Finite Group Databasebeta

← #33978918

Subgroups — #33978918

Order 18688.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623880C211yesmaximal, characteristic, complemented
2#22623417C211yesmaximal, characteristic, complemented
3#22622976C211yesmaximal, characteristic, complemented
4#22622946C211yesmaximal, characteristic, complemented
5#22622726C211yesmaximal, characteristic, complemented
6#22622652C211yesmaximal, characteristic, complemented
7#22621928C211yesmaximal, characteristic, complemented
8#22621919C211yesmaximal, characteristic, complemented
9#22621898C211yesmaximal, characteristic, complemented
10#22621889C211yesmaximal, characteristic, complemented
11#22621791C211yesmaximal, characteristic, complemented
12#22621739C211yesmaximal, characteristic, complemented
13#22621624C211yesmaximal, characteristic, complemented
14#22621605C211yesmaximal, characteristic, complemented
15#22621423C211yesmaximal, characteristic, complemented
16#22621421C211yesmaximal, characteristic, complemented
17#22621408C211yesmaximal, characteristic, complemented
18#22621406C211yesmaximal, characteristic, complemented
19#22621292C211yesmaximal, characteristic, complemented
20#22621256C211yesmaximal, characteristic, complemented
21#22620916C211yesmaximal, characteristic, complemented
22#22620914C211yesmaximal, characteristic, complemented
23#22620863C211yesmaximal, characteristic, complemented
24#22620074C211yesmaximal, characteristic, complemented
25#22620065C211yesmaximal, characteristic, complemented
26#22619983C211yesmaximal, characteristic, complemented
27#22619393C211yesmaximal, characteristic, complemented
28C2×#17988803C211yesmaximal, characteristic, complemented
29#463×D73C211yesmaximal, characteristic, complemented
30#22619053C211yesmaximal, characteristic, complemented
31C73×#3247C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×#14556618C2211yescharacteristic, complemented
34C2×#14556615C2211yescharacteristic, complemented
35C22×#11924017C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic, complemented
37C22×D584C2211yescharacteristic
38C2×D8×D73C2211yescharacteristic
39#17989320C2211yescharacteristic, complemented
40#17989309C2211yescharacteristic, complemented
41#17989300—21no—
42#17989261—21no—
43#17989260—21no—
44#17989257C2211yescharacteristic, complemented
45#17989252C2211yescharacteristic, complemented
46#17989250C2211yescharacteristic, complemented
47#17989249C2211yescharacteristic, complemented
48#17989245—21no—
49#17989243C2211yescharacteristic, complemented
50#17989240C2211yescharacteristic, complemented
51#17989237C2211yescharacteristic
52#17989237C2211yescharacteristic, complemented
53#17989232C2211yescharacteristic, complemented
54#17989230—21no—
55#17989229—21no—
56#17989228C2211yescharacteristic, complemented
57#17989226—21no—
58#17989226—21no—
59#17989222C2211yescharacteristic, complemented
60#17989221C2211yescharacteristic
61#17989221C2211yescharacteristic, complemented
62#17989221C2211yescharacteristic, complemented
63#17989203—21no—
64#17989176—21no—
65#17989170—21no—
66#17989136C2211yescharacteristic, complemented
67#17989134C2211yescharacteristic, complemented
68#17989134C2211yescharacteristic, complemented
69#17989122C2211yescharacteristic, complemented
70#17989122C2211yescharacteristic, complemented
71C2×#14556579C2211yescharacteristic, complemented
72#124×D73C2211yescharacteristic, complemented
73#17989096—21no—
74#17989096—21no—
75#17989094—21no—
76#17989059—21no—
77C4×#11924028C2211yescharacteristic
78C2×C4×D292C2211yescharacteristic, complemented
79C4×D4×D73C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic, complemented
83#17988974C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988962C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988949C2211yescharacteristic, complemented
88#17988949C2211yescharacteristic, complemented
89#17988948C2211yescharacteristic, complemented
90#17988945C2211yescharacteristic, complemented
91#17988936C2211yescharacteristic, complemented
92#17988932C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic, complemented
95#17988915C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988884C2211yescharacteristic, complemented
100#17988884C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988841C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988834C2211yescharacteristic, complemented
108#17988832C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988817C2211yescharacteristic, complemented
112#17988815C2211yescharacteristic, complemented
113#17988805C2211yescharacteristic
114#17988804C2211yescharacteristic, complemented
115#17988803C2211yescharacteristic
116#17988803C2211yescharacteristic
117#17988803C2211yescharacteristic, complemented
118#17988803C2211yescharacteristic, complemented
119#17988803C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988802C2211yescharacteristic, complemented
125#17988802C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988799C2211yescharacteristic, complemented
130#17988799C2211yescharacteristic, complemented
131#17988791C2211yescharacteristic, complemented
132#17988790C2211yescharacteristic, complemented
133#17988786C2211yescharacteristic, complemented
134#17988786C2211yescharacteristic, complemented
135#17988781C2211yescharacteristic
136#17988781C2211yescharacteristic, complemented
137#17988781C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic, complemented
139#17988739C2211yescharacteristic, complemented
140#17988739C2211yescharacteristic, complemented
141#17988737C2211yescharacteristic, complemented
142#17988735C2211yescharacteristic, complemented
143#17988733C2211yescharacteristic, complemented
144#17988731C2211yescharacteristic, complemented
145#17988729C2211yescharacteristic, complemented
146#17988727C2211yescharacteristic, complemented
147#17988725C2211yescharacteristic, complemented
148#17988725C2211yescharacteristic, complemented
149#17988724C2211yescharacteristic, complemented
150#17988722C2211yescharacteristic
151#17988722C2211yescharacteristic
152#17988722C2211yescharacteristic, complemented
153#17988720C2211yescharacteristic
154#17988720C2211yescharacteristic, complemented
155#17988720C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988716C2211yescharacteristic, complemented
158#17988716C2211yescharacteristic, complemented
159#17988698C2211yescharacteristic, complemented
160#17988697C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic, complemented
163#17988686C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic, complemented
165#17988685C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988678C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169#17988669C2211yescharacteristic
170#17988667C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174#17988657C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988643C2211yescharacteristic, complemented
179#17988639C2211yescharacteristic, complemented
180#17988609C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184C2×#14556516C2211yescharacteristic, complemented
185#103×D73C2211yescharacteristic, complemented
186C2×#14556513C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#532×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic, complemented
190#478×C73C2211yescharacteristic, complemented
191#478×C73C2211yescharacteristic, complemented
192#477×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#465×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#463×C73C2211yescharacteristic, complemented
199#463×C73C2211yescharacteristic, complemented
200#460×C73C2211yescharacteristic, complemented
201#459×C73C2211yescharacteristic, complemented
202C2×C4⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028D411yescharacteristic
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027C2311yescharacteristic
212#41×D73—48no—
213C22×Dic146C2311yescharacteristic
214C2×Q8×D73—21no—
215C2×Q8×D73C2311yescharacteristic
216C22×D292C2311yescharacteristic
217C22×D292C2311yescharacteristic
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73C2311yescharacteristic
223C2×D4×D73C2311yescharacteristic
224C2×D4×D73C2311yescharacteristic
225C22×C4×D73—21no—
226C22×C4×D73—21no—
227C22×C4×D73—21no—
228#14556618—42no—
229#14556615—42no—
230C2×#11924017—42no—
231C2×#11924017C2311yescharacteristic
232C2×#11924017C2311yescharacteristic
233C2×#11924017C2311yescharacteristic
234C2×#11924017C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924016C2311yescharacteristic
237C2×#11924016C2311yescharacteristic
238C2×#11924016C2311yescharacteristic
239C2×#11924015C2311yescharacteristic
240C2×#11924015C2311yescharacteristic
241SD16×D73—42no—
242C2×D584—42no—
243C2×D584C2311yescharacteristic
244C2×D584C2311yescharacteristic
245C2×D584C2311yescharacteristic
246C2×D584C2311yescharacteristic
247C2×#11924013C2311yescharacteristic
248C2×#11924013C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic
253D8×D73—42no—
254C2×#11924011C2311yescharacteristic
255C2×#11924011C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic
257C2×C8×D73C2311yescharacteristic
258#14556590—21no—
259#14556590C2311yescharacteristic
260#14556590C2311yescharacteristic
261#14556589C2311yescharacteristic
262#14556587C2311yescharacteristic
263#14556587C2311yescharacteristic
264#14556587C2311yescharacteristic
265#14556586—21no—
266#14556586—21no—
267#14556586—21no—
268#14556585—21no—
269#14556580C2311yescharacteristic
270#14556579—21no—
271#14556579—21no—
272#14556579—21no—
273#14556579C2311yescharacteristic
274#14556579C2311yescharacteristic
275#14556579C2311yescharacteristic
276#14556579C2311yescharacteristic
277#14556578C2311yescharacteristic
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556575—21no—
290#14556574—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556572—21no—
295#14556572—21no—
296#14556571—21no—
297#14556571C2311yescharacteristic
298#14556571C2311yescharacteristic
299#14556569—21no—
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568—21no—
306#14556568—21no—
307#14556567—21no—
308#14556567—21no—
309#14556566—21no—
310#14556566—21no—
311#14556566C2311yescharacteristic
312#14556566C2311yescharacteristic
313#14556566C2311yescharacteristic
314#14556566C2311yescharacteristic
315#14556565—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556562—21no—
327#14556562—21no—
328#14556562C2311yescharacteristic
329#14556562C2311yescharacteristic
330#14556561—21no—
331#14556561—21no—
332#14556561—21no—
333#14556561—21no—
334#14556561—21no—
335#14556559—21no—
336#14556559—21no—
337#14556559—21no—
338#14556559—21no—
339#14556559—21no—
340C4×Dic146D411yescharacteristic
341C4×Dic146C2311yescharacteristic
342#14556556C2311yescharacteristic
343#14556556C2311yescharacteristic
344C4×D292—21no—
345C4×D292—21no—
346C4×D292—21no—
347C4×D292D411yescharacteristic
348C4×D292C2311yescharacteristic
349C4×D292C2311yescharacteristic
350C4×D292C2311yescharacteristic
351C4×D292C2311yescharacteristic
352C4×D292C2311yescharacteristic
353D4×Dic73—21no—
354D4×Dic73C2311yescharacteristic
355D4×Dic73C2311yescharacteristic
356#14556553—21no—
357#14556553—21no—
358#14556553C2311yescharacteristic
359#14556553C2311yescharacteristic
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73D411yescharacteristic
368C4×C22⋊D73D411yescharacteristic
369C4×C22⋊D73C2311yescharacteristic
370C4×C22⋊D73C2311yescharacteristic
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556550D411yescharacteristic
377#14556549—21no—
378#14556549—21no—
379#14556548—21no—
380#14556548D411yescharacteristic
381#14556548D411yescharacteristic
382C2×C4⋊Dic73C2311yescharacteristic
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C2×#11924005—21no—
386C2×#11924005—21no—
387C2×#11924005—21no—
388C2×#11924005—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C42×D73C2311yescharacteristic
395C42×D73C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556502C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C2×#41×C73—21no—
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C22×C8×C73C2311yescharacteristic
449C4⋊Q8×C73C2311yescharacteristic
450#127×C73C2311yescharacteristic
451#126×C73—21no—
452#125×C73C2311yescharacteristic
453#124×C73—21no—
454#124×C73C2311yescharacteristic
455#123×C73—21no—
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460#121×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73—21no—
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467#117×C73—21no—
468C2×C42×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#107×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490#11924029—41no—
491#11924029—41no—
492#11924029—44no—
493#11924028—24no—
494#11924028—44no—
495#11924028—44no—
496#11924027—41no—
497#11924027—41no—
498#11924027—44no—
499#11924027—44no—
500#11924027—44no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146—21no—
504C2×Dic146—21no—
505C2×Dic146—41no—
506C2×Dic146—41no—
507C2×Dic146C2×D411yescharacteristic
508C2×Dic146C2411yescharacteristic
509C2×Dic146C2411yescharacteristic
510Q8×D73—44no—
511Q8×D73—41no—
512Q8×D73—41no—
513C2×D292—22no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—41no—
522C2×D292—41no—
523C2×D292—41no—
524C2×D292C2×D411yescharacteristic
525C2×D292C2411yescharacteristic
526C2×D292C2411yescharacteristic
527C2×D292C2411yescharacteristic
528C2×D292C2411yescharacteristic
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73C2×D411yescharacteristic
542C2×C22⋊D73C2×D411yescharacteristic
543D4×D73—22no—
544D4×D73—22no—
545D4×D73—41no—
546D4×D73—41no—
547D4×D73—41no—
548D4×D73—41no—
549D4×D73—44no—
550D4×D73—44no—
551D4×D73—44no—
552D4×D73—44no—
553C22×Dic73—21no—
554C22×Dic73—21no—
555C22×Dic73—21no—
556C22×Dic73—21no—
557C22×Dic73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—44no—
571C2×C4×D73—44no—
572C2×C4×D73—44no—
573C2×C4×D73C2×D411yescharacteristic
574C2×C4×D73C2×D411yescharacteristic
575C2×C4×D73C2×D411yescharacteristic
576C2×C4×D73C2×D411yescharacteristic
577C2×C4×D73C2411yescharacteristic
578C2×C4×D73C2411yescharacteristic
579#11924017—22no—
580#11924017—22no—
581#11924017—41no—
582#11924017—41no—
583#11924016—41no—
584#11924016—41no—
585#11924016—41no—
586#11924016—41no—
587#11924015—22no—
588#11924015—41no—
589D584—22no—
590D584—22no—
591D584—41no—
592D584—41no—
593#11924013—22no—
594#11924013—41no—
595#11924013—41no—
596#11924013—41no—
597#11924013—41no—
598#11924013—41no—
599#11924011—41no—
600#11924011—41no—
601C2×#10596831C2411yescharacteristic
602C2×#10596831C2411yescharacteristic
603C2×#10596831C2411yescharacteristic
604C2×#10596831C2411yescharacteristic
605C8×D73—41no—
606C8×D73—41no—
607C4⋊Dic73—21no—
608C4⋊Dic73—21no—
609C4⋊Dic73—21no—
610C4⋊Dic73C2×D411yescharacteristic
611C4⋊Dic73C2×D411yescharacteristic
612C4⋊Dic73C2411yescharacteristic
613C4⋊Dic73C2411yescharacteristic
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007C2×D411yescharacteristic
623#11924007C2×D411yescharacteristic
624#11924007C2×D411yescharacteristic
625#11924007C2×D411yescharacteristic
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73C2×D411yescharacteristic
633C22⋊Dic73C2×D411yescharacteristic
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005C2×D411yescharacteristic
659#11924005C2×D411yescharacteristic
660#11924005C2×D411yescharacteristic
661#11924005C2×D411yescharacteristic
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73C2×D411yescharacteristic
665C4×Dic73C2×D411yescharacteristic
666C4×Dic73C2×D411yescharacteristic
667C4×Dic73C2×D411yescharacteristic
668C4×Dic73C2411yescharacteristic
669C4×Dic73C2411yescharacteristic
670#41×C73—44no—
671C2×Q8×C73—21no—
672C2×Q8×C73C2411yescharacteristic
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73C2411yescharacteristic
679C2×D4×C73C2411yescharacteristic
680C2×D4×C73C2411yescharacteristic
681C22×C4×C73—21no—
682C22×C4×C73—21no—
683C22×C4×C73—21no—
684C22×C4×C73C2×D411yescharacteristic
685C22×C4×C73C2×D411yescharacteristic
686C22×C4×C73C2411yescharacteristic
687SD16×C73—41no—
688SD16×C73—41no—
689D8×C73—41no—
690D8×C73—41no—
691C2×C8×C73—41no—
692C2×C8×C73—41no—
693C2×C8×C73C2411yescharacteristic
694C2×C8×C73C2411yescharacteristic
695C2×C8×C73C2411yescharacteristic
696C2×C8×C73C2411yescharacteristic
697C4⋊C4×C73—21no—
698C4⋊C4×C73—21no—
699C4⋊C4×C73—21no—
700C4⋊C4×C73—21no—
701C4⋊C4×C73—21no—
702C4⋊C4×C73C2411yescharacteristic
703C4⋊C4×C73C2411yescharacteristic
704C4⋊C4×C73C2411yescharacteristic
705C4⋊C4×C73C2411yescharacteristic
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C42×C73—21no—
716C42×C73C2×D411yescharacteristic
717C42×C73C2×D411yescharacteristic
718C42×C73C2411yescharacteristic
719C42×C73C2411yescharacteristic
720C23×C73—21no—
721C23×C73—21no—
722C23×C73—21no—
723C23×C73C22×D411yescharacteristic
724C22×D73—21no—
725C22×D73—21no—
726C22×D73—21no—
727C22×D73—21no—
728C22×D73—42no—
729C22×D73—42no—
730C22×D73—42no—
731C22×D73—42no—
732C22×D73—42no—
733C22×D73—42no—
734C22×D73—42no—
735C22×D73—42no—
736C22×D73—81no—
737C22×D73—81no—
738C22×D73—81no—
739C22×D73—81no—
740C22×D73—81no—
741C22×D73—81no—
742C22×D73—81no—
743C22×D73C22×D411yescharacteristic
744C22×D73C22×D411yescharacteristic
745Q8×C73—21no—
746Q8×C73—21no—
747Q8×C73—42no—
748D4×C73—21no—
749D4×C73—21no—
750D4×C73—21no—
751D4×C73—21no—
752D4×C73—21no—
753D4×C73—21no—
754D4×C73—42no—
755D4×C73—42no—
756D4×C73—42no—
757D4×C73—42no—
758D4×C73—81no—
759C2×C4×C73—22no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—41no—
768C2×C4×C73—42no—
769C2×C4×C73—42no—
770C2×C4×C73—81no—
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C22×D411yescharacteristic
773C2×C4×C73C22×D411yescharacteristic
774C2×C4×C73C22×D411yescharacteristic
775C2×C4×C73C22×D411yescharacteristic
776C2×C4×C73C2511yescharacteristic
777C22⋊D73—22no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—42no—
781C22⋊D73—42no—
782C22⋊D73—42no—
783C22⋊D73—42no—
784C22⋊D73—42no—
785C22⋊D73—81no—
786C22⋊D73—81no—
787C22⋊D73—81no—
788C22⋊D73—81no—
789C22⋊D73—81no—
790C22⋊D73AGL(1,ℤ/8)14yescomplemented
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—42no—
796C2×Dic73—42no—
797C2×Dic73—42no—
798C2×Dic73—81no—
799C2×Dic73—81no—
800C2×Dic73C22×D411yescharacteristic
801C2×Dic73C22×D411yescharacteristic
802C2×Dic73C22×D411yescharacteristic
803C2×Dic73C22×D411yescharacteristic
804C2×Dic73C22×D411yescharacteristic
805C2×Dic73C22×D411yescharacteristic
806D292—22no—
807D292—21no—
808D292—21no—
809D292—21no—
810D292—21no—
811D292—21no—
812D292—21no—
813D292—21no—
814D292—42no—
815D292—42no—
816D292—42no—
817D292—42no—
818D292—81no—
819D292—81no—
820D292—81no—
821D292H(5,𝔽2)12yes—
822C4×D73—22no—
823C4×D73—21no—
824C4×D73—21no—
825C4×D73—21no—
826C4×D73—21no—
827C4×D73—22no—
828C4×D73—41no—
829C4×D73—41no—
830C4×D73—42no—
831C4×D73—42no—
832C4×D73—42no—
833C4×D73—42no—
834C4×D73—42no—
835C4×D73—42no—
836C4×D73—42no—
837C4×D73—42no—
838C4×D73—42no—
839C4×D73—81no—
840C4×D73—81no—
841C4×D73—81no—
842Dic146—22no—
843Dic146—21no—
844Dic146—21no—
845Dic146—21no—
846Dic146—21no—
847Dic146—42no—
848Dic146—42no—
849Dic146—81no—
850Dic146—81no—
851C8×C73—21no—
852C8×C73—21no—
853C8×C73—21no—
854C8×C73—21no—
855#10596831—21no—
856#10596831—21no—
857#10596831—21no—
858#10596831—21no—
859C22×C73—21no—
860C22×C73—21no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—41no—
870C22×C73C2×AGL(1,ℤ/8)12yes—
871C22×C73C23×D411yescharacteristic
872C2×D73—21no—
873C2×D73—21no—
874C2×D73—21no—
875C2×D73—21no—
876C2×D73—22no—
877C2×D73—21no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—41no—
887C2×D73—41no—
888C2×D73—41no—
889C2×D73—84no—
890C2×D73—84no—
891C2×D73—84no—
892C2×D73—162no—
893C2×D73—162no—
894C2×D73C2×AGL(1,ℤ/8)12yes—
895C4×C73—21no—
896C4×C73—21no—
897C4×C73—21no—
898C4×C73—21no—
899C4×C73—21no—
900C4×C73—41no—
901C4×C73—41no—
902C4×C73—41no—
903C4×C73—41no—
904C4×C73—41no—
905C4×C73C2×H(5,𝔽2)11yescharacteristic
906C4×C73#58511yescharacteristic
907Dic73—21no—
908Dic73—21no—
909Dic73—21no—
910Dic73—21no—
911Dic73—21no—
912Dic73—41no—
913Dic73—41no—
914Dic73—41no—
915Dic73—41no—
916Dic73C2×AGL(1,ℤ/8)12yes—
917#61989—731nomaximal, Sylow
918C2×C73—22no—
919C2×C73—81no—
920C2×C73—81no—
921C2×C73—81no—
922C2×C73#348811yescharacteristic
923C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
924C2×C73#358411yescharacteristic
925D73—22no—
926D73—41no—
927D73—42no—
928D73—81no—
929D73—81no—
930D73—81no—
931#3514—731no—
932D4×#41—731no—
933#3399—731no—
934#3397—731no—
935#3373—731no—
936#3367—731no—
937#3308—731no—
938#3308—731no—
939#3306—731no—
940#3306—731no—
941#3298—731no—
942#3294—731no—
943D4×SD16—731no—
944D4×D8—731no—
945#3265—731no—
946#3265—731no—
947#3264—731no—
948#3264—731no—
949#3251—731no—
950#3247—731no—
951#3247D7311yescharacteristic, complemented
952#3213—731no—
953#3213—731no—
954#3207—731no—
955#3114—731no—
956#3114—731no—
957#3105—731no—
958#3036—731no—
959C2×#463—731no—
960C2×#463—731no—
961#2990—731no—
962C73#6198911yescharacteristic, complemented, Sylow
963C22×#41—1461no—
964C2×AGL(1,ℤ/8)—731no—
965C2×AGL(1,ℤ/8)—731no—
966C22×SD16—731no—
967C22×SD16—731no—
968C22×D8—731no—
969C22×D8—731no—
970#559—731no—
971#556—731no—
972#555—1461no—
973#551—1461no—
974#551—1461no—
975#550—731no—
976D4×Q8—731no—
977D4×Q8—731no—
978#548—731no—
979#548—731no—
980#548—1461no—
981#547—731no—
982#547—731no—
983#547—731no—
984#546—731no—
985#546—731no—
986#546—1461no—
987#546—1461no—
988#546—1461no—
989#546—1461no—
990D42—731no—
991D42—731no—
992D42—731no—
993D42—731no—
994#542—1461no—
995#538—1461no—
996#538—1461no—
997#532—731no—
998#532—731no—
999#532—731no—
1000#532C2×D7311yescharacteristic, complemented
1001#529—731no—
1002#529—731no—
1003#529C2×D7311yescharacteristic, complemented
1004C2×#124—731no—
1005C2×#124—731no—
1006#525—1461no—
1007#525—1461no—
1008#525—1461no—
1009#518—1461no—
1010C4×#41—731no—
1011C2×C4×D4—731no—
1012C2×C4×D4—731no—
1013C2×C4×D4—731no—
1014#496—731no—
1015#496—731no—
1016#496—731no—
1017#496—731no—
1018#493—731no—
1019#492—731no—
1020#489—731no—
1021#489—731no—
1022#489—731no—
1023#489—731no—
1024#487—731no—
1025#486—731no—
1026#484—731no—
1027#483—731no—
1028#483—731no—
1029#481—731no—
1030#480—731no—
1031#480—731no—
1032#478—731no—
1033#478—731no—
1034#478C2×D7311yescharacteristic, complemented
1035#478C2×D7311yescharacteristic, complemented
1036#477—731no—
1037#477C2×D7311yescharacteristic, complemented
1038#476—731no—
1039#476C2×D7311yescharacteristic, complemented
1040#475—731no—
1041#474—731no—
1042#469—731no—
1043#469—731no—
1044#468—731no—
1045#468—731no—
1046#466—731no—
1047#466—731no—
1048#466C2×D7311yescharacteristic, complemented
1049#466C2×D7311yescharacteristic, complemented
1050#465—731no—
1051#465—731no—
1052#465C2×D7311yescharacteristic, complemented
1053#465C2×D7311yescharacteristic, complemented
1054#463—731no—
1055#463—731no—
1056#463—731no—
1057#463—731no—
1058#463—731no—
1059#463—731no—
1060#463—731no—
1061#463—731no—
1062#463—731no—
1063#463—731no—
1064#463—731no—
1065#463—731no—
1066#463—731no—
1067#463—731no—
1068#463—731no—
1069#463—731no—
1070#463—731no—
1071#463—731no—
1072#463C2×D7311yescharacteristic, complemented
1073#463C2×D7311yescharacteristic, complemented
1074#461—731no—
1075#461—731no—
1076#460—731no—
1077#460—731no—
1078#460C2×D7311yescharacteristic, complemented
1079#459—731no—
1080#459—731no—
1081#459—731no—
1082#459—731no—
1083#459C2×D7311yescharacteristic, complemented
1084#450—731no—
1085#450—731no—
1086#450—731no—
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449—731no—
1091#448—731no—
1092#448—731no—
1093#448—731no—
1094#448—731no—
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447—731no—
1099#447—731no—
1100#447—731no—
1101#447—731no—
1102#446—731no—
1103#446—731no—
1104#442—731no—
1105#442—731no—
1106#442—731no—
1107#442—731no—
1108#440—731no—
1109#440—731no—
1110#440—731no—
1111#440—731no—
1112C4×SD16—731no—
1113C4×SD16—731no—
1114C4×D8—731no—
1115C4×D8—731no—
1116#435—731no—
1117#435—731no—
1118#435—731no—
1119#435—731no—
1120C8×D4—731no—
1121C8×D4—731no—
1122#432—731no—
1123#432—731no—
1124#431—731no—
1125#423—731no—
1126C2×C4⋊C8—731no—
1127C2×C4⋊C8C2×D7311yescharacteristic, complemented
1128#417—731no—
1129#417—731no—
1130C2×#103—731no—
1131C2×#103—731no—
1132C2×#102—731no—
1133C2×#102—731no—
1134C2×#41—21no—
1135C2×#41—2928no—
1136C2×#41—731no—
1137C2×#41—731no—
1138C2×#41—731no—
1139C2×#41—1461no—
1140C2×#41—1461no—
1141C2×#41—1461no—
1142C2×#41—1461no—
1143C2×#41—1461no—
1144C2×#41—1461no—
1145C22×Q8—731no—
1146C22×Q8—731no—
1147C22×Q8—1461no—
1148C22×D4—731no—
1149C22×D4—731no—
1150C22×D4—731no—
1151C22×D4—731no—
1152C22×D4—731no—
1153C22×D4—1461no—
1154C22×D4—1461no—
1155C22×D4—1461no—
1156C22×D4—1461no—
1157C23×C4—1461no—
1158C23×C4—1461no—
1159C23×C4—1461no—
1160AGL(1,ℤ/8)—2922no—
1161AGL(1,ℤ/8)—2922no—
1162C2×SD16—2922no—
1163C2×SD16—2922no—
1164C2×SD16—731no—
1165C2×SD16—731no—
1166C2×SD16—731no—
1167C2×SD16—731no—
1168C2×SD16—731no—
1169C2×SD16—731no—
1170C2×SD16—731no—
1171C2×SD16—731no—
1172C2×SD16—731no—
1173C2×SD16—731no—
1174C2×SD16C22×D7311yescharacteristic
1175C2×SD16C22×D7311yescharacteristic
1176C2×D8—2922no—
1177C2×D8—2922no—
1178C2×D8—731no—
1179C2×D8—731no—
1180C2×D8—731no—
1181C2×D8—731no—
1182C2×D8—731no—
1183C2×D8—731no—
1184C2×D8—731no—
1185C2×D8—731no—
1186C2×D8—731no—
1187C2×D8—731no—
1188C2×D8C22×D7311yescharacteristic
1189C2×D8C22×D7311yescharacteristic
1190C2×M16—731no—
1191C2×M16—731no—
1192C22×C8—731no—
1193C22×C8—731no—
1194C22×C8C22×D7311yescharacteristic
1195C22×C8C22×D7311yescharacteristic
1196C4⋊Q8—731no—
1197C4⋊Q8—731no—
1198C4⋊Q8—731no—
1199C4⋊Q8—1461no—
1200C4⋊Q8C22×D7311yescharacteristic
1201#127—731no—
1202#127—731no—
1203#127—731no—
1204#127C22×D7311yescharacteristic
1205#126—21no—
1206#126—1461no—
1207#126—1461no—
1208#126—1461no—
1209#126—1461no—
1210#125C22×D7311yescharacteristic
1211#124—21no—
1212#124—731no—
1213#124—731no—
1214#124—731no—
1215#124—731no—
1216#124—731no—
1217#124—731no—
1218#124—1461no—
1219#124—1461no—
1220#124—1461no—
1221#124—1461no—
1222#124—1461no—
1223#124—1461no—
1224#124—1461no—
1225#124—1461no—
1226#124—1461no—
1227#124C22×D7311yescharacteristic
1228#123—21no—
1229#123—1461no—
1230#123—1461no—
1231#123—1461no—
1232#123—1461no—
1233#123—1461no—
1234#123—1461no—
1235#123—1461no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240#123—1461no—
1241C22⋊Q8—731no—
1242C22⋊Q8—731no—
1243C22⋊Q8—1461no—
1244C22⋊Q8—1461no—
1245C22⋊Q8—1461no—
1246C22⋊Q8—1461no—
1247C22⋊Q8—1461no—
1248C22⋊Q8—1461no—
1249C22⋊Q8—1461no—
1250C22⋊Q8—1461no—
1251C22⋊Q8—1461no—
1252C22⋊Q8—1461no—
1253C22⋊Q8—1461no—
1254C22⋊Q8C22×D7311yescharacteristic
1255#121—21no—
1256#121—731no—
1257#121—731no—
1258#121—731no—
1259#121—731no—
1260#121—731no—
1261#121—731no—
1262#121—1461no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121C22×D7311yescharacteristic
1278#121C22×D7311yescharacteristic
1279#121C22×D7311yescharacteristic
1280#120—1461no—
1281#120—1461no—
1282#120—1461no—
1283#120—1461no—
1284#120—1461no—
1285#120—1461no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290C4×Q8—731no—
1291C4×Q8—731no—
1292C4×Q8—731no—
1293C4×Q8—731no—
1294C4×Q8C22×D7311yescharacteristic
1295C4×D4—21no—
1296C4×D4—21no—
1297C4×D4—731no—
1298C4×D4—731no—
1299C4×D4—731no—
1300C4×D4—731no—
1301C4×D4—731no—
1302C4×D4—731no—
1303C4×D4—731no—
1304C4×D4—731no—
1305C4×D4—731no—
1306C4×D4—731no—
1307C4×D4—731no—
1308C4×D4—731no—
1309C4×D4—731no—
1310C4×D4—731no—
1311C4×D4—731no—
1312C4×D4—731no—
1313C4×D4—1461no—
1314C4×D4—1461no—
1315C4×D4—1461no—
1316C4×D4—1461no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4C22×D7311yescharacteristic
1330C4×D4C22×D7311yescharacteristic
1331C4×D4C22×D7311yescharacteristic
1332#117—21no—
1333#117—731no—
1334#117—731no—
1335#117—731no—
1336#117—1461no—
1337#117—1461no—
1338#117—1461no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—731no—
1341C2×C4⋊C4—731no—
1342C2×C22⋊C4—1461no—
1343C2×C22⋊C4—1461no—
1344C2×C22⋊C4—1461no—
1345C2×C22⋊C4—1461no—
1346C2×C22⋊C4—1461no—
1347C2×C22⋊C4—1461no—
1348C2×C22⋊C4—1461no—
1349C2×C22⋊C4—1461no—
1350C2×C22⋊C4—1461no—
1351C2×C42—731no—
1352C2×C42—731no—
1353C2×C42C22×D7311yescharacteristic
1354#107—731no—
1355#107—731no—
1356#107C22×D7311yescharacteristic
1357#107C22×D7311yescharacteristic
1358#106—731no—
1359#106—731no—
1360#106C22×D7311yescharacteristic
1361#106C22×D7311yescharacteristic
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8—731no—
1365C4⋊C8—731no—
1366C4⋊C8—731no—
1367C4⋊C8—731no—
1368C4⋊C8C22×D7311yescharacteristic
1369C4⋊C8C22×D7311yescharacteristic
1370C4⋊C8C22×D7311yescharacteristic
1371C4⋊C8C22×D7311yescharacteristic
1372#103—731no—
1373#103—731no—
1374#103—731no—
1375#103—731no—
1376#103—731no—
1377#103—731no—
1378#103—731no—
1379#103—731no—
1380#103—731no—
1381#103—731no—
1382#103C22×D7311yescharacteristic
1383#103C22×D7311yescharacteristic
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102C22×D7311yescharacteristic
1399#102C22×D7311yescharacteristic
1400#102C22×D7311yescharacteristic
1401#102C22×D7311yescharacteristic
1402#102C22×D7311yescharacteristic
1403#102C22×D7311yescharacteristic
1404C22⋊C8—731no—
1405C22⋊C8—731no—
1406C22⋊C8—731no—
1407C22⋊C8—731no—
1408C22⋊C8—731no—
1409C22⋊C8—731no—
1410#97—731no—
1411#97—731no—
1412#97—731no—
1413#97—731no—
1414C4×C8—731no—
1415C4×C8—731no—
1416C24—1461no—
1417C24—1461no—
1418C24—1461no—
1419C24—1461no—
1420C24—1461no—
1421#41—44no—
1422#41—2924no—
1423#41—2924no—
1424#41—2924no—
1425#41—2924no—
1426#41—2924no—
1427#41—2924no—
1428#41—2921no—
1429#41—2921no—
1430#41—2921no—
1431#41—2921no—
1432#41—1464no—
1433C2×Q8—21no—
1434C2×Q8—2921no—
1435C2×Q8—2921no—
1436C2×Q8—2924no—
1437C2×Q8—2921no—
1438C2×Q8—2921no—
1439C2×Q8—731no—
1440C2×Q8—731no—
1441C2×Q8—731no—
1442C2×Q8—1461no—
1443C2×Q8—1461no—
1444C2×Q8—1461no—
1445C2×Q8—1461no—
1446C2×Q8C23×D7311yescharacteristic
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—2921no—
1453C2×D4—2921no—
1454C2×D4—2921no—
1455C2×D4—2924no—
1456C2×D4—2924no—
1457C2×D4—2924no—
1458C2×D4—2924no—
1459C2×D4—2921no—
1460C2×D4—2921no—
1461C2×D4—2921no—
1462C2×D4—2921no—
1463C2×D4—731no—
1464C2×D4—731no—
1465C2×D4—731no—
1466C2×D4—731no—
1467C2×D4—731no—
1468C2×D4—731no—
1469C2×D4—731no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1462no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4—1461no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1461no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4—1462no—
1486C2×D4—1462no—
1487C2×D4—1461no—
1488C2×D4—1461no—
1489C2×D4—1461no—
1490C2×D4—1461no—
1491C2×D4—1461no—
1492C2×D4C23×D7311yescharacteristic
1493C2×D4C23×D7311yescharacteristic
1494C2×D4C23×D7311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—2924no—
1499C22×C4—2924no—
1500C22×C4—2924no—
1501C22×C4—731no—
1502C22×C4—731no—
1503C22×C4—731no—
1504C22×C4—731no—
1505C22×C4—731no—
1506C22×C4—731no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4—1461no—
1515C22×C4—1461no—
1516C22×C4—1461no—
1517C22×C4—1461no—
1518C22×C4—1461no—
1519C22×C4—1461no—
1520C22×C4—1461no—
1521C22×C4—1461no—
1522C22×C4—1461no—
1523C22×C4—1461no—
1524C22×C4D4×D7311yescharacteristic
1525C22×C4D4×D7311yescharacteristic
1526C22×C4C23×D7311yescharacteristic
1527SD16—41no—
1528SD16—41no—
1529SD16—2921no—
1530SD16—2921no—
1531SD16—2921no—
1532SD16—2921no—
1533SD16—2921no—
1534SD16—2921no—
1535SD16—2921no—
1536SD16—1462no—
1537SD16—1462no—
1538SD16—1462no—
1539D8—41no—
1540D8—41no—
1541D8—2921no—
1542D8—2921no—
1543D8—2921no—
1544D8—2921no—
1545D8—2921no—
1546D8—2921no—
1547D8—2921no—
1548D8—1462no—
1549D8—1462no—
1550D8—1462no—
1551M16—2921no—
1552M16—2921no—
1553C2×C8—41no—
1554C2×C8—41no—
1555C2×C8—2921no—
1556C2×C8—2921no—
1557C2×C8—731no—
1558C2×C8—731no—
1559C2×C8—731no—
1560C2×C8—731no—
1561C2×C8C23×D7311yescharacteristic
1562C2×C8C23×D7311yescharacteristic
1563C2×C8C23×D7311yescharacteristic
1564C2×C8C23×D7311yescharacteristic
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—731no—
1571C4⋊C4—731no—
1572C4⋊C4—731no—
1573C4⋊C4—731no—
1574C4⋊C4—731no—
1575C4⋊C4—731no—
1576C4⋊C4—731no—
1577C4⋊C4—731no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4—1461no—
1582C4⋊C4—1461no—
1583C4⋊C4—1461no—
1584C4⋊C4—1461no—
1585C4⋊C4—1461no—
1586C4⋊C4—1461no—
1587C4⋊C4—1461no—
1588C4⋊C4—1461no—
1589C4⋊C4C23×D7311yescharacteristic
1590C4⋊C4C23×D7311yescharacteristic
1591C4⋊C4C23×D7311yescharacteristic
1592C4⋊C4C23×D7311yescharacteristic
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—731no—
1603C22⋊C4—731no—
1604C22⋊C4—731no—
1605C22⋊C4—731no—
1606C22⋊C4—731no—
1607C22⋊C4—731no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C22⋊C4—1461no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C42—21no—
1639C42—731no—
1640C42—731no—
1641C42—731no—
1642C42—731no—
1643C42—731no—
1644C42—731no—
1645C42—1461no—
1646C42—1461no—
1647C42D4×D7311yescharacteristic
1648C42D4×D7311yescharacteristic
1649C42C23×D7311yescharacteristic
1650C42C23×D7311yescharacteristic
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—2922no—
1655C23—2922no—
1656C23—2922no—
1657C23—2922no—
1658C23—2922no—
1659C23—2922no—
1660C23—2922no—
1661C23—2922no—
1662C23—5841no—
1663C23—5841no—
1664C23—5841no—
1665C23—5841no—
1666C23—5841no—
1667C23—5841no—
1668C23—5841no—
1669C23—731no—
1670C23—731no—
1671C23—1461no—
1672C23—1461no—
1673C23—1461no—
1674C23—1461no—
1675C23C2×D4×D7311yescharacteristic
1676Q8—21no—
1677Q8—21no—
1678Q8—42no—
1679Q8—2922no—
1680Q8—2922no—
1681Q8—5841no—
1682Q8—5841no—
1683Q8—1462no—
1684Q8—1461no—
1685Q8—1461no—
1686Q8—1461no—
1687Q8—1461no—
1688D4—21no—
1689D4—21no—
1690D4—21no—
1691D4—21no—
1692D4—21no—
1693D4—21no—
1694D4—42no—
1695D4—42no—
1696D4—42no—
1697D4—42no—
1698D4—81no—
1699D4—2922no—
1700D4—2922no—
1701D4—2922no—
1702D4—2922no—
1703D4—2922no—
1704D4—2922no—
1705D4—2922no—
1706D4—2922no—
1707D4—2922no—
1708D4—2922no—
1709D4—2922no—
1710D4—5841no—
1711D4—5841no—
1712D4—5841no—
1713D4—5841no—
1714D4—5841no—
1715D4—5841no—
1716D4—5841no—
1717D4—5841no—
1718D4—734no—
1719D4—732no—
1720D4—1462no—
1721D4—1462no—
1722D4—1461no—
1723D4—1461no—
1724D4—1461no—
1725D4—1461no—
1726D4—1461no—
1727D4—1461no—
1728D4—1461no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—41no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—81no—
1741C2×C4—2922no—
1742C2×C4—2922no—
1743C2×C4—2922no—
1744C2×C4—2922no—
1745C2×C4—2921no—
1746C2×C4—2921no—
1747C2×C4—2922no—
1748C2×C4—2922no—
1749C2×C4—2922no—
1750C2×C4—2922no—
1751C2×C4—2922no—
1752C2×C4—2922no—
1753C2×C4—2922no—
1754C2×C4—2922no—
1755C2×C4—5841no—
1756C2×C4—5841no—
1757C2×C4—5841no—
1758C2×C4—5841no—
1759C2×C4—5841no—
1760C2×C4—731no—
1761C2×C4—731no—
1762C2×C4—731no—
1763C2×C4—731no—
1764C2×C4—731no—
1765C2×C4—731no—
1766C2×C4—1462no—
1767C2×C4—1462no—
1768C2×C4—1461no—
1769C2×C4—1461no—
1770C2×C4—1461no—
1771C2×C4—1461no—
1772C2×C4—1461no—
1773C2×C4—1461no—
1774C2×C4—1461no—
1775C2×C4—1461no—
1776C2×C4C2×D4×D7311yescharacteristic
1777C2×C4C2×D4×D7311yescharacteristic
1778C2×C4C2×D4×D7311yescharacteristic
1779C2×C4C2×D4×D7311yescharacteristic
1780C2×C4C2×D4×D7311yescharacteristic
1781C2×C4C24×D7311yescharacteristic
1782C8—21no—
1783C8—21no—
1784C8—21no—
1785C8—21no—
1786C8—1461no—
1787C8—1461no—
1788C8—1461no—
1789C8—1461no—
1790C22—21no—
1791C22—21no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—2921no—
1802C22—2921no—
1803C22—2921no—
1804C22—2921no—
1805C22—2921no—
1806C22—2921no—
1807C22—2921no—
1808C22—2921no—
1809C22—2921no—
1810C22—2921no—
1811C22—2921no—
1812C22—5844no—
1813C22—5844no—
1814C22—5844no—
1815C22—732no—
1816C22—11682no—
1817C22—11682no—
1818C22—1461no—
1819C22—1462no—
1820C22—1461no—
1821C22—1461no—
1822C22—1461no—
1823C22—1461no—
1824C22AGL(1,ℤ/8)×D7312yes—
1825C22C22×D4×D7311yescharacteristic
1826C4—21no—
1827C4—21no—
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—2921no—
1837C4—2921no—
1838C4—2921no—
1839C4—2921no—
1840C4—732no—
1841C4—1461no—
1842C4—1461no—
1843C4—1461no—
1844C4—1461no—
1845C4—1461no—
1846C4H(5,𝔽2)×D7311yescharacteristic
1847C4#1798942411yescharacteristic
1848C2—22no—
1849C2—81no—
1850C2—81no—
1851C2—81no—
1852C2—2922no—
1853C2—2921no—
1854C2—5841no—
1855C2—5841no—
1856C2—5841no—
1857C2—1462no—
1858C2#2262359511yescharacteristic
1859C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1860C2#2262470011yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3247C2
socleC22×C73C23×D4
hypercenter#3247D73
hypocenterC73#61989
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3247

Complements

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

NH ≅ G/Ntype
1. #22623880C2semidirect
2. #22623417C2semidirect
3. #22622976C2semidirect
4. #22622946C2semidirect
5. #22622726C2semidirect
6. #22622652C2semidirect
7. #22621928C2semidirect
8. #22621919C2semidirect
9. #22621898C2semidirect
10. #22621889C2semidirect
11. #22621791C2semidirect
12. #22621739C2semidirect
13. #22621624C2semidirect
14. #22621605C2semidirect
15. #22621423C2semidirect
16. #22621421C2semidirect
17. #22621408C2semidirect
18. #22621406C2semidirect
19. #22621292C2semidirect
20. #22621256C2semidirect
21. #22620916C2semidirect
22. #22620914C2semidirect
23. #22620863C2semidirect
24. #22620074C2semidirect
25. #22620065C2semidirect
26. #22619983C2semidirect
27. #22619393C2semidirect
28. C2×#17988803C2semidirect
29. #463×D73C2semidirect
30. #22619053C2semidirect
31. C73×#3247C2semidirect
33. C2×#14556618C22semidirect
34. C2×#14556615C22semidirect
35. C22×#11924017C22semidirect
36. C2×SD16×D73C22semidirect
39. #17989320C22semidirect
40. #17989309C22semidirect
44. #17989257C22semidirect
45. #17989252C22semidirect
46. #17989250C22semidirect
47. #17989249C22semidirect
49. #17989243C22semidirect
50. #17989240C22semidirect
52. #17989237C22semidirect
53. #17989232C22semidirect
56. #17989228C22semidirect
59. #17989222C22semidirect
61. #17989221C22semidirect
62. #17989221C22semidirect
66. #17989136C22semidirect
67. #17989134C22semidirect
68. #17989134C22semidirect
69. #17989122C22semidirect
70. #17989122C22semidirect
71. C2×#14556579C22semidirect
72. #124×D73C22semidirect
78. C2×C4×D292C22semidirect
79. C4×D4×D73C22semidirect
80. C4×D4×D73C22semidirect
81. #17988975C22semidirect
82. #17988974C22semidirect
83. #17988974C22semidirect
84. #17988973C22semidirect
85. #17988962C22semidirect
86. #17988958C22semidirect
87. #17988949C22semidirect
88. #17988949C22semidirect
89. #17988948C22semidirect
90. #17988945C22semidirect
91. #17988936C22semidirect
92. #17988932C22semidirect
93. #17988924C22semidirect
94. #17988919C22semidirect
95. #17988915C22semidirect
96. #17988907C22semidirect
97. #17988902C22semidirect
98. #17988898C22semidirect
99. #17988884C22semidirect
100. #17988884C22semidirect
101. #17988881C22semidirect
102. #17988876C22semidirect
103. #17988871C22semidirect
104. #17988866C22semidirect
105. #17988841C22semidirect
106. #17988839C22semidirect
107. #17988834C22semidirect
108. #17988832C22semidirect
109. #17988824C22semidirect
110. #17988822C22semidirect
111. #17988817C22semidirect
112. #17988815C22semidirect
114. #17988804C22semidirect
117. #17988803C22semidirect
118. #17988803C22semidirect
119. #17988803C22semidirect
120. #17988803C22semidirect
121. #17988803C22semidirect
122. #17988803C22semidirect
123. #17988802C22semidirect
124. #17988802C22semidirect
125. #17988802C22semidirect
126. #17988802C22semidirect
127. #17988801C22semidirect
128. #17988800C22semidirect
129. #17988799C22semidirect
130. #17988799C22semidirect
131. #17988791C22semidirect
132. #17988790C22semidirect
133. #17988786C22semidirect
134. #17988786C22semidirect
136. #17988781C22semidirect
137. #17988781C22semidirect
138. #17988780C22semidirect
139. #17988739C22semidirect
140. #17988739C22semidirect
141. #17988737C22semidirect
142. #17988735C22semidirect
143. #17988733C22semidirect
144. #17988731C22semidirect
145. #17988729C22semidirect
146. #17988727C22semidirect
147. #17988725C22semidirect
148. #17988725C22semidirect
149. #17988724C22semidirect
152. #17988722C22semidirect
154. #17988720C22semidirect
155. #17988720C22semidirect
156. #17988719C22semidirect
157. #17988716C22semidirect
158. #17988716C22semidirect
159. #17988698C22semidirect
160. #17988697C22semidirect
161. #17988697C22semidirect
162. #17988696C22semidirect
163. #17988686C22semidirect
164. #17988685C22semidirect
165. #17988685C22semidirect
166. #17988684C22semidirect
167. #17988678C22semidirect
168. #17988674C22semidirect
170. #17988667C22semidirect
171. #17988658C22semidirect
172. #17988658C22semidirect
173. #17988657C22semidirect
174. #17988657C22semidirect
175. C8×C22⋊D73C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988644C22semidirect
178. #17988643C22semidirect
179. #17988639C22semidirect
180. #17988609C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988587C22semidirect
183. #17988585C22semidirect
184. C2×#14556516C22semidirect
185. #103×D73C22semidirect
186. C2×#14556513C22semidirect
187. #102×D73C22semidirect
188. #532×C73C22semidirect
189. #529×C73C22semidirect
190. #478×C73C22semidirect
191. #478×C73C22semidirect
192. #477×C73C22semidirect
193. #476×C73C22semidirect
194. #466×C73C22semidirect
195. #466×C73C22semidirect
196. #465×C73C22semidirect
197. #465×C73C22semidirect
198. #463×C73C22semidirect
199. #463×C73C22semidirect
200. #460×C73C22semidirect
201. #459×C73C22semidirect
202. C2×C4⋊C8×C73C22semidirect
790. C22⋊D73AGL(1,ℤ/8)semidirect
951. #3247D73semidirect
962. C73#61989semidirect
1000. #532C2×D73semidirect
1003. #529C2×D73semidirect
1034. #478C2×D73semidirect
1035. #478C2×D73semidirect
1037. #477C2×D73semidirect
1039. #476C2×D73semidirect
1048. #466C2×D73semidirect
1049. #466C2×D73semidirect
1052. #465C2×D73semidirect
1053. #465C2×D73semidirect
1072. #463C2×D73semidirect
1073. #463C2×D73semidirect
1078. #460C2×D73semidirect
1083. #459C2×D73semidirect
1127. C2×C4⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238802
#226234172
#226229762
#226229462
#226227262
#226226522
#226219282
#226219192
#226218982
#226218892
#226217912
#226217392
#226216242
#226216052
#226214232
#226214212
#226214082
#226214062
#226212922
#226212562
#226209162
#226209142
#226208632
#226200742
#226200652
#226199832
#226193932
C2×#179888032
#463×D732
#226190532
C73×#32472
#6198973