Finite Group Databasebeta

← #33968045

Subgroups — #33968045

Order 18688.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623538C211yesmaximal, characteristic, complemented
2#22623530C211yesmaximal, characteristic, complemented
3#22623014C211yesmaximal, characteristic, complemented
4#22622879C211yesmaximal, characteristic, complemented
5#22622704C211yesmaximal, characteristic, complemented
6#22622679C211yesmaximal, characteristic, complemented
7#22622470C211yesmaximal, characteristic, complemented
8#22622419C211yesmaximal, characteristic, complemented
9#22622326C211yesmaximal, characteristic, complemented
10#22622067C211yesmaximal, characteristic, complemented
11#22622043C211yesmaximal, characteristic, complemented
12#22621969C211yesmaximal, characteristic, complemented
13#22621834C211yesmaximal, characteristic, complemented
14#22621776C211yesmaximal, characteristic, complemented
15#22621641C211yesmaximal, characteristic, complemented
16#22621472C211yesmaximal, characteristic, complemented
17#22621429C211yesmaximal, characteristic, complemented
18#22620655C211yesmaximal, characteristic, complemented
19#22620628C211yesmaximal, characteristic, complemented
20#22620624C211yesmaximal, characteristic, complemented
21#22620107C211yesmaximal, characteristic, complemented
22#22620075C211yesmaximal, characteristic, complemented
23#22620066C211yesmaximal, characteristic, complemented
24#22620035C211yesmaximal, characteristic, complemented
25#22620033C211yesmaximal, characteristic, complemented
26#22620021C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618744C211yesmaximal, characteristic, complemented
29#22618727C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3309C211yesmaximal, characteristic, complemented
32C2×#14556616C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989323—21no—
36#17989323C2211yescharacteristic, complemented
37#17989320C2211yescharacteristic
38#17989316C2211yescharacteristic, complemented
39#17989307—21no—
40#17989307C2211yescharacteristic, complemented
41#17989293C2211yescharacteristic
42#17989292C2211yescharacteristic
43#17989284—21no—
44#17989284—21no—
45#17989284C2211yescharacteristic
46#17989284C2211yescharacteristic, complemented
47#17989282—21no—
48#17989281C2211yescharacteristic
49#17989266—21no—
50#17989262—21no—
51#17989244C2211yescharacteristic
52#17989244C2211yescharacteristic, complemented
53#17989234C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989226—21no—
56#17989221C2211yescharacteristic
57#17989135—21no—
58#17989135C2211yescharacteristic, complemented
59#17989132C2211yescharacteristic
60#17989122C2211yescharacteristic
61#17989120—21no—
62#17989118—21no—
63#17989118—21no—
64#17989118C2211yescharacteristic
65#17989118C2211yescharacteristic, complemented
66#17989118C2211yescharacteristic, complemented
67#17989097—21no—
68#17989095—21no—
69#41×Dic73C2211yescharacteristic, complemented
70#41×Dic73C2211yescharacteristic, complemented
71#17989055C2211yescharacteristic
72C4×#11924027—21no—
73C4×#11924027C2211yescharacteristic
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×#14556553C2211yescharacteristic
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988987C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic
82#17988974C2211yescharacteristic, complemented
83#17988970C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic
85#17988947C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988940C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988917C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic
95#17988908C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic
97#17988904C2211yescharacteristic, complemented
98#17988904C2211yescharacteristic, complemented
99#17988893C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988891C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic
103#17988890C2211yescharacteristic, complemented
104#17988886C2211yescharacteristic
105#17988885C2211yescharacteristic, complemented
106#17988878C2211yescharacteristic
107#17988877C2211yescharacteristic, complemented
108#17988870C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988845C2211yescharacteristic, complemented
111#17988831C2211yescharacteristic
112#17988831C2211yescharacteristic, complemented
113#17988822C2211yescharacteristic
114#17988822C2211yescharacteristic
115#17988821C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988809C2211yescharacteristic, complemented
122#17988808C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic
125#17988801C2211yescharacteristic
126#17988801C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic, complemented
128#17988785C2211yescharacteristic
129#17988780C2211yescharacteristic
130#17988779C2211yescharacteristic
131#17988751C2211yescharacteristic
132#17988749C2211yescharacteristic, complemented
133#17988744C2211yescharacteristic, complemented
134#17988740C2211yescharacteristic
135#17988732C2211yescharacteristic, complemented
136#17988730C2211yescharacteristic
137#17988727C2211yescharacteristic
138#17988720C2211yescharacteristic
139#17988719C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic, complemented
145#17988696C2211yescharacteristic
146#17988696C2211yescharacteristic
147#17988696C2211yescharacteristic
148#17988696C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic, complemented
150#17988693C2211yescharacteristic, complemented
151#17988691C2211yescharacteristic, complemented
152#17988691C2211yescharacteristic, complemented
153#17988690C2211yescharacteristic
154#17988690C2211yescharacteristic
155#17988690C2211yescharacteristic, complemented
156#17988689C2211yescharacteristic
157#17988688C2211yescharacteristic, complemented
158#17988687C2211yescharacteristic, complemented
159#17988686C2211yescharacteristic
160#17988686C2211yescharacteristic, complemented
161#17988685C2211yescharacteristic
162#17988684C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988672C2211yescharacteristic
167#17988672C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic
169#17988667C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988627C2211yescharacteristic, complemented
179#17988623C2211yescharacteristic, complemented
180#107×D73C2211yescharacteristic, complemented
181#17988593C2211yescharacteristic
182#17988584C2211yescharacteristic
183#103×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189#550×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic
195#466×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#449×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027—21no—
206C2×#11924027D411yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C22×C4×D73—21no—
213#14556616—24no—
214#14556611—24no—
215C2×Dic292C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224SD16×D73—24no—
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556591—21no—
234#14556591C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556587C2311yescharacteristic
237#14556586—21no—
238#14556585—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556582—21no—
247#14556582—21no—
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556579C2311yescharacteristic
253#14556578—21no—
254#14556578—21no—
255#14556578—21no—
256#14556578—21no—
257#14556578—21no—
258#14556578C2311yescharacteristic
259#14556578C2311yescharacteristic
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556576—21no—
264#14556576—21no—
265#14556574—21no—
266#14556573—21no—
267#14556573—21no—
268#14556573—21no—
269#14556572—21no—
270#14556572—21no—
271#14556572—21no—
272#14556572—21no—
273#14556572—21no—
274#14556572—21no—
275#14556572—21no—
276#14556571—21no—
277#14556571C2311yescharacteristic
278#14556570—21no—
279#14556570—21no—
280#14556570—21no—
281#14556570C2311yescharacteristic
282#14556570C2311yescharacteristic
283#14556570C2311yescharacteristic
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556566C2311yescharacteristic
288#14556565C2311yescharacteristic
289#14556564—21no—
290#14556564—21no—
291#14556564—21no—
292#14556563—21no—
293#14556562—21no—
294#14556562—21no—
295#14556562—21no—
296#14556562—21no—
297#14556562—21no—
298#14556562—21no—
299#14556562C2311yescharacteristic
300#14556562C2311yescharacteristic
301#14556561—21no—
302#14556559—21no—
303#14556559—21no—
304#14556559—21no—
305Q8×Dic73C2311yescharacteristic
306Q8×Dic73C2311yescharacteristic
307Q8×Dic73C2311yescharacteristic
308C4×Dic146—21no—
309C4×Dic146—21no—
310C4×Dic146C2311yescharacteristic
311C4×Dic146C2311yescharacteristic
312#14556556—21no—
313#14556556—21no—
314#14556556D411yescharacteristic
315#14556556C2311yescharacteristic
316#14556556C2311yescharacteristic
317#14556556C2311yescharacteristic
318C4×D292—21no—
319C4×D292C2311yescharacteristic
320D4×Dic73—21no—
321D4×Dic73—21no—
322D4×Dic73—21no—
323D4×Dic73—21no—
324D4×Dic73—21no—
325D4×Dic73—21no—
326D4×Dic73—21no—
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73D411yescharacteristic
330D4×Dic73C2311yescharacteristic
331D4×Dic73C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335#14556553—21no—
336#14556553—21no—
337#14556553—21no—
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73C2311yescharacteristic
349C4×C22⋊D73C2311yescharacteristic
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551D411yescharacteristic
357#14556551D411yescharacteristic
358#14556550—21no—
359#14556550—21no—
360#14556550C2311yescharacteristic
361#14556550C2311yescharacteristic
362#14556549—21no—
363#14556549D411yescharacteristic
364#14556548—21no—
365#14556547—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547D411yescharacteristic
369#14556547D411yescharacteristic
370C4⋊C4×D73—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73C2311yescharacteristic
381C2×C4×Dic73C2311yescharacteristic
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445#127×C73—21no—
446#127×C73C2311yescharacteristic
447#126×C73—21no—
448#125×C73C2311yescharacteristic
449#123×C73—21no—
450#121×C73—21no—
451#121×C73—21no—
452#121×C73—21no—
453#121×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463C2×C4⋊C4×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924028—22no—
484#11924028—41no—
485#11924027—42no—
486#11924027—44no—
487#11924027—82no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×Dic146C2411yescharacteristic
494Q8×D73—22no—
495Q8×D73—41no—
496C2×D292—22no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—41no—
500C2×D292C2411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73C2×D411yescharacteristic
510C2×C22⋊D73C2×D411yescharacteristic
511D4×D73—22no—
512D4×D73—41no—
513D4×D73—44no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73C2×D411yescharacteristic
520C22×Dic73C2×D411yescharacteristic
521C22×Dic73C2×D411yescharacteristic
522C22×Dic73C2×D411yescharacteristic
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—82no—
534C2×C4×D73—82no—
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2×D411yescharacteristic
537C2×C4×D73C2411yescharacteristic
538Dic292—41no—
539#11924018—22no—
540#11924017—22no—
541#11924017—41no—
542#11924016—22no—
543#11924016—22no—
544#11924016—41no—
545#11924015—22no—
546#11924015#4114yescomplemented
547#11924013—22no—
548#11924013—22no—
549#11924013—22no—
550#11924013—41no—
551#11924012—22no—
552C2×#10596831—22no—
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C8×D73—22no—
558C8×D73—41no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73C2×D411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73C2×D411yescharacteristic
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640#41×C73—22no—
641#41×C73—22no—
642#41×C73—41no—
643#41×C73—41no—
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73—21no—
653C2×D4×C73C2×D411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C2×D4×C73C2411yescharacteristic
656C2×D4×C73C2411yescharacteristic
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73C2411yescharacteristic
662C22×C4×C73C2411yescharacteristic
663SD16×C73—22no—
664D8×C73—41no—
665D8×C73—41no—
666M16×C73—41no—
667C2×C8×C73—41no—
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73C22×D411yescharacteristic
696C23×C73C22×D411yescharacteristic
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73C22×D411yescharacteristic
706Q8×C73—21no—
707Q8×C73C2×#4112yes—
708D4×C73—21no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—41no—
715D4×C73—42no—
716D4×C73—42no—
717D4×C73—42no—
718D4×C73—42no—
719D4×C73—81no—
720D4×C73—81no—
721D4×C73—81no—
722D4×C73—81no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—42no—
733C2×C4×C73—42no—
734C2×C4×C73—81no—
735C2×C4×C73—81no—
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C2511yescharacteristic
741C22⋊D73—22no—
742C22⋊D73—22no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—41no—
757C2×Dic73—41no—
758C2×Dic73—41no—
759C2×Dic73—41no—
760C2×Dic73—42no—
761C2×Dic73—42no—
762C2×Dic73—42no—
763C2×Dic73—81no—
764C2×Dic73—81no—
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772D292—21no—
773D292—21no—
774D292—21no—
775D292—42no—
776D292—42no—
777D292C2×#4112yes—
778C4×D73—22no—
779C4×D73—21no—
780C4×D73—21no—
781C4×D73—41no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—81no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792Dic146—21no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—41no—
797Dic146—42no—
798Dic146—42no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73—21no—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831C2×#4112yes—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—21no—
813C22×C73—21no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73C23×D411yescharacteristic
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—22no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—84no—
833C2×D73—84no—
834C2×D73#57512yes—
835C4×C73—21no—
836C4×C73—22no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73C22×#4111yescharacteristic
845C4×C73#58511yescharacteristic
846Dic73—21no—
847Dic73—21no—
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—41no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—41no—
861C2×C73—41no—
862C2×C73—81no—
863C2×C73—81no—
864C2×C73—81no—
865C2×C73D4×#4111yescharacteristic
866C2×C73C2×#57511yescharacteristic
867C2×C73#358511yescharacteristic
868D73—22no—
869D73—42no—
870D73—81no—
871#3481—731no—
872#3480—731no—
873#3403—731no—
874#3388—731no—
875#3371—731no—
876#3370—731no—
877#3350—731no—
878#3346—731no—
879#3339—731no—
880#3318—731no—
881#3316—731no—
882#3311—731no—
883#3309D7311yescharacteristic, complemented
884#3301—731no—
885#3297—731no—
886#3282—731no—
887#3268—731no—
888#3265—731no—
889#3183—731no—
890#3180—731no—
891#3180—731no—
892#3117—731no—
893#3115—731no—
894#3114—731no—
895#3111—731no—
896#3111—731no—
897#3109—731no—
898#2970—731no—
899C4×AGL(1,ℤ/8)—731no—
900#2943—731no—
901C2×#440—731no—
902C73#6145611yescharacteristic, complemented, Sylow
903C2×AGL(1,ℤ/8)—731no—
904C2×#135—731no—
905C22×SD16—731no—
906#559—731no—
907#559—731no—
908#559—1461no—
909#557—731no—
910#556—731no—
911#556—1461no—
912#554—731no—
913#554—731no—
914#553—731no—
915#553—731no—
916#553—731no—
917#553—1461no—
918#553—1461no—
919#553—1461no—
920#553C2×D7311yescharacteristic
921#551—1461no—
922#551—1461no—
923#550C2×D7311yescharacteristic, complemented
924#548—731no—
925#548—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
929D42—731no—
930#532—731no—
931#532—731no—
932#532—1461no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—1461no—
947C2×C4×Q8—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951#501—731no—
952#501—731no—
953#499—731no—
954#496—731no—
955#496—731no—
956#495—731no—
957#490—731no—
958#490C2×D7311yescharacteristic, complemented
959#489—731no—
960#489—731no—
961#488—731no—
962#488—731no—
963#485—731no—
964#485—731no—
965#484—731no—
966#483—731no—
967#482—731no—
968#482—731no—
969#482—731no—
970#482C2×D7311yescharacteristic, complemented
971#481—731no—
972#481—731no—
973#481—731no—
974#480C2×D7311yescharacteristic, complemented
975#479—731no—
976#479—731no—
977#479—731no—
978#479C2×D7311yescharacteristic, complemented
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#476—731no—
984#476—731no—
985#475—731no—
986#474—731no—
987#470—731no—
988#469C2×D7311yescharacteristic
989#468—731no—
990#468—731no—
991#466—731no—
992#466—731no—
993#466—731no—
994#466C2×D7311yescharacteristic, complemented
995#465—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#464—731no—
1000#464—731no—
1001#464—731no—
1002#464—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#460—731no—
1008#459—731no—
1009#459—731no—
1010#459C2×D7311yescharacteristic, complemented
1011#452—731no—
1012#452—731no—
1013#451—731no—
1014#450—731no—
1015#449—731no—
1016#449—731no—
1017#449C2×D7311yescharacteristic
1018#449C2×D7311yescharacteristic, complemented
1019#448—731no—
1020#447—731no—
1021#447—731no—
1022#447—731no—
1023#446—731no—
1024#446—731no—
1025#442—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#441—731no—
1033#441—731no—
1034#441—731no—
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440C2×D7311yescharacteristic, complemented
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053#435—731no—
1054#435—731no—
1055#435—731no—
1056#435C2×D7311yescharacteristic, complemented
1057C8×D4—731no—
1058C8×D4—731no—
1059#432—731no—
1060#432—731no—
1061#432—731no—
1062#428—731no—
1063#427—731no—
1064C2×#107—731no—
1065#418—731no—
1066#417C2×D7311yescharacteristic, complemented
1067#416—731no—
1068#416C2×D7311yescharacteristic, complemented
1069C2×#103—731no—
1070C2×#102—731no—
1071C4×M16—731no—
1072C2×#97—731no—
1073C2×#97—731no—
1074C2×#41—731no—
1075C2×#41—731no—
1076C2×#41—1461no—
1077C2×#41—1461no—
1078C2×#41C22×D7311yescharacteristic
1079C2×#41C22×D7311yescharacteristic
1080C22×Q8—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086AGL(1,ℤ/8)—1464no—
1087#135—1464no—
1088C2×Q16—731no—
1089C2×Q16—731no—
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—1464no—
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8C22×D7311yescharacteristic
1104C2×D8C22×D7311yescharacteristic
1105C2×M16—731no—
1106C2×M16C22×D7311yescharacteristic
1107C22×C8—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8C22×D7311yescharacteristic
1111C4⋊Q8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8—1461no—
1114#127—21no—
1115#127—731no—
1116#127C22×D7311yescharacteristic
1117#126—21no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125C22×D7311yescharacteristic
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#124—1461no—
1143#124—1461no—
1144#124—1461no—
1145#123—21no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—1461no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121C22×D7311yescharacteristic
1188#121C22×D7311yescharacteristic
1189#121C22×D7311yescharacteristic
1190#121C22×D7311yescharacteristic
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—731no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4C22×D7311yescharacteristic
1252C4×D4C22×D7311yescharacteristic
1253#117—731no—
1254#117—731no—
1255#117—731no—
1256#117—731no—
1257#117—731no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264#117—1461no—
1265#117C22×D7311yescharacteristic
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4C22×D7311yescharacteristic
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C42—731no—
1276C2×C42—731no—
1277C2×C42—731no—
1278C2×C42—1461no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282#107—731no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107C22×D7311yescharacteristic
1289#107C22×D7311yescharacteristic
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106C22×D7311yescharacteristic
1298C4⋊C8—731no—
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8C22×D7311yescharacteristic
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103C22×D7311yescharacteristic
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102C22×D7311yescharacteristic
1330#102C22×D7311yescharacteristic
1331#102C22×D7311yescharacteristic
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336C22⋊C8—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8C22×D7311yescharacteristic
1341C22⋊C8C22×D7311yescharacteristic
1342#97—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97C22×D7311yescharacteristic
1350C4×C8—731no—
1351C4×C8—731no—
1352C24—1461no—
1353C24—1461no—
1354#41—22no—
1355#41—22no—
1356#41—41no—
1357#41—41no—
1358#41—2921no—
1359#41—2924no—
1360#41—2922no—
1361#41—5842no—
1362#41—1462no—
1363C2×Q8—2921no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—1461no—
1368C2×Q8—1461no—
1369C2×Q8—1462no—
1370C2×Q8—1461no—
1371C2×Q8C23×D7311yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—2921no—
1381C2×D4—2924no—
1382C2×D4—2921no—
1383C2×D4—731no—
1384C2×D4—731no—
1385C2×D4—731no—
1386C2×D4—731no—
1387C2×D4—1461no—
1388C2×D4—1462no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1462no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4D4×D7311yescharacteristic
1399C2×D4C23×D7311yescharacteristic
1400C2×D4C23×D7311yescharacteristic
1401C2×D4C23×D7311yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—5842no—
1407C22×C4—5842no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4C23×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—2921no—
1433Q16—1462no—
1434SD16—22no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—734no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16—1462no—
1442D8—41no—
1443D8—41no—
1444D8—2921no—
1445D8—1462no—
1446D8—1462no—
1447D8—1462no—
1448M16—41no—
1449M16—1462no—
1450C2×C8—41no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—1462no—
1457C2×C8—1462no—
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C2×C8C23×D7311yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4D4×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—731no—
1508C22⋊C4—731no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4D4×D7311yescharacteristic
1541C22⋊C4D4×D7311yescharacteristic
1542C42—21no—
1543C42—21no—
1544C42—731no—
1545C42—731no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—1461no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42C23×D7311yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—2922no—
1570C23—5841no—
1571C23—5841no—
1572C23—731no—
1573C23—1461no—
1574C23—1461no—
1575C23C2×D4×D7311yescharacteristic
1576C23C2×D4×D7311yescharacteristic
1577Q8—21no—
1578Q8—2922no—
1579Q8—2922no—
1580Q8—2921no—
1581Q8—5841no—
1582Q8—1461no—
1583Q8—1461no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8#41×D7312yes—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—41no—
1594D4—42no—
1595D4—42no—
1596D4—42no—
1597D4—42no—
1598D4—81no—
1599D4—81no—
1600D4—81no—
1601D4—81no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—2922no—
1607D4—2922no—
1608D4—2922no—
1609D4—5841no—
1610D4—5841no—
1611D4—732no—
1612D4—1462no—
1613D4—1462no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—2922no—
1631C2×C4—2922no—
1632C2×C4—2921no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2921no—
1640C2×C4—2921no—
1641C2×C4—2921no—
1642C2×C4—2921no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—731no—
1657C2×C4—1462no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C24×D7311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—732no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—5844no—
1700C22—5844no—
1701C22—732no—
1702C22—1462no—
1703C22—1461no—
1704C22—1461no—
1705C22C22×D4×D7311yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—22no—
1710C4—21no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—2921no—
1716C4—2921no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—1461no—
1722C4—1461no—
1723C4—1461no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4C2×#41×D7311yescharacteristic
1729C4#1798942211yescharacteristic
1730C2—41no—
1731C2—41no—
1732C2—81no—
1733C2—81no—
1734C2—81no—
1735C2—2922no—
1736C2—5841no—
1737C2—1462no—
1738C2#2262341511yescharacteristic
1739C2#575×D7311yescharacteristic
1740C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3309C2
socleC22×C73C23×D4
hypercenter#3309D73
hypocenterC73#61456
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #22623538C2semidirect
2. #22623530C2semidirect
3. #22623014C2semidirect
4. #22622879C2semidirect
5. #22622704C2semidirect
6. #22622679C2semidirect
7. #22622470C2semidirect
8. #22622419C2semidirect
9. #22622326C2semidirect
10. #22622067C2semidirect
11. #22622043C2semidirect
12. #22621969C2semidirect
13. #22621834C2semidirect
14. #22621776C2semidirect
15. #22621641C2semidirect
16. #22621472C2semidirect
17. #22621429C2semidirect
18. #22620655C2semidirect
19. #22620628C2semidirect
20. #22620624C2semidirect
21. #22620107C2semidirect
22. #22620075C2semidirect
23. #22620066C2semidirect
24. #22620035C2semidirect
25. #22620033C2semidirect
26. #22620021C2semidirect
27. #22618941C2semidirect
28. #22618744C2semidirect
29. #22618727C2semidirect
30. #440×D73C2semidirect
31. C73×#3309C2semidirect
36. #17989323C22semidirect
38. #17989316C22semidirect
40. #17989307C22semidirect
46. #17989284C22semidirect
52. #17989244C22semidirect
58. #17989135C22semidirect
65. #17989118C22semidirect
66. #17989118C22semidirect
69. #41×Dic73C22semidirect
70. #41×Dic73C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988997C22semidirect
79. #17988995C22semidirect
80. #17988987C22semidirect
82. #17988974C22semidirect
83. #17988970C22semidirect
85. #17988947C22semidirect
86. #17988945C22semidirect
87. #17988940C22semidirect
88. #17988940C22semidirect
89. #17988929C22semidirect
90. #17988928C22semidirect
91. #17988924C22semidirect
92. #17988917C22semidirect
93. #17988912C22semidirect
95. #17988908C22semidirect
97. #17988904C22semidirect
98. #17988904C22semidirect
99. #17988893C22semidirect
100. #17988892C22semidirect
101. #17988891C22semidirect
103. #17988890C22semidirect
105. #17988885C22semidirect
107. #17988877C22semidirect
108. #17988870C22semidirect
109. #17988865C22semidirect
110. #17988845C22semidirect
112. #17988831C22semidirect
115. #17988821C22semidirect
116. #17988816C22semidirect
117. #17988815C22semidirect
118. #17988815C22semidirect
119. #17988814C22semidirect
120. #17988810C22semidirect
121. #17988809C22semidirect
122. #17988808C22semidirect
123. #17988807C22semidirect
126. #17988801C22semidirect
127. #17988800C22semidirect
132. #17988749C22semidirect
133. #17988744C22semidirect
135. #17988732C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
143. #17988699C22semidirect
144. #17988699C22semidirect
148. #17988696C22semidirect
149. #17988696C22semidirect
150. #17988693C22semidirect
151. #17988691C22semidirect
152. #17988691C22semidirect
155. #17988690C22semidirect
157. #17988688C22semidirect
158. #17988687C22semidirect
160. #17988686C22semidirect
162. #17988684C22semidirect
163. #17988684C22semidirect
164. #17988684C22semidirect
165. #17988684C22semidirect
167. #17988672C22semidirect
169. #17988667C22semidirect
171. #17988659C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #17988627C22semidirect
179. #17988623C22semidirect
180. #107×D73C22semidirect
183. #103×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
189. #550×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #480×C73C22semidirect
193. #479×C73C22semidirect
195. #466×C73C22semidirect
196. #459×C73C22semidirect
198. #449×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. #416×C73C22semidirect
546. #11924015#41semidirect
883. #3309D73semidirect
902. C73#61456semidirect
923. #550C2×D73semidirect
958. #490C2×D73semidirect
970. #482C2×D73semidirect
974. #480C2×D73semidirect
978. #479C2×D73semidirect
994. #466C2×D73semidirect
1010. #459C2×D73semidirect
1018. #449C2×D73semidirect
1048. #440C2×D73semidirect
1056. #435C2×D73semidirect
1066. #417C2×D73semidirect
1068. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235382
#226235302
#226230142
#226228792
#226227042
#226226792
#226224702
#226224192
#226223262
#226220672
#226220432
#226219692
#226218342
#226217762
#226216412
#226214722
#226214292
#226206552
#226206282
#226206242
#226201072
#226200752
#226200662
#226200352
#226200332
#226200212
#226189412
#226187442
#226187272
#440×D732
C73×#33092
#6145673