Finite Group Databasebeta

← #33978978

Subgroups — #33978978

Order 18688.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623524C211yesmaximal, characteristic, complemented
2#22623015C211yesmaximal, characteristic, complemented
3#22622997C211yesmaximal, characteristic, complemented
4#22622767C211yesmaximal, characteristic, complemented
5#22622693C211yesmaximal, characteristic, complemented
6#22622102C211yesmaximal, characteristic, complemented
7#22622072C211yesmaximal, characteristic, complemented
8#22621997C211yesmaximal, characteristic, complemented
9#22621967C211yesmaximal, characteristic, complemented
10#22621833C211yesmaximal, characteristic, complemented
11#22621781C211yesmaximal, characteristic, complemented
12#22621668C211yesmaximal, characteristic, complemented
13#22621634C211yesmaximal, characteristic, complemented
14#22621517C211yesmaximal, characteristic, complemented
15#22621502C211yesmaximal, characteristic, complemented
16#22621467C211yesmaximal, characteristic, complemented
17#22621422C211yesmaximal, characteristic, complemented
18#22621327C211yesmaximal, characteristic, complemented
19#22621278C211yesmaximal, characteristic, complemented
20#22621257C211yesmaximal, characteristic, complemented
21#22620968C211yesmaximal, characteristic, complemented
22#22620918C211yesmaximal, characteristic, complemented
23#22620896C211yesmaximal, characteristic, complemented
24#22620098C211yesmaximal, characteristic, complemented
25#22620034C211yesmaximal, characteristic, complemented
26#22619943C211yesmaximal, characteristic, complemented
27#22619421C211yesmaximal, characteristic, complemented
28#22619380C211yesmaximal, characteristic, complemented
29C2×#17988806C211yesmaximal, characteristic, complemented
30#22619056C211yesmaximal, characteristic, complemented
31C73×#3514C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic, complemented
33C2×#14556617C2211yescharacteristic
34C2×#14556611C2211yescharacteristic, complemented
35C2×#14556611C2211yescharacteristic, complemented
36C22×#11924018C2211yescharacteristic, complemented
37C22×#11924016C2211yescharacteristic
38#17989322C2211yescharacteristic, complemented
39#17989320—21no—
40#17989315C2211yescharacteristic, complemented
41#17989309—21no—
42#17989307C2211yescharacteristic, complemented
43#17989286—21no—
44#17989286—21no—
45#17989283C2211yescharacteristic
46#17989283C2211yescharacteristic, complemented
47#17989258C2211yescharacteristic, complemented
48#17989246C2211yescharacteristic
49#17989246C2211yescharacteristic, complemented
50#17989137C2211yescharacteristic, complemented
51#17989133—21no—
52#17989121C2211yescharacteristic, complemented
53#17989121C2211yescharacteristic, complemented
54#17989115—21no—
55#17989115—21no—
56C4×#11924028C2211yescharacteristic, complemented
57C4×#11924028C2211yescharacteristic, complemented
58#17989055—21no—
59C2×C4×Dic146C2211yescharacteristic, complemented
60#17988979C2211yescharacteristic, complemented
61#17988977C2211yescharacteristic
62#17988977C2211yescharacteristic, complemented
63#17988974C2211yescharacteristic
64#17988969C2211yescharacteristic
65#17988969C2211yescharacteristic, complemented
66#17988955C2211yescharacteristic, complemented
67#17988951C2211yescharacteristic
68#17988946C2211yescharacteristic
69#17988946C2211yescharacteristic, complemented
70#17988941C2211yescharacteristic
71#17988941C2211yescharacteristic, complemented
72#17988925C2211yescharacteristic, complemented
73#17988925C2211yescharacteristic, complemented
74#17988920C2211yescharacteristic, complemented
75#17988908C2211yescharacteristic
76#17988908C2211yescharacteristic
77#17988903C2211yescharacteristic
78#17988894C2211yescharacteristic, complemented
79#17988894C2211yescharacteristic, complemented
80#17988891C2211yescharacteristic, complemented
81#17988891C2211yescharacteristic, complemented
82#17988887C2211yescharacteristic
83#17988887C2211yescharacteristic, complemented
84#17988884C2211yescharacteristic, complemented
85#17988884C2211yescharacteristic, complemented
86#17988882C2211yescharacteristic, complemented
87#17988877C2211yescharacteristic, complemented
88#17988843C2211yescharacteristic, complemented
89#17988838C2211yescharacteristic
90#17988835C2211yescharacteristic, complemented
91#17988831C2211yescharacteristic
92#17988826C2211yescharacteristic, complemented
93#17988821C2211yescharacteristic
94#17988821C2211yescharacteristic
95#17988821C2211yescharacteristic
96#17988818C2211yescharacteristic, complemented
97#17988818C2211yescharacteristic, complemented
98#17988818C2211yescharacteristic, complemented
99#17988814C2211yescharacteristic
100#17988809C2211yescharacteristic, complemented
101#17988809C2211yescharacteristic, complemented
102#17988806C2211yescharacteristic
103#17988806C2211yescharacteristic
104#17988806C2211yescharacteristic
105#17988806C2211yescharacteristic
106#17988806C2211yescharacteristic
107#17988806C2211yescharacteristic, complemented
108#17988806C2211yescharacteristic, complemented
109#17988806C2211yescharacteristic, complemented
110#17988806C2211yescharacteristic, complemented
111#17988806C2211yescharacteristic, complemented
112#17988806C2211yescharacteristic, complemented
113#17988806C2211yescharacteristic, complemented
114#17988802C2211yescharacteristic
115#17988802C2211yescharacteristic, complemented
116#17988799C2211yescharacteristic
117#17988799C2211yescharacteristic
118#17988799C2211yescharacteristic
119#17988799C2211yescharacteristic, complemented
120#17988799C2211yescharacteristic, complemented
121#17988799C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic, complemented
123#17988799C2211yescharacteristic, complemented
124#17988794C2211yescharacteristic, complemented
125#17988789C2211yescharacteristic, complemented
126#17988787C2211yescharacteristic, complemented
127#17988784C2211yescharacteristic
128#17988782C2211yescharacteristic, complemented
129#17988779C2211yescharacteristic
130#17988749C2211yescharacteristic, complemented
131#17988749C2211yescharacteristic, complemented
132#17988747C2211yescharacteristic, complemented
133#17988747C2211yescharacteristic, complemented
134#17988743C2211yescharacteristic, complemented
135#17988742C2211yescharacteristic, complemented
136#17988738C2211yescharacteristic
137#17988732C2211yescharacteristic, complemented
138#17988732C2211yescharacteristic, complemented
139#17988730C2211yescharacteristic
140#17988730C2211yescharacteristic
141#17988726C2211yescharacteristic, complemented
142#17988726C2211yescharacteristic, complemented
143#17988726C2211yescharacteristic, complemented
144#17988725C2211yescharacteristic
145#17988721C2211yescharacteristic
146#17988721C2211yescharacteristic
147#17988721C2211yescharacteristic
148#17988718C2211yescharacteristic, complemented
149#17988718C2211yescharacteristic, complemented
150#17988697C2211yescharacteristic
151#17988692C2211yescharacteristic, complemented
152#17988692C2211yescharacteristic, complemented
153#17988692C2211yescharacteristic, complemented
154#17988687C2211yescharacteristic
155#17988687C2211yescharacteristic, complemented
156#17988687C2211yescharacteristic, complemented
157#17988685C2211yescharacteristic, complemented
158C4×#11924018C2211yescharacteristic, complemented
159C4×#11924015C2211yescharacteristic, complemented
160C4×#11924016C2211yescharacteristic, complemented
161C4×#11924013C2211yescharacteristic, complemented
162#17988659C2211yescharacteristic
163#17988659C2211yescharacteristic
164#17988659C2211yescharacteristic, complemented
165#17988659C2211yescharacteristic, complemented
166D4×#10596831C2211yescharacteristic, complemented
167D4×#10596831C2211yescharacteristic, complemented
168#17988644C2211yescharacteristic, complemented
169#17988644C2211yescharacteristic, complemented
170#17988640C2211yescharacteristic, complemented
171#17988611C2211yescharacteristic, complemented
172C2×C4⋊#10596831C2211yescharacteristic, complemented
173C2×C4⋊#10596831C2211yescharacteristic, complemented
174#17988596C2211yescharacteristic, complemented
175#17988592C2211yescharacteristic
176#17988583C2211yescharacteristic, complemented
177#17988583C2211yescharacteristic, complemented
178C2×#14556515C2211yescharacteristic, complemented
179C2×#14556512C2211yescharacteristic
180#559×C73C2211yescharacteristic
181#556×C73C2211yescharacteristic
182#555×C73—21no—
183#551×C73—21no—
184#551×C73—21no—
185D4×Q8×C73C2211yescharacteristic
186#548×C73C2211yescharacteristic
187#548×C73C2211yescharacteristic
188#546×C73—21no—
189#546×C73C2211yescharacteristic
190#546×C73C2211yescharacteristic
191D42×C73C2211yescharacteristic
192#542×C73—21no—
193#538×C73—21no—
194#538×C73—21no—
195#532×C73C2211yescharacteristic
196#529×C73C2211yescharacteristic
197#529×C73C2211yescharacteristic
198#529×C73C2211yescharacteristic
199C2×#124×C73C2211yescharacteristic
200C2×#124×C73C2211yescharacteristic
201#518×C73—21no—
202C4×#41×C73C2211yescharacteristic
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207#14556622—42no—
208#14556617—42no—
209#14556611—42no—
210#14556611—42no—
211C2×#11924018—42no—
212C2×#11924018C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924016—42no—
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924012C2311yescharacteristic
238C2×#11924012C2311yescharacteristic
239C22×#10596831C2311yescharacteristic
240C22×#10596831C2311yescharacteristic
241C22×#10596831C2311yescharacteristic
242C22×#10596831C2311yescharacteristic
243#14556591C2311yescharacteristic
244#14556589—21no—
245#14556588C2311yescharacteristic
246#14556587—21no—
247#14556586—21no—
248#14556586—21no—
249#14556585—21no—
250#14556585—21no—
251#14556584—21no—
252#14556584—21no—
253#14556583C2311yescharacteristic
254#14556583C2311yescharacteristic
255#14556581—21no—
256#14556581—21no—
257#14556580—21no—
258#14556579—21no—
259#14556579C2311yescharacteristic
260#14556579C2311yescharacteristic
261#14556578—21no—
262#14556577—21no—
263#14556577—21no—
264#14556576—21no—
265#14556576—21no—
266#14556574—21no—
267#14556574—21no—
268#14556573—21no—
269#14556573—21no—
270#14556570C2311yescharacteristic
271#14556570C2311yescharacteristic
272#14556569—21no—
273#14556569—21no—
274#14556565—21no—
275#14556565C2311yescharacteristic
276#14556565C2311yescharacteristic
277#14556565C2311yescharacteristic
278#14556565C2311yescharacteristic
279#14556564—21no—
280#14556564—21no—
281#14556563—21no—
282#14556563—21no—
283#14556563—21no—
284#14556563—21no—
285C4×Dic146—21no—
286C4×Dic146—21no—
287C4×Dic146C2311yescharacteristic
288C4×Dic146C2311yescharacteristic
289C4×Dic146C2311yescharacteristic
290C4×Dic146C2311yescharacteristic
291C4×Dic146C2311yescharacteristic
292C4×Dic146C2311yescharacteristic
293#14556556—21no—
294#14556556—21no—
295C4×D292—21no—
296C4×D292C2311yescharacteristic
297C4×D292C2311yescharacteristic
298C4×D292C2311yescharacteristic
299C4×D292C2311yescharacteristic
300#14556553—21no—
301#14556553—21no—
302C4×C22⋊D73—21no—
303C4×C22⋊D73—21no—
304C4×C22⋊D73—21no—
305C4×C22⋊D73—21no—
306C4×C22⋊D73—21no—
307C4×C22⋊D73—21no—
308#14556551—21no—
309#14556551—21no—
310#14556551—21no—
311#14556551—21no—
312#14556550C2311yescharacteristic
313#14556550C2311yescharacteristic
314#14556548—21no—
315#14556548—21no—
316#14556548—21no—
317#14556548—21no—
318C2×C4⋊Dic73C2311yescharacteristic
319C2×#11924007—21no—
320C2×C4×Dic73—21no—
321C42×D73—21no—
322C42×D73—21no—
323#14556524C2311yescharacteristic
324#14556524C2311yescharacteristic
325#14556524C2311yescharacteristic
326#14556524C2311yescharacteristic
327#14556522C2311yescharacteristic
328#14556522C2311yescharacteristic
329#14556522C2311yescharacteristic
330#14556522C2311yescharacteristic
331C4⋊#10596831C2311yescharacteristic
332C4⋊#10596831C2311yescharacteristic
333C4⋊#10596831C2311yescharacteristic
334C4⋊#10596831C2311yescharacteristic
335C4⋊#10596831C2311yescharacteristic
336C4⋊#10596831C2311yescharacteristic
337C4⋊#10596831C2311yescharacteristic
338C4⋊#10596831C2311yescharacteristic
339C4⋊#10596831C2311yescharacteristic
340C4⋊#10596831C2311yescharacteristic
341#14556515C2311yescharacteristic
342#14556515C2311yescharacteristic
343#14556515C2311yescharacteristic
344#14556515C2311yescharacteristic
345#14556515C2311yescharacteristic
346#14556515C2311yescharacteristic
347#14556515C2311yescharacteristic
348#14556515C2311yescharacteristic
349#14556515C2311yescharacteristic
350#14556515C2311yescharacteristic
351#14556515C2311yescharacteristic
352#14556515C2311yescharacteristic
353#14556514C2311yescharacteristic
354#14556514C2311yescharacteristic
355#14556514C2311yescharacteristic
356#14556514C2311yescharacteristic
357#14556512C2311yescharacteristic
358#14556512C2311yescharacteristic
359#14556512C2311yescharacteristic
360#14556512C2311yescharacteristic
361#14556512C2311yescharacteristic
362#14556512C2311yescharacteristic
363#14556512C2311yescharacteristic
364#14556512C2311yescharacteristic
365#14556512C2311yescharacteristic
366#14556512C2311yescharacteristic
367#14556512C2311yescharacteristic
368#14556512C2311yescharacteristic
369#14556511C2311yescharacteristic
370#14556511C2311yescharacteristic
371#14556511C2311yescharacteristic
372#14556511C2311yescharacteristic
373C22⋊#10596831C2311yescharacteristic
374C22⋊#10596831C2311yescharacteristic
375C22⋊#10596831C2311yescharacteristic
376C22⋊#10596831C2311yescharacteristic
377C22⋊#10596831C2311yescharacteristic
378C22⋊#10596831C2311yescharacteristic
379#14556502C2311yescharacteristic
380#14556502C2311yescharacteristic
381#14556502C2311yescharacteristic
382#14556502C2311yescharacteristic
383C4×#10596831C2311yescharacteristic
384C4×#10596831C2311yescharacteristic
385C2×#41×C73D411yescharacteristic
386C2×#41×C73C2311yescharacteristic
387C2×#41×C73C2311yescharacteristic
388C22×Q8×C73C2311yescharacteristic
389C22×Q8×C73C2311yescharacteristic
390C22×D4×C73—21no—
391C22×D4×C73C2311yescharacteristic
392C22×D4×C73C2311yescharacteristic
393C4⋊Q8×C73—21no—
394C4⋊Q8×C73C2311yescharacteristic
395#127×C73C2311yescharacteristic
396#126×C73—21no—
397#126×C73—21no—
398#126×C73—21no—
399#126×C73—21no—
400#126×C73—21no—
401#125×C73C2311yescharacteristic
402#124×C73—21no—
403#124×C73—21no—
404#124×C73—21no—
405#124×C73—21no—
406#124×C73—21no—
407#124×C73—21no—
408#124×C73—21no—
409#124×C73C2311yescharacteristic
410#124×C73C2311yescharacteristic
411#124×C73C2311yescharacteristic
412#124×C73C2311yescharacteristic
413#124×C73C2311yescharacteristic
414#124×C73C2311yescharacteristic
415#124×C73C2311yescharacteristic
416#123×C73—21no—
417#123×C73—21no—
418#123×C73—21no—
419#123×C73—21no—
420#123×C73—21no—
421#123×C73—21no—
422#123×C73—21no—
423C22⋊Q8×C73—21no—
424C22⋊Q8×C73—21no—
425C22⋊Q8×C73—21no—
426C22⋊Q8×C73—21no—
427C22⋊Q8×C73—21no—
428C22⋊Q8×C73C2311yescharacteristic
429C22⋊Q8×C73C2311yescharacteristic
430C22⋊Q8×C73C2311yescharacteristic
431#121×C73—21no—
432#121×C73—21no—
433#121×C73—21no—
434#121×C73—21no—
435#121×C73—21no—
436#121×C73—21no—
437#121×C73—21no—
438#121×C73C2311yescharacteristic
439#121×C73C2311yescharacteristic
440#121×C73C2311yescharacteristic
441#120×C73—21no—
442#120×C73—21no—
443#120×C73—21no—
444#120×C73—21no—
445C4×Q8×C73D411yescharacteristic
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×Q8×C73C2311yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73—21no—
459C4×D4×C73D411yescharacteristic
460C4×D4×C73D411yescharacteristic
461C4×D4×C73D411yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468#117×C73—21no—
469#117×C73—21no—
470#117×C73—21no—
471#117×C73—21no—
472#117×C73D411yescharacteristic
473#117×C73D411yescharacteristic
474#117×C73D411yescharacteristic
475C2×C22⋊C4×C73—21no—
476C2×C22⋊C4×C73—21no—
477C2×C22⋊C4×C73—21no—
478C2×C22⋊C4×C73—21no—
479C2×C22⋊C4×C73—21no—
480C2×C22⋊C4×C73—21no—
481C2×C42×C73C2311yescharacteristic
482C2×C42×C73C2311yescharacteristic
483C2×C42×C73C2311yescharacteristic
484#11924028—22no—
485#11924028—22no—
486#11924028—41no—
487#11924028—41no—
488#11924028—44no—
489C2×Dic146—22no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—41no—
493C2×Dic146C2411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×D292—21no—
496C2×D292—21no—
497C2×D292C2411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C2×C4×D73—21no—
508C2×C4×D73—21no—
509C2×C4×D73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513#11924018—22no—
514#11924018—22no—
515#11924018—22no—
516#11924018—41no—
517#11924018—41no—
518#11924018—41no—
519#11924016—22no—
520#11924016—22no—
521#11924016—22no—
522#11924016—41no—
523#11924016—41no—
524#11924016—41no—
525#11924015—41no—
526#11924015—41no—
527#11924015—41no—
528#11924015—41no—
529#11924015—41no—
530#11924015—41no—
531#11924013—41no—
532#11924013—41no—
533#11924013—41no—
534#11924013—41no—
535#11924013—41no—
536#11924013—41no—
537#11924012—41no—
538#11924012—41no—
539C2×#10596831—41no—
540C2×#10596831—41no—
541C2×#10596831—41no—
542C2×#10596831—41no—
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569C22⋊Dic73—21no—
570C22⋊Dic73—21no—
571C22⋊Dic73—21no—
572C22⋊Dic73—21no—
573#11924005—21no—
574#11924005—21no—
575#11924005—21no—
576#11924005—21no—
577#11924005—21no—
578#11924005—21no—
579#11924005—21no—
580#11924005—21no—
581#11924005—21no—
582#11924005—21no—
583#11924005—21no—
584#11924005—21no—
585C4×Dic73—21no—
586C4×Dic73—21no—
587C4×Dic73—21no—
588C4×Dic73—21no—
589C4×Dic73—21no—
590C4×Dic73—21no—
591C4×Dic73—21no—
592C4×Dic73—21no—
593C24×C73—21no—
594C24×C73—21no—
595#41×C73—42no—
596#41×C73—41no—
597#41×C73—41no—
598#41×C73—41no—
599#41×C73—41no—
600C2×Q8×C73—21no—
601C2×Q8×C73—21no—
602C2×Q8×C73—41no—
603C2×Q8×C73—41no—
604C2×Q8×C73—41no—
605C2×Q8×C73—41no—
606C2×Q8×C73C2×D411yescharacteristic
607C2×Q8×C73C2411yescharacteristic
608C2×Q8×C73C2411yescharacteristic
609C2×Q8×C73C2411yescharacteristic
610C2×D4×C73—21no—
611C2×D4×C73—21no—
612C2×D4×C73—21no—
613C2×D4×C73—21no—
614C2×D4×C73—21no—
615C2×D4×C73—21no—
616C2×D4×C73—21no—
617C2×D4×C73—21no—
618C2×D4×C73—21no—
619C2×D4×C73—41no—
620C2×D4×C73—41no—
621C2×D4×C73—41no—
622C2×D4×C73—41no—
623C2×D4×C73—44no—
624C2×D4×C73C2×D411yescharacteristic
625C2×D4×C73C2×D411yescharacteristic
626C2×D4×C73C2×D411yescharacteristic
627C2×D4×C73C2411yescharacteristic
628C2×D4×C73C2411yescharacteristic
629C2×D4×C73C2411yescharacteristic
630C22×C4×C73—21no—
631C22×C4×C73—21no—
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73C2×D411yescharacteristic
638C22×C4×C73C2×D411yescharacteristic
639C22×C4×C73C2×D411yescharacteristic
640C22×C4×C73C2×D411yescharacteristic
641C22×C4×C73C2×D411yescharacteristic
642C22×C4×C73C2×D411yescharacteristic
643C22×C4×C73C2411yescharacteristic
644C22×C4×C73C2411yescharacteristic
645C22×C4×C73C2411yescharacteristic
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73C2×D411yescharacteristic
657C4⋊C4×C73C2×D411yescharacteristic
658C4⋊C4×C73C2×D411yescharacteristic
659C4⋊C4×C73C2×D411yescharacteristic
660C4⋊C4×C73C2×D411yescharacteristic
661C4⋊C4×C73C2×D411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73—21no—
671C22⋊C4×C73—21no—
672C22⋊C4×C73—21no—
673C22⋊C4×C73—21no—
674C22⋊C4×C73—21no—
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C22⋊C4×C73C2×D411yescharacteristic
690C22⋊C4×C73C2×D411yescharacteristic
691C22⋊C4×C73C2×D411yescharacteristic
692C22⋊C4×C73C2×D411yescharacteristic
693C42×C73—21no—
694C42×C73—21no—
695C42×C73—21no—
696C42×C73C2×D411yescharacteristic
697C42×C73C2×D411yescharacteristic
698C42×C73C2×D411yescharacteristic
699C42×C73C2×D411yescharacteristic
700C42×C73C2×D411yescharacteristic
701C42×C73C2×D411yescharacteristic
702C42×C73C2411yescharacteristic
703C42×C73C2411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—42no—
710C23×C73—42no—
711C23×C73—81no—
712C23×C73—81no—
713C23×C73—81no—
714C23×C73—81no—
715C23×C73C22×D411yescharacteristic
716C23×C73C22×D411yescharacteristic
717C23×C73C22×D411yescharacteristic
718C22×D73—21no—
719C22×D73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—41no—
727Q8×C73—81no—
728Q8×C73—81no—
729D4×C73—22no—
730D4×C73—22no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—41no—
738D4×C73—42no—
739D4×C73—42no—
740D4×C73—42no—
741D4×C73—81no—
742D4×C73—81no—
743D4×C73—81no—
744D4×C73—81no—
745D4×C73—81no—
746D4×C73—81no—
747C2×C4×C73—22no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
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—41no—
760C2×C4×C73—41no—
761C2×C4×C73—41no—
762C2×C4×C73—41no—
763C2×C4×C73—41no—
764C2×C4×C73—42no—
765C2×C4×C73—81no—
766C2×C4×C73—81no—
767C2×C4×C73—81no—
768C2×C4×C73—81no—
769C2×C4×C73—81no—
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×C73C22×D411yescharacteristic
777C2×C4×C73C22×D411yescharacteristic
778C2×C4×C73C22×D411yescharacteristic
779C2×C4×C73C22×D411yescharacteristic
780C2×C4×C73C22×D411yescharacteristic
781C2×C4×C73C22×D411yescharacteristic
782C2×C4×C73C2511yescharacteristic
783C22⋊D73—42no—
784C22⋊D73—42no—
785C22⋊D73—42no—
786C22⋊D73—42no—
787C22⋊D73—81no—
788C22⋊D73—81no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—42no—
796C2×Dic73—81no—
797D292—21no—
798D292—21no—
799D292—21no—
800D292—21no—
801D292—42no—
802D292—81no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—81no—
808C4×D73—81no—
809Dic146—21no—
810Dic146—21no—
811Dic146—21no—
812Dic146—42no—
813Dic146—42no—
814Dic146H(5,𝔽2)12yes—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818#10596831—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—21no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—162no—
841C22×C73—162no—
842C22×C73#57512yes—
843C22×C73C23×D411yescharacteristic
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C4×C73—21no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—21no—
857C4×C73—21no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73C2×H(5,𝔽2)11yescharacteristic
867C4×C73#58511yescharacteristic
868Dic73—22no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874#61992—731nomaximal, Sylow
875C2×C73—22no—
876C2×C73—41no—
877C2×C73—41no—
878C2×C73—81no—
879C2×C73—81no—
880C2×C73—81no—
881C2×C73#348811yescharacteristic
882C2×C73C2×#57511yescharacteristic
883C2×C73#358411yescharacteristic
884D73—81no—
885D73—81no—
886#3514D7311yescharacteristic, complemented
887#3480—731no—
888#3403—731no—
889#3401—731no—
890#3377—731no—
891#3371—731no—
892#3320—731no—
893#3318—731no—
894#3313—731no—
895#3311—731no—
896#3301—731no—
897#3297—731no—
898#3285—731no—
899#3282—731no—
900#3271—731no—
901#3270—731no—
902#3268—731no—
903#3265—731no—
904#3256—731no—
905#3250—731no—
906#3247—731no—
907#3219—731no—
908#3213—731no—
909#3211—731no—
910#3117—731no—
911#3111—731no—
912#3102—731no—
913#3040—731no—
914#3035—731no—
915C2×#464—731no—
916#2990—731no—
917C73#6199211yescharacteristic, complemented, Sylow
918C2×#137—731no—
919C2×AGL(1,ℤ/8)—731no—
920C2×#135—731no—
921C2×#135—731no—
922C22×Q16—731no—
923C22×SD16—731no—
924#559—731no—
925#559—1461no—
926#559C2×D7311yescharacteristic
927#557—731no—
928#556—731no—
929#556—1461no—
930#556C2×D7311yescharacteristic
931#555—21no—
932#553—731no—
933#553—731no—
934#553—1461no—
935#553—1461no—
936#551—21no—
937#551—21no—
938#550—731no—
939D4×Q8C2×D7311yescharacteristic
940#548—731no—
941#548—731no—
942#548C2×D7311yescharacteristic
943#548C2×D7311yescharacteristic
944#546—21no—
945#546C2×D7311yescharacteristic
946#546C2×D7311yescharacteristic
947D42C2×D7311yescharacteristic
948#542—21no—
949#538—21no—
950#538—21no—
951#532—731no—
952#532—1461no—
953#532C2×D7311yescharacteristic
954#529—731no—
955#529—731no—
956#529—1461no—
957#529—1461no—
958#529C2×D7311yescharacteristic
959#529C2×D7311yescharacteristic
960#529C2×D7311yescharacteristic
961C2×#124C2×D7311yescharacteristic
962C2×#124C2×D7311yescharacteristic
963#518—21no—
964C4×#41—731no—
965C4×#41—731no—
966C4×#41—1461no—
967C4×#41C2×D7311yescharacteristic
968C2×C4×Q8—731no—
969#497—731no—
970#496—731no—
971#496—731no—
972#496—731no—
973#495—731no—
974#495—731no—
975#491—731no—
976#490—731no—
977#489—731no—
978#489—731no—
979#488—731no—
980#488—731no—
981#485—731no—
982#485—731no—
983#484—731no—
984#482—731no—
985#482—731no—
986#481—731no—
987#479—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#478—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#477—731no—
996#476—731no—
997#470—731no—
998#469—731no—
999#468—731no—
1000#468—731no—
1001#467—731no—
1002#466—731no—
1003#466—731no—
1004#466—731no—
1005#465—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#462—731no—
1034#461—731no—
1035#460—731no—
1036#460—731no—
1037#459—731no—
1038#459—731no—
1039#452—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#451—731no—
1044#451—731no—
1045#450—731no—
1046#449—731no—
1047#449—731no—
1048#449—731no—
1049#449—731no—
1050#448—731no—
1051#448—731no—
1052#448—731no—
1053#448—731no—
1054#447—731no—
1055#447—731no—
1056#447—731no—
1057#446—731no—
1058#446—731no—
1059#442—731no—
1060#441—731no—
1061#441—731no—
1062#441—731no—
1063#440—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067C4×Q16—731no—
1068C4×SD16—731no—
1069C4×SD16—731no—
1070C4×D8—731no—
1071#435—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075C8×D4—731no—
1076C8×D4—731no—
1077#432—731no—
1078#432—731no—
1079#431—731no—
1080#423—731no—
1081C2×C4⋊C8—731no—
1082C2×C4⋊C8—731no—
1083#419—731no—
1084#418—731no—
1085#416—731no—
1086#416—731no—
1087C2×#103—731no—
1088C2×#102—731no—
1089C2×#41—731no—
1090C2×#41—731no—
1091C2×#41—1461no—
1092C2×#41C22⋊D7311yescharacteristic
1093C2×#41C22×D7311yescharacteristic
1094C2×#41C22×D7311yescharacteristic
1095C22×Q8—731no—
1096C22×Q8C22×D7311yescharacteristic
1097C22×Q8C22×D7311yescharacteristic
1098C22×D4—21no—
1099C22×D4C22×D7311yescharacteristic
1100C22×D4C22×D7311yescharacteristic
1101#137—2922no—
1102AGL(1,ℤ/8)—2922no—
1103#135—2922no—
1104#135—2922no—
1105C2×Q16—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16—731no—
1111C2×Q16—731no—
1112C2×SD16—2922no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×D8—731no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8—731no—
1131C2×M16—731no—
1132C2×M16—731no—
1133C22×C8—731no—
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8—731no—
1137C4⋊Q8—21no—
1138C4⋊Q8—731no—
1139C4⋊Q8—1461no—
1140C4⋊Q8C22×D7311yescharacteristic
1141#127—731no—
1142#127—1461no—
1143#127C22×D7311yescharacteristic
1144#126—21no—
1145#126—21no—
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#126—1461no—
1155#125—731no—
1156#125—731no—
1157#125—1461no—
1158#125—1461no—
1159#125C22×D7311yescharacteristic
1160#124—21no—
1161#124—21no—
1162#124—21no—
1163#124—21no—
1164#124—21no—
1165#124—21no—
1166#124—21no—
1167#124—731no—
1168#124—731no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124C22×D7311yescharacteristic
1175#124C22×D7311yescharacteristic
1176#124C22×D7311yescharacteristic
1177#124C22×D7311yescharacteristic
1178#124C22×D7311yescharacteristic
1179#124C22×D7311yescharacteristic
1180#124C22×D7311yescharacteristic
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—731no—
1200C22⋊Q8—731no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8C22×D7311yescharacteristic
1204C22⋊Q8C22×D7311yescharacteristic
1205C22⋊Q8C22×D7311yescharacteristic
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—731no—
1214#121—731no—
1215#121—731no—
1216#121—731no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121C22×D7311yescharacteristic
1225#121C22×D7311yescharacteristic
1226#121C22×D7311yescharacteristic
1227#120—21no—
1228#120—21no—
1229#120—21no—
1230#120—21no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8—1461no—
1240C4×Q8—1461no—
1241C4×Q8C22⋊D7311yescharacteristic
1242C4×Q8C22×D7311yescharacteristic
1243C4×Q8C22×D7311yescharacteristic
1244C4×Q8C22×D7311yescharacteristic
1245C4×Q8C22×D7311yescharacteristic
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—731no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4C22⋊D7311yescharacteristic
1273C4×D4C22⋊D7311yescharacteristic
1274C4×D4C22⋊D7311yescharacteristic
1275C4×D4C22×D7311yescharacteristic
1276C4×D4C22×D7311yescharacteristic
1277C4×D4C22×D7311yescharacteristic
1278C4×D4C22×D7311yescharacteristic
1279C4×D4C22×D7311yescharacteristic
1280C4×D4C22×D7311yescharacteristic
1281#117—21no—
1282#117—21no—
1283#117—21no—
1284#117—21no—
1285#117—731no—
1286#117—731no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117C22⋊D7311yescharacteristic
1292#117C22⋊D7311yescharacteristic
1293#117C22⋊D7311yescharacteristic
1294C2×C4⋊C4—731no—
1295C2×C4⋊C4—1461no—
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—21no—
1299C2×C22⋊C4—21no—
1300C2×C22⋊C4—21no—
1301C2×C22⋊C4—21no—
1302C2×C42—1461no—
1303C2×C42—1461no—
1304C2×C42—1461no—
1305C2×C42C22×D7311yescharacteristic
1306C2×C42C22×D7311yescharacteristic
1307C2×C42C22×D7311yescharacteristic
1308#107—731no—
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#106—731no—
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358C22⋊C8—731no—
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364#97—731no—
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368C4×C8—731no—
1369C4×C8—731no—
1370C24—21no—
1371C24—21no—
1372#41—42no—
1373#41—41no—
1374#41—41no—
1375#41—41no—
1376#41—41no—
1377#41—2924no—
1378#41—2921no—
1379#41—2921no—
1380#41—1462no—
1381#41—1462no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—41no—
1385C2×Q8—41no—
1386C2×Q8—41no—
1387C2×Q8—41no—
1388C2×Q8—2921no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—1462no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×Q8C2×C22⋊D7311yescharacteristic
1395C2×Q8C23×D7311yescharacteristic
1396C2×Q8C23×D7311yescharacteristic
1397C2×Q8C23×D7311yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—44no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4C2×C22⋊D7311yescharacteristic
1423C2×D4C2×C22⋊D7311yescharacteristic
1424C2×D4C2×C22⋊D7311yescharacteristic
1425C2×D4C23×D7311yescharacteristic
1426C2×D4C23×D7311yescharacteristic
1427C2×D4C23×D7311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4C2×C22⋊D7311yescharacteristic
1444C22×C4C2×C22⋊D7311yescharacteristic
1445C22×C4C2×C22⋊D7311yescharacteristic
1446C22×C4C2×C22⋊D7311yescharacteristic
1447C22×C4C2×C22⋊D7311yescharacteristic
1448C22×C4C2×C22⋊D7311yescharacteristic
1449C22×C4C23×D7311yescharacteristic
1450C22×C4C23×D7311yescharacteristic
1451C22×C4C23×D7311yescharacteristic
1452Q16—2921no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—1462no—
1456Q16—1462no—
1457Q16—1462no—
1458SD16—2921no—
1459SD16—2921no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—1462no—
1468SD16—1462no—
1469SD16—1462no—
1470D8—2921no—
1471D8—2921no—
1472D8—2921no—
1473D8—2921no—
1474D8—2921no—
1475D8—2921no—
1476M16—2921no—
1477M16—2921no—
1478C2×C8—2921no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—2921no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8—731no—
1486C2×C8—731no—
1487C2×C8—731no—
1488C2×C8—731no—
1489C2×C8—731no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—731no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4C2×C22⋊D7311yescharacteristic
1519C4⋊C4C2×C22⋊D7311yescharacteristic
1520C4⋊C4C2×C22⋊D7311yescharacteristic
1521C4⋊C4C2×C22⋊D7311yescharacteristic
1522C4⋊C4C2×C22⋊D7311yescharacteristic
1523C4⋊C4C2×C22⋊D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4C2×C22⋊D7311yescharacteristic
1566C22⋊C4C2×C22⋊D7311yescharacteristic
1567C22⋊C4C2×C22⋊D7311yescharacteristic
1568C22⋊C4C2×C22⋊D7311yescharacteristic
1569C22⋊C4C2×C22⋊D7311yescharacteristic
1570C22⋊C4C2×C22⋊D7311yescharacteristic
1571C42—21no—
1572C42—21no—
1573C42—21no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42C2×C22⋊D7311yescharacteristic
1583C42C2×C22⋊D7311yescharacteristic
1584C42C2×C22⋊D7311yescharacteristic
1585C42C2×C22⋊D7311yescharacteristic
1586C42C2×C22⋊D7311yescharacteristic
1587C42C2×C22⋊D7311yescharacteristic
1588C42C23×D7311yescharacteristic
1589C42C23×D7311yescharacteristic
1590C42C23×D7311yescharacteristic
1591C42C23×D7311yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—42no—
1596C23—42no—
1597C23—81no—
1598C23—81no—
1599C23—81no—
1600C23—81no—
1601C23—1461no—
1602C23—1461no—
1603C23C22×C22⋊D7311yescharacteristic
1604C23C22×C22⋊D7311yescharacteristic
1605C23C22×C22⋊D7311yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—41no—
1613Q8—81no—
1614Q8—81no—
1615Q8—2922no—
1616Q8—2922no—
1617Q8—732no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621D4—22no—
1622D4—22no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—41no—
1630D4—42no—
1631D4—42no—
1632D4—42no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—2922no—
1640D4—2922no—
1641D4—2922no—
1642D4—2922no—
1643D4—2922no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4—1461no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—2922no—
1676C2×C4—2922no—
1677C2×C4—2922no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—5841no—
1683C2×C4—1461no—
1684C2×C4—1461no—
1685C2×C4—1461no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4C22×C22⋊D7311yescharacteristic
1690C2×C4C22×C22⋊D7311yescharacteristic
1691C2×C4C22×C22⋊D7311yescharacteristic
1692C2×C4C22×C22⋊D7311yescharacteristic
1693C2×C4C22×C22⋊D7311yescharacteristic
1694C2×C4C22×C22⋊D7311yescharacteristic
1695C2×C4C22×C22⋊D7311yescharacteristic
1696C2×C4C22×C22⋊D7311yescharacteristic
1697C2×C4C22×C22⋊D7311yescharacteristic
1698C2×C4C22×C22⋊D7311yescharacteristic
1699C2×C4C22×C22⋊D7311yescharacteristic
1700C2×C4C24×D7311yescharacteristic
1701C8—1461no—
1702C8—1461no—
1703C8—1461no—
1704C8—1461no—
1705C8—1461no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—162no—
1727C22—162no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—2921no—
1732C22—2921no—
1733C22—2921no—
1734C22#1798938512yes—
1735C22C23×C22⋊D7311yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—2921no—
1753C4—2921no—
1754C4—2921no—
1755C4—2921no—
1756C4—2921no—
1757C4—1462no—
1758C4H(5,𝔽2)×D7311yescharacteristic
1759C4#1798942211yescharacteristic
1760C2—22no—
1761C2—41no—
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—5841no—
1767C2—5841no—
1768C2#2262359311yescharacteristic
1769C2C2×#1798938511yescharacteristic
1770C2#2262470211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3514C2
socleC22×C73C23×D4
hypercenter#3514D73
hypocenterC73#61992
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3514

Complements

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

NH ≅ G/Ntype
1. #22623524C2semidirect
2. #22623015C2semidirect
3. #22622997C2semidirect
4. #22622767C2semidirect
5. #22622693C2semidirect
6. #22622102C2semidirect
7. #22622072C2semidirect
8. #22621997C2semidirect
9. #22621967C2semidirect
10. #22621833C2semidirect
11. #22621781C2semidirect
12. #22621668C2semidirect
13. #22621634C2semidirect
14. #22621517C2semidirect
15. #22621502C2semidirect
16. #22621467C2semidirect
17. #22621422C2semidirect
18. #22621327C2semidirect
19. #22621278C2semidirect
20. #22621257C2semidirect
21. #22620968C2semidirect
22. #22620918C2semidirect
23. #22620896C2semidirect
24. #22620098C2semidirect
25. #22620034C2semidirect
26. #22619943C2semidirect
27. #22619421C2semidirect
28. #22619380C2semidirect
29. C2×#17988806C2semidirect
30. #22619056C2semidirect
31. C73×#3514C2semidirect
32. C2×#14556622C22semidirect
34. C2×#14556611C22semidirect
35. C2×#14556611C22semidirect
36. C22×#11924018C22semidirect
38. #17989322C22semidirect
40. #17989315C22semidirect
42. #17989307C22semidirect
46. #17989283C22semidirect
47. #17989258C22semidirect
49. #17989246C22semidirect
50. #17989137C22semidirect
52. #17989121C22semidirect
53. #17989121C22semidirect
56. C4×#11924028C22semidirect
57. C4×#11924028C22semidirect
59. C2×C4×Dic146C22semidirect
60. #17988979C22semidirect
62. #17988977C22semidirect
65. #17988969C22semidirect
66. #17988955C22semidirect
69. #17988946C22semidirect
71. #17988941C22semidirect
72. #17988925C22semidirect
73. #17988925C22semidirect
74. #17988920C22semidirect
78. #17988894C22semidirect
79. #17988894C22semidirect
80. #17988891C22semidirect
81. #17988891C22semidirect
83. #17988887C22semidirect
84. #17988884C22semidirect
85. #17988884C22semidirect
86. #17988882C22semidirect
87. #17988877C22semidirect
88. #17988843C22semidirect
90. #17988835C22semidirect
92. #17988826C22semidirect
96. #17988818C22semidirect
97. #17988818C22semidirect
98. #17988818C22semidirect
100. #17988809C22semidirect
101. #17988809C22semidirect
107. #17988806C22semidirect
108. #17988806C22semidirect
109. #17988806C22semidirect
110. #17988806C22semidirect
111. #17988806C22semidirect
112. #17988806C22semidirect
113. #17988806C22semidirect
115. #17988802C22semidirect
119. #17988799C22semidirect
120. #17988799C22semidirect
121. #17988799C22semidirect
122. #17988799C22semidirect
123. #17988799C22semidirect
124. #17988794C22semidirect
125. #17988789C22semidirect
126. #17988787C22semidirect
128. #17988782C22semidirect
130. #17988749C22semidirect
131. #17988749C22semidirect
132. #17988747C22semidirect
133. #17988747C22semidirect
134. #17988743C22semidirect
135. #17988742C22semidirect
137. #17988732C22semidirect
138. #17988732C22semidirect
141. #17988726C22semidirect
142. #17988726C22semidirect
143. #17988726C22semidirect
148. #17988718C22semidirect
149. #17988718C22semidirect
151. #17988692C22semidirect
152. #17988692C22semidirect
153. #17988692C22semidirect
155. #17988687C22semidirect
156. #17988687C22semidirect
157. #17988685C22semidirect
158. C4×#11924018C22semidirect
159. C4×#11924015C22semidirect
160. C4×#11924016C22semidirect
161. C4×#11924013C22semidirect
164. #17988659C22semidirect
165. #17988659C22semidirect
166. D4×#10596831C22semidirect
167. D4×#10596831C22semidirect
168. #17988644C22semidirect
169. #17988644C22semidirect
170. #17988640C22semidirect
171. #17988611C22semidirect
172. C2×C4⋊#10596831C22semidirect
173. C2×C4⋊#10596831C22semidirect
174. #17988596C22semidirect
176. #17988583C22semidirect
177. #17988583C22semidirect
178. C2×#14556515C22semidirect
886. #3514D73semidirect
917. C73#61992semidirect

Maximal subgroups

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

subgroupindex
#226235242
#226230152
#226229972
#226227672
#226226932
#226221022
#226220722
#226219972
#226219672
#226218332
#226217812
#226216682
#226216342
#226215172
#226215022
#226214672
#226214222
#226213272
#226212782
#226212572
#226209682
#226209182
#226208962
#226200982
#226200342
#226199432
#226194212
#226193802
C2×#179888062
#226190562
C73×#35142
#6199273