Finite Group Databasebeta

← #33979267

Subgroups — #33979267

Order 18688.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624261C211yesmaximal, characteristic, complemented
2#22623865C211yesmaximal, characteristic, complemented
3#22623018C211yesmaximal, characteristic, complemented
4#22622968C211yesmaximal, characteristic, complemented
5#22622687C211yesmaximal, characteristic, complemented
6#22622641C211yesmaximal, characteristic, complemented
7#22622069C211yesmaximal, characteristic, complemented
8#22621958C211yesmaximal, characteristic, complemented
9#22621934C211yesmaximal, characteristic, complemented
10#22621898C211yesmaximal, characteristic, complemented
11#22621772C211yesmaximal, characteristic, complemented
12#22621739C211yesmaximal, characteristic, complemented
13#22621613C211yesmaximal, characteristic, complemented
14#22621605C211yesmaximal, characteristic, complemented
15#22621466C211yesmaximal, characteristic, complemented
16#22621417C211yesmaximal, characteristic, complemented
17#22621408C211yesmaximal, characteristic, complemented
18#22621408C211yesmaximal, characteristic, complemented
19#22621369C211yesmaximal, characteristic, complemented
20#22621348C211yesmaximal, characteristic, complemented
21#22621032C211yesmaximal, characteristic, complemented
22#22620978C211yesmaximal, characteristic, complemented
23#22620946C211yesmaximal, characteristic, complemented
24#22620176C211yesmaximal, characteristic, complemented
25#22620137C211yesmaximal, characteristic, complemented
26#22620065C211yesmaximal, characteristic, complemented
27#22619473C211yesmaximal, characteristic, complemented
28#22619432C211yesmaximal, characteristic, complemented
29C2×#17988783C211yesmaximal, characteristic, complemented
30#22619067C211yesmaximal, characteristic, complemented
31C73×#3250C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic, complemented
33C2×#14556618C2211yescharacteristic, complemented
34C2×#14556614C2211yescharacteristic, complemented
35C22×D584C2211yescharacteristic, complemented
36C22×D584C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic, complemented
38#17989328—21no—
39#17989328—21no—
40#17989322C2211yescharacteristic, complemented
41#17989319C2211yescharacteristic, complemented
42#17989293C2211yescharacteristic, complemented
43#17989290C2211yescharacteristic, complemented
44#17989281—21no—
45#17989279C2211yescharacteristic, complemented
46#17989266—21no—
47#17989261—21no—
48#17989259C2211yescharacteristic, complemented
49#17989258C2211yescharacteristic, complemented
50#17989237C2211yescharacteristic, complemented
51#17989233—21no—
52#17989232—21no—
53#17989230C2211yescharacteristic, complemented
54#17989228C2211yescharacteristic
55#17989228C2211yescharacteristic, complemented
56#17989228C2211yescharacteristic, complemented
57D4×D292—21no—
58D4×D292C2211yescharacteristic, complemented
59#17989221C2211yescharacteristic
60#17989221C2211yescharacteristic, complemented
61#17989221C2211yescharacteristic, complemented
62#17989209C2211yescharacteristic, complemented
63#17989193C2211yescharacteristic, complemented
64#17989193C2211yescharacteristic, complemented
65#17989192—21no—
66#17989188C2211yescharacteristic, complemented
67#17989178—21no—
68#17989176—21no—
69#17989156—21no—
70#17989155C2211yescharacteristic, complemented
71#17989155C2211yescharacteristic, complemented
72#17989148—21no—
73#17989148—21no—
74C2×#14556588C2211yescharacteristic, complemented
75#17989121C2211yescharacteristic
76#17989095—21no—
77#123×D73—21no—
78#17989069C2211yescharacteristic, complemented
79#17989059C2211yescharacteristic, complemented
80C2×C4×D292C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988977C2211yescharacteristic, complemented
83#17988973C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988972C2211yescharacteristic, complemented
86#17988962C2211yescharacteristic, complemented
87#17988953C2211yescharacteristic, complemented
88#17988953C2211yescharacteristic, complemented
89#17988950C2211yescharacteristic, complemented
90#17988948C2211yescharacteristic, complemented
91#17988943C2211yescharacteristic, complemented
92#17988932C2211yescharacteristic, complemented
93#17988915C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988841C2211yescharacteristic, complemented
106#17988841C2211yescharacteristic, complemented
107#17988839C2211yescharacteristic, complemented
108#17988836C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988819C2211yescharacteristic, complemented
113#17988811C2211yescharacteristic, complemented
114#17988805C2211yescharacteristic, complemented
115#17988805C2211yescharacteristic, complemented
116#17988805C2211yescharacteristic, complemented
117#17988805C2211yescharacteristic, complemented
118#17988804C2211yescharacteristic, complemented
119#17988799C2211yescharacteristic, complemented
120#17988799C2211yescharacteristic, complemented
121#17988787C2211yescharacteristic, complemented
122#17988787C2211yescharacteristic, complemented
123#17988785C2211yescharacteristic, complemented
124#17988783C2211yescharacteristic
125#17988783C2211yescharacteristic, complemented
126#17988783C2211yescharacteristic, complemented
127#17988783C2211yescharacteristic, complemented
128#17988783C2211yescharacteristic, complemented
129#17988783C2211yescharacteristic, complemented
130#17988783C2211yescharacteristic, complemented
131#17988783C2211yescharacteristic, complemented
132#17988782C2211yescharacteristic, complemented
133#17988782C2211yescharacteristic, complemented
134#17988781C2211yescharacteristic, complemented
135#17988781C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic, complemented
137#17988781C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic, complemented
139#17988748C2211yescharacteristic, complemented
140#17988737C2211yescharacteristic, complemented
141#17988737C2211yescharacteristic, complemented
142#17988737C2211yescharacteristic, complemented
143#17988736C2211yescharacteristic, complemented
144#17988735C2211yescharacteristic, complemented
145#17988735C2211yescharacteristic, complemented
146#17988735C2211yescharacteristic, complemented
147#17988735C2211yescharacteristic, complemented
148#17988731C2211yescharacteristic, complemented
149#17988722C2211yescharacteristic, complemented
150#17988722C2211yescharacteristic, complemented
151#17988722C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic, complemented
153#17988720C2211yescharacteristic
154#17988720C2211yescharacteristic, complemented
155#17988720C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988716C2211yescharacteristic, complemented
158#17988716C2211yescharacteristic, complemented
159#17988698C2211yescharacteristic, complemented
160#17988698C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic, complemented
163#17988696C2211yescharacteristic, complemented
164#17988690C2211yescharacteristic, complemented
165#17988685C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167#17988672C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic, complemented
169#17988669C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174#17988657C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988647C2211yescharacteristic, complemented
179#17988644C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988612C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic, complemented
183#17988587C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185C2×#14556513C2211yescharacteristic, complemented
186C2×#14556513C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic, complemented
190#479×C73C2211yescharacteristic, complemented
191#479×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic
196#465×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#464×C73C2211yescharacteristic, complemented
199#464×C73C2211yescharacteristic, complemented
200#463×C73C2211yescharacteristic, complemented
201#463×C73C2211yescharacteristic, complemented
202C2×C4⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924027—21no—
208C22×D292—21no—
209C22×D292—21no—
210C22×D292—21no—
211C22×D292C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C22×D292C2311yescharacteristic
214C2×D4×D73—21no—
215C2×D4×D73—21no—
216C2×D4×D73—21no—
217C2×D4×D73C2311yescharacteristic
218C2×D4×D73C2311yescharacteristic
219C2×D4×D73C2311yescharacteristic
220C22×C4×D73—21no—
221#14556618—42no—
222#14556618—42no—
223#14556614—42no—
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×D584—42no—
231C2×D584—42no—
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×D584C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244C2×#11924013C2311yescharacteristic
245C2×#11924013C2311yescharacteristic
246D8×D73—42no—
247C2×#11924011C2311yescharacteristic
248C2×#11924011C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251#14556590C2311yescharacteristic
252#14556588—21no—
253#14556588—21no—
254#14556588—21no—
255#14556588C2311yescharacteristic
256#14556588C2311yescharacteristic
257#14556588C2311yescharacteristic
258#14556588C2311yescharacteristic
259#14556587C2311yescharacteristic
260#14556587C2311yescharacteristic
261#14556587C2311yescharacteristic
262#14556586—21no—
263#14556586—21no—
264#14556585—21no—
265#14556585D411yescharacteristic
266#14556585D411yescharacteristic
267#14556583D411yescharacteristic
268#14556582—21no—
269#14556582C2311yescharacteristic
270#14556580C2311yescharacteristic
271#14556580C2311yescharacteristic
272#14556580C2311yescharacteristic
273#14556579—21no—
274#14556579—21no—
275#14556579D411yescharacteristic
276#14556577—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556575—21no—
289#14556575—21no—
290#14556574—21no—
291#14556574D411yescharacteristic
292#14556574D411yescharacteristic
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556572—21no—
298#14556571—21no—
299#14556570D411yescharacteristic
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556568—21no—
304#14556567C2311yescharacteristic
305#14556566—21no—
306#14556566—21no—
307#14556566—21no—
308#14556566—21no—
309#14556566—21no—
310#14556566—21no—
311#14556566—21no—
312#14556566—21no—
313#14556566—21no—
314#14556566—21no—
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556566C2311yescharacteristic
319#14556566C2311yescharacteristic
320#14556566C2311yescharacteristic
321#14556565—21no—
322#14556565—21no—
323#14556565—21no—
324#14556565D411yescharacteristic
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564—21no—
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556562C2311yescharacteristic
337#14556561—21no—
338#14556561—21no—
339#14556561—21no—
340#14556561—21no—
341#14556561—21no—
342#14556561—21no—
343#14556561—21no—
344#14556561—21no—
345#14556561—21no—
346#14556561—21no—
347#14556561—21no—
348#14556561—21no—
349#14556561—21no—
350#14556559—21no—
351#14556559—21no—
352#14556559—21no—
353Q8×Dic73C2311yescharacteristic
354C4×Dic146C2311yescharacteristic
355C4×D292—21no—
356C4×D292—21no—
357C4×D292—21no—
358C4×D292—21no—
359C4×D292—21no—
360C4×D292C2311yescharacteristic
361C4×D292C2311yescharacteristic
362C4×D292C2311yescharacteristic
363C4×D292C2311yescharacteristic
364C4×D292C2311yescharacteristic
365D4×Dic73C2311yescharacteristic
366#14556553—21no—
367#14556553—21no—
368#14556553C2311yescharacteristic
369#14556553C2311yescharacteristic
370#14556553C2311yescharacteristic
371#14556553C2311yescharacteristic
372#14556553C2311yescharacteristic
373#14556553C2311yescharacteristic
374C4×C22⋊D73—21no—
375C4×C22⋊D73C2311yescharacteristic
376C4×C22⋊D73C2311yescharacteristic
377#14556551—21no—
378#14556551—21no—
379#14556549C2311yescharacteristic
380#14556548—21no—
381#14556548C2311yescharacteristic
382#14556548C2311yescharacteristic
383#14556547—21no—
384C2×C4⋊Dic73C2311yescharacteristic
385C4⋊C4×D73—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73C2311yescharacteristic
388C2×#11924005—21no—
389C2×#11924005—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×Q16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447#126×C73—21no—
448#126×C73—21no—
449#125×C73C2311yescharacteristic
450#125×C73C2311yescharacteristic
451#124×C73C2311yescharacteristic
452#124×C73C2311yescharacteristic
453#123×C73—21no—
454#123×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459C4×Q8×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73—21no—
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465#117×C73—21no—
466#117×C73—21no—
467C2×C42×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490#11924029—22no—
491#11924029—41no—
492#11924029—41no—
493#11924029—41no—
494#11924029—41no—
495#11924029—41no—
496#11924028—82no—
497#11924027—82no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×D292—22no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
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×D292—41no—
525C2×D292—41no—
526C2×D292—82no—
527C2×D292—82no—
528C2×D292—82no—
529C2×D292C2×D411yescharacteristic
530C2×D292C2411yescharacteristic
531C2×D292C2411yescharacteristic
532C2×D292C2411yescharacteristic
533C2×D292C2411yescharacteristic
534C2×D292C2411yescharacteristic
535C2×D292C2411yescharacteristic
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73C2×D411yescharacteristic
547C2×C22⋊D73C2×D411yescharacteristic
548D4×D73—22no—
549D4×D73—41no—
550D4×D73—41no—
551D4×D73—41no—
552D4×D73—41no—
553D4×D73—41no—
554D4×D73—82no—
555D4×D73—82no—
556D4×D73—82no—
557C22×Dic73—21no—
558C22×Dic73—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—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—82no—
574C2×C4×D73C2411yescharacteristic
575C2×C4×D73C2411yescharacteristic
576#11924015—22no—
577#11924015—41no—
578#11924015—41no—
579#11924015—41no—
580#11924015—41no—
581#11924015—41no—
582D584—22no—
583D584—22no—
584D584—22no—
585D584—22no—
586D584—41no—
587D584—41no—
588D584—41no—
589D584—41no—
590#11924013—22no—
591#11924013—41no—
592#11924013—41no—
593#11924013—41no—
594#11924013—41no—
595#11924013—41no—
596#11924011—41no—
597#11924011—41no—
598C2×#10596831C2411yescharacteristic
599C2×#10596831C2411yescharacteristic
600C2×#10596831C2411yescharacteristic
601C2×#10596831C2411yescharacteristic
602C8×D73—41no—
603C8×D73—41no—
604C4⋊Dic73—21no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73C2×D411yescharacteristic
608C4⋊Dic73C2×D411yescharacteristic
609C4⋊Dic73C2411yescharacteristic
610C4⋊Dic73C2411yescharacteristic
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007C2×D411yescharacteristic
616#11924007C2×D411yescharacteristic
617#11924007C2×D411yescharacteristic
618#11924007C2×D411yescharacteristic
619#11924007C2×D411yescharacteristic
620#11924007C2×D411yescharacteristic
621#11924007C2×D411yescharacteristic
622#11924007C2×D411yescharacteristic
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73C2×D411yescharacteristic
626C22⋊Dic73C2×D411yescharacteristic
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
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#11924005C2×D411yescharacteristic
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655#11924005C2×D411yescharacteristic
656#11924005C2×D411yescharacteristic
657#11924005C2×D411yescharacteristic
658#11924005C2×D411yescharacteristic
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73C2411yescharacteristic
662C4×Dic73C2411yescharacteristic
663C2×Q8×C73C2411yescharacteristic
664C2×Q8×C73C2411yescharacteristic
665C2×D4×C73—21no—
666C2×D4×C73—21no—
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73C2×D411yescharacteristic
672C22×C4×C73C2×D411yescharacteristic
673C22×C4×C73C2411yescharacteristic
674Q16×C73—41no—
675SD16×C73—41no—
676SD16×C73—41no—
677D8×C73—41no—
678C2×C8×C73—41no—
679C2×C8×C73—41no—
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C4⋊C4×C73C2411yescharacteristic
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C42×C73—21no—
707C42×C73—21no—
708C42×C73C2×D411yescharacteristic
709C42×C73C2×D411yescharacteristic
710C42×C73C2411yescharacteristic
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73C22×D411yescharacteristic
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—21no—
720C22×D73—21no—
721C22×D73—42no—
722C22×D73—42no—
723C22×D73—42no—
724C22×D73—42no—
725C22×D73—42no—
726C22×D73—81no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73—81no—
730C22×D73—81no—
731C22×D73—81no—
732C22×D73—81no—
733C22×D73—81no—
734C22×D73—81no—
735C22×D73—81no—
736C22×D73—81no—
737C22×D73—81no—
738C22×D73—81no—
739C22×D73C22×D411yescharacteristic
740C22×D73C22×D411yescharacteristic
741Q8×C73—21no—
742Q8×C73—21no—
743Q8×C73—21no—
744Q8×C73—21no—
745D4×C73—21no—
746D4×C73—21no—
747D4×C73—21no—
748D4×C73—21no—
749D4×C73—42no—
750D4×C73—42no—
751C2×C4×C73—22no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—41no—
761C2×C4×C73—42no—
762C2×C4×C73—81no—
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C22×D411yescharacteristic
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C22×D411yescharacteristic
768C2×C4×C73C2511yescharacteristic
769C22⋊D73—22no—
770C22⋊D73—22no—
771C22⋊D73—42no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C22⋊D73—81no—
777C22⋊D73—81no—
778C22⋊D73—81no—
779C22⋊D73—81no—
780C22⋊D73—81no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—42no—
784C2×Dic73—81no—
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791D292—21no—
792D292—21no—
793D292—21no—
794D292—21no—
795D292—21no—
796D292—21no—
797D292—21no—
798D292—21no—
799D292—21no—
800D292—21no—
801D292—21no—
802D292—41no—
803D292—42no—
804D292—42no—
805D292—42no—
806D292—42no—
807D292—81no—
808D292—81no—
809D292—81no—
810D292—81no—
811D292—81no—
812D292—81no—
813D292—81no—
814D292—81no—
815D292—81no—
816D292—81no—
817D292—81no—
818D292—81no—
819D292—81no—
820D292—81no—
821D292—81no—
822D292—81no—
823D292H(5,𝔽2)12yes—
824C4×D73—21no—
825C4×D73—21no—
826C4×D73—21no—
827C4×D73—21no—
828C4×D73—42no—
829C4×D73—81no—
830C4×D73—81no—
831C4×D73—81no—
832C4×D73—81no—
833C4×D73—81no—
834C4×D73—81no—
835C4×D73—81no—
836C4×D73—81no—
837C4×D73—81no—
838C4×D73—81no—
839C4×D73—81no—
840C4×D73—81no—
841C4×D73—81no—
842Dic146—41no—
843Dic146—81no—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—21no—
853C22×C73—21no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73#57612yes—
861C22×C73C23×D411yescharacteristic
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—21no—
865C2×D73—21no—
866C2×D73—22no—
867C2×D73—21no—
868C2×D73—21no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
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—84no—
887C2×D73—162no—
888C2×D73—162no—
889C2×D73—162no—
890C2×D73—162no—
891C2×D73—162no—
892C4×C73—21no—
893C4×C73—21no—
894C4×C73—21no—
895C4×C73—21no—
896C4×C73—21no—
897C4×C73—41no—
898C4×C73—41no—
899C4×C73—41no—
900C4×C73—41no—
901C4×C73—41no—
902C4×C73—41no—
903C4×C73C2×H(5,𝔽2)11yescharacteristic
904C4×C73#58511yescharacteristic
905Dic73—21no—
906Dic73—21no—
907Dic73—21no—
908Dic73—21no—
909Dic73—21no—
910Dic73—21no—
911Dic73—41no—
912Dic73—41no—
913#62007—731nomaximal, Sylow
914C2×C73—22no—
915C2×C73—81no—
916C2×C73—81no—
917C2×C73#348811yescharacteristic
918C2×C73C2×#57611yescharacteristic
919C2×C73#358511yescharacteristic
920D73—41no—
921D73—41no—
922D73—42no—
923D73—81no—
924D73—81no—
925D73—81no—
926D73—81no—
927D73—81no—
928#3543—731no—
929#3513—731no—
930#3403—731no—
931#3399—731no—
932#3370—731no—
933#3366—731no—
934#3318—731no—
935#3310—731no—
936#3309—731no—
937#3306—731no—
938#3296—731no—
939#3294—731no—
940#3280—731no—
941D4×D8—731no—
942#3268—731no—
943#3264—731no—
944#3264—731no—
945#3264—731no—
946#3259—731no—
947#3257—731no—
948#3250D7311yescharacteristic, complemented
949#3224—731no—
950#3220—731no—
951#3217—731no—
952#3122—731no—
953#3119—731no—
954#3114—731no—
955#3045—731no—
956#3041—731no—
957C2×#459—731no—
958#2992—731no—
959C73#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—731no—
961C2×AGL(1,ℤ/8)—731no—
962C2×#135—731no—
963C22×D8—731no—
964C22×D8—731no—
965C22×D8—731no—
966#560—1461no—
967#560—1461no—
968#559—731no—
969#559—731no—
970#554—731no—
971#553—731no—
972#553—1461no—
973#552—731no—
974#551—1461no—
975#551—1461no—
976#550—731no—
977#550—731no—
978#547—731no—
979#546—731no—
980#546—731no—
981#546—731no—
982#546—731no—
983#546—1461no—
984#546—1461no—
985D42—731no—
986D42—731no—
987D42—731no—
988D42—731no—
989D42—1461no—
990#542—731no—
991#540—731no—
992#540—731no—
993#540—731no—
994#540—1461no—
995#539—1461no—
996#538—1461no—
997#535—731no—
998#535—731no—
999#535—1461no—
1000#534—1461no—
1001#534—1461no—
1002C2×#127—731no—
1003#529—731no—
1004#529C2×D7311yescharacteristic, complemented
1005#529C2×D7311yescharacteristic, complemented
1006#525—1461no—
1007C2×#123—1461no—
1008#520—731no—
1009#518—731no—
1010C2×C4×D4—731no—
1011#496—731no—
1012#496—731no—
1013#496—731no—
1014#496—731no—
1015#495—731no—
1016#493—731no—
1017#490—731no—
1018#490—731no—
1019#490—731no—
1020#489—731no—
1021#488—731no—
1022#486—731no—
1023#483—731no—
1024#482—731no—
1025#482—731no—
1026#481—731no—
1027#480—731no—
1028#480—731no—
1029#479C2×D7311yescharacteristic, complemented
1030#479C2×D7311yescharacteristic, complemented
1031#478—731no—
1032#478—731no—
1033#478—731no—
1034#478—731no—
1035#478C2×D7311yescharacteristic, complemented
1036#478C2×D7311yescharacteristic, complemented
1037#476—731no—
1038#474—731no—
1039#469—731no—
1040#469—731no—
1041#469—731no—
1042#468—731no—
1043#467C2×D7311yescharacteristic, complemented
1044#466—731no—
1045#466—731no—
1046#466—731no—
1047#466C2×D7311yescharacteristic
1048#465—731no—
1049#465C2×D7311yescharacteristic, complemented
1050#465C2×D7311yescharacteristic, complemented
1051#464—731no—
1052#464C2×D7311yescharacteristic, complemented
1053#464C2×D7311yescharacteristic, complemented
1054#463—731no—
1055#463—731no—
1056#463—731no—
1057#463—731no—
1058#463—731no—
1059#463—731no—
1060#463—731no—
1061#463C2×D7311yescharacteristic, complemented
1062#463C2×D7311yescharacteristic, complemented
1063#460—731no—
1064#460—731no—
1065#460—731no—
1066#459—731no—
1067#459—731no—
1068#459—731no—
1069#459—731no—
1070#459—731no—
1071#459—731no—
1072#459—731no—
1073#459—731no—
1074#459—731no—
1075#459—731no—
1076#459—731no—
1077#459—731no—
1078#459—731no—
1079#459—731no—
1080#459—731no—
1081#452—731no—
1082#450—731no—
1083#450—731no—
1084#450—731no—
1085#450—731no—
1086#449—731no—
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449—731no—
1091#447—731no—
1092#447—731no—
1093#447—731no—
1094#447—731no—
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447—731no—
1099#446—731no—
1100#446—731no—
1101#442—731no—
1102#442—731no—
1103#442—731no—
1104#442—731no—
1105#442—731no—
1106#440—731no—
1107#440—731no—
1108#440—731no—
1109C4×SD16—731no—
1110C4×D8—731no—
1111C4×D8—731no—
1112C4×D8—731no—
1113#435—731no—
1114#435—731no—
1115#435—731no—
1116#435—731no—
1117C8×D4—731no—
1118C8×D4—731no—
1119#433—731no—
1120#433—731no—
1121#432—731no—
1122#424—731no—
1123#424—731no—
1124C2×C4⋊C8C2×D7311yescharacteristic, complemented
1125#418—731no—
1126#417—731no—
1127#416—731no—
1128C2×#102—731no—
1129C2×#102—731no—
1130C2×#102—731no—
1131C2×#41—731no—
1132C2×#41—731no—
1133C2×#41—731no—
1134C2×#41—1461no—
1135C2×#41—1461no—
1136C22×D4—731no—
1137C22×D4—731no—
1138C22×D4—731no—
1139C22×D4—731no—
1140C22×D4—731no—
1141C22×D4—731no—
1142C22×D4—1461no—
1143C22×D4—1461no—
1144C22×D4—1461no—
1145C22×D4—1461no—
1146C22×D4—1461no—
1147C22×D4—1461no—
1148C23×C4—1461no—
1149AGL(1,ℤ/8)—2922no—
1150AGL(1,ℤ/8)—2922no—
1151#135—2922no—
1152C2×Q16C22×D7311yescharacteristic
1153C2×SD16—731no—
1154C2×SD16—731no—
1155C2×SD16—731no—
1156C2×SD16—731no—
1157C2×SD16—731no—
1158C2×SD16—731no—
1159C2×SD16C22×D7311yescharacteristic
1160C2×SD16C22×D7311yescharacteristic
1161C2×D8—2922no—
1162C2×D8—2922no—
1163C2×D8—2922no—
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C2×D8—731no—
1168C2×D8—731no—
1169C2×D8—731no—
1170C2×D8—731no—
1171C2×D8—731no—
1172C2×D8—731no—
1173C2×D8—731no—
1174C2×D8—731no—
1175C2×D8—731no—
1176C2×D8—731no—
1177C2×D8—731no—
1178C2×D8C22×D7311yescharacteristic
1179C2×M16—731no—
1180C2×M16—731no—
1181C22×C8—731no—
1182C22×C8—731no—
1183C22×C8C22×D7311yescharacteristic
1184C22×C8C22×D7311yescharacteristic
1185C4⋊Q8—731no—
1186#127—731no—
1187#127—731no—
1188#127—731no—
1189#127—731no—
1190#127—731no—
1191#127—731no—
1192#127—731no—
1193#127—1461no—
1194#127—1461no—
1195#127—1461no—
1196#126—21no—
1197#126—21no—
1198#126—731no—
1199#126—731no—
1200#126—1461no—
1201#126—1461no—
1202#126—1461no—
1203#125—731no—
1204#125—731no—
1205#125—1461no—
1206#125C22×D7311yescharacteristic
1207#125C22×D7311yescharacteristic
1208#124—731no—
1209#124—731no—
1210#124—731no—
1211#124—731no—
1212#124—1461no—
1213#124—1461no—
1214#124—1461no—
1215#124C22×D7311yescharacteristic
1216#124C22×D7311yescharacteristic
1217#123—21no—
1218#123—21no—
1219#123—731no—
1220#123—731no—
1221#123—1461no—
1222#123—1461no—
1223#123—1461no—
1224#123—1461no—
1225#123—1461no—
1226#123—1461no—
1227#123—1461no—
1228#123—1461no—
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—
1240C22⋊Q8—731no—
1241C22⋊Q8—731no—
1242C22⋊Q8—1461no—
1243C22⋊Q8—1461no—
1244C22⋊Q8—1461no—
1245C22⋊Q8—1461no—
1246C22⋊Q8—1461no—
1247C22⋊Q8C22×D7311yescharacteristic
1248C22⋊Q8C22×D7311yescharacteristic
1249#121—731no—
1250#121—731no—
1251#121—731no—
1252#121—731no—
1253#121—731no—
1254#121—731no—
1255#121—731no—
1256#121—731no—
1257#121—1461no—
1258#121—1461no—
1259#121—1461no—
1260#121—1461no—
1261#121—1461no—
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#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121C22×D7311yescharacteristic
1282#121C22×D7311yescharacteristic
1283#120—1461no—
1284#120—1461no—
1285#120—1461no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290#120—1461no—
1291#120—1461no—
1292#120—1461no—
1293#120—1461no—
1294#120—1461no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299C4×Q8—731no—
1300C4×Q8—731no—
1301C4×Q8C22×D7311yescharacteristic
1302C4×Q8C22×D7311yescharacteristic
1303C4×D4—21no—
1304C4×D4—21no—
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—731no—
1314C4×D4—731no—
1315C4×D4—731no—
1316C4×D4—731no—
1317C4×D4—731no—
1318C4×D4—731no—
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
1331#117—21no—
1332#117—21no—
1333#117—731no—
1334#117—731no—
1335#117—731no—
1336#117—1461no—
1337#117—1461no—
1338C2×C4⋊C4—731no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—1461no—
1341C2×C4⋊C4—1461no—
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×C42C22×D7311yescharacteristic
1350#107—731no—
1351#107—731no—
1352#107C22×D7311yescharacteristic
1353#107C22×D7311yescharacteristic
1354#106—731no—
1355#106—731no—
1356#106C22×D7311yescharacteristic
1357#106C22×D7311yescharacteristic
1358C4⋊C8—731no—
1359C4⋊C8—731no—
1360C4⋊C8—731no—
1361C4⋊C8—731no—
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8C22×D7311yescharacteristic
1365C4⋊C8C22×D7311yescharacteristic
1366C4⋊C8C22×D7311yescharacteristic
1367C4⋊C8C22×D7311yescharacteristic
1368#103—731no—
1369#103—731no—
1370#103C22×D7311yescharacteristic
1371#103C22×D7311yescharacteristic
1372#103C22×D7311yescharacteristic
1373#103C22×D7311yescharacteristic
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
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#102C22×D7311yescharacteristic
1397#102C22×D7311yescharacteristic
1398#102C22×D7311yescharacteristic
1399#102C22×D7311yescharacteristic
1400C22⋊C8—731no—
1401C22⋊C8—731no—
1402C22⋊C8—731no—
1403C22⋊C8—731no—
1404C22⋊C8—731no—
1405C22⋊C8—731no—
1406#97—731no—
1407#97—731no—
1408#97—731no—
1409#97—731no—
1410C4×C8—731no—
1411C4×C8—731no—
1412C24—1461no—
1413C24—1461no—
1414C24—1461no—
1415C24—1461no—
1416C24—1461no—
1417C24—1461no—
1418#41—2921no—
1419#41—2921no—
1420#41—2921no—
1421#41—2921no—
1422#41—2921no—
1423#41—5842no—
1424#41—5842no—
1425#41—1462no—
1426C2×Q8—731no—
1427C2×Q8—1461no—
1428C2×Q8C23×D7311yescharacteristic
1429C2×Q8C23×D7311yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—2921no—
1433C2×D4—2921no—
1434C2×D4—2921no—
1435C2×D4—2921no—
1436C2×D4—2921no—
1437C2×D4—2921no—
1438C2×D4—2921no—
1439C2×D4—2921no—
1440C2×D4—2921no—
1441C2×D4—2921no—
1442C2×D4—5842no—
1443C2×D4—5842no—
1444C2×D4—5842no—
1445C2×D4—5842no—
1446C2×D4—5842no—
1447C2×D4—5842no—
1448C2×D4—731no—
1449C2×D4—731no—
1450C2×D4—731no—
1451C2×D4—731no—
1452C2×D4—731no—
1453C2×D4—731no—
1454C2×D4—731no—
1455C2×D4—731no—
1456C2×D4—731no—
1457C2×D4—1461no—
1458C2×D4—1462no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1462no—
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—1461no—
1486C2×D4—1461no—
1487C2×D4—1461no—
1488C2×D4—1461no—
1489C2×D4C23×D7311yescharacteristic
1490C2×D4C23×D7311yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—5842no—
1494C22×C4—731no—
1495C22×C4—731no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4D4×D7311yescharacteristic
1513C22×C4D4×D7311yescharacteristic
1514C22×C4C23×D7311yescharacteristic
1515Q16—41no—
1516SD16—41no—
1517SD16—41no—
1518SD16—2921no—
1519SD16—2921no—
1520SD16—2921no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—1462no—
1524D8—41no—
1525D8—2921no—
1526D8—2921no—
1527D8—2921no—
1528D8—2921no—
1529D8—2921no—
1530D8—2921no—
1531D8—2921no—
1532D8—2921no—
1533D8—2921no—
1534D8—1462no—
1535D8—1462no—
1536D8—1462no—
1537D8—1462no—
1538D8—1462no—
1539M16—2921no—
1540M16—2921no—
1541C2×C8—41no—
1542C2×C8—41no—
1543C2×C8—2921no—
1544C2×C8—2921no—
1545C2×C8—731no—
1546C2×C8—731no—
1547C2×C8—731no—
1548C2×C8—731no—
1549C2×C8C23×D7311yescharacteristic
1550C2×C8C23×D7311yescharacteristic
1551C2×C8C23×D7311yescharacteristic
1552C2×C8C23×D7311yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—731no—
1562C4⋊C4—731no—
1563C4⋊C4—731no—
1564C4⋊C4—731no—
1565C4⋊C4—731no—
1566C4⋊C4—731no—
1567C4⋊C4—731no—
1568C4⋊C4—731no—
1569C4⋊C4—731no—
1570C4⋊C4—731no—
1571C4⋊C4—731no—
1572C4⋊C4—731no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4C23×D7311yescharacteristic
1581C4⋊C4C23×D7311yescharacteristic
1582C4⋊C4C23×D7311yescharacteristic
1583C4⋊C4C23×D7311yescharacteristic
1584C22⋊C4—21no—
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—731no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—731no—
1599C22⋊C4—731no—
1600C22⋊C4—731no—
1601C22⋊C4—731no—
1602C22⋊C4—731no—
1603C22⋊C4—731no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
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—
1630C42—21no—
1631C42—21no—
1632C42—731no—
1633C42—731no—
1634C42—1461no—
1635C42—1461no—
1636C42D4×D7311yescharacteristic
1637C42D4×D7311yescharacteristic
1638C42C23×D7311yescharacteristic
1639C42C23×D7311yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—2922no—
1643C23—2922no—
1644C23—2922no—
1645C23—2922no—
1646C23—2922no—
1647C23—5841no—
1648C23—5841no—
1649C23—5841no—
1650C23—5841no—
1651C23—5841no—
1652C23—5841no—
1653C23—5841no—
1654C23—5841no—
1655C23—5841no—
1656C23—5841no—
1657C23—5841no—
1658C23—5841no—
1659C23—5841no—
1660C23—731no—
1661C23—731no—
1662C23—1461no—
1663C23—1461no—
1664C23—1461no—
1665C23—1461no—
1666C23—1461no—
1667C23—1461no—
1668C23C2×D4×D7311yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—21no—
1673Q8—2921no—
1674Q8—5841no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—42no—
1680D4—42no—
1681D4—2922no—
1682D4—2922no—
1683D4—2922no—
1684D4—2921no—
1685D4—2922no—
1686D4—2922no—
1687D4—5841no—
1688D4—5841no—
1689D4—5841no—
1690D4—5841no—
1691D4—5841no—
1692D4—5841no—
1693D4—5841no—
1694D4—5841no—
1695D4—5841no—
1696D4—5841no—
1697D4—5841no—
1698D4—5841no—
1699D4—5841no—
1700D4—5841no—
1701D4—5841no—
1702D4—5841no—
1703D4—5841no—
1704D4—5841no—
1705D4—5841no—
1706D4—5841no—
1707D4—5841no—
1708D4—5841no—
1709D4—5841no—
1710D4—5841no—
1711D4—5841no—
1712D4—732no—
1713D4—1462no—
1714D4—1462no—
1715D4—1461no—
1716D4—1461no—
1717D4—1461no—
1718D4—1461no—
1719D4—1461no—
1720D4—1461no—
1721D4—1461no—
1722D4—1461no—
1723D4—1461no—
1724D4—1461no—
1725D4—1461no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—41no—
1736C2×C4—42no—
1737C2×C4—81no—
1738C2×C4—2922no—
1739C2×C4—2922no—
1740C2×C4—5841no—
1741C2×C4—5841no—
1742C2×C4—5841no—
1743C2×C4—5841no—
1744C2×C4—5841no—
1745C2×C4—5841no—
1746C2×C4—5841no—
1747C2×C4—5841no—
1748C2×C4—5841no—
1749C2×C4—5841no—
1750C2×C4—5841no—
1751C2×C4—5841no—
1752C2×C4—5841no—
1753C2×C4—5841no—
1754C2×C4—731no—
1755C2×C4—731no—
1756C2×C4—731no—
1757C2×C4—731no—
1758C2×C4—731no—
1759C2×C4—731no—
1760C2×C4—1461no—
1761C2×C4—1461no—
1762C2×C4—1461no—
1763C2×C4—1461no—
1764C2×C4—1461no—
1765C2×C4—1461no—
1766C2×C4C2×D4×D7311yescharacteristic
1767C2×C4C2×D4×D7311yescharacteristic
1768C2×C4C2×D4×D7311yescharacteristic
1769C2×C4C2×D4×D7311yescharacteristic
1770C2×C4C2×D4×D7311yescharacteristic
1771C2×C4C24×D7311yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1461no—
1777C8—1461no—
1778C8—1461no—
1779C8—1461no—
1780C22—21no—
1781C22—21no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—2921no—
1789C22—2921no—
1790C22—2921no—
1791C22—2921no—
1792C22—2921no—
1793C22—2921no—
1794C22—2921no—
1795C22—2921no—
1796C22—2921no—
1797C22—2921no—
1798C22—2921no—
1799C22—2921no—
1800C22—2921no—
1801C22—2921no—
1802C22—2921no—
1803C22—2921no—
1804C22—2921no—
1805C22—5844no—
1806C22—11682no—
1807C22—11682no—
1808C22—11682no—
1809C22—11682no—
1810C22—11682no—
1811C22—1462no—
1812C22—1461no—
1813C22—1461no—
1814C22—1461no—
1815C22—1461no—
1816C22—1461no—
1817C22—1461no—
1818C22#1798938912yes—
1819C22C22×D4×D7311yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—2921no—
1832C4—2921no—
1833C4—1461no—
1834C4—1461no—
1835C4—1461no—
1836C4—1461no—
1837C4—1461no—
1838C4—1461no—
1839C4H(5,𝔽2)×D7311yescharacteristic
1840C4#1798942411yescharacteristic
1841C2—22no—
1842C2—81no—
1843C2—81no—
1844C2—2922no—
1845C2—2921no—
1846C2—2921no—
1847C2—5841no—
1848C2—5841no—
1849C2—5841no—
1850C2—5841no—
1851C2—5841no—
1852C2#2262359511yescharacteristic
1853C2C2×#1798938911yescharacteristic
1854C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3250C2
socleC22×C73C23×D4
hypercenter#3250D73
hypocenterC73#62007
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3250

Complements

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

NH ≅ G/Ntype
1. #22624261C2semidirect
2. #22623865C2semidirect
3. #22623018C2semidirect
4. #22622968C2semidirect
5. #22622687C2semidirect
6. #22622641C2semidirect
7. #22622069C2semidirect
8. #22621958C2semidirect
9. #22621934C2semidirect
10. #22621898C2semidirect
11. #22621772C2semidirect
12. #22621739C2semidirect
13. #22621613C2semidirect
14. #22621605C2semidirect
15. #22621466C2semidirect
16. #22621417C2semidirect
17. #22621408C2semidirect
18. #22621408C2semidirect
19. #22621369C2semidirect
20. #22621348C2semidirect
21. #22621032C2semidirect
22. #22620978C2semidirect
23. #22620946C2semidirect
24. #22620176C2semidirect
25. #22620137C2semidirect
26. #22620065C2semidirect
27. #22619473C2semidirect
28. #22619432C2semidirect
29. C2×#17988783C2semidirect
30. #22619067C2semidirect
31. C73×#3250C2semidirect
32. C2×#14556618C22semidirect
33. C2×#14556618C22semidirect
34. C2×#14556614C22semidirect
35. C22×D584C22semidirect
36. C22×D584C22semidirect
37. C2×D8×D73C22semidirect
40. #17989322C22semidirect
41. #17989319C22semidirect
42. #17989293C22semidirect
43. #17989290C22semidirect
45. #17989279C22semidirect
48. #17989259C22semidirect
49. #17989258C22semidirect
50. #17989237C22semidirect
53. #17989230C22semidirect
55. #17989228C22semidirect
56. #17989228C22semidirect
58. D4×D292C22semidirect
60. #17989221C22semidirect
61. #17989221C22semidirect
62. #17989209C22semidirect
63. #17989193C22semidirect
64. #17989193C22semidirect
66. #17989188C22semidirect
70. #17989155C22semidirect
71. #17989155C22semidirect
74. C2×#14556588C22semidirect
78. #17989069C22semidirect
79. #17989059C22semidirect
80. C2×C4×D292C22semidirect
81. #17988977C22semidirect
82. #17988977C22semidirect
83. #17988973C22semidirect
84. #17988973C22semidirect
85. #17988972C22semidirect
86. #17988962C22semidirect
87. #17988953C22semidirect
88. #17988953C22semidirect
89. #17988950C22semidirect
90. #17988948C22semidirect
91. #17988943C22semidirect
92. #17988932C22semidirect
93. #17988915C22semidirect
94. #17988914C22semidirect
95. #17988913C22semidirect
96. #17988907C22semidirect
97. #17988902C22semidirect
98. #17988898C22semidirect
99. #17988890C22semidirect
100. #17988886C22semidirect
101. #17988884C22semidirect
102. #17988884C22semidirect
103. #17988876C22semidirect
104. #17988866C22semidirect
105. #17988841C22semidirect
106. #17988841C22semidirect
107. #17988839C22semidirect
108. #17988836C22semidirect
109. #17988824C22semidirect
110. #17988824C22semidirect
111. #17988822C22semidirect
112. #17988819C22semidirect
113. #17988811C22semidirect
114. #17988805C22semidirect
115. #17988805C22semidirect
116. #17988805C22semidirect
117. #17988805C22semidirect
118. #17988804C22semidirect
119. #17988799C22semidirect
120. #17988799C22semidirect
121. #17988787C22semidirect
122. #17988787C22semidirect
123. #17988785C22semidirect
125. #17988783C22semidirect
126. #17988783C22semidirect
127. #17988783C22semidirect
128. #17988783C22semidirect
129. #17988783C22semidirect
130. #17988783C22semidirect
131. #17988783C22semidirect
132. #17988782C22semidirect
133. #17988782C22semidirect
134. #17988781C22semidirect
135. #17988781C22semidirect
136. #17988781C22semidirect
137. #17988781C22semidirect
138. #17988780C22semidirect
139. #17988748C22semidirect
140. #17988737C22semidirect
141. #17988737C22semidirect
142. #17988737C22semidirect
143. #17988736C22semidirect
144. #17988735C22semidirect
145. #17988735C22semidirect
146. #17988735C22semidirect
147. #17988735C22semidirect
148. #17988731C22semidirect
149. #17988722C22semidirect
150. #17988722C22semidirect
151. #17988722C22semidirect
152. #17988722C22semidirect
154. #17988720C22semidirect
155. #17988720C22semidirect
156. #17988719C22semidirect
157. #17988716C22semidirect
158. #17988716C22semidirect
159. #17988698C22semidirect
160. #17988698C22semidirect
161. #17988697C22semidirect
162. #17988697C22semidirect
163. #17988696C22semidirect
164. #17988690C22semidirect
165. #17988685C22semidirect
166. #17988685C22semidirect
167. #17988672C22semidirect
168. #17988669C22semidirect
169. #17988669C22semidirect
170. #17988667C22semidirect
171. #17988658C22semidirect
172. #17988658C22semidirect
173. #17988657C22semidirect
174. #17988657C22semidirect
175. C8×C22⋊D73C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988647C22semidirect
178. #17988647C22semidirect
179. #17988644C22semidirect
180. #17988612C22semidirect
181. #17988612C22semidirect
182. #17988590C22semidirect
183. #17988587C22semidirect
184. #17988582C22semidirect
185. C2×#14556513C22semidirect
186. C2×#14556513C22semidirect
187. #102×D73C22semidirect
188. #529×C73C22semidirect
189. #529×C73C22semidirect
190. #479×C73C22semidirect
191. #479×C73C22semidirect
192. #478×C73C22semidirect
193. #478×C73C22semidirect
194. #467×C73C22semidirect
196. #465×C73C22semidirect
197. #465×C73C22semidirect
198. #464×C73C22semidirect
199. #464×C73C22semidirect
200. #463×C73C22semidirect
201. #463×C73C22semidirect
202. C2×C4⋊C8×C73C22semidirect
948. #3250D73semidirect
959. C73#62007semidirect
1004. #529C2×D73semidirect
1005. #529C2×D73semidirect
1029. #479C2×D73semidirect
1030. #479C2×D73semidirect
1035. #478C2×D73semidirect
1036. #478C2×D73semidirect
1043. #467C2×D73semidirect
1049. #465C2×D73semidirect
1050. #465C2×D73semidirect
1052. #464C2×D73semidirect
1053. #464C2×D73semidirect
1061. #463C2×D73semidirect
1062. #463C2×D73semidirect
1124. C2×C4⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242612
#226238652
#226230182
#226229682
#226226872
#226226412
#226220692
#226219582
#226219342
#226218982
#226217722
#226217392
#226216132
#226216052
#226214662
#226214172
#226214082
#226213692
#226213482
#226210322
#226209782
#226209462
#226201762
#226201372
#226200652
#226194732
#226194322
C2×#179887832
#226190672
C73×#32502
#6200773