Finite Group Databasebeta

← #33978998

Subgroups — #33978998

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#22623880C211yesmaximal, characteristic, complemented
2#22623526C211yesmaximal, characteristic, complemented
3#22623020C211yesmaximal, characteristic, complemented
4#22622998C211yesmaximal, characteristic, complemented
5#22622778C211yesmaximal, characteristic, complemented
6#22622704C211yesmaximal, characteristic, complemented
7#22622100C211yesmaximal, characteristic, complemented
8#22622070C211yesmaximal, characteristic, complemented
9#22622002C211yesmaximal, characteristic, complemented
10#22621972C211yesmaximal, characteristic, complemented
11#22621831C211yesmaximal, characteristic, complemented
12#22621779C211yesmaximal, characteristic, complemented
13#22621665C211yesmaximal, characteristic, complemented
14#22621631C211yesmaximal, characteristic, complemented
15#22621518C211yesmaximal, characteristic, complemented
16#22621505C211yesmaximal, characteristic, complemented
17#22621473C211yesmaximal, characteristic, complemented
18#22621419C211yesmaximal, characteristic, complemented
19#22621334C211yesmaximal, characteristic, complemented
20#22621285C211yesmaximal, characteristic, complemented
21#22621257C211yesmaximal, characteristic, complemented
22#22620973C211yesmaximal, characteristic, complemented
23#22620920C211yesmaximal, characteristic, complemented
24#22620900C211yesmaximal, characteristic, complemented
25#22620047C211yesmaximal, characteristic, complemented
26#22619956C211yesmaximal, characteristic, complemented
27#22619422C211yesmaximal, characteristic, complemented
28#22619385C211yesmaximal, characteristic, complemented
29C2×#17988809C211yesmaximal, characteristic, complemented
30#22619058C211yesmaximal, characteristic, complemented
31C73×#3117C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic, complemented
33C2×#14556618C2211yescharacteristic
34C2×#14556614C2211yescharacteristic, complemented
35C2×#14556612C2211yescharacteristic, complemented
36C22×#11924018C2211yescharacteristic, complemented
37C22×#11924015C2211yescharacteristic
38#17989322—21no—
39#17989322C2211yescharacteristic, complemented
40#17989320C2211yescharacteristic
41#17989316C2211yescharacteristic, complemented
42#17989310—21no—
43#17989310C2211yescharacteristic, complemented
44#17989309C2211yescharacteristic
45#17989300—21no—
46#17989285—21no—
47#17989285—21no—
48#17989285C2211yescharacteristic
49#17989285C2211yescharacteristic, complemented
50#17989261—21no—
51#17989260—21no—
52#17989259C2211yescharacteristic, complemented
53#17989250C2211yescharacteristic
54#17989249C2211yescharacteristic
55#17989248C2211yescharacteristic
56#17989248C2211yescharacteristic, complemented
57#17989243C2211yescharacteristic
58#17989232C2211yescharacteristic
59#17989229—21no—
60#17989228C2211yescharacteristic
61#17989221C2211yescharacteristic
62#17989203—21no—
63#17989176—21no—
64#17989170—21no—
65#17989137—21no—
66#17989137C2211yescharacteristic, complemented
67#17989136C2211yescharacteristic
68#17989124—21no—
69#17989124—21no—
70#17989124C2211yescharacteristic, complemented
71#17989124C2211yescharacteristic, complemented
72#17989122C2211yescharacteristic
73#17989122C2211yescharacteristic
74C2×#14556579C2211yescharacteristic
75#124×D73C2211yescharacteristic
76#17989059—21no—
77C4×#11924029C2211yescharacteristic, complemented
78C4×#11924029C2211yescharacteristic, complemented
79C4×#11924028—21no—
80C4×#11924028C2211yescharacteristic
81#17988980C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic
83#17988976C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic
85#17988972C2211yescharacteristic
86#17988968C2211yescharacteristic, complemented
87#17988954C2211yescharacteristic, complemented
88#17988950C2211yescharacteristic
89#17988947C2211yescharacteristic
90#17988947C2211yescharacteristic, complemented
91#17988943C2211yescharacteristic
92#17988940C2211yescharacteristic, complemented
93#17988931C2211yescharacteristic, complemented
94#17988930C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic
96#17988913C2211yescharacteristic
97#17988897C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic
101#17988884C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988882C2211yescharacteristic, complemented
104#17988877C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988841C2211yescharacteristic
107#17988836C2211yescharacteristic
108#17988834C2211yescharacteristic, complemented
109#17988827C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic
111#17988821C2211yescharacteristic
112#17988821C2211yescharacteristic
113#17988819C2211yescharacteristic
114#17988818C2211yescharacteristic, complemented
115#17988818C2211yescharacteristic, complemented
116#17988817C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988812C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic
120#17988809C2211yescharacteristic
121#17988809C2211yescharacteristic
122#17988809C2211yescharacteristic
123#17988809C2211yescharacteristic
124#17988809C2211yescharacteristic, complemented
125#17988809C2211yescharacteristic, complemented
126#17988809C2211yescharacteristic, complemented
127#17988809C2211yescharacteristic, complemented
128#17988807C2211yescharacteristic, complemented
129#17988805C2211yescharacteristic
130#17988805C2211yescharacteristic
131#17988805C2211yescharacteristic, complemented
132#17988803C2211yescharacteristic
133#17988803C2211yescharacteristic
134#17988803C2211yescharacteristic, complemented
135#17988803C2211yescharacteristic, complemented
136#17988801C2211yescharacteristic, complemented
137#17988799C2211yescharacteristic, complemented
138#17988799C2211yescharacteristic, complemented
139#17988795C2211yescharacteristic, complemented
140#17988791C2211yescharacteristic, complemented
141#17988787C2211yescharacteristic, complemented
142#17988785C2211yescharacteristic
143#17988782C2211yescharacteristic, complemented
144#17988781C2211yescharacteristic
145#17988752C2211yescharacteristic, complemented
146#17988752C2211yescharacteristic, complemented
147#17988748C2211yescharacteristic, complemented
148#17988746C2211yescharacteristic, complemented
149#17988741C2211yescharacteristic, complemented
150#17988736C2211yescharacteristic
151#17988735C2211yescharacteristic
152#17988735C2211yescharacteristic
153#17988735C2211yescharacteristic, complemented
154#17988733C2211yescharacteristic, complemented
155#17988728C2211yescharacteristic, complemented
156#17988728C2211yescharacteristic, complemented
157#17988727C2211yescharacteristic, complemented
158#17988723C2211yescharacteristic
159#17988723C2211yescharacteristic
160#17988722C2211yescharacteristic
161#17988715C2211yescharacteristic, complemented
162#17988715C2211yescharacteristic, complemented
163#17988698C2211yescharacteristic
164#17988691C2211yescharacteristic, complemented
165#17988690C2211yescharacteristic
166#17988686C2211yescharacteristic, complemented
167#17988679C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic, complemented
170#17988669C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic
174#17988655C2211yescharacteristic
175#17988650C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988643C2211yescharacteristic, complemented
178#17988639C2211yescharacteristic, complemented
179#17988609C2211yescharacteristic, complemented
180C2×C4⋊#10596831C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic
184#17988582C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186C2×#14556514C2211yescharacteristic, complemented
187C2×#14556511C2211yescharacteristic
188#529×C73C2211yescharacteristic
189C2×C4×Q8×C73C2211yescharacteristic, complemented
190#484×C73C2211yescharacteristic, complemented
191#481×C73C2211yescharacteristic
192#479×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#451×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic
198#441×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028D411yescharacteristic
208C2×#11924027C2311yescharacteristic
209C22×Dic146C2311yescharacteristic
210C2×Q8×D73C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214#14556623—42no—
215#14556618—42no—
216#14556614—42no—
217#14556612—42no—
218C2×#11924018—42no—
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924015—42no—
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C22×#10596831C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556591—21no—
247#14556591C2311yescharacteristic
248#14556590—21no—
249#14556589C2311yescharacteristic
250#14556588—21no—
251#14556588C2311yescharacteristic
252#14556587C2311yescharacteristic
253#14556586—21no—
254#14556586—21no—
255#14556586—21no—
256#14556586—21no—
257#14556586—21no—
258#14556586—21no—
259#14556586—21no—
260#14556586—21no—
261#14556586—21no—
262#14556585—21no—
263#14556582—21no—
264#14556582—21no—
265#14556582C2311yescharacteristic
266#14556582C2311yescharacteristic
267#14556580—21no—
268#14556580—21no—
269#14556580C2311yescharacteristic
270#14556580C2311yescharacteristic
271#14556580C2311yescharacteristic
272#14556579—21no—
273#14556579—21no—
274#14556579—21no—
275#14556579—21no—
276#14556579—21no—
277#14556579—21no—
278#14556579C2311yescharacteristic
279#14556579C2311yescharacteristic
280#14556579C2311yescharacteristic
281#14556579C2311yescharacteristic
282#14556578C2311yescharacteristic
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556577—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556576—21no—
296#14556575—21no—
297#14556574—21no—
298#14556573—21no—
299#14556571—21no—
300#14556571C2311yescharacteristic
301#14556571C2311yescharacteristic
302#14556569—21no—
303#14556569—21no—
304#14556568—21no—
305#14556568—21no—
306#14556567—21no—
307#14556567—21no—
308#14556567C2311yescharacteristic
309#14556567C2311yescharacteristic
310#14556566—21no—
311#14556566—21no—
312#14556566—21no—
313#14556566—21no—
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556565—21no—
319#14556565—21no—
320#14556565—21no—
321#14556565—21no—
322#14556565—21no—
323#14556565—21no—
324#14556565C2311yescharacteristic
325#14556565C2311yescharacteristic
326#14556564—21no—
327#14556564—21no—
328#14556564—21no—
329#14556563—21no—
330#14556561—21no—
331#14556561—21no—
332#14556561—21no—
333#14556559—21no—
334Q8×Dic73C2311yescharacteristic
335Q8×Dic73C2311yescharacteristic
336C4×Dic146—21no—
337C4×Dic146—21no—
338C4×Dic146D411yescharacteristic
339C4×Dic146C2311yescharacteristic
340#14556556C2311yescharacteristic
341#14556556C2311yescharacteristic
342C4×D292—21no—
343C4×D292—21no—
344C4×D292—21no—
345C4×D292—21no—
346C4×D292—21no—
347C4×D292—21no—
348C4×D292—21no—
349C4×D292—21no—
350C4×D292D411yescharacteristic
351C4×D292C2311yescharacteristic
352C4×D292C2311yescharacteristic
353C4×D292C2311yescharacteristic
354D4×Dic73—21no—
355#14556553—21no—
356#14556553—21no—
357#14556553—21no—
358#14556553—21no—
359#14556553C2311yescharacteristic
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362#14556553C2311yescharacteristic
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73D411yescharacteristic
369C4×C22⋊D73D411yescharacteristic
370C4×C22⋊D73C2311yescharacteristic
371C4×C22⋊D73C2311yescharacteristic
372#14556551—21no—
373#14556551—21no—
374#14556551—21no—
375#14556550D411yescharacteristic
376#14556549—21no—
377#14556549—21no—
378#14556549—21no—
379#14556549—21no—
380#14556549C2311yescharacteristic
381#14556549C2311yescharacteristic
382#14556548—21no—
383#14556548—21no—
384#14556548—21no—
385#14556548D411yescharacteristic
386#14556548D411yescharacteristic
387C2×#11924005—21no—
388C2×#11924005—21no—
389C2×#11924005—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C42×D73—21no—
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396C42×D73C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C2×Q16×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446#126×C73—21no—
447#125×C73C2311yescharacteristic
448#124×C73C2311yescharacteristic
449#123×C73—21no—
450C22⋊Q8×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452C4×Q8×C73—21no—
453C4×Q8×C73—21no—
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461#117×C73—21no—
462C2×C4⋊C4×C73—21no—
463C2×C4⋊C4×C73C2311yescharacteristic
464C2×C42×C73—21no—
465C2×C42×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—22no—
487#11924029—22no—
488#11924029—41no—
489#11924029—41no—
490#11924029—41no—
491#11924029—41no—
492#11924028—42no—
493#11924028—44no—
494#11924027—41no—
495#11924027—41no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—41no—
500C2×Dic146—41no—
501C2×Dic146C2×D411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504Q8×D73—41no—
505Q8×D73—41no—
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—41no—
517C2×D292—41no—
518C2×D292C2×D411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73C2×D411yescharacteristic
530C2×C22⋊D73C2×D411yescharacteristic
531D4×D73—41no—
532D4×D73—41no—
533D4×D73—44no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2×D411yescharacteristic
550C2×C4×D73C2411yescharacteristic
551C2×C4×D73C2411yescharacteristic
552#11924018—22no—
553#11924018—22no—
554#11924018—41no—
555#11924018—41no—
556#11924017—41no—
557#11924017—41no—
558#11924017—41no—
559#11924017—41no—
560#11924015—22no—
561#11924015—22no—
562#11924015—41no—
563#11924015—41no—
564#11924015—41no—
565#11924015—41no—
566D584—41no—
567D584—41no—
568D584—41no—
569D584—41no—
570#11924013—41no—
571#11924013—41no—
572#11924011—41no—
573#11924011—41no—
574C2×#10596831—41no—
575C2×#10596831—41no—
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C2×#10596831C2411yescharacteristic
580C8×D73—41no—
581C8×D73—41no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73C2×D411yescharacteristic
590C4⋊Dic73C2×D411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
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#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C2×Q8×C73—21no—
658C2×Q8×C73—22no—
659C2×Q8×C73—41no—
660C2×Q8×C73C2411yescharacteristic
661C2×Q8×C73C2411yescharacteristic
662C2×Q8×C73C2411yescharacteristic
663C2×D4×C73—21no—
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73C2×D411yescharacteristic
669C22×C4×C73C2×D411yescharacteristic
670C22×C4×C73C2411yescharacteristic
671Q16×C73—22no—
672Q16×C73—41no—
673SD16×C73—22no—
674SD16×C73—41no—
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C42×C73—21no—
698C42×C73—21no—
699C42×C73—21no—
700C42×C73—21no—
701C42×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73C22×D411yescharacteristic
708C22×D73—21no—
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73C22×D411yescharacteristic
719C22×D73C22×D411yescharacteristic
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—42no—
726Q8×C73H(5,𝔽2)12yes—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—42no—
730C2×C4×C73—22no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—41no—
741C2×C4×C73—42no—
742C2×C4×C73—81no—
743C2×C4×C73—81no—
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C2511yescharacteristic
750C22⋊D73—22no—
751C22⋊D73—22no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—81no—
763C2×Dic73—81no—
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770D292—21no—
771D292—21no—
772D292—21no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—21no—
777D292—21no—
778D292—41no—
779D292—42no—
780D292—42no—
781D292—42no—
782D292—42no—
783D292—81no—
784D292—81no—
785D292—81no—
786D292—81no—
787D292—81no—
788D292—81no—
789C4×D73—21no—
790C4×D73—21no—
791C4×D73—21no—
792C4×D73—21no—
793C4×D73—41no—
794C4×D73—41no—
795C4×D73—41no—
796C4×D73—41no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—41no—
812Dic146—42no—
813Dic146—81no—
814Dic146—81no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73#57512yes—
829C22×C73C23×D411yescharacteristic
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—162no—
849C2×D73—162no—
850C4×C73—21no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—22no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73—41no—
862C4×C73C2×H(5,𝔽2)11yescharacteristic
863C4×C73#58511yescharacteristic
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—21no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874#61992—731nomaximal, Sylow
875C2×C73—22no—
876C2×C73—81no—
877C2×C73#348811yescharacteristic
878C2×C73C2×#57511yescharacteristic
879C2×C73#358411yescharacteristic
880D73—41no—
881D73—41no—
882D73—81no—
883D73—81no—
884D73—81no—
885D73—81no—
886#3514—731no—
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#3117D7311yescharacteristic, complemented
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—731no—
926#559—1461no—
927#557—731no—
928#556—731no—
929#556—731no—
930#556—1461no—
931#555—1461no—
932#553—731no—
933#553—731no—
934#553—1461no—
935#553—1461no—
936#551—1461no—
937#551—1461no—
938#550—731no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#548—731no—
943#548—731no—
944#546—731no—
945#546—731no—
946#546—1461no—
947D42—731no—
948#542—1461no—
949#538—1461no—
950#538—1461no—
951#532—731no—
952#532—731no—
953#532—1461no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—1461no—
959#529—1461no—
960#529C2×D7311yescharacteristic
961C2×#124—731no—
962C2×#124—731no—
963#518—1461no—
964C4×#41—731no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—1461no—
968C2×C4×Q8C2×D7311yescharacteristic, complemented
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#484C2×D7311yescharacteristic, complemented
984#482—731no—
985#482—731no—
986#481C2×D7311yescharacteristic
987#479—731no—
988#479—731no—
989#479C2×D7311yescharacteristic, complemented
990#479C2×D7311yescharacteristic, complemented
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#464C2×D7311yescharacteristic, complemented
1022#464C2×D7311yescharacteristic, complemented
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#451C2×D7311yescharacteristic, complemented
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#448C2×D7311yescharacteristic
1054#447—731no—
1055#447—731no—
1056#447—731no—
1057#446—731no—
1058#446—731no—
1059#442—731no—
1060#441—731no—
1061#441C2×D7311yescharacteristic, complemented
1062#441C2×D7311yescharacteristic, complemented
1063#440—731no—
1064#440—731no—
1065#440C2×D7311yescharacteristic, complemented
1066#440C2×D7311yescharacteristic, complemented
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#432C2×D7311yescharacteristic, complemented
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—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41—1461no—
1095C22×Q8—731no—
1096C22×Q8—731no—
1097C22×Q8C22×D7311yescharacteristic
1098C22×D4—731no—
1099C22×D4—731no—
1100C22×D4—1461no—
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×Q16C22×D7311yescharacteristic
1111C2×Q16C22×D7311yescharacteristic
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×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
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—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—1461no—
1140C4⋊Q8—1461no—
1141#127—731no—
1142#127—731no—
1143#127—1461no—
1144#126—21no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
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—731no—
1161#124—731no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—731no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124—1461no—
1175#124—1461no—
1176#124—1461no—
1177#124—1461no—
1178#124—1461no—
1179#124—1461no—
1180#124C22×D7311yescharacteristic
1181#123—21no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8C22×D7311yescharacteristic
1206#121—731no—
1207#121—731no—
1208#121—731no—
1209#121—731no—
1210#121—731no—
1211#121—731no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121C22×D7311yescharacteristic
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231C4×Q8—21no—
1232C4×Q8—21no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
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—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
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×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4C22×D7311yescharacteristic
1281#117—21no—
1282#117—731no—
1283#117—731no—
1284#117—731no—
1285#117—731no—
1286#117—731no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292#117—1461no—
1293#117—1461no—
1294C2×C4⋊C4—21no—
1295C2×C4⋊C4C22×D7311yescharacteristic
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C42—21no—
1303C2×C42—731no—
1304C2×C42—731no—
1305C2×C42—1461no—
1306C2×C42—1461no—
1307C2×C42C22×D7311yescharacteristic
1308#107—731no—
1309#107—731no—
1310#107C22×D7311yescharacteristic
1311#107C22×D7311yescharacteristic
1312#106—731no—
1313#106—731no—
1314#106C22×D7311yescharacteristic
1315#106C22×D7311yescharacteristic
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⋊C8C22×D7311yescharacteristic
1325C4⋊C8C22×D7311yescharacteristic
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#103C22×D7311yescharacteristic
1337#103C22×D7311yescharacteristic
1338#103C22×D7311yescharacteristic
1339#103C22×D7311yescharacteristic
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358C22⋊C8—731no—
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8C22×D7311yescharacteristic
1363C22⋊C8C22×D7311yescharacteristic
1364#97—731no—
1365#97—731no—
1366#97C22×D7311yescharacteristic
1367#97C22×D7311yescharacteristic
1368C4×C8—731no—
1369C4×C8—731no—
1370C24—1461no—
1371C24—1461no—
1372#41—2924no—
1373#41—2922no—
1374#41—2921no—
1375#41—2921no—
1376#41—2921no—
1377#41—2921no—
1378#41—2921no—
1379#41—2921no—
1380#41—1462no—
1381#41—1462no—
1382C2×Q8—21no—
1383C2×Q8—22no—
1384C2×Q8—41no—
1385C2×Q8—2921no—
1386C2×Q8—2921no—
1387C2×Q8—2921no—
1388C2×Q8—2921no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—731no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×Q8—1461no—
1395C2×Q8C23×D7311yescharacteristic
1396C2×Q8C23×D7311yescharacteristic
1397C2×Q8C23×D7311yescharacteristic
1398C2×D4—21no—
1399C2×D4—2921no—
1400C2×D4—2921no—
1401C2×D4—2924no—
1402C2×D4—2921no—
1403C2×D4—2921no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
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×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4C23×D7311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4D4×D7311yescharacteristic
1450C22×C4D4×D7311yescharacteristic
1451C22×C4C23×D7311yescharacteristic
1452Q16—22no—
1453Q16—41no—
1454Q16—2921no—
1455Q16—2921no—
1456Q16—1462no—
1457Q16—1462no—
1458SD16—22no—
1459SD16—41no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—2921no—
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×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C2×C8C23×D7311yescharacteristic
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—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—731no—
1504C4⋊C4—731no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
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⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4C23×D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—731no—
1532C22⋊C4—731no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
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⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C42—21no—
1572C42—21no—
1573C42—21no—
1574C42—21no—
1575C42—21no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42D4×D7311yescharacteristic
1589C42D4×D7311yescharacteristic
1590C42C23×D7311yescharacteristic
1591C42C23×D7311yescharacteristic
1592C23—21no—
1593C23—2922no—
1594C23—2922no—
1595C23—5841no—
1596C23—5841no—
1597C23—5841no—
1598C23—5841no—
1599C23—731no—
1600C23—731no—
1601C23—1461no—
1602C23—1461no—
1603C23—1461no—
1604C23—1461no—
1605C23C2×D4×D7311yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—42no—
1612Q8—2922no—
1613Q8—2921no—
1614Q8—5841no—
1615Q8—5841no—
1616Q8—1461no—
1617Q8—1461no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8#1455663712yes—
1621D4—21no—
1622D4—21no—
1623D4—42no—
1624D4—2922no—
1625D4—2922no—
1626D4—2922no—
1627D4—2921no—
1628D4—2922no—
1629D4—2922no—
1630D4—2922no—
1631D4—2922no—
1632D4—5841no—
1633D4—5841no—
1634D4—5841no—
1635D4—5841no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—1462no—
1642D4—1462no—
1643D4—1461no—
1644D4—1461no—
1645D4—1461no—
1646D4—1461no—
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—41no—
1662C2×C4—42no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—2922no—
1666C2×C4—2922no—
1667C2×C4—2922no—
1668C2×C4—2922no—
1669C2×C4—2921no—
1670C2×C4—2921no—
1671C2×C4—2921no—
1672C2×C4—2921no—
1673C2×C4—2922no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—5841no—
1680C2×C4—5841no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—731no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4C2×D4×D7311yescharacteristic
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C24×D7311yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—1461no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C22—21no—
1710C22—21no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—2921no—
1715C22—2921no—
1716C22—2921no—
1717C22—2921no—
1718C22—2921no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—11682no—
1727C22—11682no—
1728C22—1461no—
1729C22—1461no—
1730C22—1461no—
1731C22—1461no—
1732C22—1461no—
1733C22—1461no—
1734C22#1798938612yes—
1735C22C22×D4×D7311yescharacteristic
1736C4—21no—
1737C4—22no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—2921no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—1461no—
1753C4—1461no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4C2×#1455663711yescharacteristic
1759C4#1798942311yescharacteristic
1760C2—22no—
1761C2—81no—
1762C2—2921no—
1763C2—2921no—
1764C2—5841no—
1765C2—5841no—
1766C2—5841no—
1767C2—5841no—
1768C2#2262359211yescharacteristic
1769C2C2×#1798938611yescharacteristic
1770C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3117C2
socleC22×C73C23×D4
hypercenter#3117D73
hypocenterC73#61992
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3117

Complements

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

NH ≅ G/Ntype
1. #22623880C2semidirect
2. #22623526C2semidirect
3. #22623020C2semidirect
4. #22622998C2semidirect
5. #22622778C2semidirect
6. #22622704C2semidirect
7. #22622100C2semidirect
8. #22622070C2semidirect
9. #22622002C2semidirect
10. #22621972C2semidirect
11. #22621831C2semidirect
12. #22621779C2semidirect
13. #22621665C2semidirect
14. #22621631C2semidirect
15. #22621518C2semidirect
16. #22621505C2semidirect
17. #22621473C2semidirect
18. #22621419C2semidirect
19. #22621334C2semidirect
20. #22621285C2semidirect
21. #22621257C2semidirect
22. #22620973C2semidirect
23. #22620920C2semidirect
24. #22620900C2semidirect
25. #22620047C2semidirect
26. #22619956C2semidirect
27. #22619422C2semidirect
28. #22619385C2semidirect
29. C2×#17988809C2semidirect
30. #22619058C2semidirect
31. C73×#3117C2semidirect
32. C2×#14556623C22semidirect
34. C2×#14556614C22semidirect
35. C2×#14556612C22semidirect
36. C22×#11924018C22semidirect
39. #17989322C22semidirect
41. #17989316C22semidirect
43. #17989310C22semidirect
49. #17989285C22semidirect
52. #17989259C22semidirect
56. #17989248C22semidirect
66. #17989137C22semidirect
70. #17989124C22semidirect
71. #17989124C22semidirect
77. C4×#11924029C22semidirect
78. C4×#11924029C22semidirect
81. #17988980C22semidirect
83. #17988976C22semidirect
86. #17988968C22semidirect
87. #17988954C22semidirect
90. #17988947C22semidirect
92. #17988940C22semidirect
93. #17988931C22semidirect
94. #17988930C22semidirect
97. #17988897C22semidirect
98. #17988893C22semidirect
99. #17988890C22semidirect
101. #17988884C22semidirect
102. #17988884C22semidirect
103. #17988882C22semidirect
104. #17988877C22semidirect
105. #17988844C22semidirect
108. #17988834C22semidirect
109. #17988827C22semidirect
114. #17988818C22semidirect
115. #17988818C22semidirect
116. #17988817C22semidirect
117. #17988812C22semidirect
118. #17988812C22semidirect
124. #17988809C22semidirect
125. #17988809C22semidirect
126. #17988809C22semidirect
127. #17988809C22semidirect
128. #17988807C22semidirect
131. #17988805C22semidirect
134. #17988803C22semidirect
135. #17988803C22semidirect
136. #17988801C22semidirect
137. #17988799C22semidirect
138. #17988799C22semidirect
139. #17988795C22semidirect
140. #17988791C22semidirect
141. #17988787C22semidirect
143. #17988782C22semidirect
145. #17988752C22semidirect
146. #17988752C22semidirect
147. #17988748C22semidirect
148. #17988746C22semidirect
149. #17988741C22semidirect
153. #17988735C22semidirect
154. #17988733C22semidirect
155. #17988728C22semidirect
156. #17988728C22semidirect
157. #17988727C22semidirect
161. #17988715C22semidirect
162. #17988715C22semidirect
164. #17988691C22semidirect
166. #17988686C22semidirect
167. #17988679C22semidirect
168. #17988674C22semidirect
169. #17988672C22semidirect
170. #17988669C22semidirect
171. #17988660C22semidirect
172. #17988660C22semidirect
175. #17988650C22semidirect
176. #17988650C22semidirect
177. #17988643C22semidirect
178. #17988639C22semidirect
179. #17988609C22semidirect
180. C2×C4⋊#10596831C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988594C22semidirect
184. #17988582C22semidirect
185. #17988580C22semidirect
186. C2×#14556514C22semidirect
189. C2×C4×Q8×C73C22semidirect
190. #484×C73C22semidirect
192. #479×C73C22semidirect
193. #479×C73C22semidirect
194. #464×C73C22semidirect
195. #464×C73C22semidirect
196. #451×C73C22semidirect
198. #441×C73C22semidirect
199. #441×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
910. #3117D73semidirect
917. C73#61992semidirect
968. C2×C4×Q8C2×D73semidirect
983. #484C2×D73semidirect
989. #479C2×D73semidirect
990. #479C2×D73semidirect
1021. #464C2×D73semidirect
1022. #464C2×D73semidirect
1044. #451C2×D73semidirect
1061. #441C2×D73semidirect
1062. #441C2×D73semidirect
1065. #440C2×D73semidirect
1066. #440C2×D73semidirect
1078. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238802
#226235262
#226230202
#226229982
#226227782
#226227042
#226221002
#226220702
#226220022
#226219722
#226218312
#226217792
#226216652
#226216312
#226215182
#226215052
#226214732
#226214192
#226213342
#226212852
#226212572
#226209732
#226209202
#226209002
#226200472
#226199562
#226194222
#226193852
C2×#179888092
#226190582
C73×#31172
#6199273