Finite Group Databasebeta

← #33970942

Subgroups — #33970942

Order 18688.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623956C211yesmaximal, characteristic, complemented
2#22623421C211yesmaximal, characteristic, complemented
3#22622113C211yesmaximal, characteristic, complemented
4#22622099C211yesmaximal, characteristic, complemented
5#22622085C211yesmaximal, characteristic, complemented
6#22622071C211yesmaximal, characteristic, complemented
7#22622043C211yesmaximal, characteristic, complemented
8#22622015C211yesmaximal, characteristic, complemented
9#22621901C211yesmaximal, characteristic, complemented
10#22621509C211yesmaximal, characteristic, complemented
11#22621472C211yesmaximal, characteristic, complemented
12#22621468C211yesmaximal, characteristic, complemented
13#22621461C211yesmaximal, characteristic, complemented
14#22621443C211yesmaximal, characteristic, complemented
15#22621429C211yesmaximal, characteristic, complemented
16#22621418C211yesmaximal, characteristic, complemented
17#22621406C211yesmaximal, characteristic, complemented
18#22620969C211yesmaximal, characteristic, complemented
19#22620924C211yesmaximal, characteristic, complemented
20#22620767C211yesmaximal, characteristic, complemented
21#22620744C211yesmaximal, characteristic, complemented
22#22620722C211yesmaximal, characteristic, complemented
23#22620691C211yesmaximal, characteristic, complemented
24#22620080C211yesmaximal, characteristic, complemented
25#22620047C211yesmaximal, characteristic, complemented
26#22619184C211yesmaximal, characteristic, complemented
27#22619169C211yesmaximal, characteristic, complemented
28#22619151C211yesmaximal, characteristic, complemented
29#449×D73C211yesmaximal, characteristic, complemented
30#22618956C211yesmaximal, characteristic, complemented
31C73×#3309C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic, complemented
33C2×#41×D73C2211yescharacteristic, complemented
34C2×#14556620C2211yescharacteristic, complemented
35C2×#14556619C2211yescharacteristic, complemented
36C2×#14556616C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C2×#14556613C2211yescharacteristic, complemented
39C2×#14556611C2211yescharacteristic, complemented
40C2×SD16×D73C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic, complemented
42#17989300C2211yescharacteristic, complemented
43#17989292C2211yescharacteristic, complemented
44#17989290C2211yescharacteristic
45#17989288—21no—
46#17989255C2211yescharacteristic, complemented
47Q8×D292C2211yescharacteristic, complemented
48#17989244C2211yescharacteristic
49#17989244C2211yescharacteristic, complemented
50#17989242—21no—
51#17989242C2211yescharacteristic, complemented
52#17989234—21no—
53#17989234—21no—
54#17989234C2211yescharacteristic
55#17989234C2211yescharacteristic, complemented
56#17989233—21no—
57#17989233C2211yescharacteristic, complemented
58#17989232C2211yescharacteristic
59#17989229—21no—
60#17989222—21no—
61#17989222C2211yescharacteristic, complemented
62#17989221—21no—
63#17989221C2211yescharacteristic, complemented
64#17989189—21no—
65#17989176—21no—
66#17989174—21no—
67#17989135—21no—
68#17989135C2211yescharacteristic, complemented
69#17989134C2211yescharacteristic, complemented
70#17989122C2211yescharacteristic, complemented
71#17989099C2211yescharacteristic, complemented
72#17989097—21no—
73#17989097—21no—
74#17989097C2211yescharacteristic, complemented
75#17989097C2211yescharacteristic, complemented
76#17989097C2211yescharacteristic, complemented
77C2×#14556566C2211yescharacteristic, complemented
78#121×D73C2211yescharacteristic, complemented
79#17989059—21no—
80C4×#11924029C2211yescharacteristic, complemented
81C4×D4×D73—21no—
82C4×D4×D73C2211yescharacteristic
83#17988981C2211yescharacteristic, complemented
84#17988975C2211yescharacteristic, complemented
85#17988975C2211yescharacteristic, complemented
86#17988974C2211yescharacteristic, complemented
87#17988957C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988945C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988931C2211yescharacteristic, complemented
92#17988928C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988917C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988914C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988910C2211yescharacteristic, complemented
99#17988904C2211yescharacteristic, complemented
100#17988884C2211yescharacteristic, complemented
101#17988870C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988845C2211yescharacteristic, complemented
104#17988839C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988834C2211yescharacteristic, complemented
107#17988834C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988831C2211yescharacteristic, complemented
110#17988829C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988816C2211yescharacteristic, complemented
115#17988815C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988809C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988808C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988801C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic, complemented
123#17988793C2211yescharacteristic, complemented
124#17988792C2211yescharacteristic, complemented
125#17988785C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988779C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988750C2211yescharacteristic, complemented
134#17988749C2211yescharacteristic, complemented
135#17988744C2211yescharacteristic, complemented
136#17988740C2211yescharacteristic, complemented
137#17988739C2211yescharacteristic, complemented
138#17988739C2211yescharacteristic, complemented
139#17988735C2211yescharacteristic
140#17988735C2211yescharacteristic, complemented
141#17988734C2211yescharacteristic, complemented
142#17988733C2211yescharacteristic, complemented
143#17988733C2211yescharacteristic, complemented
144#17988733C2211yescharacteristic, complemented
145#17988733C2211yescharacteristic, complemented
146#17988732C2211yescharacteristic, complemented
147#17988731C2211yescharacteristic, complemented
148#17988730C2211yescharacteristic, complemented
149#17988730C2211yescharacteristic, complemented
150#17988730C2211yescharacteristic, complemented
151#17988729C2211yescharacteristic, complemented
152#17988729C2211yescharacteristic, complemented
153#17988729C2211yescharacteristic, complemented
154#17988727C2211yescharacteristic, complemented
155#17988727C2211yescharacteristic, complemented
156#17988727C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic, complemented
159#17988722C2211yescharacteristic, complemented
160#17988720C2211yescharacteristic, complemented
161#17988719C2211yescharacteristic, complemented
162#17988700C2211yescharacteristic, complemented
163#17988698C2211yescharacteristic, complemented
164#17988697C2211yescharacteristic, complemented
165#17988691C2211yescharacteristic, complemented
166#17988690C2211yescharacteristic, complemented
167#17988686C2211yescharacteristic, complemented
168#17988685C2211yescharacteristic, complemented
169#17988661C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174#17988656C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988643C2211yescharacteristic, complemented
177#17988642C2211yescharacteristic, complemented
178#17988594C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988586C2211yescharacteristic, complemented
181#17988581C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988550C2211yescharacteristic, complemented
185#17988549C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027C2311yescharacteristic
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215#41×D73—42no—
216#41×D73—42no—
217#41×D73—42no—
218#41×D73—42no—
219C2×Q8×D73C2311yescharacteristic
220C2×Q8×D73C2311yescharacteristic
221C22×D292—21no—
222C22×D292C2311yescharacteristic
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73D411yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C22×C4×D73—21no—
233C22×C4×D73—21no—
234C22×C4×D73C2311yescharacteristic
235C22×C4×D73C2311yescharacteristic
236#14556620—42no—
237#14556619—42no—
238#14556616—42no—
239#14556615—42no—
240#14556613—42no—
241#14556611—42no—
242C2×Dic292C2311yescharacteristic
243C2×Dic292C2311yescharacteristic
244C2×#11924018C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924017C2311yescharacteristic
249C2×#11924017C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924016C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924016C2311yescharacteristic
254C2×#11924015C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256SD16×D73—42no—
257C2×D584C2311yescharacteristic
258C2×D584C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924013C2311yescharacteristic
263C2×#11924013C2311yescharacteristic
264D8×D73—42no—
265C2×#11924012C2311yescharacteristic
266C2×#11924011C2311yescharacteristic
267C2×#11924011C2311yescharacteristic
268C22×#10596831C2311yescharacteristic
269C2×C8×D73C2311yescharacteristic
270C2×C8×D73C2311yescharacteristic
271#14556591—21no—
272#14556591C2311yescharacteristic
273#14556590C2311yescharacteristic
274#14556587—21no—
275#14556587C2311yescharacteristic
276#14556586—21no—
277#14556586—21no—
278#14556581—21no—
279#14556579—21no—
280#14556579C2311yescharacteristic
281#14556578—21no—
282#14556578—21no—
283#14556578C2311yescharacteristic
284#14556578C2311yescharacteristic
285#14556577—21no—
286#14556577—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556575—21no—
291#14556575—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556573—21no—
298#14556573—21no—
299#14556571—21no—
300#14556571—21no—
301#14556571C2311yescharacteristic
302#14556571C2311yescharacteristic
303#14556571C2311yescharacteristic
304#14556571C2311yescharacteristic
305#14556570—21no—
306#14556570—21no—
307#14556570—21no—
308#14556570C2311yescharacteristic
309#14556570C2311yescharacteristic
310#14556570C2311yescharacteristic
311#14556569—21no—
312#14556566—21no—
313#14556566—21no—
314#14556566—21no—
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556566C2311yescharacteristic
319#14556566C2311yescharacteristic
320#14556565—21no—
321#14556565C2311yescharacteristic
322#14556564—21no—
323#14556564—21no—
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556563—21no—
329#14556563—21no—
330#14556562—21no—
331#14556562—21no—
332#14556562—21no—
333#14556562—21no—
334#14556562—21no—
335#14556562—21no—
336#14556562—21no—
337#14556562—21no—
338#14556562C2311yescharacteristic
339#14556562C2311yescharacteristic
340#14556562C2311yescharacteristic
341#14556561—21no—
342#14556561—21no—
343#14556561—21no—
344#14556559—21no—
345#14556559—21no—
346#14556559—21no—
347#14556559—21no—
348#14556559—21no—
349#14556559—21no—
350#14556559—21no—
351#14556559—21no—
352#14556559—21no—
353Q8×Dic73C2311yescharacteristic
354#14556556C2311yescharacteristic
355C4×D292—21no—
356C4×D292—21no—
357C4×D292—21no—
358C4×D292—21no—
359C4×D292C2311yescharacteristic
360C4×D292C2311yescharacteristic
361C4×D292C2311yescharacteristic
362D4×Dic73—21no—
363D4×Dic73—21no—
364D4×Dic73—21no—
365D4×Dic73—21no—
366D4×Dic73—21no—
367D4×Dic73D411yescharacteristic
368#14556553—21no—
369#14556553—21no—
370#14556553—21no—
371#14556553D411yescharacteristic
372#14556553C2311yescharacteristic
373#14556553C2311yescharacteristic
374C4×C22⋊D73—21no—
375C4×C22⋊D73—21no—
376C4×C22⋊D73—21no—
377C4×C22⋊D73—21no—
378C4×C22⋊D73C2311yescharacteristic
379C4×C22⋊D73C2311yescharacteristic
380#14556551—21no—
381#14556551—21no—
382#14556551—21no—
383#14556551—21no—
384#14556551D411yescharacteristic
385#14556551D411yescharacteristic
386#14556549—21no—
387#14556549—21no—
388#14556549C2311yescharacteristic
389#14556549C2311yescharacteristic
390#14556548—21no—
391C4⋊C4×D73—21no—
392C4⋊C4×D73D411yescharacteristic
393C4⋊C4×D73C2311yescharacteristic
394C2×#11924005—21no—
395C2×#11924005—21no—
396C22⋊C4×D73—21no—
397C22⋊C4×D73—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73D411yescharacteristic
401C22⋊C4×D73D411yescharacteristic
402C42×D73—21no—
403C42×D73C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556523C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556502C2311yescharacteristic
445#14556501C2311yescharacteristic
446#14556501C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454#127×C73—21no—
455#127×C73C2311yescharacteristic
456#126×C73—21no—
457#125×C73C2311yescharacteristic
458#123×C73—21no—
459#121×C73—21no—
460#121×C73—21no—
461#121×C73—21no—
462#121×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466C4×Q8×C73C2311yescharacteristic
467C4×D4×C73—21no—
468C4×D4×C73—21no—
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471#117×C73C2311yescharacteristic
472C2×C4⋊C4×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×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×D73—21no—
493C23×D73—21no—
494C23×D73C2×D411yescharacteristic
495C23×D73C2×D411yescharacteristic
496#11924029—22no—
497#11924029—22no—
498#11924028—22no—
499#11924028—22no—
500#11924028—41no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—44no—
505#11924028—44no—
506#11924028—82no—
507#11924027—41no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—41no—
512#11924027—41no—
513#11924027—44no—
514#11924027—44no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521Q8×D73—22no—
522Q8×D73—22no—
523Q8×D73—41no—
524Q8×D73—41no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—41no—
533C2×D292—41no—
534C2×D292—82no—
535C2×D292C2×D411yescharacteristic
536C2×D292C2411yescharacteristic
537C2×D292C2411yescharacteristic
538C2×D292C2411yescharacteristic
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556D4×D73—22no—
557D4×D73—22no—
558D4×D73—41no—
559D4×D73—41no—
560D4×D73—41no—
561D4×D73—41no—
562D4×D73—42no—
563D4×D73—44no—
564D4×D73—44no—
565D4×D73—44no—
566D4×D73—44no—
567D4×D73—82no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73C2×D411yescharacteristic
572C22×Dic73C2×D411yescharacteristic
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—41no—
585C2×C4×D73—41no—
586C2×C4×D73—41no—
587C2×C4×D73—41no—
588C2×C4×D73—44no—
589C2×C4×D73—44no—
590C2×C4×D73C2×D411yescharacteristic
591C2×C4×D73C2×D411yescharacteristic
592C2×C4×D73C2×D411yescharacteristic
593C2×C4×D73C2×D411yescharacteristic
594C2×C4×D73C2×D411yescharacteristic
595C2×C4×D73C2×D411yescharacteristic
596C2×C4×D73C2411yescharacteristic
597C2×C4×D73C2411yescharacteristic
598C2×C4×D73C2411yescharacteristic
599Dic292—41no—
600Dic292—41no—
601#11924018—22no—
602#11924017—22no—
603#11924017—41no—
604#11924017—41no—
605#11924017—41no—
606#11924017—41no—
607#11924016—41no—
608#11924016—41no—
609#11924016—41no—
610#11924016—41no—
611#11924015—22no—
612#11924015—22no—
613D584—22no—
614D584—22no—
615#11924013—22no—
616#11924013—41no—
617#11924013—41no—
618#11924013—41no—
619#11924013—41no—
620#11924012—41no—
621#11924011—41no—
622#11924011—41no—
623C2×#10596831—41no—
624C2×#10596831C2411yescharacteristic
625C2×#10596831C2411yescharacteristic
626C2×#10596831C2411yescharacteristic
627C2×#10596831C2411yescharacteristic
628C8×D73—41no—
629C8×D73—41no—
630C4⋊Dic73—21no—
631C4⋊Dic73—21no—
632C4⋊Dic73—21no—
633C4⋊Dic73—21no—
634C4⋊Dic73—21no—
635C4⋊Dic73—21no—
636C4⋊Dic73—21no—
637C4⋊Dic73C2×D411yescharacteristic
638C4⋊Dic73C2411yescharacteristic
639C4⋊Dic73C2411yescharacteristic
640#11924007—21no—
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007C2×D411yescharacteristic
647#11924007C2×D411yescharacteristic
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657C22⋊Dic73—21no—
658C22⋊Dic73C2×D411yescharacteristic
659C22⋊Dic73C2×D411yescharacteristic
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005—21no—
678#11924005C2×D411yescharacteristic
679#11924005C2×D411yescharacteristic
680#11924005C2×D411yescharacteristic
681#11924005C2×D411yescharacteristic
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73—21no—
685C4×Dic73—21no—
686C4×Dic73C2×D411yescharacteristic
687C4×Dic73C2×D411yescharacteristic
688C4×Dic73C2411yescharacteristic
689#41×C73—22no—
690#41×C73—22no—
691#41×C73—41no—
692#41×C73—41no—
693C2×Q8×C73C2411yescharacteristic
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—21no—
700C2×D4×C73—21no—
701C2×D4×C73—21no—
702C2×D4×C73C2×D411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C2×D4×C73C2411yescharacteristic
705C2×D4×C73C2411yescharacteristic
706C22×C4×C73—21no—
707C22×C4×C73—21no—
708C22×C4×C73—21no—
709C22×C4×C73—21no—
710C22×C4×C73C2411yescharacteristic
711C22×C4×C73C2411yescharacteristic
712SD16×C73—22no—
713D8×C73—41no—
714D8×C73—41no—
715M16×C73—41no—
716C2×C8×C73—41no—
717C2×C8×C73C2411yescharacteristic
718C2×C8×C73C2411yescharacteristic
719C2×C8×C73C2411yescharacteristic
720C2×C8×C73C2411yescharacteristic
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73—21no—
725C4⋊C4×C73C2×D411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C4⋊C4×C73C2411yescharacteristic
729C4⋊C4×C73C2411yescharacteristic
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73C2×D411yescharacteristic
737C22⋊C4×C73C2×D411yescharacteristic
738C42×C73—21no—
739C42×C73—21no—
740C42×C73C2411yescharacteristic
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73C22×D411yescharacteristic
745C23×C73C22×D411yescharacteristic
746C22×D73—21no—
747C22×D73—22no—
748C22×D73—21no—
749C22×D73—21no—
750C22×D73—41no—
751C22×D73—41no—
752C22×D73—41no—
753C22×D73—41no—
754C22×D73—41no—
755C22×D73—42no—
756C22×D73—42no—
757C22×D73—42no—
758C22×D73—42no—
759C22×D73—42no—
760C22×D73—42no—
761C22×D73—81no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73—81no—
766C22×D73—81no—
767C22×D73C22×D411yescharacteristic
768C22×D73C22×D411yescharacteristic
769C22×D73C22×D411yescharacteristic
770Q8×C73—21no—
771Q8×C73H(5,𝔽2)12yes—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—21no—
776D4×C73—21no—
777D4×C73—21no—
778D4×C73—41no—
779D4×C73—42no—
780D4×C73—42no—
781D4×C73—42no—
782D4×C73—42no—
783D4×C73—81no—
784D4×C73—81no—
785D4×C73—81no—
786D4×C73—81no—
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—21no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—42no—
797C2×C4×C73—42no—
798C2×C4×C73—81no—
799C2×C4×C73—81no—
800C2×C4×C73C22×D411yescharacteristic
801C2×C4×C73C22×D411yescharacteristic
802C2×C4×C73C22×D411yescharacteristic
803C2×C4×C73C22×D411yescharacteristic
804C2×C4×C73C2511yescharacteristic
805C22⋊D73—22no—
806C22⋊D73—41no—
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—42no—
816C22⋊D73—42no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C22⋊D73—81no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—21no—
825C2×Dic73—21no—
826C2×Dic73—21no—
827C2×Dic73—41no—
828C2×Dic73—41no—
829C2×Dic73—42no—
830C2×Dic73—42no—
831C2×Dic73—81no—
832C2×Dic73C22×D411yescharacteristic
833C2×Dic73C22×D411yescharacteristic
834C2×Dic73C22×D411yescharacteristic
835C2×Dic73C22×D411yescharacteristic
836C2×Dic73C22×D411yescharacteristic
837D292—24no—
838D292—22no—
839D292—21no—
840D292—21no—
841D292—21no—
842D292—21no—
843D292—21no—
844D292—42no—
845D292—42no—
846D292—42no—
847D292—81no—
848D292—81no—
849D292—81no—
850D292H(5,𝔽2)12yes—
851C4×D73—24no—
852C4×D73—21no—
853C4×D73—21no—
854C4×D73—21no—
855C4×D73—21no—
856C4×D73—21no—
857C4×D73—21no—
858C4×D73—41no—
859C4×D73—41no—
860C4×D73—41no—
861C4×D73—41no—
862C4×D73—41no—
863C4×D73—41no—
864C4×D73—42no—
865C4×D73—42no—
866C4×D73—42no—
867C4×D73—42no—
868C4×D73—42no—
869C4×D73—42no—
870C4×D73—81no—
871C4×D73—81no—
872C4×D73—81no—
873C4×D73—81no—
874Dic146—21no—
875Dic146—21no—
876Dic146—21no—
877Dic146—21no—
878Dic146—21no—
879Dic146—21no—
880Dic146—42no—
881Dic146—42no—
882Dic146—81no—
883C8×C73—21no—
884C8×C73—21no—
885C8×C73—21no—
886C8×C73—21no—
887#10596831—21no—
888#10596831—21no—
889#10596831—21no—
890#10596831—21no—
891C22×C73—21no—
892C22×C73—21no—
893C22×C73—21no—
894C22×C73—21no—
895C22×C73—21no—
896C22×C73—21no—
897C22×C73—41no—
898C22×C73—41no—
899C22×C73—41no—
900C22×C73—41no—
901C22×C73—41no—
902C22×C73—41no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73C23×D411yescharacteristic
907C2×D73—21no—
908C2×D73—21no—
909C2×D73—21no—
910C2×D73—21no—
911C2×D73—21no—
912C2×D73—21no—
913C2×D73—22no—
914C2×D73—21no—
915C2×D73—21no—
916C2×D73—41no—
917C2×D73—41no—
918C2×D73—41no—
919C2×D73—41no—
920C2×D73—41no—
921C2×D73—41no—
922C2×D73—41no—
923C2×D73—41no—
924C2×D73—82no—
925C2×D73—84no—
926C2×D73—82no—
927C2×D73—84no—
928C2×D73—162no—
929C2×D73—162no—
930C2×D73#57512yes—
931C4×C73—21no—
932C4×C73—22no—
933C4×C73—21no—
934C4×C73—21no—
935C4×C73—21no—
936C4×C73—41no—
937C4×C73—41no—
938C4×C73—41no—
939C4×C73—41no—
940C4×C73C2×H(5,𝔽2)11yescharacteristic
941C4×C73C2×H(5,𝔽2)11yescharacteristic
942Dic73—21no—
943Dic73—21no—
944Dic73—21no—
945Dic73—21no—
946Dic73—21no—
947Dic73—41no—
948Dic73—41no—
949Dic73—41no—
950Dic73—41no—
951Dic73—41no—
952#61579—731nomaximal, Sylow
953C2×C73—41no—
954C2×C73—41no—
955C2×C73—81no—
956C2×C73—81no—
957C2×C73—81no—
958C2×C73#348411yescharacteristic
959C2×C73C2×#57511yescharacteristic
960C2×C73#358511yescharacteristic
961D73—22no—
962D73—41no—
963D73—41no—
964D73—42no—
965D73—81no—
966D73—81no—
967#3519—731no—
968D4×#41—731no—
969#3321—731no—
970#3320—731no—
971#3319—731no—
972#3318—731no—
973#3316—731no—
974#3314—731no—
975#3309D7311yescharacteristic, complemented
976#3307—731no—
977#3271—731no—
978#3268—731no—
979#3268—731no—
980#3267—731no—
981#3266—731no—
982#3265—731no—
983#3264—731no—
984#3264—731no—
985#3219—731no—
986#3214—731no—
987#3197—731no—
988#3194—731no—
989#3191—731no—
990#3188—731no—
991#3115—731no—
992#3111—731no—
993#3006—731no—
994#3005—731no—
995#3002—731no—
996C2×#449—731no—
997#2973—731no—
998C73#6157911yescharacteristic, complemented, Sylow
999C22×#41—731no—
1000C22×#41—731no—
1001C2×#137—731no—
1002C2×AGL(1,ℤ/8)—731no—
1003C2×AGL(1,ℤ/8)—731no—
1004C2×AGL(1,ℤ/8)—731no—
1005C2×#135—731no—
1006C2×#135—731no—
1007C22×SD16—731no—
1008C22×D8—731no—
1009#555—731no—
1010#554—731no—
1011#553—731no—
1012#553—1461no—
1013#553C2×D7311yescharacteristic, complemented
1014#550—731no—
1015#550C2×D7311yescharacteristic, complemented
1016D4×Q8—731no—
1017#548—731no—
1018#548—731no—
1019#547—731no—
1020#547—1461no—
1021#546—731no—
1022#546—731no—
1023#546—731no—
1024#546—731no—
1025#546—1461no—
1026#546—1461no—
1027#546—1461no—
1028#546—1461no—
1029D42—731no—
1030D42—731no—
1031D42—1461no—
1032D42—1461no—
1033#540—1461no—
1034#538—1461no—
1035#538—1461no—
1036#532—731no—
1037#532—731no—
1038#532—1461no—
1039#529—731no—
1040#525—731no—
1041#525—731no—
1042#525—731no—
1043#525—731no—
1044#525—1461no—
1045#525—1461no—
1046C2×#121—731no—
1047C2×#121—731no—
1048#518—1461no—
1049C4×#41—731no—
1050C2×C4×D4—731no—
1051C2×C4×D4—1461no—
1052#497—731no—
1053#496—731no—
1054#496—731no—
1055#496—731no—
1056#491—731no—
1057#490C2×D7311yescharacteristic, complemented
1058#489—731no—
1059#489—731no—
1060#485—731no—
1061#485—731no—
1062#485—731no—
1063#484—731no—
1064#483—731no—
1065#482—731no—
1066#482—731no—
1067#482—731no—
1068#482—731no—
1069#482C2×D7311yescharacteristic, complemented
1070#481—731no—
1071#480C2×D7311yescharacteristic, complemented
1072#479C2×D7311yescharacteristic, complemented
1073#478—731no—
1074#475—731no—
1075#474—731no—
1076#470—731no—
1077#469—731no—
1078#469—731no—
1079#469C2×D7311yescharacteristic, complemented
1080#468—731no—
1081#468—731no—
1082#468—731no—
1083#468—731no—
1084#467—731no—
1085#466—731no—
1086#466—731no—
1087#466C2×D7311yescharacteristic, complemented
1088#465—731no—
1089#465—731no—
1090#465—731no—
1091#465—731no—
1092#464—731no—
1093#464—731no—
1094#464—731no—
1095#463—731no—
1096#463—731no—
1097#463—731no—
1098#461—731no—
1099#461—731no—
1100#460—731no—
1101#459—731no—
1102#459—731no—
1103#459C2×D7311yescharacteristic, complemented
1104#452—731no—
1105#452—731no—
1106#452—731no—
1107#452—731no—
1108#452—731no—
1109#452—731no—
1110#452—731no—
1111#451—731no—
1112#450—731no—
1113#450—731no—
1114#450—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#449—731no—
1120#449—731no—
1121#449—731no—
1122#449—731no—
1123#449—731no—
1124#449—731no—
1125#449—731no—
1126#449—731no—
1127#449—731no—
1128#449—731no—
1129#449—731no—
1130#449C2×D7311yescharacteristic, complemented
1131#449C2×D7311yescharacteristic, complemented
1132#448—731no—
1133#448—731no—
1134#448—731no—
1135#447—731no—
1136#447—731no—
1137#447—731no—
1138#447—731no—
1139#447—731no—
1140#442—731no—
1141#442—731no—
1142#442—731no—
1143#441—731no—
1144#440—731no—
1145#440—731no—
1146#440—731no—
1147#440C2×D7311yescharacteristic, complemented
1148#435—731no—
1149#435—731no—
1150#435—731no—
1151#435—731no—
1152#435—731no—
1153#435—731no—
1154#435—731no—
1155#435C2×D7311yescharacteristic, complemented
1156#432—731no—
1157#432—731no—
1158#419—731no—
1159#418—731no—
1160#417—731no—
1161#417C2×D7311yescharacteristic, complemented
1162#416—731no—
1163#416C2×D7311yescharacteristic, complemented
1164C2×#103—731no—
1165C2×#102—731no—
1166#407—731no—
1167#407—731no—
1168C2×C22⋊C8—731no—
1169C2×C22⋊C8—731no—
1170C2×#41—2922no—
1171C2×#41—2922no—
1172C2×#41—2922no—
1173C2×#41—2922no—
1174C2×#41—731no—
1175C2×#41—731no—
1176C2×#41—731no—
1177C2×#41—731no—
1178C2×#41—731no—
1179C2×#41—731no—
1180C2×#41—731no—
1181C2×#41—1461no—
1182C2×#41—1461no—
1183C2×#41—1461no—
1184C2×#41—1461no—
1185C2×#41—1461no—
1186C2×#41C22×D7311yescharacteristic
1187C2×#41C22×D7311yescharacteristic
1188C22×Q8—731no—
1189C22×Q8—731no—
1190C22×D4—731no—
1191C22×D4—731no—
1192C22×D4—731no—
1193C22×D4—731no—
1194C22×D4—731no—
1195C22×D4—1461no—
1196C22×D4—1461no—
1197C22×D4—1461no—
1198C22×D4—1461no—
1199C22×D4—1461no—
1200C22×D4—1461no—
1201C23×C4—731no—
1202C23×C4—731no—
1203C23×C4—1461no—
1204C23×C4—1461no—
1205#137—2922no—
1206AGL(1,ℤ/8)—2922no—
1207AGL(1,ℤ/8)—2922no—
1208AGL(1,ℤ/8)—2922no—
1209#135—2922no—
1210#135—2922no—
1211C2×Q16—731no—
1212C2×Q16—731no—
1213C2×Q16—731no—
1214C2×SD16—2922no—
1215C2×SD16—731no—
1216C2×SD16—731no—
1217C2×SD16—731no—
1218C2×SD16—731no—
1219C2×SD16—731no—
1220C2×SD16—731no—
1221C2×SD16—731no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16C22×D7311yescharacteristic
1227C2×D8—2922no—
1228C2×D8—731no—
1229C2×D8—731no—
1230C2×D8—731no—
1231C2×D8—731no—
1232C2×D8—731no—
1233C2×D8—731no—
1234C2×D8—731no—
1235C2×D8C22×D7311yescharacteristic
1236C2×D8C22×D7311yescharacteristic
1237C2×M16—731no—
1238C2×M16—731no—
1239C2×M16—731no—
1240C2×M16C22×D7311yescharacteristic
1241C22×C8—731no—
1242C22×C8—731no—
1243C22×C8—731no—
1244C22×C8C22×D7311yescharacteristic
1245C4⋊Q8—731no—
1246C4⋊Q8—731no—
1247C4⋊Q8—1461no—
1248#127—21no—
1249#127—731no—
1250#127—1461no—
1251#127C22×D7311yescharacteristic
1252#126—21no—
1253#126—1461no—
1254#126—1461no—
1255#125—1461no—
1256#125C22×D7311yescharacteristic
1257#124—731no—
1258#124—731no—
1259#124—731no—
1260#124—1461no—
1261#124—1461no—
1262#124—1461no—
1263#124—1461no—
1264#124—1461no—
1265#123—21no—
1266#123—1461no—
1267#123—1461no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275#123—1461no—
1276#123—1461no—
1277#123—1461no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—731no—
1283C22⋊Q8—731no—
1284C22⋊Q8—731no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—731no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—1461no—
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#121C22×D7311yescharacteristic
1324#121C22×D7311yescharacteristic
1325#121C22×D7311yescharacteristic
1326#121C22×D7311yescharacteristic
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330#120—1461no—
1331#120—1461no—
1332#120—1461no—
1333#120—1461no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339C4×Q8—731no—
1340C4×Q8—731no—
1341C4×Q8C22×D7311yescharacteristic
1342C4×D4—21no—
1343C4×D4—21no—
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
1351C4×D4—731no—
1352C4×D4—731no—
1353C4×D4—731no—
1354C4×D4—731no—
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×D4—1461no—
1365C4×D4—1461no—
1366C4×D4—1461no—
1367C4×D4—1461no—
1368C4×D4—1461no—
1369C4×D4—1461no—
1370C4×D4—1461no—
1371C4×D4—1461no—
1372C4×D4—1461no—
1373C4×D4—1461no—
1374C4×D4—1461no—
1375C4×D4C22×D7311yescharacteristic
1376C4×D4C22×D7311yescharacteristic
1377#117—731no—
1378#117—731no—
1379#117—1461no—
1380#117—1461no—
1381#117—1461no—
1382#117C22×D7311yescharacteristic
1383C2×C4⋊C4—731no—
1384C2×C4⋊C4—731no—
1385C2×C4⋊C4—1461no—
1386C2×C4⋊C4C22×D7311yescharacteristic
1387C2×C22⋊C4—731no—
1388C2×C22⋊C4—731no—
1389C2×C22⋊C4—1461no—
1390C2×C22⋊C4—1461no—
1391C2×C22⋊C4—1461no—
1392C2×C22⋊C4—1461no—
1393C2×C22⋊C4—1461no—
1394C2×C22⋊C4—1461no—
1395C2×C42—731no—
1396C2×C42—1461no—
1397#107—731no—
1398#107—731no—
1399#107C22×D7311yescharacteristic
1400#107C22×D7311yescharacteristic
1401#106—731no—
1402#106—731no—
1403#106—731no—
1404#106C22×D7311yescharacteristic
1405C4⋊C8—731no—
1406C4⋊C8—731no—
1407C4⋊C8—731no—
1408C4⋊C8C22×D7311yescharacteristic
1409#103—731no—
1410#103—731no—
1411#103—731no—
1412#103—731no—
1413#103—731no—
1414#103—731no—
1415#103—731no—
1416#103—731no—
1417#103—731no—
1418#103—731no—
1419#103—731no—
1420#103C22×D7311yescharacteristic
1421#103C22×D7311yescharacteristic
1422#103C22×D7311yescharacteristic
1423#102—731no—
1424#102—731no—
1425#102—731no—
1426#102—731no—
1427#102—731no—
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102C22×D7311yescharacteristic
1435#102C22×D7311yescharacteristic
1436#102C22×D7311yescharacteristic
1437#102C22×D7311yescharacteristic
1438#102C22×D7311yescharacteristic
1439#102C22×D7311yescharacteristic
1440#102C22×D7311yescharacteristic
1441C22⋊C8—731no—
1442C22⋊C8—731no—
1443C22⋊C8—731no—
1444C22⋊C8—731no—
1445C22⋊C8—731no—
1446C22⋊C8—731no—
1447C22⋊C8—731no—
1448C22⋊C8—731no—
1449C22⋊C8—731no—
1450C22⋊C8—731no—
1451C22⋊C8C22×D7311yescharacteristic
1452C22⋊C8C22×D7311yescharacteristic
1453#97—731no—
1454#97—731no—
1455#97—731no—
1456#97C22×D7311yescharacteristic
1457C24—731no—
1458C24—731no—
1459C24—1461no—
1460C24—1461no—
1461C24—1461no—
1462C24—1461no—
1463#41—22no—
1464#41—22no—
1465#41—41no—
1466#41—41no—
1467#41—2921no—
1468#41—2921no—
1469#41—2921no—
1470#41—2921no—
1471#41—2924no—
1472#41—2924no—
1473#41—2921no—
1474#41—2921no—
1475#41—2921no—
1476#41—2921no—
1477#41—2924no—
1478#41—2924no—
1479#41—2921no—
1480#41—2921no—
1481#41—5842no—
1482#41—1462no—
1483#41—1462no—
1484#41—1462no—
1485#41—1462no—
1486C2×Q8—2921no—
1487C2×Q8—2921no—
1488C2×Q8—731no—
1489C2×Q8—731no—
1490C2×Q8—731no—
1491C2×Q8—1461no—
1492C2×Q8—1461no—
1493C2×Q8—1461no—
1494C2×Q8—1462no—
1495C2×Q8—1462no—
1496C2×Q8C23×D7311yescharacteristic
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—2921no—
1506C2×D4—2921no—
1507C2×D4—2924no—
1508C2×D4—2924no—
1509C2×D4—2924no—
1510C2×D4—2924no—
1511C2×D4—2922no—
1512C2×D4—2921no—
1513C2×D4—2921no—
1514C2×D4—2921no—
1515C2×D4—2921no—
1516C2×D4—5842no—
1517C2×D4—5842no—
1518C2×D4—731no—
1519C2×D4—731no—
1520C2×D4—731no—
1521C2×D4—731no—
1522C2×D4—731no—
1523C2×D4—731no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4—1461no—
1533C2×D4—1461no—
1534C2×D4—1461no—
1535C2×D4—1462no—
1536C2×D4—1462no—
1537C2×D4—1461no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1461no—
1547C2×D4—1461no—
1548C2×D4D4×D7311yescharacteristic
1549C2×D4C23×D7311yescharacteristic
1550C2×D4C23×D7311yescharacteristic
1551C2×D4C23×D7311yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—2921no—
1557C22×C4—2921no—
1558C22×C4—2921no—
1559C22×C4—2921no—
1560C22×C4—2924no—
1561C22×C4—2924no—
1562C22×C4—731no—
1563C22×C4—731no—
1564C22×C4—731no—
1565C22×C4—731no—
1566C22×C4—731no—
1567C22×C4—731no—
1568C22×C4—731no—
1569C22×C4—731no—
1570C22×C4—731no—
1571C22×C4—731no—
1572C22×C4—731no—
1573C22×C4—1461no—
1574C22×C4—1461no—
1575C22×C4—1461no—
1576C22×C4—1461no—
1577C22×C4—1461no—
1578C22×C4—1461no—
1579C22×C4—1461no—
1580C22×C4—1461no—
1581C22×C4—1461no—
1582C22×C4—1461no—
1583C22×C4—1461no—
1584C22×C4—1461no—
1585C22×C4—1461no—
1586C22×C4—1461no—
1587C22×C4C23×D7311yescharacteristic
1588C22×C4C23×D7311yescharacteristic
1589Q16—2921no—
1590Q16—2921no—
1591Q16—1462no—
1592SD16—22no—
1593SD16—2921no—
1594SD16—2921no—
1595SD16—2921no—
1596SD16—2921no—
1597SD16—2921no—
1598SD16—2921no—
1599SD16—2921no—
1600SD16—2921no—
1601SD16—1462no—
1602SD16—1462no—
1603SD16—1462no—
1604D8—41no—
1605D8—41no—
1606D8—2921no—
1607D8—2921no—
1608D8—2921no—
1609D8—2921no—
1610D8—1462no—
1611D8—1462no—
1612D8—1462no—
1613M16—41no—
1614M16—2921no—
1615M16—2921no—
1616M16—2921no—
1617C2×C8—41no—
1618C2×C8—2921no—
1619C2×C8—2921no—
1620C2×C8—2921no—
1621C2×C8—731no—
1622C2×C8—731no—
1623C2×C8—731no—
1624C2×C8—731no—
1625C2×C8C23×D7311yescharacteristic
1626C2×C8C23×D7311yescharacteristic
1627C2×C8C23×D7311yescharacteristic
1628C2×C8C23×D7311yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—731no—
1634C4⋊C4—731no—
1635C4⋊C4—731no—
1636C4⋊C4—731no—
1637C4⋊C4—731no—
1638C4⋊C4—1461no—
1639C4⋊C4—1461no—
1640C4⋊C4—1461no—
1641C4⋊C4—1461no—
1642C4⋊C4—1461no—
1643C4⋊C4—1461no—
1644C4⋊C4—1461no—
1645C4⋊C4—1461no—
1646C4⋊C4—1461no—
1647C4⋊C4—1461no—
1648C4⋊C4—1461no—
1649C4⋊C4—1461no—
1650C4⋊C4—1461no—
1651C4⋊C4D4×D7311yescharacteristic
1652C4⋊C4C23×D7311yescharacteristic
1653C4⋊C4C23×D7311yescharacteristic
1654C4⋊C4C23×D7311yescharacteristic
1655C4⋊C4C23×D7311yescharacteristic
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—731no—
1663C22⋊C4—731no—
1664C22⋊C4—731no—
1665C22⋊C4—731no—
1666C22⋊C4—731no—
1667C22⋊C4—731no—
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⋊C4—1461no—
1679C22⋊C4—1461no—
1680C22⋊C4—1461no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4D4×D7311yescharacteristic
1697C22⋊C4D4×D7311yescharacteristic
1698C42—21no—
1699C42—21no—
1700C42—731no—
1701C42—731no—
1702C42—731no—
1703C42—1461no—
1704C42—1461no—
1705C42—1461no—
1706C42—1461no—
1707C42C23×D7311yescharacteristic
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—2922no—
1712C23—2921no—
1713C23—2921no—
1714C23—2921no—
1715C23—2921no—
1716C23—2921no—
1717C23—2922no—
1718C23—2922no—
1719C23—2922no—
1720C23—2922no—
1721C23—2922no—
1722C23—5841no—
1723C23—5841no—
1724C23—5841no—
1725C23—5841no—
1726C23—5841no—
1727C23—5841no—
1728C23—731no—
1729C23—731no—
1730C23—731no—
1731C23—1462no—
1732C23—1461no—
1733C23—1461no—
1734C23—1461no—
1735C23C2×D4×D7311yescharacteristic
1736C23C2×D4×D7311yescharacteristic
1737Q8—21no—
1738Q8—2922no—
1739Q8—2922no—
1740Q8—5841no—
1741Q8—1461no—
1742Q8—1461no—
1743Q8—1461no—
1744Q8—1461no—
1745Q8—1461no—
1746Q8—1461no—
1747Q8#1455663712yes—
1748D4—21no—
1749D4—21no—
1750D4—21no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—41no—
1755D4—42no—
1756D4—42no—
1757D4—42no—
1758D4—42no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—2922no—
1764D4—2922no—
1765D4—2922no—
1766D4—2922no—
1767D4—2922no—
1768D4—2922no—
1769D4—2922no—
1770D4—2922no—
1771D4—2922no—
1772D4—2922no—
1773D4—2921no—
1774D4—2922no—
1775D4—2922no—
1776D4—2922no—
1777D4—5841no—
1778D4—5841no—
1779D4—5841no—
1780D4—5841no—
1781D4—5841no—
1782D4—5841no—
1783D4—5841no—
1784D4—5841no—
1785D4—732no—
1786D4—1462no—
1787D4—1464no—
1788D4—1462no—
1789D4—1461no—
1790D4—1461no—
1791D4—1461no—
1792D4—1461no—
1793D4—1461no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—42no—
1804C2×C4—42no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—2922no—
1808C2×C4—2922no—
1809C2×C4—2922no—
1810C2×C4—2922no—
1811C2×C4—2922no—
1812C2×C4—2921no—
1813C2×C4—2921no—
1814C2×C4—2921no—
1815C2×C4—2921no—
1816C2×C4—2921no—
1817C2×C4—2921no—
1818C2×C4—2922no—
1819C2×C4—2922no—
1820C2×C4—2922no—
1821C2×C4—2921no—
1822C2×C4—2921no—
1823C2×C4—5841no—
1824C2×C4—5841no—
1825C2×C4—5841no—
1826C2×C4—5841no—
1827C2×C4—5841no—
1828C2×C4—731no—
1829C2×C4—731no—
1830C2×C4—731no—
1831C2×C4—731no—
1832C2×C4—731no—
1833C2×C4—1464no—
1834C2×C4—1461no—
1835C2×C4—1461no—
1836C2×C4—1461no—
1837C2×C4—1461no—
1838C2×C4—1461no—
1839C2×C4—1461no—
1840C2×C4—1461no—
1841C2×C4—1461no—
1842C2×C4—1461no—
1843C2×C4—1461no—
1844C2×C4—1461no—
1845C2×C4C2×D4×D7311yescharacteristic
1846C2×C4C2×D4×D7311yescharacteristic
1847C2×C4C2×D4×D7311yescharacteristic
1848C2×C4C2×D4×D7311yescharacteristic
1849C2×C4C24×D7311yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—1461no—
1855C8—1461no—
1856C8—1461no—
1857C8—1461no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—2921no—
1874C22—2921no—
1875C22—2921no—
1876C22—2921no—
1877C22—2921no—
1878C22—2921no—
1879C22—2921no—
1880C22—2921no—
1881C22—5842no—
1882C22—5842no—
1883C22—5844no—
1884C22—5844no—
1885C22—732no—
1886C22—11682no—
1887C22—11682no—
1888C22—1461no—
1889C22—1462no—
1890C22—1461no—
1891C22—1461no—
1892C22—1461no—
1893C22—1461no—
1894C22—1461no—
1895C22—1461no—
1896C22—1461no—
1897C22C22×D4×D7311yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—22no—
1901C4—21no—
1902C4—21no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—2921no—
1908C4—2921no—
1909C4—2921no—
1910C4—2921no—
1911C4—2921no—
1912C4—1461no—
1913C4—1461no—
1914C4—1461no—
1915C4—1461no—
1916C4—1461no—
1917C4H(5,𝔽2)×D7311yescharacteristic
1918C4C2×#1455663711yescharacteristic
1919C2—41no—
1920C2—41no—
1921C2—81no—
1922C2—81no—
1923C2—81no—
1924C2—2922no—
1925C2—2921no—
1926C2—2921no—
1927C2—5841no—
1928C2—5841no—
1929C2—1462no—
1930C2#2262356111yescharacteristic
1931C2#575×D7311yescharacteristic
1932C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3309C2
socleC22×C73C23×D4
hypercenter#3309D73
hypocenterC73#61579
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. #22623956C2semidirect
2. #22623421C2semidirect
3. #22622113C2semidirect
4. #22622099C2semidirect
5. #22622085C2semidirect
6. #22622071C2semidirect
7. #22622043C2semidirect
8. #22622015C2semidirect
9. #22621901C2semidirect
10. #22621509C2semidirect
11. #22621472C2semidirect
12. #22621468C2semidirect
13. #22621461C2semidirect
14. #22621443C2semidirect
15. #22621429C2semidirect
16. #22621418C2semidirect
17. #22621406C2semidirect
18. #22620969C2semidirect
19. #22620924C2semidirect
20. #22620767C2semidirect
21. #22620744C2semidirect
22. #22620722C2semidirect
23. #22620691C2semidirect
24. #22620080C2semidirect
25. #22620047C2semidirect
26. #22619184C2semidirect
27. #22619169C2semidirect
28. #22619151C2semidirect
29. #449×D73C2semidirect
30. #22618956C2semidirect
31. C73×#3309C2semidirect
32. C2×#41×D73C22semidirect
33. C2×#41×D73C22semidirect
34. C2×#14556620C22semidirect
35. C2×#14556619C22semidirect
36. C2×#14556616C22semidirect
37. C2×#14556615C22semidirect
38. C2×#14556613C22semidirect
39. C2×#14556611C22semidirect
40. C2×SD16×D73C22semidirect
41. C2×D8×D73C22semidirect
42. #17989300C22semidirect
43. #17989292C22semidirect
46. #17989255C22semidirect
47. Q8×D292C22semidirect
49. #17989244C22semidirect
51. #17989242C22semidirect
55. #17989234C22semidirect
57. #17989233C22semidirect
61. #17989222C22semidirect
63. #17989221C22semidirect
68. #17989135C22semidirect
69. #17989134C22semidirect
70. #17989122C22semidirect
71. #17989099C22semidirect
74. #17989097C22semidirect
75. #17989097C22semidirect
76. #17989097C22semidirect
77. C2×#14556566C22semidirect
78. #121×D73C22semidirect
80. C4×#11924029C22semidirect
83. #17988981C22semidirect
84. #17988975C22semidirect
85. #17988975C22semidirect
86. #17988974C22semidirect
87. #17988957C22semidirect
88. #17988945C22semidirect
89. #17988945C22semidirect
90. #17988931C22semidirect
91. #17988931C22semidirect
92. #17988928C22semidirect
93. #17988924C22semidirect
94. #17988917C22semidirect
95. #17988914C22semidirect
96. #17988914C22semidirect
97. #17988910C22semidirect
98. #17988910C22semidirect
99. #17988904C22semidirect
100. #17988884C22semidirect
101. #17988870C22semidirect
102. #17988866C22semidirect
103. #17988845C22semidirect
104. #17988839C22semidirect
105. #17988839C22semidirect
106. #17988834C22semidirect
107. #17988834C22semidirect
108. #17988831C22semidirect
109. #17988831C22semidirect
110. #17988829C22semidirect
111. #17988822C22semidirect
112. #17988821C22semidirect
113. #17988817C22semidirect
114. #17988816C22semidirect
115. #17988815C22semidirect
116. #17988814C22semidirect
117. #17988809C22semidirect
118. #17988808C22semidirect
119. #17988808C22semidirect
120. #17988803C22semidirect
121. #17988801C22semidirect
122. #17988801C22semidirect
123. #17988793C22semidirect
124. #17988792C22semidirect
125. #17988785C22semidirect
126. #17988781C22semidirect
127. #17988779C22semidirect
128. #17988752C22semidirect
129. #17988751C22semidirect
130. #17988751C22semidirect
131. #17988750C22semidirect
132. #17988750C22semidirect
133. #17988750C22semidirect
134. #17988749C22semidirect
135. #17988744C22semidirect
136. #17988740C22semidirect
137. #17988739C22semidirect
138. #17988739C22semidirect
140. #17988735C22semidirect
141. #17988734C22semidirect
142. #17988733C22semidirect
143. #17988733C22semidirect
144. #17988733C22semidirect
145. #17988733C22semidirect
146. #17988732C22semidirect
147. #17988731C22semidirect
148. #17988730C22semidirect
149. #17988730C22semidirect
150. #17988730C22semidirect
151. #17988729C22semidirect
152. #17988729C22semidirect
153. #17988729C22semidirect
154. #17988727C22semidirect
155. #17988727C22semidirect
156. #17988727C22semidirect
157. #17988722C22semidirect
158. #17988722C22semidirect
159. #17988722C22semidirect
160. #17988720C22semidirect
161. #17988719C22semidirect
162. #17988700C22semidirect
163. #17988698C22semidirect
164. #17988697C22semidirect
165. #17988691C22semidirect
166. #17988690C22semidirect
167. #17988686C22semidirect
168. #17988685C22semidirect
169. #17988661C22semidirect
170. #17988660C22semidirect
171. #17988659C22semidirect
172. #17988658C22semidirect
173. #17988657C22semidirect
174. #17988656C22semidirect
175. #17988655C22semidirect
176. #17988643C22semidirect
177. #17988642C22semidirect
178. #17988594C22semidirect
179. #17988590C22semidirect
180. #17988586C22semidirect
181. #17988581C22semidirect
182. #103×D73C22semidirect
183. #102×D73C22semidirect
184. #17988550C22semidirect
185. #17988549C22semidirect
186. C2×#14556503C22semidirect
187. C22⋊C8×D73C22semidirect
188. #553×C73C22semidirect
189. #550×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #480×C73C22semidirect
193. #479×C73C22semidirect
194. #469×C73C22semidirect
195. #466×C73C22semidirect
196. #459×C73C22semidirect
197. #449×C73C22semidirect
198. #449×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. #416×C73C22semidirect
975. #3309D73semidirect
998. C73#61579semidirect
1013. #553C2×D73semidirect
1015. #550C2×D73semidirect
1057. #490C2×D73semidirect
1069. #482C2×D73semidirect
1071. #480C2×D73semidirect
1072. #479C2×D73semidirect
1079. #469C2×D73semidirect
1087. #466C2×D73semidirect
1103. #459C2×D73semidirect
1130. #449C2×D73semidirect
1131. #449C2×D73semidirect
1147. #440C2×D73semidirect
1155. #435C2×D73semidirect
1161. #417C2×D73semidirect
1163. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239562
#226234212
#226221132
#226220992
#226220852
#226220712
#226220432
#226220152
#226219012
#226215092
#226214722
#226214682
#226214612
#226214432
#226214292
#226214182
#226214062
#226209692
#226209242
#226207672
#226207442
#226207222
#226206912
#226200802
#226200472
#226191842
#226191692
#226191512
#449×D732
#226189562
C73×#33092
#6157973