Finite Group Databasebeta

← #33972537

Subgroups — #33972537

Order 18688.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624222C211yesmaximal, characteristic, complemented
2#22623591C211yesmaximal, characteristic, complemented
3#22622272C211yesmaximal, characteristic, complemented
4#22622205C211yesmaximal, characteristic, complemented
5#22622162C211yesmaximal, characteristic, complemented
6#22622136C211yesmaximal, characteristic, complemented
7#22622017C211yesmaximal, characteristic, complemented
8#22621999C211yesmaximal, characteristic, complemented
9#22621945C211yesmaximal, characteristic, complemented
10#22621943C211yesmaximal, characteristic, complemented
11#22621595C211yesmaximal, characteristic, complemented
12#22621584C211yesmaximal, characteristic, complemented
13#22621568C211yesmaximal, characteristic, complemented
14#22621525C211yesmaximal, characteristic, complemented
15#22621515C211yesmaximal, characteristic, complemented
16#22621484C211yesmaximal, characteristic, complemented
17#22621441C211yesmaximal, characteristic, complemented
18#22621020C211yesmaximal, characteristic, complemented
19#22621002C211yesmaximal, characteristic, complemented
20#22620827C211yesmaximal, characteristic, complemented
21#22620809C211yesmaximal, characteristic, complemented
22#22620743C211yesmaximal, characteristic, complemented
23#22620732C211yesmaximal, characteristic, complemented
24#22620190C211yesmaximal, characteristic, complemented
25#22620149C211yesmaximal, characteristic, complemented
26#22619230C211yesmaximal, characteristic, complemented
27#22619204C211yesmaximal, characteristic, complemented
28#22619186C211yesmaximal, characteristic, complemented
29#22619170C211yesmaximal, characteristic, complemented
30#22618990C211yesmaximal, characteristic, complemented
31C73×#3265C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C22×#11924027C2211yescharacteristic
34C2×#14556622C2211yescharacteristic, complemented
35C2×#14556621C2211yescharacteristic, complemented
36C2×#14556620C2211yescharacteristic, complemented
37C2×#14556620C2211yescharacteristic, complemented
38C2×#14556615C2211yescharacteristic, complemented
39C2×#14556610C2211yescharacteristic, complemented
40#17989337—21no—
41#17989332—21no—
42#17989307C2211yescharacteristic, complemented
43#17989297C2211yescharacteristic, complemented
44#17989291—21no—
45#17989287—21no—
46#17989284C2211yescharacteristic, complemented
47#17989271C2211yescharacteristic, complemented
48#17989257C2211yescharacteristic
49#17989255C2211yescharacteristic
50Q8×C22⋊D73C2211yescharacteristic, complemented
51#17989246C2211yescharacteristic
52#17989245C2211yescharacteristic, complemented
53#17989243C2211yescharacteristic
54#17989236C2211yescharacteristic, complemented
55#17989232C2211yescharacteristic
56#17989231C2211yescharacteristic
57#17989226—21no—
58#17989224—21no—
59D4×C22⋊D73—21no—
60D4×C22⋊D73C2211yescharacteristic
61#17989219—21no—
62#17989207—21no—
63#17989206C2211yescharacteristic, complemented
64#17989195C2211yescharacteristic, complemented
65#17989179—21no—
66#17989171—21no—
67#17989169—21no—
68#17989166C2211yescharacteristic
69#17989166C2211yescharacteristic, complemented
70#17989164—21no—
71#17989161C2211yescharacteristic, complemented
72#17989152—21no—
73#17989150C2211yescharacteristic
74#17989096C2211yescharacteristic
75#17989094C2211yescharacteristic, complemented
76#17989093—21no—
77C22⋊Q8×D73C2211yescharacteristic, complemented
78C2×#14556563—21no—
79#121×D73C2211yescharacteristic
80#17989066C2211yescharacteristic
81#17988978C2211yescharacteristic, complemented
82#17988969C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988940C2211yescharacteristic, complemented
87#17988933C2211yescharacteristic, complemented
88#17988929C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988893C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988883C2211yescharacteristic, complemented
103#17988867C2211yescharacteristic, complemented
104#17988844C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988837C2211yescharacteristic, complemented
107#17988836C2211yescharacteristic, complemented
108#17988835C2211yescharacteristic, complemented
109#17988833C2211yescharacteristic, complemented
110#17988831C2211yescharacteristic, complemented
111#17988831C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988830C2211yescharacteristic, complemented
115#17988828C2211yescharacteristic, complemented
116#17988827C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988807C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988800C2211yescharacteristic, complemented
123#17988796C2211yescharacteristic, complemented
124#17988790C2211yescharacteristic, complemented
125#17988785C2211yescharacteristic, complemented
126#17988784C2211yescharacteristic, complemented
127#17988780C2211yescharacteristic, complemented
128#17988751C2211yescharacteristic, complemented
129#17988750C2211yescharacteristic
130#17988750C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988746C2211yescharacteristic
133#17988746C2211yescharacteristic
134#17988746C2211yescharacteristic, complemented
135#17988746C2211yescharacteristic, complemented
136#17988746C2211yescharacteristic, complemented
137#17988746C2211yescharacteristic, complemented
138#17988746C2211yescharacteristic, complemented
139#17988746C2211yescharacteristic, complemented
140#17988745C2211yescharacteristic, complemented
141#17988743C2211yescharacteristic, complemented
142#17988742C2211yescharacteristic, complemented
143#17988739C2211yescharacteristic, complemented
144#17988738C2211yescharacteristic, complemented
145#17988738C2211yescharacteristic, complemented
146#17988736C2211yescharacteristic, complemented
147#17988736C2211yescharacteristic, complemented
148#17988736C2211yescharacteristic, complemented
149#17988736C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic, complemented
151#17988730C2211yescharacteristic, complemented
152#17988729C2211yescharacteristic
153#17988729C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988729C2211yescharacteristic, complemented
157#17988727C2211yescharacteristic, complemented
158#17988724C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988695C2211yescharacteristic, complemented
161#17988688C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163C4×#11924018C2211yescharacteristic, complemented
164#17988679C2211yescharacteristic, complemented
165C4×#11924016C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic, complemented
167#17988665C2211yescharacteristic, complemented
168#17988664C2211yescharacteristic, complemented
169#17988663C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988597C2211yescharacteristic, complemented
177#17988592C2211yescharacteristic, complemented
178#17988592C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181#17988585C2211yescharacteristic, complemented
182#17988584C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988550C2211yescharacteristic, complemented
187#17988549C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203#14556636—42no—
204#14556636—42no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—42no—
211C2×#11924027—42no—
212C2×#11924027C2311yescharacteristic
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C22×Dic146C2311yescharacteristic
219C2×Q8×D73C2311yescharacteristic
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C22×C22⋊D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C23×Dic73—21no—
229C22×C4×D73C2311yescharacteristic
230#14556622—42no—
231#14556621—42no—
232#14556620—42no—
233#14556620—42no—
234#14556615—42no—
235#14556610—42no—
236C2×Dic292C2311yescharacteristic
237C2×Dic292C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924017C2311yescharacteristic
243C2×#11924016C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924016C2311yescharacteristic
246C2×#11924016C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249C2×#11924015C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924012C2311yescharacteristic
252C2×#11924012C2311yescharacteristic
253C2×#11924011C2311yescharacteristic
254C2×#11924011C2311yescharacteristic
255C2×#11924011C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic
257#14556591C2311yescharacteristic
258#14556589—21no—
259#14556589—21no—
260#14556589C2311yescharacteristic
261#14556587—21no—
262#14556587—21no—
263#14556587C2311yescharacteristic
264#14556586—21no—
265#14556585—21no—
266#14556584—21no—
267#14556584—21no—
268#14556584—21no—
269#14556584—21no—
270#14556584—21no—
271#14556583—21no—
272#14556583—21no—
273#14556582C2311yescharacteristic
274#14556581—21no—
275#14556581—21no—
276#14556580—21no—
277#14556579C2311yescharacteristic
278#14556578—21no—
279#14556578C2311yescharacteristic
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556576D411yescharacteristic
285#14556575—21no—
286#14556575—21no—
287#14556574—21no—
288#14556574—21no—
289#14556574—21no—
290#14556573—21no—
291#14556573D411yescharacteristic
292#14556572—21no—
293#14556572—21no—
294#14556572—21no—
295#14556572—21no—
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic
298#14556570—21no—
299#14556570C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556570C2311yescharacteristic
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556569—21no—
306#14556569D411yescharacteristic
307#14556568—21no—
308#14556568—21no—
309#14556568—21no—
310#14556568—21no—
311#14556568—21no—
312#14556568—21no—
313#14556568D411yescharacteristic
314#14556567—21no—
315#14556567C2311yescharacteristic
316#14556567C2311yescharacteristic
317#14556567C2311yescharacteristic
318#14556567C2311yescharacteristic
319#14556567C2311yescharacteristic
320#14556566C2311yescharacteristic
321#14556565—21no—
322#14556565C2311yescharacteristic
323#14556564—21no—
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564D411yescharacteristic
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556563—21no—
338#14556563—21no—
339#14556563—21no—
340#14556563—21no—
341#14556563—21no—
342#14556563D411yescharacteristic
343#14556562—21no—
344#14556562—21no—
345#14556562—21no—
346#14556562C2311yescharacteristic
347#14556562C2311yescharacteristic
348#14556562C2311yescharacteristic
349#14556562C2311yescharacteristic
350#14556561—21no—
351#14556561D411yescharacteristic
352#14556560—21no—
353#14556560—21no—
354#14556559—21no—
355#14556559—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559D411yescharacteristic
359Q8×Dic73C2311yescharacteristic
360C4×Dic146C2311yescharacteristic
361C4×Dic146C2311yescharacteristic
362#14556556—21no—
363#14556556C2311yescharacteristic
364C4×D292—21no—
365C4×D292C2311yescharacteristic
366D4×Dic73—21no—
367D4×Dic73—21no—
368D4×Dic73C2311yescharacteristic
369D4×Dic73C2311yescharacteristic
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73C2311yescharacteristic
375C4×C22⋊D73C2311yescharacteristic
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556551—21no—
381#14556550C2311yescharacteristic
382#14556550C2311yescharacteristic
383#14556549—21no—
384#14556548C2311yescharacteristic
385#14556547—21no—
386C2×#11924007—21no—
387C2×#11924007—21no—
388C4⋊C4×D73—21no—
389C4⋊C4×D73C2311yescharacteristic
390C4⋊C4×D73C2311yescharacteristic
391C4⋊C4×D73C2311yescharacteristic
392C2×C22⋊Dic73—21no—
393C2×#11924005—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396#14556525C2311yescharacteristic
397#14556525C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556524C2311yescharacteristic
401#14556523C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556501C2311yescharacteristic
443C4×#10596831C2311yescharacteristic
444C8×Dic73C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C22×Q8×C73C2311yescharacteristic
447C22×D4×C73—21no—
448C22×D4×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450AGL(1,ℤ/8)×C73—42no—
451C2×SD16×C73—42no—
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic
457C2×SD16×C73C2311yescharacteristic
458C2×D8×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C2×D8×C73C2311yescharacteristic
461C2×M16×C73C2311yescharacteristic
462C22×C8×C73C2311yescharacteristic
463#127×C73C2311yescharacteristic
464#124×C73—21no—
465#124×C73C2311yescharacteristic
466C22⋊Q8×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473#120×C73—21no—
474#120×C73—21no—
475C4×Q8×C73C2311yescharacteristic
476C4×D4×C73—21no—
477C4×D4×C73C2311yescharacteristic
478C4×D4×C73C2311yescharacteristic
479#107×C73C2311yescharacteristic
480C4⋊C8×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73C2×D411yescharacteristic
493#11924028—22no—
494#11924028—41no—
495#11924028—41no—
496#11924028—41no—
497#11924027—22no—
498#11924027—22no—
499#11924027—22no—
500#11924027—22no—
501#11924027—22no—
502#11924027—41no—
503#11924027—41no—
504#11924027—41no—
505#11924027—41no—
506#11924027—41no—
507#11924027—41no—
508#11924027—41no—
509#11924027—44no—
510#11924027—44no—
511#11924027—44no—
512C2×Dic146—22no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—41no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521Q8×D73—41no—
522Q8×D73—41no—
523C2×D292—21no—
524C2×D292C2×D411yescharacteristic
525C2×D292C2×D411yescharacteristic
526C2×D292C2411yescharacteristic
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—44no—
544C2×C22⋊D73—44no—
545C2×C22⋊D73—44no—
546C2×C22⋊D73—82no—
547C2×C22⋊D73C2×D411yescharacteristic
548C2×C22⋊D73C2×D411yescharacteristic
549C2×C22⋊D73C2×D411yescharacteristic
550C2×C22⋊D73C2×D411yescharacteristic
551D4×D73—22no—
552D4×D73—41no—
553D4×D73—41no—
554D4×D73—41no—
555D4×D73—44no—
556D4×D73—82no—
557C22×Dic73—21no—
558C22×Dic73—21no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73—21no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73—21no—
566C22×Dic73—44no—
567C22×Dic73C2×D411yescharacteristic
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—41no—
574C2×C4×D73—41no—
575C2×C4×D73C2×D411yescharacteristic
576C2×C4×D73C2×D411yescharacteristic
577C2×C4×D73C2411yescharacteristic
578C2×C4×D73C2411yescharacteristic
579C2×C4×D73C2411yescharacteristic
580Dic292—22no—
581Dic292—41no—
582#11924018—22no—
583#11924018—22no—
584#11924018—41no—
585#11924018—41no—
586#11924017—41no—
587#11924016—22no—
588#11924016—22no—
589#11924016—41no—
590#11924016—41no—
591#11924016—41no—
592#11924015—41no—
593#11924015—41no—
594#11924013—41no—
595#11924012—41no—
596#11924012—41no—
597#11924011—41no—
598#11924011—41no—
599#11924011—41no—
600C2×#10596831C2411yescharacteristic
601C2×#10596831C2411yescharacteristic
602C2×#10596831C2411yescharacteristic
603C2×#10596831C2411yescharacteristic
604C8×D73—41no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73—21no—
608C4⋊Dic73—21no—
609C4⋊Dic73—21no—
610C4⋊Dic73C2×D411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612C4⋊Dic73C2411yescharacteristic
613C4⋊Dic73C2411yescharacteristic
614C4⋊Dic73C2411yescharacteristic
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007C2×D411yescharacteristic
633#11924007C2×D411yescharacteristic
634#11924007C2×D411yescharacteristic
635#11924007C2×D411yescharacteristic
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73C2×D411yescharacteristic
650C22⋊Dic73C2×D411yescharacteristic
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005C2×D411yescharacteristic
663#11924005C2×D411yescharacteristic
664#11924005C2×D411yescharacteristic
665#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668C4×Dic73—21no—
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73—21no—
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73C2411yescharacteristic
675C24×C73—21no—
676C24×C73—21no—
677#41×C73—41no—
678#41×C73—41no—
679C2×Q8×C73—21no—
680C2×Q8×C73—41no—
681C2×Q8×C73—41no—
682C2×Q8×C73C2411yescharacteristic
683C2×Q8×C73C2411yescharacteristic
684C2×D4×C73—22no—
685C2×D4×C73—22no—
686C2×D4×C73—21no—
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—41no—
695C2×D4×C73—41no—
696C2×D4×C73—82no—
697C2×D4×C73C2×D411yescharacteristic
698C2×D4×C73C2411yescharacteristic
699C2×D4×C73C2411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C2×D4×C73C2411yescharacteristic
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73—21no—
705C22×C4×C73C2411yescharacteristic
706C22×C4×C73C2411yescharacteristic
707SD16×C73—22no—
708SD16×C73—22no—
709SD16×C73—41no—
710SD16×C73—41no—
711SD16×C73—41no—
712SD16×C73—41no—
713D8×C73—22no—
714D8×C73—41no—
715D8×C73—41no—
716M16×C73—41no—
717C2×C8×C73—41no—
718C2×C8×C73C2411yescharacteristic
719C2×C8×C73C2411yescharacteristic
720C2×C8×C73C2411yescharacteristic
721C2×C8×C73C2411yescharacteristic
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73C2×D411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73C2×D411yescharacteristic
735C22⋊C4×C73C2×D411yescharacteristic
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—21no—
742C23×C73—42no—
743C23×C73—42no—
744C23×C73—42no—
745C23×C73—81no—
746C23×C73—81no—
747C23×C73—81no—
748C23×C73C22×D411yescharacteristic
749C23×C73C22×D411yescharacteristic
750C22×D73—21no—
751C22×D73—41no—
752C22×D73—41no—
753C22×D73—41no—
754C22×D73—42no—
755C22×D73—42no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73C22×D411yescharacteristic
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—21no—
767Q8×C73—81no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—41no—
776D4×C73—42no—
777D4×C73—42no—
778D4×C73—42no—
779D4×C73—81no—
780D4×C73—81no—
781D4×C73—81no—
782D4×C73—81no—
783D4×C73—81no—
784D4×C73H(5,𝔽2)12yes—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—21no—
793C2×C4×C73—81no—
794C2×C4×C73—81no—
795C2×C4×C73—81no—
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C22×D411yescharacteristic
798C2×C4×C73C22×D411yescharacteristic
799C2×C4×C73C22×D411yescharacteristic
800C2×C4×C73C2511yescharacteristic
801C22⋊D73—24no—
802C22⋊D73—41no—
803C22⋊D73—41no—
804C22⋊D73—41no—
805C22⋊D73—41no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—42no—
812C22⋊D73—42no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—81no—
816C22⋊D73—81no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C2×Dic73—24no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—21no—
825C2×Dic73—21no—
826C2×Dic73—21no—
827C2×Dic73—21no—
828C2×Dic73—21no—
829C2×Dic73—41no—
830C2×Dic73—42no—
831C2×Dic73—42no—
832C2×Dic73—42no—
833C2×Dic73—42no—
834C2×Dic73—42no—
835C2×Dic73—81no—
836C2×Dic73—81no—
837C2×Dic73—81no—
838C2×Dic73C22×D411yescharacteristic
839C2×Dic73C22×D411yescharacteristic
840C2×Dic73C22×D411yescharacteristic
841C2×Dic73C22×D411yescharacteristic
842C2×Dic73C22×D411yescharacteristic
843D292—21no—
844D292—21no—
845D292—41no—
846D292—41no—
847D292—81no—
848C4×D73—21no—
849C4×D73—21no—
850C4×D73—21no—
851C4×D73—21no—
852C4×D73—21no—
853C4×D73—21no—
854C4×D73—41no—
855C4×D73—41no—
856C4×D73—42no—
857C4×D73—81no—
858C4×D73—81no—
859C4×D73—81no—
860C4×D73—81no—
861Dic146—21no—
862Dic146—21no—
863Dic146—21no—
864Dic146—21no—
865Dic146—21no—
866Dic146—41no—
867Dic146—42no—
868Dic146—81no—
869Dic146—81no—
870Dic146H(5,𝔽2)12yes—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874C8×C73—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—22no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—84no—
898C22×C73—162no—
899C22×C73C23×D411yescharacteristic
900C2×D73—21no—
901C2×D73—21no—
902C2×D73—21no—
903C2×D73—21no—
904C2×D73—21no—
905C2×D73—21no—
906C2×D73—21no—
907C2×D73—21no—
908C2×D73—21no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—82no—
913C2×D73—162no—
914C2×D73—162no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—21no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73—41no—
923C4×C73C2×H(5,𝔽2)11yescharacteristic
924C4×C73C2×H(5,𝔽2)11yescharacteristic
925Dic73—21no—
926Dic73—21no—
927Dic73—22no—
928Dic73—21no—
929Dic73—21no—
930Dic73—21no—
931Dic73—41no—
932Dic73—41no—
933Dic73—41no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937#61654—731nomaximal, Sylow
938C2×C73—41no—
939C2×C73—42no—
940C2×C73—41no—
941C2×C73—81no—
942C2×C73—81no—
943C2×C73—81no—
944C2×C73#348411yescharacteristic
945C2×C73#358511yescharacteristic
946C2×C73#358611yescharacteristic
947D73—41no—
948D73—41no—
949D73—41no—
950D73—81no—
951#3541—731no—
952#3488—731no—
953#3333—731no—
954#3327—731no—
955#3324—731no—
956#3322—731no—
957#3314—731no—
958#3313—731no—
959#3310—731no—
960#3309—731no—
961#3278—731no—
962#3277—731no—
963#3275—731no—
964#3272—731no—
965#3271—731no—
966#3269—731no—
967#3266—731no—
968#3265D7311yescharacteristic, complemented
969#3224—731no—
970#3222—731no—
971#3203—731no—
972#3201—731no—
973#3194—731no—
974#3193—731no—
975#3124—731no—
976#3120—731no—
977#3012—731no—
978#3009—731no—
979#3007—731no—
980#3005—731no—
981#2978—731no—
982C73#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—731no—
984C22×#41—731no—
985C2×#137—731no—
986C2×#137—731no—
987C2×#137—731no—
988C2×#137—731no—
989C2×AGL(1,ℤ/8)—731no—
990C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
991C2×#135—731no—
992C22×SD16C2×D7311yescharacteristic, complemented
993#563—1461no—
994#562—1461no—
995#556—731no—
996#554—731no—
997#554—1461no—
998#553—731no—
999#553—1461no—
1000#552—731no—
1001#550—731no—
1002#550—731no—
1003D4×Q8—731no—
1004#548—731no—
1005#548—731no—
1006#548—731no—
1007#548C2×D7311yescharacteristic, complemented
1008#547—731no—
1009#546—731no—
1010#546—731no—
1011#546—1461no—
1012#546—1461no—
1013D42—731no—
1014D42—1461no—
1015D42—1461no—
1016D42C2×D7311yescharacteristic
1017#542—731no—
1018#542—1461no—
1019#541—731no—
1020#539—1461no—
1021#538—1461no—
1022#538—1461no—
1023#537—731no—
1024#537—731no—
1025#537—1461no—
1026#536—731no—
1027#535—731no—
1028#535—1461no—
1029#525—731no—
1030#525—731no—
1031#525—1461no—
1032C2×C22⋊Q8—731no—
1033C2×#121—731no—
1034C2×#121—1461no—
1035#520—731no—
1036#497—731no—
1037#496C2×D7311yescharacteristic, complemented
1038#495—731no—
1039#492—731no—
1040#490—731no—
1041#489—731no—
1042#488—731no—
1043#486—731no—
1044#485—731no—
1045#484—731no—
1046#484—731no—
1047#484—731no—
1048#483—731no—
1049#482—731no—
1050#482—731no—
1051#482—731no—
1052#480—731no—
1053#480—731no—
1054#480—731no—
1055#480—731no—
1056#479—731no—
1057#478—731no—
1058#477—731no—
1059#474—731no—
1060#470—731no—
1061#469—731no—
1062#469—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468—731no—
1067#468—731no—
1068#468—731no—
1069#468—731no—
1070#468—731no—
1071#468C2×D7311yescharacteristic, complemented
1072#467—731no—
1073#467—731no—
1074#466C2×D7311yescharacteristic, complemented
1075#465—731no—
1076#464—731no—
1077#464—731no—
1078#464—731no—
1079#464—731no—
1080#463—731no—
1081#463C2×D7311yescharacteristic, complemented
1082#462—731no—
1083#461—731no—
1084#460—731no—
1085#460—731no—
1086#460C2×D7311yescharacteristic, complemented
1087#459—731no—
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452—731no—
1097#452—731no—
1098#452—731no—
1099#452—731no—
1100#451—731no—
1101#451—731no—
1102#451—731no—
1103#450—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450C2×D7311yescharacteristic, complemented
1111#449—731no—
1112#449—731no—
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449C2×D7311yescharacteristic, complemented
1119#448—731no—
1120#448—731no—
1121#448C2×D7311yescharacteristic, complemented
1122#447—731no—
1123#447C2×D7311yescharacteristic, complemented
1124#441—731no—
1125#440—731no—
1126#440—731no—
1127#440C2×D7311yescharacteristic, complemented
1128C4×Q16—731no—
1129C4×Q16—731no—
1130C4×SD16—731no—
1131C4×D8—731no—
1132#436—731no—
1133#436—731no—
1134#436—731no—
1135#436—731no—
1136#435—731no—
1137#435—731no—
1138#435—731no—
1139#435C2×D7311yescharacteristic, complemented
1140#433—731no—
1141#433—731no—
1142#419—731no—
1143#418—731no—
1144#418—731no—
1145#417—731no—
1146#417—731no—
1147#417—731no—
1148#416—731no—
1149C2×#102—731no—
1150#408—731no—
1151#408—731no—
1152#407—731no—
1153#407—731no—
1154H(5,𝔽2)—2922no—
1155H(5,𝔽2)—2922no—
1156C2×#41—2922no—
1157C2×#41—2922no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—731no—
1165C2×#41—731no—
1166C2×#41—1461no—
1167C2×#41—1461no—
1168C2×#41—1461no—
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×Q8C22×D7311yescharacteristic
1173C22×D4—21no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—1461no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4—1461no—
1182C22×D4C22×D7311yescharacteristic
1183C22×D4C22×D7311yescharacteristic
1184C23×C4—731no—
1185C23×C4—1461no—
1186#137—2922no—
1187#137—2922no—
1188#137—2922no—
1189#137—2922no—
1190AGL(1,ℤ/8)—42no—
1191AGL(1,ℤ/8)—2922no—
1192#135—2922no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16—731no—
1197C2×Q16—731no—
1198C2×Q16—731no—
1199C2×SD16—42no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16C22×D7311yescharacteristic
1209C2×SD16C22×D7311yescharacteristic
1210C2×SD16C22×D7311yescharacteristic
1211C2×SD16C22×D7311yescharacteristic
1212C2×SD16C22×D7311yescharacteristic
1213C2×SD16C22×D7311yescharacteristic
1214C2×D8—731no—
1215C2×D8C22×D7311yescharacteristic
1216C2×D8C22×D7311yescharacteristic
1217C2×D8C22×D7311yescharacteristic
1218C2×M16—731no—
1219C2×M16—731no—
1220C2×M16—731no—
1221C2×M16—731no—
1222C2×M16—731no—
1223C2×M16C22×D7311yescharacteristic
1224C22×C8—731no—
1225C22×C8C22×D7311yescharacteristic
1226C4⋊Q8—731no—
1227C4⋊Q8—731no—
1228C4⋊Q8—1461no—
1229C4⋊Q8—1461no—
1230#127—731no—
1231#127—1461no—
1232#127—1461no—
1233#127C22×D7311yescharacteristic
1234#126—1461no—
1235#126—1461no—
1236#126—1461no—
1237#126—1461no—
1238#126—1461no—
1239#126—1461no—
1240#126—1461no—
1241#125—731no—
1242#125—1461no—
1243#125—1461no—
1244#125—1461no—
1245#125—1461no—
1246#124—21no—
1247#124—731no—
1248#124—731no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124—1461no—
1254#124—1461no—
1255#124C22×D7311yescharacteristic
1256#123—731no—
1257#123—731no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268C22⋊Q8—21no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8—1461no—
1293C22⋊Q8C22×D7311yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121C22×D7311yescharacteristic
1327#121C22×D7311yescharacteristic
1328#121C22×D7311yescharacteristic
1329#120—21no—
1330#120—21no—
1331#120—731no—
1332#120—731no—
1333#120—1461no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340C4×Q8—731no—
1341C4×Q8—731no—
1342C4×Q8—731no—
1343C4×Q8—731no—
1344C4×Q8—1461no—
1345C4×Q8C22×D7311yescharacteristic
1346C4×D4—21no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
1351C4×D4—731no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4C22×D7311yescharacteristic
1365C4×D4C22×D7311yescharacteristic
1366#117—731no—
1367#117—731no—
1368#117—731no—
1369#117—1461no—
1370#117—1461no—
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—731no—
1374C2×C4⋊C4—1461no—
1375C2×C4⋊C4—1461no—
1376C2×C4⋊C4—1461no—
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C22⋊C4—1461no—
1381#107—731no—
1382#107—731no—
1383#107—731no—
1384#107—731no—
1385#107—731no—
1386#107C22×D7311yescharacteristic
1387#106—731no—
1388#106—731no—
1389C4⋊C8—731no—
1390C4⋊C8—731no—
1391C4⋊C8—731no—
1392C4⋊C8C22×D7311yescharacteristic
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103C22×D7311yescharacteristic
1406#103C22×D7311yescharacteristic
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102C22×D7311yescharacteristic
1422#102C22×D7311yescharacteristic
1423#102C22×D7311yescharacteristic
1424#102C22×D7311yescharacteristic
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8—731no—
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8C22×D7311yescharacteristic
1436C22⋊C8C22×D7311yescharacteristic
1437#97—731no—
1438#97C22×D7311yescharacteristic
1439C4×C8—731no—
1440C4×C8—731no—
1441C24—21no—
1442C24—21no—
1443C24—731no—
1444C24—1461no—
1445C24—1461no—
1446#41—41no—
1447#41—41no—
1448#41—2921no—
1449#41—2921no—
1450#41—2921no—
1451#41—2924no—
1452#41—2921no—
1453#41—2921no—
1454#41—2921no—
1455#41—2921no—
1456#41—2921no—
1457#41—2924no—
1458#41—2924no—
1459#41—2921no—
1460#41—2921no—
1461#41—1462no—
1462#41—1462no—
1463#41—1462no—
1464#41—1462no—
1465#41—1462no—
1466#41—1462no—
1467C2×Q8—21no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—2921no—
1473C2×Q8—731no—
1474C2×Q8—731no—
1475C2×Q8—731no—
1476C2×Q8—731no—
1477C2×Q8—1462no—
1478C2×Q8—1461no—
1479C2×Q8—1461no—
1480C2×Q8—1461no—
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×D4—22no—
1484C2×D4—22no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—41no—
1494C2×D4—41no—
1495C2×D4—82no—
1496C2×D4—2924no—
1497C2×D4—2924no—
1498C2×D4—2924no—
1499C2×D4—2921no—
1500C2×D4—2921no—
1501C2×D4—2921no—
1502C2×D4—2924no—
1503C2×D4—5842no—
1504C2×D4—5842no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—731no—
1511C2×D4—731no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1462no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4D4×D7311yescharacteristic
1531C2×D4C23×D7311yescharacteristic
1532C2×D4C23×D7311yescharacteristic
1533C2×D4C23×D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—2921no—
1539C22×C4—2921no—
1540C22×C4—2924no—
1541C22×C4—731no—
1542C22×C4—731no—
1543C22×C4—731no—
1544C22×C4—731no—
1545C22×C4—731no—
1546C22×C4—731no—
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×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563Q16—2921no—
1564Q16—2921no—
1565Q16—2921no—
1566Q16—1462no—
1567Q16—1462no—
1568Q16—1462no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—41no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—2921no—
1579SD16—2921no—
1580SD16—2921no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—22no—
1584D8—41no—
1585D8—41no—
1586D8—2921no—
1587M16—41no—
1588M16—2921no—
1589M16—2921no—
1590M16—2921no—
1591M16—2921no—
1592M16—2921no—
1593C2×C8—41no—
1594C2×C8—2921no—
1595C2×C8—731no—
1596C2×C8—731no—
1597C2×C8—731no—
1598C2×C8—731no—
1599C2×C8C23×D7311yescharacteristic
1600C2×C8C23×D7311yescharacteristic
1601C2×C8C23×D7311yescharacteristic
1602C2×C8C23×D7311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—731no—
1606C4⋊C4—731no—
1607C4⋊C4—731no—
1608C4⋊C4—731no—
1609C4⋊C4—731no—
1610C4⋊C4—731no—
1611C4⋊C4—731no—
1612C4⋊C4—731no—
1613C4⋊C4—731no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4D4×D7311yescharacteristic
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—731no—
1647C22⋊C4—731no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—731no—
1652C22⋊C4—731no—
1653C22⋊C4—731no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4D4×D7311yescharacteristic
1679C22⋊C4D4×D7311yescharacteristic
1680C42—21no—
1681C42—731no—
1682C42—1461no—
1683C42—1461no—
1684C42—1461no—
1685C42—1461no—
1686C42—1461no—
1687C42—1461no—
1688C42C23×D7311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—42no—
1694C23—42no—
1695C23—42no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—2922no—
1700C23—2921no—
1701C23—2921no—
1702C23—2921no—
1703C23—2922no—
1704C23—5841no—
1705C23—5841no—
1706C23—5841no—
1707C23—5841no—
1708C23—731no—
1709C23—731no—
1710C23—731no—
1711C23—1461no—
1712C23C2×D4×D7311yescharacteristic
1713C23C2×D4×D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—81no—
1719Q8—2922no—
1720Q8—2921no—
1721Q8—5841no—
1722Q8—5841no—
1723Q8—732no—
1724Q8—1461no—
1725Q8—1461no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8—1461no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—41no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—2921no—
1746D4—2921no—
1747D4—2922no—
1748D4—2922no—
1749D4—2922no—
1750D4—2922no—
1751D4—2922no—
1752D4—2922no—
1753D4—2921no—
1754D4—2921no—
1755D4—2921no—
1756D4—2921no—
1757D4—2922no—
1758D4—2922no—
1759D4—2922no—
1760D4—5841no—
1761D4—5841no—
1762D4—5841no—
1763D4—5841no—
1764D4—5841no—
1765D4—5841no—
1766D4—5841no—
1767D4—1464no—
1768D4—1461no—
1769D4—1461no—
1770D4#1455663612yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—2922no—
1783C2×C4—2921no—
1784C2×C4—2921no—
1785C2×C4—2922no—
1786C2×C4—2922no—
1787C2×C4—2922no—
1788C2×C4—2921no—
1789C2×C4—2922no—
1790C2×C4—2922no—
1791C2×C4—5841no—
1792C2×C4—5841no—
1793C2×C4—5841no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—5841no—
1798C2×C4—731no—
1799C2×C4—731no—
1800C2×C4—731no—
1801C2×C4—731no—
1802C2×C4—731no—
1803C2×C4—1461no—
1804C2×C4—1461no—
1805C2×C4—1461no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1464no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1461no—
1815C2×C4—1461no—
1816C2×C4—1461no—
1817C2×C4C2×D4×D7311yescharacteristic
1818C2×C4C2×D4×D7311yescharacteristic
1819C2×C4C2×D4×D7311yescharacteristic
1820C2×C4C2×D4×D7311yescharacteristic
1821C2×C4C24×D7311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1461no—
1827C8—1461no—
1828C8—1461no—
1829C8—1461no—
1830C22—21no—
1831C22—21no—
1832C22—22no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—84no—
1849C22—162no—
1850C22—2921no—
1851C22—2921no—
1852C22—2921no—
1853C22—5842no—
1854C22—11682no—
1855C22—11682no—
1856C22—1461no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22—1461no—
1862C22—1461no—
1863C22—1461no—
1864C22—1461no—
1865C22C22×D4×D7311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—2921no—
1875C4—2921no—
1876C4—2921no—
1877C4—2921no—
1878C4—2921no—
1879C4—2921no—
1880C4—1461no—
1881C4—1461no—
1882C4—1462no—
1883C4—1461no—
1884C4—1461no—
1885C4—1461no—
1886C4H(5,𝔽2)×D7311yescharacteristic
1887C4C2×#1455663611yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—81no—
1894C2—2921no—
1895C2—2921no—
1896C2—2921no—
1897C2—5841no—
1898C2#2262355911yescharacteristic
1899C2#2262470711yescharacteristic
1900C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3265C2
socleC22×C73C23×D4
hypercenter#3265D73
hypocenterC73#61654
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #22624222C2semidirect
2. #22623591C2semidirect
3. #22622272C2semidirect
4. #22622205C2semidirect
5. #22622162C2semidirect
6. #22622136C2semidirect
7. #22622017C2semidirect
8. #22621999C2semidirect
9. #22621945C2semidirect
10. #22621943C2semidirect
11. #22621595C2semidirect
12. #22621584C2semidirect
13. #22621568C2semidirect
14. #22621525C2semidirect
15. #22621515C2semidirect
16. #22621484C2semidirect
17. #22621441C2semidirect
18. #22621020C2semidirect
19. #22621002C2semidirect
20. #22620827C2semidirect
21. #22620809C2semidirect
22. #22620743C2semidirect
23. #22620732C2semidirect
24. #22620190C2semidirect
25. #22620149C2semidirect
26. #22619230C2semidirect
27. #22619204C2semidirect
28. #22619186C2semidirect
29. #22619170C2semidirect
30. #22618990C2semidirect
31. C73×#3265C2semidirect
34. C2×#14556622C22semidirect
35. C2×#14556621C22semidirect
36. C2×#14556620C22semidirect
37. C2×#14556620C22semidirect
38. C2×#14556615C22semidirect
39. C2×#14556610C22semidirect
42. #17989307C22semidirect
43. #17989297C22semidirect
46. #17989284C22semidirect
47. #17989271C22semidirect
50. Q8×C22⋊D73C22semidirect
52. #17989245C22semidirect
54. #17989236C22semidirect
63. #17989206C22semidirect
64. #17989195C22semidirect
69. #17989166C22semidirect
71. #17989161C22semidirect
75. #17989094C22semidirect
77. C22⋊Q8×D73C22semidirect
81. #17988978C22semidirect
82. #17988969C22semidirect
83. #17988958C22semidirect
84. #17988950C22semidirect
85. #17988947C22semidirect
86. #17988940C22semidirect
87. #17988933C22semidirect
88. #17988929C22semidirect
89. #17988924C22semidirect
90. #17988924C22semidirect
91. #17988921C22semidirect
92. #17988916C22semidirect
93. #17988912C22semidirect
94. #17988908C22semidirect
95. #17988908C22semidirect
96. #17988902C22semidirect
97. #17988899C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988893C22semidirect
101. #17988889C22semidirect
102. #17988883C22semidirect
103. #17988867C22semidirect
104. #17988844C22semidirect
105. #17988839C22semidirect
106. #17988837C22semidirect
107. #17988836C22semidirect
108. #17988835C22semidirect
109. #17988833C22semidirect
110. #17988831C22semidirect
111. #17988831C22semidirect
112. #17988831C22semidirect
113. #17988830C22semidirect
114. #17988830C22semidirect
115. #17988828C22semidirect
116. #17988827C22semidirect
117. #17988813C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988807C22semidirect
121. #17988806C22semidirect
122. #17988800C22semidirect
123. #17988796C22semidirect
124. #17988790C22semidirect
125. #17988785C22semidirect
126. #17988784C22semidirect
127. #17988780C22semidirect
128. #17988751C22semidirect
130. #17988750C22semidirect
131. #17988750C22semidirect
134. #17988746C22semidirect
135. #17988746C22semidirect
136. #17988746C22semidirect
137. #17988746C22semidirect
138. #17988746C22semidirect
139. #17988746C22semidirect
140. #17988745C22semidirect
141. #17988743C22semidirect
142. #17988742C22semidirect
143. #17988739C22semidirect
144. #17988738C22semidirect
145. #17988738C22semidirect
146. #17988736C22semidirect
147. #17988736C22semidirect
148. #17988736C22semidirect
149. #17988736C22semidirect
150. #17988732C22semidirect
151. #17988730C22semidirect
153. #17988729C22semidirect
154. #17988729C22semidirect
155. #17988729C22semidirect
156. #17988729C22semidirect
157. #17988727C22semidirect
158. #17988724C22semidirect
159. #17988719C22semidirect
160. #17988695C22semidirect
161. #17988688C22semidirect
162. #17988684C22semidirect
163. C4×#11924018C22semidirect
164. #17988679C22semidirect
165. C4×#11924016C22semidirect
166. D8×Dic73C22semidirect
167. #17988665C22semidirect
168. #17988664C22semidirect
169. #17988663C22semidirect
170. #17988662C22semidirect
171. #17988661C22semidirect
172. #17988660C22semidirect
173. #17988658C22semidirect
174. #17988649C22semidirect
175. #17988647C22semidirect
176. #17988597C22semidirect
177. #17988592C22semidirect
178. #17988592C22semidirect
179. #17988585C22semidirect
180. #17988585C22semidirect
181. #17988585C22semidirect
182. #17988584C22semidirect
183. #102×D73C22semidirect
184. #17988553C22semidirect
185. #17988552C22semidirect
186. #17988550C22semidirect
187. #17988549C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C22×SD16×C73C22semidirect
190. #548×C73C22semidirect
192. #496×C73C22semidirect
193. #468×C73C22semidirect
194. #466×C73C22semidirect
195. #463×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #449×C73C22semidirect
199. #448×C73C22semidirect
200. #447×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
968. #3265D73semidirect
982. C73#61654semidirect
990. C2×AGL(1,ℤ/8)C2×D73semidirect
992. C22×SD16C2×D73semidirect
1007. #548C2×D73semidirect
1037. #496C2×D73semidirect
1071. #468C2×D73semidirect
1074. #466C2×D73semidirect
1081. #463C2×D73semidirect
1086. #460C2×D73semidirect
1110. #450C2×D73semidirect
1118. #449C2×D73semidirect
1121. #448C2×D73semidirect
1123. #447C2×D73semidirect
1127. #440C2×D73semidirect
1139. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242222
#226235912
#226222722
#226222052
#226221622
#226221362
#226220172
#226219992
#226219452
#226219432
#226215952
#226215842
#226215682
#226215252
#226215152
#226214842
#226214412
#226210202
#226210022
#226208272
#226208092
#226207432
#226207322
#226201902
#226201492
#226192302
#226192042
#226191862
#226191702
#226189902
C73×#32652
#6165473