Finite Group Databasebeta

← #33978946

Subgroups — #33978946

Order 18688.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623894C211yesmaximal, characteristic, complemented
2#22623493C211yesmaximal, characteristic, complemented
3#22623011C211yesmaximal, characteristic, complemented
4#22622998C211yesmaximal, characteristic, complemented
5#22622759C211yesmaximal, characteristic, complemented
6#22622685C211yesmaximal, characteristic, complemented
7#22622115C211yesmaximal, characteristic, complemented
8#22622085C211yesmaximal, characteristic, complemented
9#22621987C211yesmaximal, characteristic, complemented
10#22621957C211yesmaximal, characteristic, complemented
11#22621821C211yesmaximal, characteristic, complemented
12#22621769C211yesmaximal, characteristic, complemented
13#22621636C211yesmaximal, characteristic, complemented
14#22621614C211yesmaximal, characteristic, complemented
15#22621490C211yesmaximal, characteristic, complemented
16#22621449C211yesmaximal, characteristic, complemented
17#22621443C211yesmaximal, characteristic, complemented
18#22621413C211yesmaximal, characteristic, complemented
19#22621334C211yesmaximal, characteristic, complemented
20#22621278C211yesmaximal, characteristic, complemented
21#22621267C211yesmaximal, characteristic, complemented
22#22620970C211yesmaximal, characteristic, complemented
23#22620932C211yesmaximal, characteristic, complemented
24#22620900C211yesmaximal, characteristic, complemented
25#22620074C211yesmaximal, characteristic, complemented
26#22619954C211yesmaximal, characteristic, complemented
27#22619420C211yesmaximal, characteristic, complemented
28#22619386C211yesmaximal, characteristic, complemented
29#463×D73C211yesmaximal, characteristic, complemented
30#22619058C211yesmaximal, characteristic, complemented
31C73×#3111C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic
34C2×#14556611C2211yescharacteristic, complemented
35C2×#14556611C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic
38#17989322C2211yescharacteristic, complemented
39#17989309C2211yescharacteristic, complemented
40#17989307C2211yescharacteristic, complemented
41#17989302—21no—
42#17989300C2211yescharacteristic, complemented
43#17989296C2211yescharacteristic, complemented
44#17989286—21no—
45#17989278C2211yescharacteristic
46#17989276C2211yescharacteristic, complemented
47#17989270—21no—
48#17989266—21no—
49#17989262—21no—
50#17989262—21no—
51#17989261—21no—
52Q8×D292C2211yescharacteristic
53#17989247C2211yescharacteristic
54#17989247C2211yescharacteristic, complemented
55#17989236C2211yescharacteristic, complemented
56#17989234C2211yescharacteristic
57#17989234C2211yescharacteristic, complemented
58#17989233—21no—
59#17989232C2211yescharacteristic
60#17989225C2211yescharacteristic, complemented
61D4×D292C2211yescharacteristic
62#17989208—21no—
63#17989173—21no—
64#17989173—21no—
65#17989141C2211yescharacteristic, complemented
66#17989137C2211yescharacteristic, complemented
67#17989124C2211yescharacteristic, complemented
68#17989122C2211yescharacteristic
69#17989122C2211yescharacteristic, complemented
70#17989121—21no—
71#17989121C2211yescharacteristic, complemented
72#17989117—21no—
73#124×D73C2211yescharacteristic
74#124×D73C2211yescharacteristic, complemented
75#17989096—21no—
76#17989061—21no—
77C4×#11924028C2211yescharacteristic
78C4×#11924027C2211yescharacteristic, complemented
79C4×D4×D73C2211yescharacteristic, complemented
80C2×#14556548—21no—
81#17988981C2211yescharacteristic, complemented
82#17988980C2211yescharacteristic, complemented
83#17988978C2211yescharacteristic, complemented
84#17988976C2211yescharacteristic
85#17988972C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic
87#17988956C2211yescharacteristic, complemented
88#17988952C2211yescharacteristic, complemented
89#17988948C2211yescharacteristic, complemented
90#17988945C2211yescharacteristic, complemented
91#17988943C2211yescharacteristic, complemented
92#17988940C2211yescharacteristic, complemented
93#17988931C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic
97#17988897C2211yescharacteristic, complemented
98#17988894C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988887C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988841C2211yescharacteristic
107#17988836C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988829C2211yescharacteristic, complemented
110#17988827C2211yescharacteristic, complemented
111#17988826C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic
113#17988819C2211yescharacteristic
114#17988818C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic
116#17988814C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988812C2211yescharacteristic, complemented
119#17988810C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988809C2211yescharacteristic, complemented
122#17988809C2211yescharacteristic, complemented
123#17988809C2211yescharacteristic, complemented
124#17988808C2211yescharacteristic, complemented
125#17988806C2211yescharacteristic, complemented
126#17988805C2211yescharacteristic, complemented
127#17988805C2211yescharacteristic, complemented
128#17988804C2211yescharacteristic, complemented
129#17988804C2211yescharacteristic, complemented
130#17988803C2211yescharacteristic, complemented
131#17988803C2211yescharacteristic, complemented
132#17988802C2211yescharacteristic
133#17988802C2211yescharacteristic, complemented
134#17988802C2211yescharacteristic, complemented
135#17988801C2211yescharacteristic
136#17988800C2211yescharacteristic
137#17988800C2211yescharacteristic
138#17988799C2211yescharacteristic
139#17988797C2211yescharacteristic, complemented
140#17988796C2211yescharacteristic, complemented
141#17988792C2211yescharacteristic, complemented
142#17988791C2211yescharacteristic, complemented
143#17988787C2211yescharacteristic, complemented
144#17988782C2211yescharacteristic
145#17988751C2211yescharacteristic, complemented
146#17988751C2211yescharacteristic, complemented
147#17988750C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic, complemented
149#17988741C2211yescharacteristic, complemented
150#17988741C2211yescharacteristic, complemented
151#17988739C2211yescharacteristic
152#17988739C2211yescharacteristic, complemented
153#17988736C2211yescharacteristic
154#17988736C2211yescharacteristic, complemented
155#17988734C2211yescharacteristic, complemented
156#17988734C2211yescharacteristic, complemented
157#17988733C2211yescharacteristic
158#17988727C2211yescharacteristic, complemented
159#17988722C2211yescharacteristic
160#17988722C2211yescharacteristic
161#17988715C2211yescharacteristic, complemented
162#17988715C2211yescharacteristic, complemented
163#17988698C2211yescharacteristic, complemented
164#17988696C2211yescharacteristic, complemented
165#17988686C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988681C2211yescharacteristic, complemented
168#17988678C2211yescharacteristic, complemented
169#17988674C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic
172#17988660C2211yescharacteristic
173#17988655C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
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, complemented
184#17988581C2211yescharacteristic, complemented
185#17988581C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic
188#529×C73C2211yescharacteristic, complemented
189C4×#41×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#479×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic
196#452×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924028D411yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C22×D292—21no—
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214#14556620—42no—
215#14556615—42no—
216#14556611—42no—
217#14556611—42no—
218C2×Dic292C2311yescharacteristic
219C2×Dic292C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233SD16×D73—42no—
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239D8×D73—42no—
240C2×#11924011C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C22×#10596831C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556591—21no—
247#14556591C2311yescharacteristic
248#14556590C2311yescharacteristic
249#14556589C2311yescharacteristic
250#14556588C2311yescharacteristic
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556586—21no—
255#14556585—21no—
256#14556585—21no—
257#14556585—21no—
258#14556584—21no—
259#14556584—21no—
260#14556584—21no—
261#14556583—21no—
262#14556583C2311yescharacteristic
263#14556582C2311yescharacteristic
264#14556581—21no—
265#14556581—21no—
266#14556580C2311yescharacteristic
267#14556580C2311yescharacteristic
268#14556580C2311yescharacteristic
269#14556579—21no—
270#14556579—21no—
271#14556579C2311yescharacteristic
272#14556579C2311yescharacteristic
273#14556579C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556575—21no—
290#14556574—21no—
291#14556574—21no—
292#14556574—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556572—21no—
297#14556571—21no—
298#14556571—21no—
299#14556571C2311yescharacteristic
300#14556571C2311yescharacteristic
301#14556571C2311yescharacteristic
302#14556570—21no—
303#14556570—21no—
304#14556570C2311yescharacteristic
305#14556569—21no—
306#14556569—21no—
307#14556569—21no—
308#14556569—21no—
309#14556568—21no—
310#14556568—21no—
311#14556567C2311yescharacteristic
312#14556567C2311yescharacteristic
313#14556566C2311yescharacteristic
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556565—21no—
317#14556565—21no—
318#14556565—21no—
319#14556565—21no—
320#14556565C2311yescharacteristic
321#14556564—21no—
322#14556564—21no—
323#14556564—21no—
324#14556563—21no—
325#14556563—21no—
326#14556562—21no—
327#14556562—21no—
328#14556561—21no—
329#14556561—21no—
330#14556561—21no—
331#14556559—21no—
332#14556559—21no—
333#14556559—21no—
334C4×Dic146—21no—
335C4×Dic146D411yescharacteristic
336C4×Dic146C2311yescharacteristic
337C4×Dic146C2311yescharacteristic
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340#14556556C2311yescharacteristic
341C4×D292—21no—
342C4×D292—21no—
343C4×D292—21no—
344C4×D292—21no—
345C4×D292—21no—
346C4×D292D411yescharacteristic
347C4×D292C2311yescharacteristic
348C4×D292C2311yescharacteristic
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351#14556553—21no—
352#14556553—21no—
353#14556553—21no—
354#14556553—21no—
355#14556553C2311yescharacteristic
356#14556553C2311yescharacteristic
357#14556553C2311yescharacteristic
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73D411yescharacteristic
362C4×C22⋊D73D411yescharacteristic
363C4×C22⋊D73C2311yescharacteristic
364C4×C22⋊D73C2311yescharacteristic
365#14556551—21no—
366#14556551—21no—
367#14556550—21no—
368#14556550D411yescharacteristic
369#14556549—21no—
370#14556549—21no—
371#14556549C2311yescharacteristic
372#14556548—21no—
373#14556548—21no—
374#14556548—21no—
375#14556548—21no—
376#14556548—21no—
377#14556548—21no—
378#14556548—21no—
379#14556548D411yescharacteristic
380#14556548D411yescharacteristic
381#14556547—21no—
382C2×#11924007—21no—
383C2×#11924007—21no—
384C4⋊C4×D73C2311yescharacteristic
385C2×#11924005—21no—
386C2×#11924005—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C2×C4×Dic73—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#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
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
441C2×#41×C73C2311yescharacteristic
442C2×Q16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446#126×C73—21no—
447#125×C73C2311yescharacteristic
448#124×C73C2311yescharacteristic
449#123×C73—21no—
450C22⋊Q8×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73—21no—
462#117×C73—21no—
463#117×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#102×C73C2311yescharacteristic
477#102×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—
486C23×D73—21no—
487#11924028—41no—
488#11924028—41no—
489#11924028—41no—
490#11924028—41no—
491#11924028—42no—
492#11924027—22no—
493#11924027—41no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501Q8×D73—41no—
502Q8×D73—41no—
503Q8×D73—41no—
504Q8×D73—41no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—44no—
511C2×D292C2×D411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73C2×D411yescharacteristic
523C2×C22⋊D73C2×D411yescharacteristic
524D4×D73—22no—
525D4×D73—41no—
526D4×D73—41no—
527D4×D73—41no—
528D4×D73—41no—
529D4×D73—41no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—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—44no—
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549Dic292—41no—
550Dic292—41no—
551#11924018—41no—
552#11924018—41no—
553#11924018—41no—
554#11924017—41no—
555#11924017—41no—
556#11924017—41no—
557#11924017—41no—
558#11924016—22no—
559#11924016—22no—
560#11924016—41no—
561#11924015—41no—
562#11924015—41no—
563#11924015—41no—
564D584—41no—
565D584—41no—
566#11924013—22no—
567#11924013—22no—
568#11924013—41no—
569#11924011—41no—
570#11924011—41no—
571C2×#10596831—41no—
572C2×#10596831—41no—
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C8×D73—41no—
578C8×D73—41no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2×D411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
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#11924007—21no—
602#11924007—21no—
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73C2×D411yescharacteristic
615C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
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
657#41×C73—22no—
658#41×C73—41no—
659C2×Q8×C73C2411yescharacteristic
660C2×Q8×C73C2411yescharacteristic
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73C2×D411yescharacteristic
670C22×C4×C73C2×D411yescharacteristic
671C22×C4×C73C2411yescharacteristic
672Q16×C73—41no—
673SD16×C73—22no—
674SD16×C73—41no—
675D8×C73—22no—
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
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×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×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×C73—21no—
708C23×C73C22×D411yescharacteristic
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73C22×D411yescharacteristic
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—42no—
731D4×C73—81no—
732D4×C73H(5,𝔽2)12yes—
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—21no—
741C2×C4×C73—41no—
742C2×C4×C73—41no—
743C2×C4×C73—42no—
744C2×C4×C73—42no—
745C2×C4×C73—42no—
746C2×C4×C73—81no—
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C2511yescharacteristic
753C22⋊D73—22no—
754C22⋊D73—41no—
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—42no—
768C2×Dic73—42no—
769C2×Dic73—81no—
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776D292—22no—
777D292—21no—
778D292—21no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—42no—
784D292—42no—
785D292—42no—
786D292—81no—
787D292—81no—
788C4×D73—22no—
789C4×D73—21no—
790C4×D73—21no—
791C4×D73—21no—
792C4×D73—21no—
793C4×D73—41no—
794C4×D73—41no—
795C4×D73—41no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805Dic146—21no—
806Dic146—21no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—41no—
812Dic146—81no—
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—22no—
825C22×C73—21no—
826C22×C73—21no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73C23×D411yescharacteristic
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—21no—
837C2×D73—21no—
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—84no—
848C2×D73—162no—
849C2×D73—162no—
850C2×D73#57512yes—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
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—
874Dic73—41no—
875#61990—731nomaximal, Sylow
876C2×C73—42no—
877C2×C73—41no—
878C2×C73—81no—
879C2×C73#348811yescharacteristic
880C2×C73C2×#57511yescharacteristic
881C2×C73#358411yescharacteristic
882D73—22no—
883D73—41no—
884D73—81no—
885D73—81no—
886D73—81no—
887#3514—731no—
888#3475—731no—
889#3402—731no—
890#3401—731no—
891#3376—731no—
892#3370—731no—
893#3321—731no—
894#3319—731no—
895#3312—731no—
896#3310—731no—
897#3300—731no—
898#3296—731no—
899#3282—731no—
900#3280—731no—
901#3269—731no—
902#3267—731no—
903#3266—731no—
904#3264—731no—
905#3256—731no—
906#3250—731no—
907#3248—731no—
908#3219—731no—
909#3215—731no—
910#3211—731no—
911#3114—731no—
912#3111D7311yescharacteristic, complemented
913#3102—731no—
914#3040—731no—
915#3035—731no—
916C2×#463—731no—
917#2990—731no—
918C73#6199011yescharacteristic, complemented, Sylow
919C2×#137—731no—
920C2×AGL(1,ℤ/8)—731no—
921C2×#135—731no—
922C2×#135—731no—
923C22×SD16—731no—
924C22×D8—731no—
925#559—731no—
926#556—731no—
927#556—731no—
928#555—731no—
929#555—1461no—
930#554—731no—
931#553—1461no—
932#552—731no—
933#552—731no—
934#552—1461no—
935#551—1461no—
936#551—1461no—
937#551—1461no—
938#551—1461no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#547—731no—
943#546—731no—
944#546—731no—
945#546—731no—
946#546—731no—
947#546—1461no—
948D42—731no—
949#542—1461no—
950#538—1461no—
951#538—1461no—
952#533—731no—
953#532—731no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—1461no—
959#529—1461no—
960#529C2×D7311yescharacteristic, complemented
961C2×#124—731no—
962C2×#124—731no—
963#525—1461no—
964#518—1461no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41C2×D7311yescharacteristic, complemented
968C2×C4×D4—731no—
969C2×#117—1461no—
970#497—731no—
971#497—731no—
972#497—731no—
973#496—731no—
974#495—731no—
975#495—731no—
976#491—731no—
977#490—731no—
978#489—731no—
979#489—731no—
980#488—731no—
981#488—731no—
982#485—731no—
983#485C2×D7311yescharacteristic, complemented
984#483—731no—
985#482—731no—
986#482C2×D7311yescharacteristic, complemented
987#480—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#479C2×D7311yescharacteristic, complemented
992#478—731no—
993#478—731no—
994#478—731no—
995#478C2×D7311yescharacteristic, complemented
996#475—731no—
997#474—731no—
998#470—731no—
999#469—731no—
1000#468—731no—
1001#468—731no—
1002#467—731no—
1003#467—731no—
1004#467—731no—
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#465—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#464C2×D7311yescharacteristic, complemented
1020#463—731no—
1021#463—731no—
1022#463—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#463C2×D7311yescharacteristic
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#460—731no—
1039#459—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#452C2×D7311yescharacteristic, complemented
1044#451—731no—
1045#451—731no—
1046#451—731no—
1047#450—731no—
1048#450—731no—
1049#450—731no—
1050#450—731no—
1051#449—731no—
1052#449—731no—
1053#449—731no—
1054#449C2×D7311yescharacteristic
1055#448—731no—
1056#447—731no—
1057#447—731no—
1058#446—731no—
1059#446—731no—
1060#442—731no—
1061#442—731no—
1062#442C2×D7311yescharacteristic
1063#441C2×D7311yescharacteristic, complemented
1064#440—731no—
1065#440—731no—
1066#440C2×D7311yescharacteristic, complemented
1067#440C2×D7311yescharacteristic, complemented
1068C4×Q16—731no—
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076C8×D4—731no—
1077C8×D4—731no—
1078#432—731no—
1079#432C2×D7311yescharacteristic, complemented
1080#431—731no—
1081#423—731no—
1082C2×C4⋊C8—731no—
1083C2×C4⋊C8—731no—
1084#419—731no—
1085#418—731no—
1086#416—731no—
1087#416—731no—
1088C2×#103—731no—
1089C2×#102—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41C22×D7311yescharacteristic
1095C22×Q8—731no—
1096C22×Q8—731no—
1097C22×D4—731no—
1098C22×D4—731no—
1099C22×D4—731no—
1100C22×D4—1461no—
1101C23×C4—1461no—
1102#137—2922no—
1103AGL(1,ℤ/8)—2922no—
1104#135—2922no—
1105#135—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16—731no—
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—2922no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8—731no—
1131C2×D8C22×D7311yescharacteristic
1132C2×M16—731no—
1133C2×M16—731no—
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8—731no—
1137C22×C8—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—731no—
1141C4⋊Q8—1461no—
1142#127—731no—
1143#126—21no—
1144#126—1461no—
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#125—731no—
1155#125—731no—
1156#125—1461no—
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#124C22×D7311yescharacteristic
1178#123—21no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
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—
1193C22⋊Q8—731no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—731no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8C22×D7311yescharacteristic
1210#121—731no—
1211#121—731no—
1212#121—731no—
1213#121—731no—
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#121C22×D7311yescharacteristic
1226#120—1461no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231#120—1461no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—1461no—
1239C4×Q8C22×D7311yescharacteristic
1240C4×Q8C22×D7311yescharacteristic
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—731no—
1246C4×D4—731no—
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—1461no—
1258C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1272C4×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274#117—21no—
1275#117—21no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—731no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117C22×D7311yescharacteristic
1292C2×C4⋊C4—731no—
1293C2×C4⋊C4—1461no—
1294C2×C4⋊C4—1461no—
1295C2×C22⋊C4—1461no—
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×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—21no—
1305C2×C42—731no—
1306C2×C42—731no—
1307C2×C42—1461no—
1308C2×C42C22×D7311yescharacteristic
1309#107—731no—
1310#107—731no—
1311#107C22×D7311yescharacteristic
1312#107C22×D7311yescharacteristic
1313#106—731no—
1314#106—731no—
1315#106C22×D7311yescharacteristic
1316#106C22×D7311yescharacteristic
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⋊C8C22×D7311yescharacteristic
1326C4⋊C8C22×D7311yescharacteristic
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#103C22×D7311yescharacteristic
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8C22×D7311yescharacteristic
1364C22⋊C8C22×D7311yescharacteristic
1365#97—731no—
1366#97—731no—
1367#97C22×D7311yescharacteristic
1368#97C22×D7311yescharacteristic
1369C4×C8—731no—
1370C4×C8—731no—
1371C24—1461no—
1372C24—1461no—
1373C24—1461no—
1374#41—22no—
1375#41—41no—
1376#41—2921no—
1377#41—2921no—
1378#41—2921no—
1379#41—2921no—
1380#41—2922no—
1381#41—2921no—
1382#41—1462no—
1383C2×Q8—2921no—
1384C2×Q8—2921no—
1385C2×Q8—2921no—
1386C2×Q8—2921no—
1387C2×Q8—731no—
1388C2×Q8—731no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—1461no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×Q8C23×D7311yescharacteristic
1395C2×Q8C23×D7311yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—2924no—
1399C2×D4—2921no—
1400C2×D4—2921no—
1401C2×D4—2921no—
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—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1462no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4C23×D7311yescharacteristic
1424C2×D4C23×D7311yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—2924no—
1430C22×C4—731no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—1461no—
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×C4D4×D7311yescharacteristic
1449C22×C4D4×D7311yescharacteristic
1450C22×C4C23×D7311yescharacteristic
1451Q16—41no—
1452Q16—2921no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—2921no—
1456Q16—2921no—
1457SD16—22no—
1458SD16—41no—
1459SD16—2921no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—1462no—
1468SD16—1462no—
1469D8—22no—
1470D8—2921no—
1471D8—2921no—
1472D8—2921no—
1473D8—1462no—
1474D8—1462no—
1475M16—2921no—
1476M16—2921no—
1477C2×C8—2921no—
1478C2×C8—2921no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—1461no—
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⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
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—731no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—731no—
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—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42D4×D7311yescharacteristic
1590C42D4×D7311yescharacteristic
1591C42C23×D7311yescharacteristic
1592C42C23×D7311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—2922no—
1596C23—2922no—
1597C23—2922no—
1598C23—2922no—
1599C23—5841no—
1600C23—5841no—
1601C23—5841no—
1602C23—5841no—
1603C23—5841no—
1604C23—731no—
1605C23—731no—
1606C23—1461no—
1607C23—1461no—
1608C23—1461no—
1609C23C2×D4×D7311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—2921no—
1615Q8—5841no—
1616Q8—5841no—
1617Q8—5841no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—42no—
1628D4—81no—
1629D4—2922no—
1630D4—2922no—
1631D4—2922no—
1632D4—2922no—
1633D4—2922no—
1634D4—2921no—
1635D4—5841no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—1462no—
1643D4—1462no—
1644D4—1461no—
1645D4—1461no—
1646D4—1461no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4#1455663712yes—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—42no—
1662C2×C4—42no—
1663C2×C4—42no—
1664C2×C4—81no—
1665C2×C4—2922no—
1666C2×C4—2921no—
1667C2×C4—2921no—
1668C2×C4—2921no—
1669C2×C4—2922no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—2922no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—5841no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—1462no—
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×C4—1461no—
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C2×D4×D7311yescharacteristic
1701C2×C4C24×D7311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C8—1461no—
1710C22—21no—
1711C22—22no—
1712C22—21no—
1713C22—21no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—5844no—
1729C22—732no—
1730C22—11682no—
1731C22—11682no—
1732C22—1461no—
1733C22—1461no—
1734C22—1461no—
1735C22—1461no—
1736C22—1461no—
1737C22C22×D4×D7311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—2921no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4C2×#1455663711yescharacteristic
1761C4#1798942311yescharacteristic
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—2921no—
1766C2—5841no—
1767C2—5841no—
1768C2—5841no—
1769C2—1462no—
1770C2#2262359211yescharacteristic
1771C2#575×D7311yescharacteristic
1772C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3111C2
socleC22×C73C23×D4
hypercenter#3111D73
hypocenterC73#61990
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #22623894C2semidirect
2. #22623493C2semidirect
3. #22623011C2semidirect
4. #22622998C2semidirect
5. #22622759C2semidirect
6. #22622685C2semidirect
7. #22622115C2semidirect
8. #22622085C2semidirect
9. #22621987C2semidirect
10. #22621957C2semidirect
11. #22621821C2semidirect
12. #22621769C2semidirect
13. #22621636C2semidirect
14. #22621614C2semidirect
15. #22621490C2semidirect
16. #22621449C2semidirect
17. #22621443C2semidirect
18. #22621413C2semidirect
19. #22621334C2semidirect
20. #22621278C2semidirect
21. #22621267C2semidirect
22. #22620970C2semidirect
23. #22620932C2semidirect
24. #22620900C2semidirect
25. #22620074C2semidirect
26. #22619954C2semidirect
27. #22619420C2semidirect
28. #22619386C2semidirect
29. #463×D73C2semidirect
30. #22619058C2semidirect
31. C73×#3111C2semidirect
32. C2×#14556620C22semidirect
34. C2×#14556611C22semidirect
35. C2×#14556611C22semidirect
36. C2×SD16×D73C22semidirect
38. #17989322C22semidirect
39. #17989309C22semidirect
40. #17989307C22semidirect
42. #17989300C22semidirect
43. #17989296C22semidirect
46. #17989276C22semidirect
54. #17989247C22semidirect
55. #17989236C22semidirect
57. #17989234C22semidirect
60. #17989225C22semidirect
65. #17989141C22semidirect
66. #17989137C22semidirect
67. #17989124C22semidirect
69. #17989122C22semidirect
71. #17989121C22semidirect
74. #124×D73C22semidirect
78. C4×#11924027C22semidirect
79. C4×D4×D73C22semidirect
81. #17988981C22semidirect
82. #17988980C22semidirect
83. #17988978C22semidirect
85. #17988972C22semidirect
87. #17988956C22semidirect
88. #17988952C22semidirect
89. #17988948C22semidirect
90. #17988945C22semidirect
91. #17988943C22semidirect
92. #17988940C22semidirect
93. #17988931C22semidirect
94. #17988919C22semidirect
95. #17988914C22semidirect
97. #17988897C22semidirect
98. #17988894C22semidirect
99. #17988891C22semidirect
100. #17988890C22semidirect
101. #17988887C22semidirect
102. #17988884C22semidirect
103. #17988871C22semidirect
104. #17988866C22semidirect
105. #17988844C22semidirect
107. #17988836C22semidirect
108. #17988834C22semidirect
109. #17988829C22semidirect
110. #17988827C22semidirect
111. #17988826C22semidirect
114. #17988818C22semidirect
116. #17988814C22semidirect
117. #17988812C22semidirect
118. #17988812C22semidirect
119. #17988810C22semidirect
120. #17988810C22semidirect
121. #17988809C22semidirect
122. #17988809C22semidirect
123. #17988809C22semidirect
124. #17988808C22semidirect
125. #17988806C22semidirect
126. #17988805C22semidirect
127. #17988805C22semidirect
128. #17988804C22semidirect
129. #17988804C22semidirect
130. #17988803C22semidirect
131. #17988803C22semidirect
133. #17988802C22semidirect
134. #17988802C22semidirect
139. #17988797C22semidirect
140. #17988796C22semidirect
141. #17988792C22semidirect
142. #17988791C22semidirect
143. #17988787C22semidirect
145. #17988751C22semidirect
146. #17988751C22semidirect
147. #17988750C22semidirect
148. #17988744C22semidirect
149. #17988741C22semidirect
150. #17988741C22semidirect
152. #17988739C22semidirect
154. #17988736C22semidirect
155. #17988734C22semidirect
156. #17988734C22semidirect
158. #17988727C22semidirect
161. #17988715C22semidirect
162. #17988715C22semidirect
163. #17988698C22semidirect
164. #17988696C22semidirect
165. #17988686C22semidirect
166. #17988684C22semidirect
167. #17988681C22semidirect
168. #17988678C22semidirect
169. #17988674C22semidirect
170. #17988667C22semidirect
173. #17988655C22semidirect
174. #17988655C22semidirect
175. #17988650C22semidirect
176. #17988650C22semidirect
177. #17988643C22semidirect
178. #17988639C22semidirect
179. #17988609C22semidirect
180. C2×C4⋊#10596831C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988594C22semidirect
183. #17988590C22semidirect
184. #17988581C22semidirect
185. #17988581C22semidirect
186. #103×D73C22semidirect
188. #529×C73C22semidirect
189. C4×#41×C73C22semidirect
190. #485×C73C22semidirect
191. #482×C73C22semidirect
192. #479×C73C22semidirect
193. #478×C73C22semidirect
194. #464×C73C22semidirect
196. #452×C73C22semidirect
199. #441×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
912. #3111D73semidirect
918. C73#61990semidirect
960. #529C2×D73semidirect
967. C4×#41C2×D73semidirect
983. #485C2×D73semidirect
986. #482C2×D73semidirect
991. #479C2×D73semidirect
995. #478C2×D73semidirect
1019. #464C2×D73semidirect
1043. #452C2×D73semidirect
1063. #441C2×D73semidirect
1066. #440C2×D73semidirect
1067. #440C2×D73semidirect
1079. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238942
#226234932
#226230112
#226229982
#226227592
#226226852
#226221152
#226220852
#226219872
#226219572
#226218212
#226217692
#226216362
#226216142
#226214902
#226214492
#226214432
#226214132
#226213342
#226212782
#226212672
#226209702
#226209322
#226209002
#226200742
#226199542
#226194202
#226193862
#463×D732
#226190582
C73×#31112
#6199073