C4—341no—
1583C2×C4—341no—
1584C2×C4—341no—
1585C2×C4—341no—
1586C2×C4—341no—
1587C2×C4—341no—
1588C2×C4—341no—
1589C2×C4—341no—
1590C2×C4—341no—
1591C2×C4—341no—
1592C2×C4—341no—
1593C2×C4—341no—
1594C2×C4—341no—
1595C2×C4—341no—
1596C2×C4—341no—
1597C2×C4—341no—
1598C2×C4—341no—
1599C2×C4—341no—
1600C2×C4—341no—
1601C2×C4—341no—
1602C2×C4—341no—
1603C2×C4—341no—
1604C2×C4—341no—
1605C2×C4—341no—
1606C2×C4—684no—
1607C2×C4—684no—
1608C2×C4—684no—
1609C2×C4—684no—
1610C2×C4C2×#6325212yes—
1611C2×C4C2×#6325212yes—
1612C2×C4C2×#6325212yes—
1613C2×C4C2×#6325212yes—
1614C2×C4C2×#6325212yes—
1615C2×C4C2×#6325212yes—
1616C2×C4C2×D4×D1712yes—
1617C2×C4C2×D4×D1712yes—
1618C2×C4#1058769112yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—416no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—342no—
1641C22—342no—
1642C22—342no—
1643C22—681no—
1644C22—681no—
1645C22—681no—
1646C22—681no—
1647C22—681no—
1648C22—681no—
1649C22—681no—
1650C22—681no—
1651C22—681no—
1652C22—681no—
1653C22—681no—
1654C22—681no—
1655C22—681no—
1656C22—681no—
1657C22—681no—
1658C22—681no—
1659C22—681no—
1660C22—681no—
1661C22#1176335614yes—
1662C22C22×D4×D1711yescharacteristic
1663C22C2×#41×D1711yescharacteristic
1664C22C22×#6325211yescharacteristic
1665C22C22×#6325211yescharacteristic
1666C22C22×#6325211yescharacteristic
1667C22C2×#1058769111yescharacteristic
1668C22#1176364511yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—342no—
1681C4—342no—
1682C4—342no—
1683C4—342no—
1684C4—342no—
1685C4—681no—
1686C4—681no—
1687C4—681no—
1688C4—681no—
1689C4—681no—
1690C4—681no—
1691C4—681no—
1692C4—681no—
1693C4#1176344914yes—
1694C2—24no—
1695C2—42no—
1696C2—42no—
1697C2—682no—
1698C2—1361no—
1699C2—1361no—
1700C2C2×#1176335611yescharacteristic
1701C2#1454208011yescharacteristic
1702C2#1454219311yescharacteristic
1703C2C2×#1176344911yescharacteristic
1704C2D4×#6325211yescharacteristic
1705C2#1454233811yescharacteristic
1706C2#1454238811yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutator, socle, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC2×C4×C22⋊C4×C17C2
hypercenterC2×C4×C22⋊C4D17
hypocenterC17#34829
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#11763343C2semidirect
2. C2×#11763320C2semidirect
3. #14533928C2semidirect
4. #14533913C2semidirect
5. #14533898C2semidirect
6. #14533883C2semidirect
7. #14533868C2semidirect
8. #14533853C2semidirect
9. #14533844C2semidirect
10. #14533829C2semidirect
11. #14533795C2semidirect
12. #14533744C2semidirect
13. #14533715C2semidirect
14. #14533674C2semidirect
15. #14533110C2semidirect
16. #14532904C2semidirect
17. #14532335C2semidirect
18. #14532320C2semidirect
19. #14532058C2semidirect
20. #14532045C2semidirect
21. #14532028C2semidirect
22. #14532000C2semidirect
23. C4×#10587571C2semidirect
24. C4×#10587615C2semidirect
25. C4×#10587616C2semidirect
26. C4×#10587570C2semidirect
27. C4×#10587639C2semidirect
28. #14531270C2semidirect
29. #14531247C2semidirect
30. C42×C22⋊D17C2semidirect
31. C2×C4×C22⋊C4×C17C2semidirect
34. C2×#10587562C22semidirect
35. C2×#10587562C22semidirect
36. C2×#10587556C22semidirect
37. C2×#10587561C22semidirect
56. C2×C4×Dic34C22semidirect
57. C2×C4×D68C22semidirect
58. C2×C4×D68C22semidirect
69. C2×#10587558C22semidirect
70. C2×#10587558C22semidirect
71. C2×C42×D17C22semidirect
72. #11762751C22semidirect
73. #11762750C22semidirect
76. #11762743C22semidirect
77. #11762743C22semidirect
78. #11762743C22semidirect
79. #11762741C22semidirect
80. #11762738C22semidirect
81. #11762738C22semidirect
83. #11762736C22semidirect
84. #11762733C22semidirect
88. #11762730C22semidirect
89. #11762730C22semidirect
90. #11762727C22semidirect
91. #11762727C22semidirect
98. #11762722C22semidirect
100. #11762719C22semidirect
104. #11762713C22semidirect
105. #11762713C22semidirect
106. #11762713C22semidirect
107. #11762711C22semidirect
114. #11762707C22semidirect
115. #11762706C22semidirect
116. #11762706C22semidirect
117. #11762706C22semidirect
120. #11762701C22semidirect
121. #11762701C22semidirect
122. #11762701C22semidirect
123. #11762700C22semidirect
124. #11762700C22semidirect
125. #11762700C22semidirect
126. #11762700C22semidirect
127. #11762698C22semidirect
128. #11762698C22semidirect
132. #11762693C22semidirect
133. #11762693C22semidirect
140. #11762687C22semidirect
141. #11762687C22semidirect
142. #11762687C22semidirect
150. #11762673C22semidirect
153. #11762668C22semidirect
155. C4×#63225C22semidirect
156. C4×#63225C22semidirect
157. C4×#63225C22semidirect
158. C4×#63225C22semidirect
159. C4×#63225C22semidirect
160. C4×C4⋊Dic17C22semidirect
161. C4×#63227C22semidirect
162. C4×#63227C22semidirect
163. C4×#63227C22semidirect
164. C4×#63227C22semidirect
165. C4×#63227C22semidirect
166. C4×#63227C22semidirect
167. C4×#63227C22semidirect
173. C42×Dic17C22semidirect
280. C4×C22⋊D17D4semidirect
434. C22×C4×C17#41semidirect
525. C22⋊C4×C17#41semidirect
548. C22⋊Dic17#41semidirect
796. C2×C4×C22⋊C4D17semidirect
1244. C17#34829semidirect
1358. C22×C4#63252semidirect
1445. C22⋊C4#63252semidirect

Maximal subgroups

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

subgroupindex
C2×#117633432
C2×#117633202
#145339282
#145339132
#145338982
#145338832
#145338682
#145338532
#145338442
#145338292
#145337952
#145337442
#145337152
#145336742
#145331102
#145329042
#145323352
#145323202
#145320582
#145320452
#145320282
#145320002
C4×#105875712
C4×#105876152
C4×#105876162
C4×#105875702
C4×#105876392
#145312702
#145312472
C42×C22⋊D172
C2×C4×C22⋊C4×C172
#3482917