Finite Group Databasebeta

← #17911085

Subgroups — #17911085

Order 4352.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#63252C211yesmaximal, characteristic, complemented
2#14540964C211yesmaximal, characteristic, complemented
3#14540949C211yesmaximal, characteristic, complemented
4#14540934C211yesmaximal, characteristic, complemented
5#14540919C211yesmaximal, characteristic, complemented
6#14540904C211yesmaximal, characteristic, complemented
7#14540889C211yesmaximal, characteristic, complemented
8#14540874C211yesmaximal, characteristic, complemented
9#14540859C211yesmaximal, characteristic, complemented
10#14540844C211yesmaximal, characteristic, complemented
11#14540829C211yesmaximal, characteristic, complemented
12#14540814C211yesmaximal, characteristic, complemented
13#14540799C211yesmaximal, characteristic, complemented
14#14540784C211yesmaximal, characteristic, complemented
15#14540769C211yesmaximal, characteristic, complemented
16#14540754C211yesmaximal, characteristic, complemented
17#14540739C211yesmaximal, characteristic, complemented
18#14539132C211yesmaximal, characteristic, complemented
19#14538697C211yesmaximal, characteristic, complemented
20#14538697C211yesmaximal, characteristic, complemented
21#14538566C211yesmaximal, characteristic, complemented
22#14538390C211yesmaximal, characteristic, complemented
23#14538362C211yesmaximal, characteristic, complemented
24#14538239C211yesmaximal, characteristic, complemented
25#14538000C211yesmaximal, characteristic, complemented
26#14538000C211yesmaximal, characteristic, complemented
27#14537582C211yesmaximal, characteristic, complemented
28C2×#11762881C211yesmaximal, characteristic, complemented
29#14537301C211yesmaximal, characteristic, complemented
30C2×#11762803C211yesmaximal, characteristic, complemented
31C17×#3475C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33C22×#63252C2211yescharacteristic
34C2×#10587636C2211yescharacteristic
35C2×#10587636C2211yescharacteristic, complemented
36C2×#10587636C2211yescharacteristic, complemented
37C22×#63223C2211yescharacteristic, complemented
38C23×#3622C2211yescharacteristic, complemented
39#11763480C2211yescharacteristic
40D4×Dic34C2211yescharacteristic
41#11763468C2211yescharacteristic
42#11763468C2211yescharacteristic
43#11763464C2211yescharacteristic
44#11763460—21no—
45#11763455C2211yescharacteristic
46#11763455C2211yescharacteristic
47#11763449—21no—
48#11763449—21no—
49D4×D68C2211yescharacteristic
50D4×C22⋊D17—21no—
51#11763359C2211yescharacteristic
52#11763356—21no—
53#11763320C2211yescharacteristic
54#11763320C2211yescharacteristic
55#11763318—21no—
56#11763318—21no—
57C4×#63252C2211yescharacteristic
58C4×D4×D17—21no—
59#11763179C2211yescharacteristic, complemented
60#11763179C2211yescharacteristic, complemented
61#11763175C2211yescharacteristic, complemented
62#11763175C2211yescharacteristic, complemented
63#11763171C2211yescharacteristic, complemented
64#11763171C2211yescharacteristic, complemented
65#11763171C2211yescharacteristic, complemented
66#11763171C2211yescharacteristic, complemented
67#11763150C2211yescharacteristic, complemented
68#11763150C2211yescharacteristic, complemented
69#11763150C2211yescharacteristic, complemented
70#11763150C2211yescharacteristic, complemented
71#11763144C2211yescharacteristic, complemented
72#11763144C2211yescharacteristic, complemented
73#11763139C2211yescharacteristic, complemented
74#11763139C2211yescharacteristic, complemented
75#11763133C2211yescharacteristic, complemented
76#11763133C2211yescharacteristic, complemented
77#11763133C2211yescharacteristic, complemented
78#11763133C2211yescharacteristic, complemented
79#11763127C2211yescharacteristic, complemented
80#11763127C2211yescharacteristic, complemented
81#11763122C2211yescharacteristic, complemented
82#11763122C2211yescharacteristic, complemented
83#11763113C2211yescharacteristic, complemented
84#11763113C2211yescharacteristic, complemented
85#11763106C2211yescharacteristic, complemented
86#11763106C2211yescharacteristic, complemented
87#11763101C2211yescharacteristic, complemented
88#11763096C2211yescharacteristic, complemented
89#11763091C2211yescharacteristic, complemented
90#11763086C2211yescharacteristic, complemented
91#11763065C2211yescharacteristic, complemented
92#11763065C2211yescharacteristic, complemented
93#11763060C2211yescharacteristic, complemented
94#11763060C2211yescharacteristic, complemented
95#11763057C2211yescharacteristic, complemented
96#11763057C2211yescharacteristic, complemented
97#11763053C2211yescharacteristic, complemented
98#11763053C2211yescharacteristic, complemented
99#11763048C2211yescharacteristic, complemented
100#11763048C2211yescharacteristic, complemented
101#11763043C2211yescharacteristic, complemented
102#11763043C2211yescharacteristic, complemented
103#11763040C2211yescharacteristic, complemented
104#11763040C2211yescharacteristic, complemented
105#11763036C2211yescharacteristic, complemented
106#11763036C2211yescharacteristic, complemented
107#11763031C2211yescharacteristic, complemented
108#11763031C2211yescharacteristic, complemented
109#11763024C2211yescharacteristic, complemented
110#11763024C2211yescharacteristic, complemented
111#11763019C2211yescharacteristic, complemented
112#11763014C2211yescharacteristic, complemented
113#11763009C2211yescharacteristic, complemented
114#11763004C2211yescharacteristic, complemented
115#11762969C2211yescharacteristic, complemented
116#11762969C2211yescharacteristic, complemented
117#11762969C2211yescharacteristic, complemented
118#11762969C2211yescharacteristic, complemented
119#11762964C2211yescharacteristic, complemented
120#11762964C2211yescharacteristic, complemented
121#11762959C2211yescharacteristic, complemented
122#11762959C2211yescharacteristic, complemented
123#11762952C2211yescharacteristic, complemented
124#11762952C2211yescharacteristic, complemented
125#11762952C2211yescharacteristic, complemented
126#11762952C2211yescharacteristic, complemented
127#11762947C2211yescharacteristic, complemented
128#11762947C2211yescharacteristic, complemented
129#11762942C2211yescharacteristic, complemented
130#11762942C2211yescharacteristic, complemented
131#11762919C2211yescharacteristic, complemented
132#11762919C2211yescharacteristic, complemented
133#11762914C2211yescharacteristic, complemented
134#11762914C2211yescharacteristic, complemented
135#11762909C2211yescharacteristic, complemented
136#11762909C2211yescharacteristic, complemented
137#11762907C2211yescharacteristic, complemented
138#11762907C2211yescharacteristic, complemented
139#11762881C2211yescharacteristic
140#11762881C2211yescharacteristic
141#11762881C2211yescharacteristic, complemented
142#11762881C2211yescharacteristic, complemented
143#11762881C2211yescharacteristic, complemented
144#11762881C2211yescharacteristic, complemented
145#11762881C2211yescharacteristic, complemented
146#11762881C2211yescharacteristic, complemented
147#11762845C2211yescharacteristic, complemented
148#11762845C2211yescharacteristic, complemented
149#11762845C2211yescharacteristic, complemented
150C2×C4⋊#3622C2211yescharacteristic, complemented
151#11762817C2211yescharacteristic, complemented
152#11762817C2211yescharacteristic, complemented
153#11762813C2211yescharacteristic, complemented
154#11762813C2211yescharacteristic, complemented
155#11762808C2211yescharacteristic, complemented
156#11762808C2211yescharacteristic, complemented
157#11762808C2211yescharacteristic, complemented
158#11762808C2211yescharacteristic, complemented
159#11762805C2211yescharacteristic, complemented
160#11762803C2211yescharacteristic
161#11762803C2211yescharacteristic
162#11762803C2211yescharacteristic
163#11762803C2211yescharacteristic, complemented
164#11762803C2211yescharacteristic, complemented
165#11762803C2211yescharacteristic, complemented
166#11762803C2211yescharacteristic, complemented
167#11762803C2211yescharacteristic, complemented
168#11762803C2211yescharacteristic, complemented
169#11762803C2211yescharacteristic, complemented
170#11762803C2211yescharacteristic, complemented
171#11762803C2211yescharacteristic, complemented
172#11762803C2211yescharacteristic, complemented
173C2×#10587481C2211yescharacteristic, complemented
174C2×#10587481C2211yescharacteristic, complemented
175C2×#10587480C2211yescharacteristic, complemented
176C2×#10587480C2211yescharacteristic, complemented
177C2×C22⋊#3622C2211yescharacteristic, complemented
178C2×C22⋊#3622C2211yescharacteristic, complemented
179C2×#10587474C2211yescharacteristic, complemented
180C17×#556C2211yescharacteristic, complemented
181C17×#555C2211yescharacteristic, complemented
182C17×#554C2211yescharacteristic, complemented
183C17×#553C2211yescharacteristic
184C17×#553C2211yescharacteristic, complemented
185C17×#552—21no—
186C17×#552C2211yescharacteristic
187C17×#552C2211yescharacteristic, complemented
188C17×#551—21no—
189C17×#551—21no—
190C17×#547C2211yescharacteristic, complemented
191C17×#546—21no—
192C17×#533C2211yescharacteristic, complemented
193C17×#529—21no—
194C17×#529—21no—
195C17×#529—21no—
196C17×#525C2211yescharacteristic, complemented
197C17×#525C2211yescharacteristic, complemented
198C4×#41×C17—21no—
199C4×#41×C17C2211yescharacteristic, complemented
200C2×C4×D4×C17C2211yescharacteristic
201C2×C17×#117C2211yescharacteristic, complemented
202C2×C17×#117C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C2×#41×C17C2311yescharacteristic
205C22×D4×C17D411yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C22×C22⋊D17—21no—
209C22×C22⋊D17—21no—
210C2×D4×D17—21no—
211C2×#63252—21no—
212C2×#63252—21no—
213C2×#63252—21no—
214C2×#63252—21no—
215C2×#63252—24no—
216C2×#63252—24no—
217C2×#63252—42no—
218C2×#63252—42no—
219C2×#63252C2311yescharacteristic
220C2×#63252C2311yescharacteristic
221C2×#63252C2311yescharacteristic
222C2×#63252C2311yescharacteristic
223C2×#63252C2311yescharacteristic
224C2×#63252C2311yescharacteristic
225C2×#63252C2311yescharacteristic
226C22×D68C2311yescharacteristic
227C22×D68C2311yescharacteristic
228C22×C4×D17—21no—
229C22×C4×D17—21no—
230C22×Dic34C2311yescharacteristic
231C22×Dic34C2311yescharacteristic
232C17×C4⋊Q8C2311yescharacteristic
233C17×C4⋊Q8C2311yescharacteristic
234C17×#126—21no—
235C17×#126—21no—
236C17×#126—21no—
237C17×#126—21no—
238C17×#126—21no—
239C17×#126—21no—
240C17×#125—21no—
241C17×#125—21no—
242C17×#125—21no—
243C17×#125C2311yescharacteristic
244C17×#125C2311yescharacteristic
245C17×#124—21no—
246C17×#124—21no—
247C17×#124—21no—
248C17×#123—21no—
249C17×#123—21no—
250C17×#123—21no—
251C17×#123—21no—
252C17×#123—21no—
253C17×#123—21no—
254C17×#123—21no—
255C17×#123—21no—
256C17×C22⋊Q8—21no—
257C17×C22⋊Q8—21no—
258C17×C22⋊Q8—21no—
259C17×C22⋊Q8—21no—
260C17×C22⋊Q8—21no—
261C17×C22⋊Q8C2311yescharacteristic
262C17×C22⋊Q8C2311yescharacteristic
263C17×C22⋊Q8C2311yescharacteristic
264C17×C22⋊Q8C2311yescharacteristic
265C17×#121—21no—
266C17×#121—21no—
267C17×#121—21no—
268C17×#121C2311yescharacteristic
269C17×#121C2311yescharacteristic
270C17×#121C2311yescharacteristic
271C17×#121C2311yescharacteristic
272C17×#120—21no—
273C17×#120—21no—
274C4×Q8×C17—21no—
275C4×Q8×C17—21no—
276C4×Q8×C17—21no—
277C4×Q8×C17C2311yescharacteristic
278C4×Q8×C17C2311yescharacteristic
279C4×D4×C17—21no—
280C4×D4×C17—21no—
281C4×D4×C17—21no—
282C4×D4×C17—21no—
283C4×D4×C17—21no—
284C4×D4×C17—21no—
285C4×D4×C17—21no—
286C4×D4×C17—21no—
287C4×D4×C17—21no—
288C4×D4×C17D411yescharacteristic
289C4×D4×C17D411yescharacteristic
290C4×D4×C17D411yescharacteristic
291C4×D4×C17D411yescharacteristic
292C4×D4×C17C2311yescharacteristic
293C4×D4×C17C2311yescharacteristic
294C4×D4×C17C2311yescharacteristic
295C4×D4×C17C2311yescharacteristic
296C4×D4×C17C2311yescharacteristic
297C4×D4×C17C2311yescharacteristic
298C17×#117—21no—
299C17×#117—21no—
300C17×#117—21no—
301C17×#117—21no—
302C17×#117—21no—
303C17×#117—21no—
304C17×#117—21no—
305C17×#117—21no—
306C17×#117C2311yescharacteristic
307C17×#117C2311yescharacteristic
308C17×#117C2311yescharacteristic
309C17×#117C2311yescharacteristic
310C17×#117C2311yescharacteristic
311C17×#117C2311yescharacteristic
312C17×#117C2311yescharacteristic
313C2×C4⋊C4×C17D411yescharacteristic
314C2×C4⋊C4×C17C2311yescharacteristic
315C2×C4⋊C4×C17C2311yescharacteristic
316C2×C4⋊C4×C17C2311yescharacteristic
317C2×C4⋊C4×C17C2311yescharacteristic
318C2×C22⋊C4×C17—21no—
319C2×C22⋊C4×C17—21no—
320C2×C22⋊C4×C17D411yescharacteristic
321C2×C22⋊C4×C17D411yescharacteristic
322C2×C42×C17—21no—
323C2×C42×C17—21no—
324C2×C42×C17—21no—
325C2×C42×C17C2311yescharacteristic
326#10587639—21no—
327#10587639—21no—
328#10587636—24no—
329#10587636—42no—
330#10587636—42no—
331C2×#63231C2311yescharacteristic
332C2×#63231C2311yescharacteristic
333C2×#63231C2311yescharacteristic
334C2×#63230C2311yescharacteristic
335C2×#63230C2311yescharacteristic
336C2×#63230C2311yescharacteristic
337#10587626—21no—
338#10587625—21no—
339#10587625—21no—
340#10587624—21no—
341#10587623—21no—
342#10587623—21no—
343D4×Dic17—21no—
344C2×#63229C2311yescharacteristic
345C2×#63229C2311yescharacteristic
346C2×#63229C2311yescharacteristic
347C2×#63228C2311yescharacteristic
348C2×#63228C2311yescharacteristic
349C2×#63228C2311yescharacteristic
350#10587616—21no—
351#10587616—21no—
352#10587616C2311yescharacteristic
353#10587616C2311yescharacteristic
354#10587616C2311yescharacteristic
355#10587616C2311yescharacteristic
356#10587615—21no—
357#10587615—21no—
358C4×C22⋊D17—21no—
359C4×C22⋊D17—21no—
360C4×C22⋊D17—21no—
361C4×C22⋊D17—21no—
362C4×C22⋊D17—21no—
363C4×C22⋊D17—21no—
364#10587612C2311yescharacteristic
365#10587610C2311yescharacteristic
366#10587610C2311yescharacteristic
367#10587610C2311yescharacteristic
368#10587610C2311yescharacteristic
369C2×#63223—42no—
370C2×#63223C2311yescharacteristic
371C2×#63223C2311yescharacteristic
372C2×#63223C2311yescharacteristic
373C2×#63223C2311yescharacteristic
374C22×#3622—42no—
375C22×#3622C2311yescharacteristic
376C22×#3622C2311yescharacteristic
377C22×#3622C2311yescharacteristic
378C22×#3622C2311yescharacteristic
379C22×#3622C2311yescharacteristic
380C22×#3622C2311yescharacteristic
381C22×#3622C2311yescharacteristic
382C22×#3622C2311yescharacteristic
383#10587582—21no—
384#10587582—21no—
385#10587581—21no—
386#10587580—21no—
387#10587580—21no—
388#10587579—21no—
389C4⋊C4×D17—21no—
390#10587574—21no—
391#10587571—21no—
392#10587571—21no—
393#10587570—21no—
394#10587570—21no—
395#10587570—21no—
396#10587570—21no—
397#10587569—21no—
398#10587569—21no—
399#10587568—21no—
400#10587568—21no—
401#10587567—21no—
402#10587567—21no—
403C22⋊C4×D17—21no—
404C22⋊C4×D17—21no—
405#10587564—21no—
406#10587564—21no—
407#10587561C2311yescharacteristic
408#10587561C2311yescharacteristic
409#10587560C2311yescharacteristic
410C4×D68—21no—
411C4×D68—21no—
412C4×D68C2311yescharacteristic
413C4×D68C2311yescharacteristic
414#10587558—21no—
415C42×D17—21no—
416#10587555C2311yescharacteristic
417C4×Dic34C2311yescharacteristic
418C4×Dic34C2311yescharacteristic
419#10587506C2311yescharacteristic
420#10587506C2311yescharacteristic
421#10587503C2311yescharacteristic
422#10587503C2311yescharacteristic
423C22⋊#3622C2311yescharacteristic
424C22⋊#3622C2311yescharacteristic
425C22⋊#3622C2311yescharacteristic
426C22⋊#3622C2311yescharacteristic
427C22⋊#3622C2311yescharacteristic
428C22⋊#3622C2311yescharacteristic
429C22⋊#3622C2311yescharacteristic
430C22⋊#3622C2311yescharacteristic
431#10587481C2311yescharacteristic
432#10587481C2311yescharacteristic
433#10587481C2311yescharacteristic
434#10587481C2311yescharacteristic
435#10587481C2311yescharacteristic
436#10587481C2311yescharacteristic
437#10587481C2311yescharacteristic
438#10587481C2311yescharacteristic
439#10587481C2311yescharacteristic
440#10587481C2311yescharacteristic
441#10587481C2311yescharacteristic
442#10587481C2311yescharacteristic
443#10587481C2311yescharacteristic
444#10587481C2311yescharacteristic
445#10587481C2311yescharacteristic
446#10587481C2311yescharacteristic
447#10587481C2311yescharacteristic
448#10587481C2311yescharacteristic
449#10587480C2311yescharacteristic
450#10587480C2311yescharacteristic
451#10587480C2311yescharacteristic
452#10587480C2311yescharacteristic
453#10587480C2311yescharacteristic
454#10587480C2311yescharacteristic
455#10587480C2311yescharacteristic
456#10587480C2311yescharacteristic
457#10587480C2311yescharacteristic
458#10587480C2311yescharacteristic
459#10587480C2311yescharacteristic
460#10587480C2311yescharacteristic
461#10587480C2311yescharacteristic
462#10587480C2311yescharacteristic
463#10587480C2311yescharacteristic
464#10587480C2311yescharacteristic
465#10587480C2311yescharacteristic
466#10587480C2311yescharacteristic
467#10587479C2311yescharacteristic
468#10587479C2311yescharacteristic
469#10587479C2311yescharacteristic
470#10587479C2311yescharacteristic
471#10587479C2311yescharacteristic
472#10587479C2311yescharacteristic
473#10587478C2311yescharacteristic
474#10587478C2311yescharacteristic
475#10587478C2311yescharacteristic
476#10587478C2311yescharacteristic
477#10587478C2311yescharacteristic
478#10587478C2311yescharacteristic
479C4⋊#3622C2311yescharacteristic
480C4⋊#3622C2311yescharacteristic
481C4⋊#3622C2311yescharacteristic
482C4⋊#3622C2311yescharacteristic
483#10587474C2311yescharacteristic
484#10587474C2311yescharacteristic
485#10587474C2311yescharacteristic
486#10587474C2311yescharacteristic
487C24×C17C2×D411yescharacteristic
488C24×C17C2×D411yescharacteristic
489C23×D17—21no—
490C23×D17—21no—
491#41×C17—22no—
492#41×C17—22no—
493#41×C17—44no—
494C2×Q8×C17—21no—
495C2×Q8×C17—21no—
496C2×Q8×C17C2411yescharacteristic
497C2×D4×C17—21no—
498C2×D4×C17—21no—
499C2×D4×C17—21no—
500C2×D4×C17—21no—
501C2×D4×C17—21no—
502C2×D4×C17—42no—
503C2×D4×C17C2×D411yescharacteristic
504C2×D4×C17C2×D411yescharacteristic
505C2×D4×C17C2×D411yescharacteristic
506C2×D4×C17C2×D411yescharacteristic
507C2×D4×C17C2411yescharacteristic
508C22×C4×C17—22no—
509C22×C4×C17—22no—
510C22×C4×C17—22no—
511C22×C4×C17—22no—
512C22×C4×C17—21no—
513C22×C4×C17—21no—
514C22×C4×C17—21no—
515C22×C4×C17—21no—
516C22×C4×C17—21no—
517C22×C4×C17—21no—
518C22×C4×C17—21no—
519C22×C4×C17C2×D411yescharacteristic
520C22×C4×C17C2×D411yescharacteristic
521C22×C4×C17C2×D411yescharacteristic
522C22×C4×C17C2×D411yescharacteristic
523C22×C4×C17C2×D411yescharacteristic
524C22×C4×C17C2×D411yescharacteristic
525C22×C4×C17C2×D411yescharacteristic
526C22×C4×C17C2×D411yescharacteristic
527C22×C4×C17C2411yescharacteristic
528C22×C4×C17C2411yescharacteristic
529C22×C4×C17C2411yescharacteristic
530C22×C4×C17C2411yescharacteristic
531C22×C4×C17C2411yescharacteristic
532C2×C22⋊D17—21no—
533C2×C22⋊D17—21no—
534C2×C22⋊D17—21no—
535C2×C22⋊D17—21no—
536C2×C22⋊D17—21no—
537C2×C22⋊D17—21no—
538C2×C22⋊D17—21no—
539C2×C22⋊D17—21no—
540C2×C22⋊D17—21no—
541C2×C22⋊D17—21no—
542C2×C22⋊D17—21no—
543C2×C22⋊D17—44no—
544C2×C22⋊D17—44no—
545C22×Dic17—21no—
546C22×Dic17—21no—
547D4×D17—44no—
548#63252—22no—
549#63252—22no—
550#63252—22no—
551#63252—22no—
552#63252—22no—
553#63252—22no—
554#63252—22no—
555#63252—22no—
556#63252—22no—
557#63252—41no—
558#63252—41no—
559#63252—41no—
560#63252—41no—
561#63252—44no—
562#63252—44no—
563#63252—44no—
564#63252—44no—
565#63252#4114yescomplemented
566C2×D68—22no—
567C2×D68—22no—
568C2×D68—21no—
569C2×D68—21no—
570C2×D68—21no—
571C2×D68—21no—
572C2×D68—41no—
573C2×D68—41no—
574C2×D68C2411yescharacteristic
575C2×D68C2411yescharacteristic
576C2×D68C2411yescharacteristic
577C2×C4×D17—21no—
578C2×C4×D17—21no—
579C2×C4×D17—21no—
580C2×C4×D17—21no—
581C2×C4×D17—21no—
582C2×C4×D17—21no—
583C2×C4×D17—21no—
584C2×C4×D17—21no—
585C2×C4×D17—21no—
586C2×C4×D17—44no—
587C2×C4×D17—44no—
588C2×Dic34—22no—
589C2×Dic34—22no—
590C2×Dic34—21no—
591C2×Dic34—21no—
592C2×Dic34—41no—
593C2×Dic34—41no—
594C2×Dic34C2411yescharacteristic
595C2×Dic34C2411yescharacteristic
596C2×Dic34C2411yescharacteristic
597C4⋊C4×C17—21no—
598C4⋊C4×C17—21no—
599C4⋊C4×C17—21no—
600C4⋊C4×C17—21no—
601C4⋊C4×C17—21no—
602C4⋊C4×C17—21no—
603C4⋊C4×C17—21no—
604C4⋊C4×C17—21no—
605C4⋊C4×C17—21no—
606C4⋊C4×C17—21no—
607C4⋊C4×C17—21no—
608C4⋊C4×C17—21no—
609C4⋊C4×C17—21no—
610C4⋊C4×C17—21no—
611C4⋊C4×C17—21no—
612C4⋊C4×C17—21no—
613C4⋊C4×C17C2×D411yescharacteristic
614C4⋊C4×C17C2×D411yescharacteristic
615C4⋊C4×C17C2×D411yescharacteristic
616C4⋊C4×C17C2×D411yescharacteristic
617C4⋊C4×C17C2411yescharacteristic
618C4⋊C4×C17C2411yescharacteristic
619C4⋊C4×C17C2411yescharacteristic
620C4⋊C4×C17C2411yescharacteristic
621C4⋊C4×C17C2411yescharacteristic
622C4⋊C4×C17C2411yescharacteristic
623C22⋊C4×C17—21no—
624C22⋊C4×C17—21no—
625C22⋊C4×C17—21no—
626C22⋊C4×C17—21no—
627C22⋊C4×C17—21no—
628C22⋊C4×C17—21no—
629C22⋊C4×C17—21no—
630C22⋊C4×C17—21no—
631C22⋊C4×C17—21no—
632C22⋊C4×C17—21no—
633C22⋊C4×C17—21no—
634C22⋊C4×C17—21no—
635C22⋊C4×C17—21no—
636C22⋊C4×C17—21no—
637C22⋊C4×C17—21no—
638C22⋊C4×C17—21no—
639C22⋊C4×C17—21no—
640C22⋊C4×C17C2×D411yescharacteristic
641C22⋊C4×C17C2×D411yescharacteristic
642C22⋊C4×C17C2×D411yescharacteristic
643C22⋊C4×C17C2×D411yescharacteristic
644C22⋊C4×C17C2×D411yescharacteristic
645C22⋊C4×C17C2×D411yescharacteristic
646C22⋊C4×C17C2×D411yescharacteristic
647C22⋊C4×C17C2×D411yescharacteristic
648C42×C17—21no—
649C42×C17—21no—
650C42×C17—21no—
651C42×C17—21no—
652C42×C17—21no—
653C42×C17—21no—
654C42×C17—21no—
655C42×C17—21no—
656C42×C17—21no—
657C42×C17C2×D411yescharacteristic
658C42×C17C2×D411yescharacteristic
659C42×C17C2411yescharacteristic
660C42×C17C2411yescharacteristic
661C22⋊Dic17—21no—
662C22⋊Dic17—21no—
663C22⋊Dic17—21no—
664C22⋊Dic17—21no—
665C22⋊Dic17—21no—
666#63231—22no—
667#63231—41no—
668#63231—41no—
669#63230—22no—
670#63230—41no—
671#63230—41no—
672#63229—22no—
673#63229—41no—
674#63229—41no—
675#63228—22no—
676#63228—41no—
677#63228—41no—
678#63227—21no—
679#63227—21no—
680#63227—21no—
681#63227—21no—
682#63227—21no—
683#63227—21no—
684#63227—21no—
685#63227—21no—
686#63227—21no—
687#63227—21no—
688C4⋊Dic17—21no—
689C4⋊Dic17—21no—
690C4⋊Dic17C2411yescharacteristic
691C4⋊Dic17C2411yescharacteristic
692#63225—21no—
693#63225—21no—
694#63225—21no—
695#63225—21no—
696#63225—21no—
697#63225—21no—
698C4×Dic17—21no—
699C4×Dic17—21no—
700C4×Dic17—21no—
701#63223—41no—
702#63223—41no—
703#63223—41no—
704#63223—41no—
705C2×#3622—22no—
706C2×#3622—22no—
707C2×#3622—22no—
708C2×#3622—22no—
709C2×#3622—41no—
710C2×#3622—41no—
711C2×#3622—41no—
712C2×#3622—41no—
713C2×#3622C2411yescharacteristic
714C2×#3622C2411yescharacteristic
715C2×#3622C2411yescharacteristic
716C2×#3622C2411yescharacteristic
717C2×#3622C2411yescharacteristic
718C2×#3622C2411yescharacteristic
719C2×#3622C2411yescharacteristic
720C2×#3622C2411yescharacteristic
721#61141—171nomaximal, Sylow
722C23×C17—22no—
723C23×C17—22no—
724C23×C17—22no—
725C23×C17—21no—
726C23×C17—41no—
727C23×C17—41no—
728C23×C17—41no—
729C23×C17C22×D411yescharacteristic
730C23×C17C22×D411yescharacteristic
731C23×C17C22×D411yescharacteristic
732C23×C17C22×D411yescharacteristic
733C23×C17C22×D411yescharacteristic
734C22×D17—21no—
735C22×D17—21no—
736C22×D17—21no—
737C22×D17—42no—
738C22×D17—42no—
739C22×D17—42no—
740C22×D17—42no—
741C22×D17—81no—
742C22×D17—81no—
743Q8×C17—21no—
744Q8×C17—21no—
745Q8×C17—42no—
746Q8×C17—81no—
747D4×C17—22no—
748D4×C17—22no—
749D4×C17—21no—
750D4×C17—21no—
751D4×C17—41no—
752D4×C17—41no—
753D4×C17—42no—
754D4×C17—42no—
755D4×C17—42no—
756D4×C17—81no—
757D4×C17—81no—
758C2×C4×C17—22no—
759C2×C4×C17—22no—
760C2×C4×C17—22no—
761C2×C4×C17—22no—
762C2×C4×C17—22no—
763C2×C4×C17—22no—
764C2×C4×C17—21no—
765C2×C4×C17—21no—
766C2×C4×C17—21no—
767C2×C4×C17—21no—
768C2×C4×C17—21no—
769C2×C4×C17—21no—
770C2×C4×C17—21no—
771C2×C4×C17—21no—
772C2×C4×C17—21no—
773C2×C4×C17—21no—
774C2×C4×C17—21no—
775C2×C4×C17—21no—
776C2×C4×C17—21no—
777C2×C4×C17—21no—
778C2×C4×C17—21no—
779C2×C4×C17—41no—
780C2×C4×C17—41no—
781C2×C4×C17—42no—
782C2×C4×C17—42no—
783C2×C4×C17—42no—
784C2×C4×C17—42no—
785C2×C4×C17—81no—
786C2×C4×C17—81no—
787C2×C4×C17—81no—
788C2×C4×C17C22×D411yescharacteristic
789C2×C4×C17C22×D411yescharacteristic
790C2×C4×C17C22×D411yescharacteristic
791C2×C4×C17C22×D411yescharacteristic
792C2×C4×C17C22×D411yescharacteristic
793C2×C4×C17C22×D411yescharacteristic
794C2×C4×C17C22×D411yescharacteristic
795C2×C4×C17C22×D411yescharacteristic
796C2×C4×C17C22×D411yescharacteristic
797C2×C4×C17C2×#4112yes—
798C2×C4×C17H(5,𝔽2)12yes—
799C2×C4×C17C2511yescharacteristic
800C22⋊D17—24no—
801C22⋊D17—42no—
802C22⋊D17—42no—
803C22⋊D17—42no—
804C22⋊D17—42no—
805C22⋊D17—42no—
806C22⋊D17—42no—
807C22⋊D17—42no—
808C22⋊D17—42no—
809C22⋊D17—81no—
810C22⋊D17—81no—
811C2×Dic17—21no—
812C2×Dic17—21no—
813C2×Dic17—21no—
814C2×Dic17—21no—
815C2×Dic17—21no—
816C2×Dic17—42no—
817C2×Dic17—42no—
818D68—21no—
819D68—21no—
820D68—21no—
821D68—21no—
822D68—21no—
823D68—42no—
824D68—42no—
825D68—42no—
826D68—81no—
827D68C2×#4112yes—
828C4×D17—24no—
829C4×D17—42no—
830C4×D17—42no—
831C4×D17—42no—
832C4×D17—42no—
833C4×D17—42no—
834C4×D17—42no—
835C4×D17—42no—
836C4×D17—81no—
837Dic34—21no—
838Dic34—21no—
839Dic34—21no—
840Dic34—21no—
841Dic34—21no—
842Dic34—42no—
843Dic34—42no—
844Dic34C2×#4112yes—
845#3622—21no—
846#3622—21no—
847#3622—21no—
848#3622—21no—
849#3622—21no—
850#3622—21no—
851#3622—21no—
852#3622—21no—
853#3475D1711yescharacteristic, complemented
854D4×#41—171no—
855#3321—171no—
856#3320—171no—
857#3319—171no—
858#3318—171no—
859#3317—171no—
860#3316—171no—
861#3315—171no—
862#3314—171no—
863#3313—171no—
864#3312—171no—
865#3311—171no—
866#3310—171no—
867#3309—171no—
868#3308—171no—
869#3307—171no—
870#3306—171no—
871#3135—171no—
872#3091—171no—
873#3091—171no—
874#3076—171no—
875#3054—171no—
876#3050—171no—
877#3035—171no—
878#3002—171no—
879#3002—171no—
880#2943—171no—
881C2×#435—171no—
882#2896—171no—
883C2×#416—171no—
884C22×C17—21no—
885C22×C17—21no—
886C22×C17—21no—
887C22×C17—21no—
888C22×C17—21no—
889C22×C17—21no—
890C22×C17—21no—
891C22×C17—21no—
892C22×C17—21no—
893C22×C17—21no—
894C22×C17—21no—
895C22×C17—21no—
896C22×C17—21no—
897C22×C17—44no—
898C22×C17—41no—
899C22×C17—41no—
900C22×C17—41no—
901C22×C17—82no—
902C22×C17#54612yes—
903C22×C17#57512yes—
904C22×C17C23×D411yescharacteristic
905C2×D17—22no—
906C2×D17—41no—
907C2×D17—41no—
908C2×D17—41no—
909C2×D17—41no—
910C2×D17—41no—
911C2×D17—41no—
912C2×D17—41no—
913C2×D17—41no—
914C2×D17—84no—
915C2×D17—84no—
916C4×C17—21no—
917C4×C17—21no—
918C4×C17—21no—
919C4×C17—21no—
920C4×C17—21no—
921C4×C17—21no—
922C4×C17—21no—
923C4×C17—21no—
924C4×C17—41no—
925C4×C17—41no—
926C4×C17—41no—
927C4×C17—41no—
928C4×C17—41no—
929C4×C17—41no—
930C4×C17—41no—
931C4×C17#54612yes—
932C4×C17C22×#4111yescharacteristic
933C4×C17C2×H(5,𝔽2)11yescharacteristic
934Dic17—22no—
935Dic17—41no—
936Dic17—41no—
937Dic17—41no—
938Dic17—41no—
939C22×#41—171no—
940C22×#41—171no—
941C2×#135—171no—
942C2×#135—171no—
943C2×#135—171no—
944C22×M16—171no—
945C23×C8—171no—
946#556C2×D1711yescharacteristic, complemented
947#555C2×D1711yescharacteristic, complemented
948#554C2×D1711yescharacteristic, complemented
949#553C2×D1711yescharacteristic
950#553C2×D1711yescharacteristic, complemented
951#552—21no—
952#552C2×D1711yescharacteristic
953#552C2×D1711yescharacteristic, complemented
954#551—21no—
955#551—21no—
956#550—171no—
957D4×Q8—171no—
958#548—171no—
959#548—171no—
960#547—171no—
961#547—341no—
962#547C2×D1711yescharacteristic, complemented
963#546—21no—
964#546—171no—
965#546—171no—
966#546—341no—
967#546—341no—
968D42—171no—
969D42—341no—
970#533C2×D1711yescharacteristic, complemented
971#532—171no—
972#532—341no—
973#529—21no—
974#529—21no—
975#529—21no—
976#525—171no—
977#525—171no—
978#525—341no—
979#525—341no—
980#525C2×D1711yescharacteristic, complemented
981#525C2×D1711yescharacteristic, complemented
982C4×#41—21no—
983C4×#41—171no—
984C4×#41C2×D1711yescharacteristic, complemented
985C2×C4×D4—341no—
986C2×C4×D4C2×D1711yescharacteristic
987C2×#117C2×D1711yescharacteristic, complemented
988C2×#117C2×D1711yescharacteristic, complemented
989#491—171no—
990#491—171no—
991#490—171no—
992#490—171no—
993#489—171no—
994#489—171no—
995#489—171no—
996#489—171no—
997#485—171no—
998#485—171no—
999#485—171no—
1000#485—171no—
1001#484—171no—
1002#484—171no—
1003#483—171no—
1004#483—171no—
1005#482—171no—
1006#482—171no—
1007#482—171no—
1008#482—171no—
1009#481—171no—
1010#481—171no—
1011#480—171no—
1012#480—171no—
1013#479—171no—
1014#479—171no—
1015#478—171no—
1016#478—171no—
1017#477—171no—
1018#476—171no—
1019#475—171no—
1020#474—171no—
1021#470—171no—
1022#470—171no—
1023#469—171no—
1024#469—171no—
1025#468—171no—
1026#468—171no—
1027#468—171no—
1028#468—171no—
1029#467—171no—
1030#467—171no—
1031#466—171no—
1032#466—171no—
1033#465—171no—
1034#465—171no—
1035#465—171no—
1036#465—171no—
1037#464—171no—
1038#464—171no—
1039#463—171no—
1040#463—171no—
1041#462—171no—
1042#461—171no—
1043#460—171no—
1044#459—171no—
1045#452—171no—
1046#452—171no—
1047#452—171no—
1048#452—171no—
1049#451—171no—
1050#451—171no—
1051#450—171no—
1052#450—171no—
1053#449—171no—
1054#449—171no—
1055#449—171no—
1056#449—171no—
1057#448—171no—
1058#448—171no—
1059#447—171no—
1060#447—171no—
1061#442—171no—
1062#442—171no—
1063#441—171no—
1064#441—171no—
1065#440—171no—
1066#440—171no—
1067#440—171no—
1068#440—171no—
1069#435—171no—
1070#435—171no—
1071#435—171no—
1072#435—171no—
1073#435—171no—
1074#435—171no—
1075#435—171no—
1076#435—171no—
1077#427—171no—
1078#427—171no—
1079#427—171no—
1080C2×C4⋊C8—171no—
1081#419—171no—
1082#419—171no—
1083#418—171no—
1084#418—171no—
1085#417—171no—
1086#417—171no—
1087#417—171no—
1088#417—171no—
1089#416—171no—
1090#416—171no—
1091#416—171no—
1092#416—171no—
1093#416—171no—
1094#416—171no—
1095#416—171no—
1096#416—171no—
1097#416—171no—
1098#416—171no—
1099#416—171no—
1100#416—171no—
1101#416—171no—
1102#416—171no—
1103C2×#103—171no—
1104C2×#103—171no—
1105C2×#102—171no—
1106C2×#102—171no—
1107C2×C22⋊C8—171no—
1108C2×C22⋊C8—171no—
1109C2×#97—171no—
1110C2×C17—22no—
1111C2×C17—22no—
1112C2×C17—41no—
1113C2×C17—41no—
1114C2×C17—41no—
1115C2×C17—81no—
1116C2×C17C2×#54611yescharacteristic
1117C2×C17C2×#57511yescharacteristic
1118C2×C17#358411yescharacteristic
1119D17—42no—
1120D17—81no—
1121D17—81no—
1122C2×#41—21no—
1123C2×#41—171no—
1124C2×#41—171no—
1125C2×#41—171no—
1126C2×#41—171no—
1127C2×#41—171no—
1128C2×#41—171no—
1129C2×#41—171no—
1130C2×#41—344no—
1131C2×#41—344no—
1132C2×#41—341no—
1133C2×#41—341no—
1134C2×#41—341no—
1135C2×#41—341no—
1136C2×#41—682no—
1137C2×#41—682no—
1138C2×#41C22×D1711yescharacteristic
1139C22×Q8—171no—
1140C22×Q8—171no—
1141C22×D4—171no—
1142C22×D4—171no—
1143C22×D4—341no—
1144C22×D4—341no—
1145C22×D4—341no—
1146C22×D4C22⋊D1711yescharacteristic
1147C23×C4—341no—
1148C23×C4—341no—
1149C23×C4C22×D1711yescharacteristic
1150C23×C4C22×D1711yescharacteristic
1151#135—344no—
1152#135—682no—
1153#135—682no—
1154C2×Q16—171no—
1155C2×Q16—171no—
1156C2×Q16—171no—
1157C2×SD16—171no—
1158C2×SD16—171no—
1159C2×SD16—171no—
1160C2×SD16—171no—
1161C2×SD16—171no—
1162C2×SD16—171no—
1163C2×D8—171no—
1164C2×D8—171no—
1165C2×D8—171no—
1166C2×M16—171no—
1167C2×M16—171no—
1168C2×M16—171no—
1169C2×M16—171no—
1170C2×M16—682no—
1171C22×C8—171no—
1172C22×C8—171no—
1173C22×C8—171no—
1174C22×C8—171no—
1175C22×C8—171no—
1176C22×C8—171no—
1177C22×C8—171no—
1178C22×C8—171no—
1179C22×C8—682no—
1180C4⋊Q8—171no—
1181C4⋊Q8—341no—
1182C4⋊Q8C22×D1711yescharacteristic
1183C4⋊Q8C22×D1711yescharacteristic
1184#127—171no—
1185#127—341no—
1186#126—21no—
1187#126—21no—
1188#126—21no—
1189#126—21no—
1190#126—21no—
1191#126—21no—
1192#125—21no—
1193#125—21no—
1194#125—21no—
1195#125C22×D1711yescharacteristic
1196#125C22×D1711yescharacteristic
1197#124—21no—
1198#124—21no—
1199#124—21no—
1200#124—171no—
1201#124—171no—
1202#124—341no—
1203#124—341no—
1204#123—21no—
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—21no—
1210#123—21no—
1211#123—21no—
1212#123—341no—
1213#123—341no—
1214#123—341no—
1215#123—341no—
1216#123—341no—
1217#123—341no—
1218C22⋊Q8—21no—
1219C22⋊Q8—21no—
1220C22⋊Q8—21no—
1221C22⋊Q8—21no—
1222C22⋊Q8—21no—
1223C22⋊Q8—171no—
1224C22⋊Q8—171no—
1225C22⋊Q8—171no—
1226C22⋊Q8—171no—
1227C22⋊Q8—341no—
1228C22⋊Q8—341no—
1229C22⋊Q8—341no—
1230C22⋊Q8—341no—
1231C22⋊Q8C22×D1711yescharacteristic
1232C22⋊Q8C22×D1711yescharacteristic
1233C22⋊Q8C22×D1711yescharacteristic
1234C22⋊Q8C22×D1711yescharacteristic
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—171no—
1239#121—171no—
1240#121—171no—
1241#121—171no—
1242#121—341no—
1243#121—341no—
1244#121—341no—
1245#121—341no—
1246#121—341no—
1247#121—341no—
1248#121—341no—
1249#121—341no—
1250#121—341no—
1251#121—341no—
1252#121C22×D1711yescharacteristic
1253#121C22×D1711yescharacteristic
1254#121C22×D1711yescharacteristic
1255#121C22×D1711yescharacteristic
1256#120—21no—
1257#120—21no—
1258#120—341no—
1259#120—341no—
1260#120—341no—
1261#120—341no—
1262#120—341no—
1263#120—341no—
1264C4×Q8—21no—
1265C4×Q8—21no—
1266C4×Q8—21no—
1267C4×Q8—171no—
1268C4×Q8—171no—
1269C4×Q8C22×D1711yescharacteristic
1270C4×Q8C22×D1711yescharacteristic
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—171no—
1281C4×D4—171no—
1282C4×D4—341no—
1283C4×D4—341no—
1284C4×D4—341no—
1285C4×D4—341no—
1286C4×D4—341no—
1287C4×D4—341no—
1288C4×D4—341no—
1289C4×D4—341no—
1290C4×D4—341no—
1291C4×D4—341no—
1292C4×D4—341no—
1293C4×D4—341no—
1294C4×D4C22⋊D1711yescharacteristic
1295C4×D4C22⋊D1711yescharacteristic
1296C4×D4C22⋊D1711yescharacteristic
1297C4×D4C22⋊D1711yescharacteristic
1298C4×D4C22×D1711yescharacteristic
1299C4×D4C22×D1711yescharacteristic
1300C4×D4C22×D1711yescharacteristic
1301C4×D4C22×D1711yescharacteristic
1302C4×D4C22×D1711yescharacteristic
1303C4×D4C22×D1711yescharacteristic
1304#117—21no—
1305#117—21no—
1306#117—21no—
1307#117—21no—
1308#117—21no—
1309#117—21no—
1310#117—21no—
1311#117—21no—
1312#117—171no—
1313#117—341no—
1314#117C22×D1711yescharacteristic
1315#117C22×D1711yescharacteristic
1316#117C22×D1711yescharacteristic
1317#117C22×D1711yescharacteristic
1318#117C22×D1711yescharacteristic
1319#117C22×D1711yescharacteristic
1320#117C22×D1711yescharacteristic
1321C2×C4⋊C4—341no—
1322C2×C4⋊C4C22⋊D1711yescharacteristic
1323C2×C4⋊C4C22×D1711yescharacteristic
1324C2×C4⋊C4C22×D1711yescharacteristic
1325C2×C4⋊C4C22×D1711yescharacteristic
1326C2×C4⋊C4C22×D1711yescharacteristic
1327C2×C22⋊C4—21no—
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—341no—
1330C2×C22⋊C4—341no—
1331C2×C22⋊C4C22⋊D1711yescharacteristic
1332C2×C22⋊C4C22⋊D1711yescharacteristic
1333C2×C42—21no—
1334C2×C42—21no—
1335C2×C42—21no—
1336C2×C42—341no—
1337C2×C42C22×D1711yescharacteristic
1338#107—171no—
1339#107—171no—
1340#107—171no—
1341#107—171no—
1342#107—171no—
1343#107—171no—
1344#106—171no—
1345#106—171no—
1346#106—171no—
1347#106—171no—
1348#106—171no—
1349#106—171no—
1350C4⋊C8—171no—
1351C4⋊C8—171no—
1352C4⋊C8—171no—
1353C4⋊C8—171no—
1354#103—171no—
1355#103—171no—
1356#103—171no—
1357#103—171no—
1358#103—171no—
1359#103—171no—
1360#103—171no—
1361#103—171no—
1362#103—171no—
1363#103—171no—
1364#103—171no—
1365#103—171no—
1366#103—171no—
1367#103—171no—
1368#103—171no—
1369#103—171no—
1370#103—171no—
1371#103—171no—
1372#103—171no—
1373#103—171no—
1374#102—171no—
1375#102—171no—
1376#102—171no—
1377#102—171no—
1378#102—171no—
1379#102—171no—
1380#102—171no—
1381#102—171no—
1382#102—171no—
1383#102—171no—
1384#102—171no—
1385#102—171no—
1386#102—171no—
1387#102—171no—
1388#102—171no—
1389#102—171no—
1390#102—171no—
1391#102—171no—
1392#102—171no—
1393#102—171no—
1394C22⋊C8—171no—
1395C22⋊C8—171no—
1396C22⋊C8—171no—
1397C22⋊C8—171no—
1398C22⋊C8—171no—
1399C22⋊C8—171no—
1400C22⋊C8—171no—
1401C22⋊C8—171no—
1402#97—171no—
1403#97—171no—
1404#97—171no—
1405#97—171no—
1406C17#6114111yescharacteristic, complemented, Sylow
1407C24—341no—
1408C24—341no—
1409C24C2×C22⋊D1711yescharacteristic
1410C24C2×C22⋊D1711yescharacteristic
1411#41—22no—
1412#41—22no—
1413#41—44no—
1414#41—174no—
1415#41—342no—
1416#41—342no—
1417#41—342no—
1418#41—342no—
1419#41—342no—
1420#41—342no—
1421#41—342no—
1422#41—342no—
1423#41—342no—
1424#41—684no—
1425#41—684no—
1426#41—681no—
1427#41—681no—
1428#41—681no—
1429#41—681no—
1430#41—684no—
1431#41—684no—
1432C2×Q8—21no—
1433C2×Q8—21no—
1434C2×Q8—171no—
1435C2×Q8—171no—
1436C2×Q8—171no—
1437C2×Q8—342no—
1438C2×Q8—342no—
1439C2×Q8—341no—
1440C2×Q8—341no—
1441C2×Q8—681no—
1442C2×Q8—681no—
1443C2×Q8C23×D1711yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—42no—
1450C2×D4—171no—
1451C2×D4—171no—
1452C2×D4—171no—
1453C2×D4—342no—
1454C2×D4—342no—
1455C2×D4—341no—
1456C2×D4—341no—
1457C2×D4—341no—
1458C2×D4—341no—
1459C2×D4—341no—
1460C2×D4—341no—
1461C2×D4—341no—
1462C2×D4—341no—
1463C2×D4—341no—
1464C2×D4—341no—
1465C2×D4—341no—
1466C2×D4—341no—
1467C2×D4—341no—
1468C2×D4—341no—
1469C2×D4—341no—
1470C2×D4—681no—
1471C2×D4—681no—
1472C2×D4—684no—
1473C2×D4—684no—
1474C2×D4—684no—
1475C2×D4C2×C22⋊D1711yescharacteristic
1476C2×D4C2×C22⋊D1711yescharacteristic
1477C2×D4C2×C22⋊D1711yescharacteristic
1478C2×D4C2×C22⋊D1711yescharacteristic
1479C2×D4C23×D1711yescharacteristic
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—341no—
1492C22×C4—341no—
1493C22×C4—341no—
1494C22×C4—341no—
1495C22×C4—341no—
1496C22×C4—341no—
1497C22×C4—341no—
1498C22×C4—341no—
1499C22×C4—341no—
1500C22×C4—341no—
1501C22×C4—341no—
1502C22×C4—684no—
1503C22×C4—684no—
1504C22×C4C2×C22⋊D1711yescharacteristic
1505C22×C4C2×C22⋊D1711yescharacteristic
1506C22×C4C2×C22⋊D1711yescharacteristic
1507C22×C4C2×C22⋊D1711yescharacteristic
1508C22×C4C2×C22⋊D1711yescharacteristic
1509C22×C4C2×C22⋊D1711yescharacteristic
1510C22×C4C2×C22⋊D1711yescharacteristic
1511C22×C4C2×C22⋊D1711yescharacteristic
1512C22×C4C23×D1711yescharacteristic
1513C22×C4C23×D1711yescharacteristic
1514C22×C4C23×D1711yescharacteristic
1515C22×C4C23×D1711yescharacteristic
1516C22×C4C23×D1711yescharacteristic
1517Q16—342no—
1518Q16—681no—
1519Q16—681no—
1520SD16—342no—
1521SD16—342no—
1522SD16—681no—
1523SD16—681no—
1524SD16—681no—
1525SD16—681no—
1526D8—342no—
1527D8—681no—
1528D8—681no—
1529M16—681no—
1530M16—681no—
1531M16—681no—
1532M16—681no—
1533C2×C8—171no—
1534C2×C8—171no—
1535C2×C8—171no—
1536C2×C8—171no—
1537C2×C8—171no—
1538C2×C8—171no—
1539C2×C8—171no—
1540C2×C8—171no—
1541C2×C8—342no—
1542C2×C8—342no—
1543C2×C8—342no—
1544C2×C8—342no—
1545C2×C8—681no—
1546C2×C8—681no—
1547C2×C8—681no—
1548C2×C8—681no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—171no—
1566C4⋊C4—171no—
1567C4⋊C4—341no—
1568C4⋊C4—341no—
1569C4⋊C4—341no—
1570C4⋊C4—341no—
1571C4⋊C4—341no—
1572C4⋊C4—341no—
1573C4⋊C4—341no—
1574C4⋊C4—341no—
1575C4⋊C4C2×C22⋊D1711yescharacteristic
1576C4⋊C4C2×C22⋊D1711yescharacteristic
1577C4⋊C4C2×C22⋊D1711yescharacteristic
1578C4⋊C4C2×C22⋊D1711yescharacteristic
1579C4⋊C4C23×D1711yescharacteristic
1580C4⋊C4C23×D1711yescharacteristic
1581C4⋊C4C23×D1711yescharacteristic
1582C4⋊C4C23×D1711yescharacteristic
1583C4⋊C4C23×D1711yescharacteristic
1584C4⋊C4C23×D1711yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—341no—
1603C22⋊C4—341no—
1604C22⋊C4—341no—
1605C22⋊C4—341no—
1606C22⋊C4—341no—
1607C22⋊C4—341no—
1608C22⋊C4—341no—
1609C22⋊C4—341no—
1610C22⋊C4—341no—
1611C22⋊C4—341no—
1612C22⋊C4—341no—
1613C22⋊C4—341no—
1614C22⋊C4—341no—
1615C22⋊C4—341no—
1616C22⋊C4—341no—
1617C22⋊C4C2×C22⋊D1711yescharacteristic
1618C22⋊C4C2×C22⋊D1711yescharacteristic
1619C22⋊C4C2×C22⋊D1711yescharacteristic
1620C22⋊C4C2×C22⋊D1711yescharacteristic
1621C22⋊C4C2×C22⋊D1711yescharacteristic
1622C22⋊C4C2×C22⋊D1711yescharacteristic
1623C22⋊C4C2×C22⋊D1711yescharacteristic
1624C22⋊C4C2×C22⋊D1711yescharacteristic
1625C42—21no—
1626C42—21no—
1627C42—21no—
1628C42—21no—
1629C42—21no—
1630C42—21no—
1631C42—21no—
1632C42—21no—
1633C42—21no—
1634C42—341no—
1635C42—341no—
1636C42—341no—
1637C42C2×C22⋊D1711yescharacteristic
1638C42C2×C22⋊D1711yescharacteristic
1639C42C23×D1711yescharacteristic
1640C42C23×D1711yescharacteristic
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—21no—
1645C23—41no—
1646C23—41no—
1647C23—41no—
1648C23—341no—
1649C23—341no—
1650C23—341no—
1651C23—682no—
1652C23—682no—
1653C23—682no—
1654C23—682no—
1655C23—1361no—
1656C23—1361no—
1657C23C22×C22⋊D1711yescharacteristic
1658C23C22×C22⋊D1711yescharacteristic
1659C23C22×C22⋊D1711yescharacteristic
1660C23C22×C22⋊D1711yescharacteristic
1661C23C22×C22⋊D1711yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—42no—
1665Q8—81no—
1666Q8—172no—
1667Q8—341no—
1668Q8—341no—
1669Q8—341no—
1670Q8—341no—
1671Q8—341no—
1672Q8—682no—
1673Q8—682no—
1674D4—22no—
1675D4—22no—
1676D4—21no—
1677D4—21no—
1678D4—41no—
1679D4—41no—
1680D4—42no—
1681D4—42no—
1682D4—42no—
1683D4—81no—
1684D4—81no—
1685D4—172no—
1686D4—344no—
1687D4—341no—
1688D4—341no—
1689D4—341no—
1690D4—341no—
1691D4—341no—
1692D4—682no—
1693D4—682no—
1694D4—682no—
1695D4—682no—
1696D4—682no—
1697D4—682no—
1698D4—682no—
1699D4—682no—
1700D4—682no—
1701D4—682no—
1702D4—682no—
1703D4—1361no—
1704D4—1361no—
1705D4—1361no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—42no—
1730C2×C4—42no—
1731C2×C4—42no—
1732C2×C4—42no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—341no—
1737C2×C4—344no—
1738C2×C4—341no—
1739C2×C4—341no—
1740C2×C4—341no—
1741C2×C4—341no—
1742C2×C4—682no—
1743C2×C4—682no—
1744C2×C4—682no—
1745C2×C4—682no—
1746C2×C4—682no—
1747C2×C4—682no—
1748C2×C4—682no—
1749C2×C4—682no—
1750C2×C4—682no—
1751C2×C4—1361no—
1752C2×C4#41×D1712yes—
1753C2×C4#1058769612yes—
1754C2×C4C22×C22⋊D1711yescharacteristic
1755C2×C4C22×C22⋊D1711yescharacteristic
1756C2×C4C22×C22⋊D1711yescharacteristic
1757C2×C4C22×C22⋊D1711yescharacteristic
1758C2×C4C22×C22⋊D1711yescharacteristic
1759C2×C4C22×C22⋊D1711yescharacteristic
1760C2×C4C22×C22⋊D1711yescharacteristic
1761C2×C4C22×C22⋊D1711yescharacteristic
1762C2×C4C22×C22⋊D1711yescharacteristic
1763C2×C4C24×D1711yescharacteristic
1764C8—341no—
1765C8—341no—
1766C8—341no—
1767C8—341no—
1768C8—341no—
1769C8—341no—
1770C8—341no—
1771C8—341no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—44no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—82no—
1790C22—342no—
1791C22—681no—
1792C22—681no—
1793C22—681no—
1794C22—681no—
1795C22—681no—
1796C22—681no—
1797C22—681no—
1798C22—681no—
1799C22—1364no—
1800C22—1364no—
1801C22#1176344712yes—
1802C22#1176360712yes—
1803C22C23×C22⋊D1711yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—21no—
1811C4—21no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—342no—
1820C4—681no—
1821C4—681no—
1822C4—681no—
1823C4—681no—
1824C4#1176344712yes—
1825C4C2×#41×D1711yescharacteristic
1826C4C2×#1058769611yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—41no—
1831C2—41no—
1832C2—81no—
1833C2—682no—
1834C2—1361no—
1835C2—1361no—
1836C2C2×#1176344711yescharacteristic
1837C2C2×#1176360711yescharacteristic
1838C2#1454355511yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3475C2
socleC22×C17C23×D4
hypercenter#3475D17
hypocenterC17#61141
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. D4×#63252C2semidirect
2. #14540964C2semidirect
3. #14540949C2semidirect
4. #14540934C2semidirect
5. #14540919C2semidirect
6. #14540904C2semidirect
7. #14540889C2semidirect
8. #14540874C2semidirect
9. #14540859C2semidirect
10. #14540844C2semidirect
11. #14540829C2semidirect
12. #14540814C2semidirect
13. #14540799C2semidirect
14. #14540784C2semidirect
15. #14540769C2semidirect
16. #14540754C2semidirect
17. #14540739C2semidirect
18. #14539132C2semidirect
19. #14538697C2semidirect
20. #14538697C2semidirect
21. #14538566C2semidirect
22. #14538390C2semidirect
23. #14538362C2semidirect
24. #14538239C2semidirect
25. #14538000C2semidirect
26. #14538000C2semidirect
27. #14537582C2semidirect
28. C2×#11762881C2semidirect
29. #14537301C2semidirect
30. C2×#11762803C2semidirect
31. C17×#3475C2semidirect
35. C2×#10587636C22semidirect
36. C2×#10587636C22semidirect
37. C22×#63223C22semidirect
38. C23×#3622C22semidirect
59. #11763179C22semidirect
60. #11763179C22semidirect
61. #11763175C22semidirect
62. #11763175C22semidirect
63. #11763171C22semidirect
64. #11763171C22semidirect
65. #11763171C22semidirect
66. #11763171C22semidirect
67. #11763150C22semidirect
68. #11763150C22semidirect
69. #11763150C22semidirect
70. #11763150C22semidirect
71. #11763144C22semidirect
72. #11763144C22semidirect
73. #11763139C22semidirect
74. #11763139C22semidirect
75. #11763133C22semidirect
76. #11763133C22semidirect
77. #11763133C22semidirect
78. #11763133C22semidirect
79. #11763127C22semidirect
80. #11763127C22semidirect
81. #11763122C22semidirect
82. #11763122C22semidirect
83. #11763113C22semidirect
84. #11763113C22semidirect
85. #11763106C22semidirect
86. #11763106C22semidirect
87. #11763101C22semidirect
88. #11763096C22semidirect
89. #11763091C22semidirect
90. #11763086C22semidirect
91. #11763065C22semidirect
92. #11763065C22semidirect
93. #11763060C22semidirect
94. #11763060C22semidirect
95. #11763057C22semidirect
96. #11763057C22semidirect
97. #11763053C22semidirect
98. #11763053C22semidirect
99. #11763048C22semidirect
100. #11763048C22semidirect
101. #11763043C22semidirect
102. #11763043C22semidirect
103. #11763040C22semidirect
104. #11763040C22semidirect
105. #11763036C22semidirect
106. #11763036C22semidirect
107. #11763031C22semidirect
108. #11763031C22semidirect
109. #11763024C22semidirect
110. #11763024C22semidirect
111. #11763019C22semidirect
112. #11763014C22semidirect
113. #11763009C22semidirect
114. #11763004C22semidirect
115. #11762969C22semidirect
116. #11762969C22semidirect
117. #11762969C22semidirect
118. #11762969C22semidirect
119. #11762964C22semidirect
120. #11762964C22semidirect
121. #11762959C22semidirect
122. #11762959C22semidirect
123. #11762952C22semidirect
124. #11762952C22semidirect
125. #11762952C22semidirect
126. #11762952C22semidirect
127. #11762947C22semidirect
128. #11762947C22semidirect
129. #11762942C22semidirect
130. #11762942C22semidirect
131. #11762919C22semidirect
132. #11762919C22semidirect
133. #11762914C22semidirect
134. #11762914C22semidirect
135. #11762909C22semidirect
136. #11762909C22semidirect
137. #11762907C22semidirect
138. #11762907C22semidirect
141. #11762881C22semidirect
142. #11762881C22semidirect
143. #11762881C22semidirect
144. #11762881C22semidirect
145. #11762881C22semidirect
146. #11762881C22semidirect
147. #11762845C22semidirect
148. #11762845C22semidirect
149. #11762845C22semidirect
150. C2×C4⋊#3622C22semidirect
151. #11762817C22semidirect
152. #11762817C22semidirect
153. #11762813C22semidirect
154. #11762813C22semidirect
155. #11762808C22semidirect
156. #11762808C22semidirect
157. #11762808C22semidirect
158. #11762808C22semidirect
159. #11762805C22semidirect
163. #11762803C22semidirect
164. #11762803C22semidirect
165. #11762803C22semidirect
166. #11762803C22semidirect
167. #11762803C22semidirect
168. #11762803C22semidirect
169. #11762803C22semidirect
170. #11762803C22semidirect
171. #11762803C22semidirect
172. #11762803C22semidirect
173. C2×#10587481C22semidirect
174. C2×#10587481C22semidirect
175. C2×#10587480C22semidirect
176. C2×#10587480C22semidirect
177. C2×C22⋊#3622C22semidirect
178. C2×C22⋊#3622C22semidirect
179. C2×#10587474C22semidirect
180. C17×#556C22semidirect
181. C17×#555C22semidirect
182. C17×#554C22semidirect
184. C17×#553C22semidirect
187. C17×#552C22semidirect
190. C17×#547C22semidirect
192. C17×#533C22semidirect
196. C17×#525C22semidirect
197. C17×#525C22semidirect
199. C4×#41×C17C22semidirect
201. C2×C17×#117C22semidirect
202. C2×C17×#117C22semidirect
565. #63252#41semidirect
853. #3475D17semidirect
946. #556C2×D17semidirect
947. #555C2×D17semidirect
948. #554C2×D17semidirect
950. #553C2×D17semidirect
953. #552C2×D17semidirect
962. #547C2×D17semidirect
970. #533C2×D17semidirect
980. #525C2×D17semidirect
981. #525C2×D17semidirect
984. C4×#41C2×D17semidirect
987. C2×#117C2×D17semidirect
988. C2×#117C2×D17semidirect
1406. C17#61141semidirect

Maximal subgroups

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

subgroupindex
D4×#632522
#145409642
#145409492
#145409342
#145409192
#145409042
#145408892
#145408742
#145408592
#145408442
#145408292
#145408142
#145407992
#145407842
#145407692
#145407542
#145407392
#145391322
#145386972
#145385662
#145383902
#145383622
#145382392
#145380002
#145375822
C2×#117628812
#145373012
C2×#117628032
C17×#34752
#6114117