Finite Group Databasebeta

← #17911097

Subgroups — #17911097

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
1#14542342C211yesmaximal, characteristic, complemented
2#14540970C211yesmaximal, characteristic, complemented
3#14540955C211yesmaximal, characteristic, complemented
4#14540940C211yesmaximal, characteristic, complemented
5#14540925C211yesmaximal, characteristic, complemented
6#14540910C211yesmaximal, characteristic, complemented
7#14540895C211yesmaximal, characteristic, complemented
8#14540880C211yesmaximal, characteristic, complemented
9#14540865C211yesmaximal, characteristic, complemented
10#14540850C211yesmaximal, characteristic, complemented
11#14540835C211yesmaximal, characteristic, complemented
12#14540820C211yesmaximal, characteristic, complemented
13#14540805C211yesmaximal, characteristic, complemented
14#14540790C211yesmaximal, characteristic, complemented
15#14540775C211yesmaximal, characteristic, complemented
16#14540760C211yesmaximal, characteristic, complemented
17#14540745C211yesmaximal, characteristic, complemented
18#14539129C211yesmaximal, characteristic, complemented
19#14538693C211yesmaximal, characteristic, complemented
20#14538693C211yesmaximal, characteristic, complemented
21#14538572C211yesmaximal, characteristic, complemented
22#14538390C211yesmaximal, characteristic, complemented
23#14538362C211yesmaximal, characteristic, complemented
24#14538233C211yesmaximal, characteristic, complemented
25#14538002C211yesmaximal, characteristic, complemented
26#14538002C211yesmaximal, characteristic, complemented
27#14537582C211yesmaximal, characteristic, complemented
28C2×#11762881C211yesmaximal, characteristic, complemented
29#14537303C211yesmaximal, characteristic, complemented
30C2×#11762805C211yesmaximal, characteristic, complemented
31D4×#41×C17C211yesmaximal, characteristic, complemented
32C2×#10587636C2211yescharacteristic
33C2×#10587636C2211yescharacteristic, complemented
34C2×#10587636C2211yescharacteristic, complemented
35C22×#63223C2211yescharacteristic, complemented
36C23×#3622C2211yescharacteristic, complemented
37#11763529C2211yescharacteristic, complemented
38#11763524C2211yescharacteristic, complemented
39#11763516C2211yescharacteristic, complemented
40#11763505C2211yescharacteristic
41#11763505C2211yescharacteristic, complemented
42#11763499C2211yescharacteristic
43#11763499C2211yescharacteristic, complemented
44#11763494—21no—
45#11763485—21no—
46#11763485—21no—
47#11763463C2211yescharacteristic, complemented
48#11763453—21no—
49#11763366C2211yescharacteristic, complemented
50#11763341—21no—
51#11763339—21no—
52#11763339—21no—
53#11763320C2211yescharacteristic, complemented
54#11763320C2211yescharacteristic, complemented
55C4×#63252C2211yescharacteristic, complemented
56C4×#63254—21no—
57C2×#10587612C2211yescharacteristic, complemented
58C2×#10587612C2211yescharacteristic, complemented
59#11763177C2211yescharacteristic, complemented
60#11763177C2211yescharacteristic, complemented
61#11763173C2211yescharacteristic, complemented
62#11763173C2211yescharacteristic, complemented
63#11763168C2211yescharacteristic, complemented
64#11763168C2211yescharacteristic, complemented
65#11763168C2211yescharacteristic, complemented
66#11763168C2211yescharacteristic, complemented
67#11763147C2211yescharacteristic, complemented
68#11763147C2211yescharacteristic, complemented
69#11763147C2211yescharacteristic, complemented
70#11763147C2211yescharacteristic, complemented
71#11763142C2211yescharacteristic, complemented
72#11763142C2211yescharacteristic, complemented
73#11763137C2211yescharacteristic, complemented
74#11763137C2211yescharacteristic, complemented
75#11763130C2211yescharacteristic, complemented
76#11763130C2211yescharacteristic, complemented
77#11763130C2211yescharacteristic, complemented
78#11763130C2211yescharacteristic, complemented
79#11763125C2211yescharacteristic, complemented
80#11763125C2211yescharacteristic, complemented
81#11763120C2211yescharacteristic, complemented
82#11763120C2211yescharacteristic, complemented
83#11763116C2211yescharacteristic, complemented
84#11763116C2211yescharacteristic, complemented
85#11763109C2211yescharacteristic, complemented
86#11763109C2211yescharacteristic, complemented
87#11763104C2211yescharacteristic, complemented
88#11763099C2211yescharacteristic, complemented
89#11763094C2211yescharacteristic, complemented
90#11763089C2211yescharacteristic, 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#11763028C2211yescharacteristic, complemented
108#11763028C2211yescharacteristic, complemented
109#11763021C2211yescharacteristic, complemented
110#11763021C2211yescharacteristic, complemented
111#11763016C2211yescharacteristic, complemented
112#11763011C2211yescharacteristic, complemented
113#11763006C2211yescharacteristic, complemented
114#11763001C2211yescharacteristic, complemented
115#11762971C2211yescharacteristic, complemented
116#11762971C2211yescharacteristic, complemented
117#11762971C2211yescharacteristic, complemented
118#11762971C2211yescharacteristic, complemented
119#11762965C2211yescharacteristic, complemented
120#11762965C2211yescharacteristic, complemented
121#11762960C2211yescharacteristic, complemented
122#11762960C2211yescharacteristic, complemented
123#11762954C2211yescharacteristic, complemented
124#11762954C2211yescharacteristic, complemented
125#11762954C2211yescharacteristic, complemented
126#11762954C2211yescharacteristic, complemented
127#11762948C2211yescharacteristic, complemented
128#11762948C2211yescharacteristic, complemented
129#11762943C2211yescharacteristic, complemented
130#11762943C2211yescharacteristic, 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#11762818C2211yescharacteristic, complemented
152#11762818C2211yescharacteristic, complemented
153#11762814C2211yescharacteristic, complemented
154#11762814C2211yescharacteristic, complemented
155#11762810C2211yescharacteristic, complemented
156#11762810C2211yescharacteristic, complemented
157#11762810C2211yescharacteristic, complemented
158#11762810C2211yescharacteristic, complemented
159#11762805C2211yescharacteristic
160#11762805C2211yescharacteristic
161#11762805C2211yescharacteristic
162#11762805C2211yescharacteristic, complemented
163#11762805C2211yescharacteristic, complemented
164#11762805C2211yescharacteristic, complemented
165#11762805C2211yescharacteristic, complemented
166#11762805C2211yescharacteristic, complemented
167#11762805C2211yescharacteristic, complemented
168#11762805C2211yescharacteristic, complemented
169#11762805C2211yescharacteristic, complemented
170#11762805C2211yescharacteristic, complemented
171#11762805C2211yescharacteristic, complemented
172#11762803C2211yescharacteristic, complemented
173C2×#10587506C2211yescharacteristic, complemented
174C2×#10587506C2211yescharacteristic, complemented
175C2×#10587503C2211yescharacteristic, complemented
176C2×#10587503C2211yescharacteristic, complemented
177C2×C22⋊#3622C2211yescharacteristic, complemented
178C2×C22⋊#3622C2211yescharacteristic, complemented
179C2×#10587474C2211yescharacteristic, complemented
180C22×#41×C17C2211yescharacteristic
181C22×#41×C17C2211yescharacteristic
182C17×#550C2211yescharacteristic
183D4×Q8×C17C2211yescharacteristic
184C17×#548C2211yescharacteristic
185C17×#548C2211yescharacteristic
186C17×#547—21no—
187C17×#547C2211yescharacteristic
188C17×#546—21no—
189C17×#546—21no—
190C17×#546C2211yescharacteristic
191C17×#546C2211yescharacteristic
192D42×C17—21no—
193D42×C17C2211yescharacteristic
194C17×#532—21no—
195C17×#532C2211yescharacteristic
196C17×#525—21no—
197C17×#525—21no—
198C17×#525C2211yescharacteristic
199C17×#525C2211yescharacteristic
200C4×#41×C17C2211yescharacteristic
201C2×C4×D4×C17—21no—
202C2×C4×D4×C17C2211yescharacteristic
203C2×#41×C17—21no—
204C2×#41×C17—21no—
205C2×#41×C17—21no—
206C2×#41×C17—21no—
207C2×#41×C17—24no—
208C2×#41×C17—24no—
209C2×#41×C17—42no—
210C2×#41×C17—42no—
211C2×#41×C17C2311yescharacteristic
212C2×#41×C17C2311yescharacteristic
213C2×#41×C17C2311yescharacteristic
214C2×#41×C17C2311yescharacteristic
215C2×#41×C17C2311yescharacteristic
216C2×#41×C17C2311yescharacteristic
217C2×#41×C17C2311yescharacteristic
218C22×Q8×C17C2311yescharacteristic
219C22×Q8×C17C2311yescharacteristic
220C22×D4×C17—21no—
221C22×D4×C17—21no—
222C22×D4×C17—21no—
223C22×D4×C17D411yescharacteristic
224C22×D4×C17C2311yescharacteristic
225C22×D4×C17C2311yescharacteristic
226C23×C4×C17—21no—
227C23×C4×C17—21no—
228C23×C4×C17C2311yescharacteristic
229C23×C4×C17C2311yescharacteristic
230C2×#63254—21no—
231C2×#63252C2311yescharacteristic
232C17×C4⋊Q8—21no—
233C17×C4⋊Q8C2311yescharacteristic
234C17×#127—21no—
235C17×#127C2311yescharacteristic
236C17×#124—21no—
237C17×#124—21no—
238C17×#124C2311yescharacteristic
239C17×#124C2311yescharacteristic
240C17×#123—21no—
241C17×#123—21no—
242C17×#123—21no—
243C17×#123—21no—
244C17×#123—21no—
245C17×#123—21no—
246C17×C22⋊Q8—21no—
247C17×C22⋊Q8—21no—
248C17×C22⋊Q8—21no—
249C17×C22⋊Q8—21no—
250C17×C22⋊Q8C2311yescharacteristic
251C17×C22⋊Q8C2311yescharacteristic
252C17×C22⋊Q8C2311yescharacteristic
253C17×C22⋊Q8C2311yescharacteristic
254C17×#121—21no—
255C17×#121—21no—
256C17×#121—21no—
257C17×#121—21no—
258C17×#121—21no—
259C17×#121—21no—
260C17×#121—21no—
261C17×#121—21no—
262C17×#121—21no—
263C17×#121—21no—
264C17×#121C2311yescharacteristic
265C17×#121C2311yescharacteristic
266C17×#121C2311yescharacteristic
267C17×#121C2311yescharacteristic
268C17×#120—21no—
269C17×#120—21no—
270C17×#120—21no—
271C17×#120—21no—
272C17×#120—21no—
273C17×#120—21no—
274C4×Q8×C17C2311yescharacteristic
275C4×Q8×C17C2311yescharacteristic
276C4×D4×C17—21no—
277C4×D4×C17—21no—
278C4×D4×C17—21no—
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×#117C2311yescharacteristic
300C2×C4⋊C4×C17—21no—
301C2×C4⋊C4×C17D411yescharacteristic
302C2×C22⋊C4×C17—21no—
303C2×C22⋊C4×C17—21no—
304C2×C22⋊C4×C17D411yescharacteristic
305C2×C22⋊C4×C17D411yescharacteristic
306C2×C42×C17—21no—
307C2×C42×C17C2311yescharacteristic
308#10587639—21no—
309#10587639—21no—
310C2×C22⋊Dic17—21no—
311C2×C22⋊Dic17—21no—
312#10587636—24no—
313#10587636—42no—
314#10587636—42no—
315C2×#63231C2311yescharacteristic
316C2×#63231C2311yescharacteristic
317C2×#63231C2311yescharacteristic
318C2×#63230C2311yescharacteristic
319C2×#63230C2311yescharacteristic
320C2×#63230C2311yescharacteristic
321#10587625—21no—
322#10587625—21no—
323#10587624—21no—
324#10587622—21no—
325#10587621—21no—
326#10587621—21no—
327D4×Dic17—21no—
328C2×#63229C2311yescharacteristic
329C2×#63229C2311yescharacteristic
330C2×#63229C2311yescharacteristic
331C2×#63228C2311yescharacteristic
332C2×#63228C2311yescharacteristic
333C2×#63228C2311yescharacteristic
334#10587616C2311yescharacteristic
335#10587616C2311yescharacteristic
336#10587616C2311yescharacteristic
337#10587616C2311yescharacteristic
338#10587615—21no—
339#10587615—21no—
340C4×C22⋊D17—21no—
341C4×C22⋊D17—21no—
342C4×C22⋊D17—21no—
343C4×C22⋊D17—21no—
344C4×C22⋊D17—21no—
345C4×C22⋊D17—21no—
346#10587612—21no—
347#10587612—21no—
348#10587612—21no—
349#10587612—21no—
350#10587612C2311yescharacteristic
351#10587612C2311yescharacteristic
352#10587612C2311yescharacteristic
353#10587612C2311yescharacteristic
354#10587612C2311yescharacteristic
355#10587612C2311yescharacteristic
356#10587612C2311yescharacteristic
357C2×C4⋊Dic17C2311yescharacteristic
358C2×C4⋊Dic17C2311yescharacteristic
359C2×C4⋊Dic17C2311yescharacteristic
360C2×C4⋊Dic17C2311yescharacteristic
361#10587610—21no—
362#10587610—21no—
363#10587610C2311yescharacteristic
364#10587610C2311yescharacteristic
365#10587610C2311yescharacteristic
366#10587610C2311yescharacteristic
367C2×C4×Dic17—21no—
368C2×C4×Dic17—21no—
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#10587584—21no—
384#10587584—21no—
385#10587583—21no—
386#10587578—21no—
387#10587576—21no—
388#10587575—21no—
389#10587575—21no—
390#10587573—21no—
391#10587572—21no—
392#10587572—21no—
393#10587571—21no—
394#10587571—21no—
395#10587569—21no—
396#10587569—21no—
397#10587567—21no—
398#10587567—21no—
399#10587565—21no—
400#10587565—21no—
401#10587565—21no—
402#10587565—21no—
403#10587564—21no—
404#10587564—21no—
405#10587563—21no—
406#10587563—21no—
407C4×D68C2311yescharacteristic
408C4×D68C2311yescharacteristic
409#10587558—21no—
410C42×D17—21no—
411#10587556C2311yescharacteristic
412#10587556C2311yescharacteristic
413#10587555C2311yescharacteristic
414#10587555C2311yescharacteristic
415C4×Dic34—21no—
416C4×Dic34—21no—
417C4×Dic34C2311yescharacteristic
418C4×Dic34C2311yescharacteristic
419#10587506C2311yescharacteristic
420#10587506C2311yescharacteristic
421#10587506C2311yescharacteristic
422#10587506C2311yescharacteristic
423#10587506C2311yescharacteristic
424#10587506C2311yescharacteristic
425#10587506C2311yescharacteristic
426#10587506C2311yescharacteristic
427#10587506C2311yescharacteristic
428#10587506C2311yescharacteristic
429#10587506C2311yescharacteristic
430#10587506C2311yescharacteristic
431#10587506C2311yescharacteristic
432#10587506C2311yescharacteristic
433#10587506C2311yescharacteristic
434#10587506C2311yescharacteristic
435#10587506C2311yescharacteristic
436#10587506C2311yescharacteristic
437#10587503C2311yescharacteristic
438#10587503C2311yescharacteristic
439#10587503C2311yescharacteristic
440#10587503C2311yescharacteristic
441#10587503C2311yescharacteristic
442#10587503C2311yescharacteristic
443#10587503C2311yescharacteristic
444#10587503C2311yescharacteristic
445#10587503C2311yescharacteristic
446#10587503C2311yescharacteristic
447#10587503C2311yescharacteristic
448#10587503C2311yescharacteristic
449#10587503C2311yescharacteristic
450#10587503C2311yescharacteristic
451#10587503C2311yescharacteristic
452#10587503C2311yescharacteristic
453#10587503C2311yescharacteristic
454#10587503C2311yescharacteristic
455C22⋊#3622C2311yescharacteristic
456C22⋊#3622C2311yescharacteristic
457C22⋊#3622C2311yescharacteristic
458C22⋊#3622C2311yescharacteristic
459C22⋊#3622C2311yescharacteristic
460C22⋊#3622C2311yescharacteristic
461C22⋊#3622C2311yescharacteristic
462C22⋊#3622C2311yescharacteristic
463#10587481C2311yescharacteristic
464#10587481C2311yescharacteristic
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×C17—21no—
488C24×C17—21no—
489C24×C17C2×D411yescharacteristic
490C24×C17C2×D411yescharacteristic
491#41×C17—22no—
492#41×C17—22no—
493#41×C17—22no—
494#41×C17—22no—
495#41×C17—22no—
496#41×C17—22no—
497#41×C17—22no—
498#41×C17—22no—
499#41×C17—22no—
500#41×C17—44no—
501#41×C17—44no—
502#41×C17—41no—
503#41×C17—41no—
504#41×C17—41no—
505#41×C17—41no—
506#41×C17—44no—
507#41×C17—44no—
508#41×C17#4114yescomplemented
509C2×Q8×C17—21no—
510C2×Q8×C17—21no—
511C2×Q8×C17—22no—
512C2×Q8×C17—22no—
513C2×Q8×C17—41no—
514C2×Q8×C17—41no—
515C2×Q8×C17C2411yescharacteristic
516C2×Q8×C17C2411yescharacteristic
517C2×Q8×C17C2411yescharacteristic
518C2×D4×C17—21no—
519C2×D4×C17—22no—
520C2×D4×C17—22no—
521C2×D4×C17—21no—
522C2×D4×C17—21no—
523C2×D4×C17—21no—
524C2×D4×C17—21no—
525C2×D4×C17—21no—
526C2×D4×C17—21no—
527C2×D4×C17—21no—
528C2×D4×C17—21no—
529C2×D4×C17—21no—
530C2×D4×C17—21no—
531C2×D4×C17—21no—
532C2×D4×C17—21no—
533C2×D4×C17—21no—
534C2×D4×C17—21no—
535C2×D4×C17—41no—
536C2×D4×C17—41no—
537C2×D4×C17—42no—
538C2×D4×C17—44no—
539C2×D4×C17—44no—
540C2×D4×C17—44no—
541C2×D4×C17C2×D411yescharacteristic
542C2×D4×C17C2×D411yescharacteristic
543C2×D4×C17C2×D411yescharacteristic
544C2×D4×C17C2×D411yescharacteristic
545C2×D4×C17C2411yescharacteristic
546C2×D4×C17C2411yescharacteristic
547C2×D4×C17C2411yescharacteristic
548C22×C4×C17—21no—
549C22×C4×C17—22no—
550C22×C4×C17—22no—
551C22×C4×C17—22no—
552C22×C4×C17—22no—
553C22×C4×C17—21no—
554C22×C4×C17—21no—
555C22×C4×C17—21no—
556C22×C4×C17—21no—
557C22×C4×C17—21no—
558C22×C4×C17—21no—
559C22×C4×C17—21no—
560C22×C4×C17—21no—
561C22×C4×C17—21no—
562C22×C4×C17—21no—
563C22×C4×C17—44no—
564C22×C4×C17—44no—
565C22×C4×C17C2×D411yescharacteristic
566C22×C4×C17C2×D411yescharacteristic
567C22×C4×C17C2×D411yescharacteristic
568C22×C4×C17C2×D411yescharacteristic
569C22×C4×C17C2×D411yescharacteristic
570C22×C4×C17C2×D411yescharacteristic
571C22×C4×C17C2×D411yescharacteristic
572C22×C4×C17C2×D411yescharacteristic
573C22×C4×C17C2411yescharacteristic
574C22×C4×C17C2411yescharacteristic
575C22×C4×C17C2411yescharacteristic
576C22×C4×C17C2411yescharacteristic
577C22×C4×C17C2411yescharacteristic
578C2×C22⋊D17—21no—
579C2×C22⋊D17—21no—
580C2×C22⋊D17—21no—
581C2×C22⋊D17—21no—
582C2×C22⋊D17—21no—
583C22×Dic17—21no—
584C22×Dic17—21no—
585C22×Dic17—21no—
586C22×Dic17—21no—
587#63254—44no—
588#63252—22no—
589#63252—22no—
590C2×D68C2411yescharacteristic
591C2×C4×D17—21no—
592C2×C4×D17—21no—
593C2×C4×D17—21no—
594C2×Dic34—21no—
595C2×Dic34—21no—
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×C17C2×D411yescharacteristic
606C4⋊C4×C17C2×D411yescharacteristic
607C4⋊C4×C17C2×D411yescharacteristic
608C4⋊C4×C17C2×D411yescharacteristic
609C4⋊C4×C17C2411yescharacteristic
610C4⋊C4×C17C2411yescharacteristic
611C22⋊C4×C17—21no—
612C22⋊C4×C17—21no—
613C22⋊C4×C17—21no—
614C22⋊C4×C17—21no—
615C22⋊C4×C17—21no—
616C22⋊C4×C17—21no—
617C22⋊C4×C17—21no—
618C22⋊C4×C17—21no—
619C22⋊C4×C17—21no—
620C22⋊C4×C17—21no—
621C22⋊C4×C17—21no—
622C22⋊C4×C17—21no—
623C22⋊C4×C17—21no—
624C22⋊C4×C17—21no—
625C22⋊C4×C17—21no—
626C22⋊C4×C17C2×D411yescharacteristic
627C22⋊C4×C17C2×D411yescharacteristic
628C22⋊C4×C17C2×D411yescharacteristic
629C22⋊C4×C17C2×D411yescharacteristic
630C22⋊C4×C17C2×D411yescharacteristic
631C22⋊C4×C17C2×D411yescharacteristic
632C22⋊C4×C17C2×D411yescharacteristic
633C22⋊C4×C17C2×D411yescharacteristic
634C42×C17—21no—
635C42×C17—21no—
636C42×C17—21no—
637C42×C17C2×D411yescharacteristic
638C42×C17C2×D411yescharacteristic
639C42×C17C2411yescharacteristic
640C42×C17C2411yescharacteristic
641C22⋊Dic17—21no—
642C22⋊Dic17—21no—
643C22⋊Dic17—21no—
644C22⋊Dic17—21no—
645C22⋊Dic17—21no—
646C22⋊Dic17—21no—
647C22⋊Dic17—21no—
648C22⋊Dic17—21no—
649C22⋊Dic17—21no—
650C22⋊Dic17—21no—
651C22⋊Dic17—21no—
652#63231—22no—
653#63231—41no—
654#63231—41no—
655#63230—22no—
656#63230—41no—
657#63230—41no—
658#63229—22no—
659#63229—41no—
660#63229—41no—
661#63228—22no—
662#63228—41no—
663#63228—41no—
664#63227—21no—
665#63227—21no—
666#63227—21no—
667#63227—21no—
668#63227—21no—
669#63227—21no—
670C4⋊Dic17—21no—
671C4⋊Dic17—21no—
672C4⋊Dic17—21no—
673C4⋊Dic17—21no—
674C4⋊Dic17—21no—
675C4⋊Dic17—21no—
676C4⋊Dic17C2411yescharacteristic
677C4⋊Dic17C2411yescharacteristic
678C4⋊Dic17C2411yescharacteristic
679C4⋊Dic17C2411yescharacteristic
680C4⋊Dic17C2411yescharacteristic
681C4⋊Dic17C2411yescharacteristic
682#63225—21no—
683#63225—21no—
684#63225—21no—
685#63225—21no—
686#63225—21no—
687#63225—21no—
688#63225—21no—
689#63225—21no—
690#63225—21no—
691#63225—21no—
692C4×Dic17—21no—
693C4×Dic17—21no—
694C4×Dic17—21no—
695C4×Dic17—21no—
696C4×Dic17—21no—
697C4×Dic17—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—21no—
725C23×C17—22no—
726C23×C17—21no—
727C23×C17—21no—
728C23×C17—41no—
729C23×C17—41no—
730C23×C17—41no—
731C23×C17—42no—
732C23×C17—42no—
733C23×C17—42no—
734C23×C17—42no—
735C23×C17—81no—
736C23×C17—81no—
737C23×C17C22×D411yescharacteristic
738C23×C17C22×D411yescharacteristic
739C23×C17C22×D411yescharacteristic
740C23×C17C22×D411yescharacteristic
741C23×C17C22×D411yescharacteristic
742C22×D17—21no—
743Q8×C17—21no—
744Q8×C17—21no—
745Q8×C17—21no—
746Q8×C17—21no—
747Q8×C17—21no—
748Q8×C17—42no—
749Q8×C17—42no—
750Q8×C17C2×#4112yes—
751D4×C17—24no—
752D4×C17—22no—
753D4×C17—22no—
754D4×C17—21no—
755D4×C17—21no—
756D4×C17—21no—
757D4×C17—21no—
758D4×C17—21no—
759D4×C17—41no—
760D4×C17—41no—
761D4×C17—42no—
762D4×C17—42no—
763D4×C17—42no—
764D4×C17—42no—
765D4×C17—42no—
766D4×C17—42no—
767D4×C17—42no—
768D4×C17—42no—
769D4×C17—42no—
770D4×C17—42no—
771D4×C17—42no—
772D4×C17—81no—
773D4×C17—81no—
774D4×C17—81no—
775D4×C17C2×#4112yes—
776C2×C4×C17—22no—
777C2×C4×C17—22no—
778C2×C4×C17—21no—
779C2×C4×C17—22no—
780C2×C4×C17—22no—
781C2×C4×C17—22no—
782C2×C4×C17—22no—
783C2×C4×C17—24no—
784C2×C4×C17—21no—
785C2×C4×C17—21no—
786C2×C4×C17—21no—
787C2×C4×C17—21no—
788C2×C4×C17—21no—
789C2×C4×C17—21no—
790C2×C4×C17—21no—
791C2×C4×C17—21no—
792C2×C4×C17—21no—
793C2×C4×C17—21no—
794C2×C4×C17—21no—
795C2×C4×C17—21no—
796C2×C4×C17—41no—
797C2×C4×C17—41no—
798C2×C4×C17—42no—
799C2×C4×C17—42no—
800C2×C4×C17—42no—
801C2×C4×C17—42no—
802C2×C4×C17—42no—
803C2×C4×C17—42no—
804C2×C4×C17—42no—
805C2×C4×C17—42no—
806C2×C4×C17—42no—
807C2×C4×C17—81no—
808C2×C4×C17C22×D411yescharacteristic
809C2×C4×C17C22×D411yescharacteristic
810C2×C4×C17C22×D411yescharacteristic
811C2×C4×C17C22×D411yescharacteristic
812C2×C4×C17C22×D411yescharacteristic
813C2×C4×C17C22×D411yescharacteristic
814C2×C4×C17C22×D411yescharacteristic
815C2×C4×C17C22×D411yescharacteristic
816C2×C4×C17C22×D411yescharacteristic
817C2×C4×C17C2×#4112yes—
818C2×C4×C17H(5,𝔽2)12yes—
819C2×C4×C17C2511yescharacteristic
820C22⋊D17—42no—
821C22⋊D17—42no—
822C22⋊D17—42no—
823C22⋊D17—81no—
824C22⋊D17—81no—
825C2×Dic17—21no—
826C2×Dic17—21no—
827C2×Dic17—21no—
828C2×Dic17—21no—
829C2×Dic17—21no—
830C2×Dic17—21no—
831C2×Dic17—21no—
832C2×Dic17—42no—
833C2×Dic17—42no—
834C2×Dic17—81no—
835C2×Dic17—81no—
836D68—21no—
837D68—21no—
838C4×D17—42no—
839C4×D17—42no—
840C4×D17—81no—
841Dic34—21no—
842Dic34—21no—
843Dic34—42no—
844Dic34—81no—
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#3475—171no—
854D4×#41D1711yescharacteristic, complemented
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—22no—
895C22×C17—21no—
896C22×C17—21no—
897C22×C17—21no—
898C22×C17—44no—
899C22×C17—41no—
900C22×C17—41no—
901C22×C17—41no—
902C22×C17—41no—
903C22×C17—41no—
904C22×C17—41no—
905C22×C17—41no—
906C22×C17—41no—
907C22×C17—82no—
908C22×C17—84no—
909C22×C17—84no—
910C22×C17#54612yes—
911C22×C17#57512yes—
912C22×C17C23×D411yescharacteristic
913C2×D17—41no—
914C2×D17—41no—
915C2×D17—41no—
916C4×C17—21no—
917C4×C17—21no—
918C4×C17—21no—
919C4×C17—21no—
920C4×C17—21no—
921C4×C17—21no—
922C4×C17—22no—
923C4×C17—21no—
924C4×C17—21no—
925C4×C17—41no—
926C4×C17—41no—
927C4×C17—41no—
928C4×C17—41no—
929C4×C17#54612yes—
930C4×C17C22×#4111yescharacteristic
931C4×C17C2×H(5,𝔽2)11yescharacteristic
932Dic17—41no—
933Dic17—41no—
934Dic17—41no—
935Dic17—41no—
936Dic17—41no—
937Dic17—41no—
938Dic17—41no—
939C22×#41C2×D1711yescharacteristic
940C22×#41C2×D1711yescharacteristic
941C2×#135—171no—
942C2×#135—171no—
943C2×#135—171no—
944C22×M16—171no—
945C23×C8—171no—
946#556—171no—
947#555—171no—
948#554—171no—
949#553—171no—
950#553—171no—
951#552—171no—
952#552—171no—
953#552—341no—
954#551—341no—
955#551—341no—
956#550C2×D1711yescharacteristic
957D4×Q8C2×D1711yescharacteristic
958#548C2×D1711yescharacteristic
959#548C2×D1711yescharacteristic
960#547—21no—
961#547—171no—
962#547C2×D1711yescharacteristic
963#546—21no—
964#546—21no—
965#546—341no—
966#546C2×D1711yescharacteristic
967#546C2×D1711yescharacteristic
968D42—21no—
969D42C2×D1711yescharacteristic
970#533—171no—
971#532—21no—
972#532C2×D1711yescharacteristic
973#529—341no—
974#529—341no—
975#529—341no—
976#525—21no—
977#525—21no—
978#525—171no—
979#525—171no—
980#525C2×D1711yescharacteristic
981#525C2×D1711yescharacteristic
982C4×#41—171no—
983C4×#41—341no—
984C4×#41C2×D1711yescharacteristic
985C2×C4×D4—21no—
986C2×C4×D4C2×D1711yescharacteristic
987C2×#117—171no—
988C2×#117—171no—
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—42no—
1116C2×C17—81no—
1117C2×C17—81no—
1118C2×C17C2×#54611yescharacteristic
1119C2×C17C2×#57511yescharacteristic
1120C2×C17#358411yescharacteristic
1121D17—81no—
1122C2×#41—21no—
1123C2×#41—21no—
1124C2×#41—21no—
1125C2×#41—21no—
1126C2×#41—24no—
1127C2×#41—24no—
1128C2×#41—42no—
1129C2×#41—42no—
1130C2×#41—171no—
1131C2×#41—341no—
1132C2×#41C22×D1711yescharacteristic
1133C2×#41C22×D1711yescharacteristic
1134C2×#41C22×D1711yescharacteristic
1135C2×#41C22×D1711yescharacteristic
1136C2×#41C22×D1711yescharacteristic
1137C2×#41C22×D1711yescharacteristic
1138C2×#41C22×D1711yescharacteristic
1139C22×Q8C22×D1711yescharacteristic
1140C22×Q8C22×D1711yescharacteristic
1141C22×D4—21no—
1142C22×D4—21no—
1143C22×D4—21no—
1144C22×D4C22⋊D1711yescharacteristic
1145C22×D4C22×D1711yescharacteristic
1146C22×D4C22×D1711yescharacteristic
1147C23×C4—21no—
1148C23×C4—21no—
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—21no—
1181C4⋊Q8—171no—
1182C4⋊Q8—171no—
1183C4⋊Q8C22×D1711yescharacteristic
1184#127—21no—
1185#127C22×D1711yescharacteristic
1186#126—341no—
1187#126—341no—
1188#126—341no—
1189#126—341no—
1190#126—341no—
1191#126—341no—
1192#125—171no—
1193#125—171no—
1194#125—341no—
1195#125—341no—
1196#125—341no—
1197#124—21no—
1198#124—21no—
1199#124—341no—
1200#124—341no—
1201#124—341no—
1202#124C22×D1711yescharacteristic
1203#124C22×D1711yescharacteristic
1204#123—21no—
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—21no—
1210#123—341no—
1211#123—341no—
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—171no—
1223C22⋊Q8—171no—
1224C22⋊Q8—171no—
1225C22⋊Q8—171no—
1226C22⋊Q8—341no—
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—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121—21no—
1245#121—171no—
1246#121—171no—
1247#121—171no—
1248#121—171no—
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—21no—
1259#120—21no—
1260#120—21no—
1261#120—21no—
1262#120—341no—
1263#120—341no—
1264C4×Q8—171no—
1265C4×Q8—171no—
1266C4×Q8—341no—
1267C4×Q8—341no—
1268C4×Q8—341no—
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—21no—
1281C4×D4—21no—
1282C4×D4—21no—
1283C4×D4—171no—
1284C4×D4—171no—
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—171no—
1306#117—171no—
1307#117—171no—
1308#117—171no—
1309#117—171no—
1310#117—171no—
1311#117—171no—
1312#117—341no—
1313#117—341no—
1314#117—341no—
1315#117—341no—
1316#117—341no—
1317#117—341no—
1318#117—341no—
1319#117—341no—
1320#117C22×D1711yescharacteristic
1321C2×C4⋊C4—21no—
1322C2×C4⋊C4—171no—
1323C2×C4⋊C4—171no—
1324C2×C4⋊C4—171no—
1325C2×C4⋊C4—171no—
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—341no—
1335C2×C42—341no—
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—21no—
1408C24—21no—
1409C24C2×C22⋊D1711yescharacteristic
1410C24C2×C22⋊D1711yescharacteristic
1411#41—22no—
1412#41—22no—
1413#41—22no—
1414#41—22no—
1415#41—22no—
1416#41—22no—
1417#41—22no—
1418#41—22no—
1419#41—22no—
1420#41—44no—
1421#41—44no—
1422#41—41no—
1423#41—41no—
1424#41—41no—
1425#41—41no—
1426#41—44no—
1427#41—44no—
1428#41—342no—
1429#41—342no—
1430#41—684no—
1431#41#6325414yescomplemented
1432C2×Q8—21no—
1433C2×Q8—21no—
1434C2×Q8—22no—
1435C2×Q8—22no—
1436C2×Q8—41no—
1437C2×Q8—41no—
1438C2×Q8—171no—
1439C2×Q8—341no—
1440C2×Q8—341no—
1441C2×Q8C23×D1711yescharacteristic
1442C2×Q8C23×D1711yescharacteristic
1443C2×Q8C23×D1711yescharacteristic
1444C2×D4—21no—
1445C2×D4—22no—
1446C2×D4—22no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—41no—
1462C2×D4—41no—
1463C2×D4—42no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—171no—
1468C2×D4—341no—
1469C2×D4—341no—
1470C2×D4—341no—
1471C2×D4—341no—
1472C2×D4—341no—
1473C2×D4C2×C22⋊D1711yescharacteristic
1474C2×D4C2×C22⋊D1711yescharacteristic
1475C2×D4C2×C22⋊D1711yescharacteristic
1476C2×D4C2×C22⋊D1711yescharacteristic
1477C2×D4C23×D1711yescharacteristic
1478C2×D4C23×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—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—341no—
1498C22×C4—341no—
1499C22×C4—341no—
1500C22×C4—341no—
1501C22×C4—341no—
1502C22×C4—341no—
1503C22×C4—341no—
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—171no—
1558C4⋊C4—171no—
1559C4⋊C4—171no—
1560C4⋊C4—171no—
1561C4⋊C4—171no—
1562C4⋊C4—171no—
1563C4⋊C4—341no—
1564C4⋊C4—341no—
1565C4⋊C4—341no—
1566C4⋊C4—341no—
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⋊C4—341no—
1576C4⋊C4—341no—
1577C4⋊C4—341no—
1578C4⋊C4—341no—
1579C4⋊C4C2×C22⋊D1711yescharacteristic
1580C4⋊C4C2×C22⋊D1711yescharacteristic
1581C4⋊C4C2×C22⋊D1711yescharacteristic
1582C4⋊C4C2×C22⋊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—341no—
1601C22⋊C4—341no—
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—341no—
1629C42—341no—
1630C42—341no—
1631C42—341no—
1632C42—341no—
1633C42—341no—
1634C42—341no—
1635C42—341no—
1636C42—341no—
1637C42C2×C22⋊D1711yescharacteristic
1638C42C2×C22⋊D1711yescharacteristic
1639C42C23×D1711yescharacteristic
1640C42C23×D1711yescharacteristic
1641C23—22no—
1642C23—21no—
1643C23—22no—
1644C23—22no—
1645C23—21no—
1646C23—21no—
1647C23—41no—
1648C23—41no—
1649C23—41no—
1650C23—42no—
1651C23—42no—
1652C23—42no—
1653C23—42no—
1654C23—81no—
1655C23—81no—
1656C23—341no—
1657C23C22×C22⋊D1711yescharacteristic
1658C23C22×C22⋊D1711yescharacteristic
1659C23C22×C22⋊D1711yescharacteristic
1660C23C22×C22⋊D1711yescharacteristic
1661C23C22×C22⋊D1711yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—42no—
1668Q8—42no—
1669Q8—341no—
1670Q8—341no—
1671Q8—682no—
1672Q8—1361no—
1673Q8C2×#6325412yes—
1674D4—22no—
1675D4—22no—
1676D4—24no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—41no—
1683D4—41no—
1684D4—42no—
1685D4—42no—
1686D4—42no—
1687D4—42no—
1688D4—42no—
1689D4—42no—
1690D4—42no—
1691D4—42no—
1692D4—42no—
1693D4—42no—
1694D4—42no—
1695D4—81no—
1696D4—81no—
1697D4—81no—
1698D4—341no—
1699D4—341no—
1700D4—682no—
1701D4—682no—
1702D4—682no—
1703D4—1361no—
1704D4—1361no—
1705D4C2×#6325412yes—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—42no—
1729C2×C4—42no—
1730C2×C4—42no—
1731C2×C4—42no—
1732C2×C4—42no—
1733C2×C4—42no—
1734C2×C4—42no—
1735C2×C4—42no—
1736C2×C4—42no—
1737C2×C4—81no—
1738C2×C4—341no—
1739C2×C4—341no—
1740C2×C4—341no—
1741C2×C4—341no—
1742C2×C4—341no—
1743C2×C4—341no—
1744C2×C4—341no—
1745C2×C4—682no—
1746C2×C4—682no—
1747C2×C4—682no—
1748C2×C4—682no—
1749C2×C4—1361no—
1750C2×C4—1361no—
1751C2×C4—1361no—
1752C2×C4C2×#6325412yes—
1753C2×C4#1058769112yes—
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—22no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—44no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—82no—
1796C22—84no—
1797C22—84no—
1798C22—681no—
1799C22—681no—
1800C22—681no—
1801C22#1176345312yes—
1802C22#1176360712yes—
1803C22C23×C22⋊D1711yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—22no—
1809C4—21no—
1810C4—21no—
1811C4—21no—
1812C4—21no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—681no—
1818C4—681no—
1819C4—681no—
1820C4—681no—
1821C4—681no—
1822C4—681no—
1823C4—681no—
1824C4#1176345312yes—
1825C4C22×#6325411yescharacteristic
1826C4C2×#1058769111yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—41no—
1831C2—41no—
1832C2—42no—
1833C2—81no—
1834C2—81no—
1835C2—1361no—
1836C2C2×#1176345311yescharacteristic
1837C2C2×#1176360711yescharacteristic
1838C2#1454355511yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingD4×#41×C17C2
socleC22×C17C23×D4
hypercenterD4×#41D17
hypocenterC17#61141
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. #14542342C2semidirect
2. #14540970C2semidirect
3. #14540955C2semidirect
4. #14540940C2semidirect
5. #14540925C2semidirect
6. #14540910C2semidirect
7. #14540895C2semidirect
8. #14540880C2semidirect
9. #14540865C2semidirect
10. #14540850C2semidirect
11. #14540835C2semidirect
12. #14540820C2semidirect
13. #14540805C2semidirect
14. #14540790C2semidirect
15. #14540775C2semidirect
16. #14540760C2semidirect
17. #14540745C2semidirect
18. #14539129C2semidirect
19. #14538693C2semidirect
20. #14538693C2semidirect
21. #14538572C2semidirect
22. #14538390C2semidirect
23. #14538362C2semidirect
24. #14538233C2semidirect
25. #14538002C2semidirect
26. #14538002C2semidirect
27. #14537582C2semidirect
28. C2×#11762881C2semidirect
29. #14537303C2semidirect
30. C2×#11762805C2semidirect
31. D4×#41×C17C2semidirect
33. C2×#10587636C22semidirect
34. C2×#10587636C22semidirect
35. C22×#63223C22semidirect
36. C23×#3622C22semidirect
37. #11763529C22semidirect
38. #11763524C22semidirect
39. #11763516C22semidirect
41. #11763505C22semidirect
43. #11763499C22semidirect
47. #11763463C22semidirect
49. #11763366C22semidirect
53. #11763320C22semidirect
54. #11763320C22semidirect
55. C4×#63252C22semidirect
57. C2×#10587612C22semidirect
58. C2×#10587612C22semidirect
59. #11763177C22semidirect
60. #11763177C22semidirect
61. #11763173C22semidirect
62. #11763173C22semidirect
63. #11763168C22semidirect
64. #11763168C22semidirect
65. #11763168C22semidirect
66. #11763168C22semidirect
67. #11763147C22semidirect
68. #11763147C22semidirect
69. #11763147C22semidirect
70. #11763147C22semidirect
71. #11763142C22semidirect
72. #11763142C22semidirect
73. #11763137C22semidirect
74. #11763137C22semidirect
75. #11763130C22semidirect
76. #11763130C22semidirect
77. #11763130C22semidirect
78. #11763130C22semidirect
79. #11763125C22semidirect
80. #11763125C22semidirect
81. #11763120C22semidirect
82. #11763120C22semidirect
83. #11763116C22semidirect
84. #11763116C22semidirect
85. #11763109C22semidirect
86. #11763109C22semidirect
87. #11763104C22semidirect
88. #11763099C22semidirect
89. #11763094C22semidirect
90. #11763089C22semidirect
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. #11763028C22semidirect
108. #11763028C22semidirect
109. #11763021C22semidirect
110. #11763021C22semidirect
111. #11763016C22semidirect
112. #11763011C22semidirect
113. #11763006C22semidirect
114. #11763001C22semidirect
115. #11762971C22semidirect
116. #11762971C22semidirect
117. #11762971C22semidirect
118. #11762971C22semidirect
119. #11762965C22semidirect
120. #11762965C22semidirect
121. #11762960C22semidirect
122. #11762960C22semidirect
123. #11762954C22semidirect
124. #11762954C22semidirect
125. #11762954C22semidirect
126. #11762954C22semidirect
127. #11762948C22semidirect
128. #11762948C22semidirect
129. #11762943C22semidirect
130. #11762943C22semidirect
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. #11762818C22semidirect
152. #11762818C22semidirect
153. #11762814C22semidirect
154. #11762814C22semidirect
155. #11762810C22semidirect
156. #11762810C22semidirect
157. #11762810C22semidirect
158. #11762810C22semidirect
162. #11762805C22semidirect
163. #11762805C22semidirect
164. #11762805C22semidirect
165. #11762805C22semidirect
166. #11762805C22semidirect
167. #11762805C22semidirect
168. #11762805C22semidirect
169. #11762805C22semidirect
170. #11762805C22semidirect
171. #11762805C22semidirect
172. #11762803C22semidirect
173. C2×#10587506C22semidirect
174. C2×#10587506C22semidirect
175. C2×#10587503C22semidirect
176. C2×#10587503C22semidirect
177. C2×C22⋊#3622C22semidirect
178. C2×C22⋊#3622C22semidirect
179. C2×#10587474C22semidirect
508. #41×C17#41semidirect
854. D4×#41D17semidirect
1406. C17#61141semidirect
1431. #41#63254semidirect

Maximal subgroups

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

subgroupindex
#145423422
#145409702
#145409552
#145409402
#145409252
#145409102
#145408952
#145408802
#145408652
#145408502
#145408352
#145408202
#145408052
#145407902
#145407752
#145407602
#145407452
#145391292
#145386932
#145385722
#145383902
#145383622
#145382332
#145380022
#145375822
C2×#117628812
#145373032
C2×#117628052
D4×#41×C172
#6114117