Finite Group Databasebeta

← #33967977

Subgroups — #33967977

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623538C211yesmaximal, characteristic, complemented
2#22623482C211yesmaximal, characteristic, complemented
3#22622995C211yesmaximal, characteristic, complemented
4#22622889C211yesmaximal, characteristic, complemented
5#22622764C211yesmaximal, characteristic, complemented
6#22622680C211yesmaximal, characteristic, complemented
7#22622429C211yesmaximal, characteristic, complemented
8#22622384C211yesmaximal, characteristic, complemented
9#22622304C211yesmaximal, characteristic, complemented
10#22622093C211yesmaximal, characteristic, complemented
11#22622008C211yesmaximal, characteristic, complemented
12#22621958C211yesmaximal, characteristic, complemented
13#22621903C211yesmaximal, characteristic, complemented
14#22621768C211yesmaximal, characteristic, complemented
15#22621612C211yesmaximal, characteristic, complemented
16#22621449C211yesmaximal, characteristic, complemented
17#22621404C211yesmaximal, characteristic, complemented
18#22620659C211yesmaximal, characteristic, complemented
19#22620633C211yesmaximal, characteristic, complemented
20#22620624C211yesmaximal, characteristic, complemented
21#22620075C211yesmaximal, characteristic, complemented
22#22620068C211yesmaximal, characteristic, complemented
23#22620064C211yesmaximal, characteristic, complemented
24#22620045C211yesmaximal, characteristic, complemented
25#22620035C211yesmaximal, characteristic, complemented
26#22620027C211yesmaximal, characteristic, complemented
27#22618939C211yesmaximal, characteristic, complemented
28C4×#14556615C211yesmaximal, characteristic, complemented
29#22618727C211yesmaximal, characteristic, complemented
30C2×#17988696C211yesmaximal, characteristic, complemented
31C73×#3297C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C22×#11924013C2211yescharacteristic
35#17989320C2211yescharacteristic, complemented
36#17989306C2211yescharacteristic, complemented
37#17989301C2211yescharacteristic, complemented
38#17989296C2211yescharacteristic, complemented
39#17989293C2211yescharacteristic, complemented
40#17989292C2211yescharacteristic
41#17989282—21no—
42#17989281C2211yescharacteristic, complemented
43#17989280—21no—
44#17989279C2211yescharacteristic
45#17989277C2211yescharacteristic, complemented
46#17989274—21no—
47#17989268—21no—
48#17989266—21no—
49#17989263—21no—
50#17989262—21no—
51#17989236C2211yescharacteristic, complemented
52#17989234C2211yescharacteristic, complemented
53#17989233C2211yescharacteristic
54#17989231C2211yescharacteristic
55#17989226—21no—
56#17989221C2211yescharacteristic
57#17989139C2211yescharacteristic, complemented
58#17989132C2211yescharacteristic, complemented
59#17989122C2211yescharacteristic, complemented
60#17989120—21no—
61#17989118—21no—
62#17989118C2211yescharacteristic
63#17989118C2211yescharacteristic, complemented
64#17989116C2211yescharacteristic, complemented
65#17989114—21no—
66#17989097—21no—
67#17989095—21no—
68#17989093—21no—
69#41×Dic73C2211yescharacteristic, complemented
70#17989055C2211yescharacteristic, complemented
71C4×#11924027C2211yescharacteristic
72C4×#11924027C2211yescharacteristic, complemented
73C2×D4×Dic73C2211yescharacteristic, complemented
74C2×#14556553C2211yescharacteristic
75C4×D4×D73—21no—
76C4×D4×D73C2211yescharacteristic, complemented
77C2×#14556547—21no—
78#17988995C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988986C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic
83#17988969C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988942C2211yescharacteristic, complemented
89#17988930C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic
99#17988893C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic, complemented
103#17988888C2211yescharacteristic, complemented
104#17988887C2211yescharacteristic, complemented
105#17988886C2211yescharacteristic, complemented
106#17988870C2211yescharacteristic, complemented
107#17988866C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988844C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic
112#17988836C2211yescharacteristic, complemented
113#17988832C2211yescharacteristic, complemented
114#17988828C2211yescharacteristic, complemented
115#17988826C2211yescharacteristic, complemented
116#17988821C2211yescharacteristic, complemented
117#17988816C2211yescharacteristic, complemented
118#17988814C2211yescharacteristic
119#17988814C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic
124#17988800C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988799C2211yescharacteristic
127#17988791C2211yescharacteristic, complemented
128#17988791C2211yescharacteristic, complemented
129#17988785C2211yescharacteristic, complemented
130#17988780C2211yescharacteristic
131#17988751C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988740C2211yescharacteristic
134#17988738C2211yescharacteristic, complemented
135#17988737C2211yescharacteristic
136#17988736C2211yescharacteristic, complemented
137#17988733C2211yescharacteristic
138#17988732C2211yescharacteristic, complemented
139#17988730C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988717C2211yescharacteristic, complemented
142#17988714C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic, complemented
145#17988696C2211yescharacteristic
146#17988696C2211yescharacteristic
147#17988696C2211yescharacteristic
148#17988696C2211yescharacteristic
149#17988696C2211yescharacteristic
150#17988696C2211yescharacteristic, complemented
151#17988696C2211yescharacteristic, complemented
152#17988696C2211yescharacteristic, complemented
153#17988696C2211yescharacteristic, complemented
154#17988693C2211yescharacteristic, complemented
155#17988691C2211yescharacteristic, complemented
156#17988691C2211yescharacteristic, complemented
157#17988690C2211yescharacteristic, complemented
158#17988690C2211yescharacteristic, complemented
159#17988690C2211yescharacteristic, complemented
160#17988688C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167C4×#11924017C2211yescharacteristic, complemented
168C4×#11924016C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic
170#17988658C2211yescharacteristic
171#17988658C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic
173#17988655C2211yescharacteristic, complemented
174D4×#10596831C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988623C2211yescharacteristic, complemented
180C2×#14556522C2211yescharacteristic, complemented
181#17988590C2211yescharacteristic, complemented
182#17988585C2211yescharacteristic, complemented
183#17988584C2211yescharacteristic, complemented
184C2×#14556513C2211yescharacteristic
185C4×#11924011C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187C2×#14556501C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic, complemented
190#488×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic
199C4×D8×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027D411yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C23×Dic73—21no—
211C22×C4×D73—21no—
212C22×C4×D73—21no—
213#14556615—24no—
214#14556611—24no—
215C2×Dic292C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924013—24no—
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C22×#10596831C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556589C2311yescharacteristic
236#14556587C2311yescharacteristic
237#14556586—21no—
238#14556586—21no—
239#14556585—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556583C2311yescharacteristic
247#14556582—21no—
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556579C2311yescharacteristic
254#14556578—21no—
255#14556578C2311yescharacteristic
256#14556578C2311yescharacteristic
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556576—21no—
261#14556576—21no—
262#14556575—21no—
263#14556574—21no—
264#14556574—21no—
265#14556573—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#14556571—21no—
275#14556571C2311yescharacteristic
276#14556570—21no—
277#14556570—21no—
278#14556570C2311yescharacteristic
279#14556570C2311yescharacteristic
280#14556570C2311yescharacteristic
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556568—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556567C2311yescharacteristic
289#14556566C2311yescharacteristic
290#14556565C2311yescharacteristic
291#14556564—21no—
292#14556564—21no—
293#14556564—21no—
294#14556563—21no—
295#14556563—21no—
296#14556563—21no—
297#14556563—21no—
298#14556562—21no—
299#14556562C2311yescharacteristic
300#14556561—21no—
301#14556560—21no—
302#14556559—21no—
303#14556559—21no—
304#14556559—21no—
305Q8×Dic73C2311yescharacteristic
306Q8×Dic73C2311yescharacteristic
307C4×Dic146C2311yescharacteristic
308C4×Dic146C2311yescharacteristic
309#14556556—21no—
310#14556556D411yescharacteristic
311#14556556C2311yescharacteristic
312#14556556C2311yescharacteristic
313#14556556C2311yescharacteristic
314C4×D292—21no—
315C4×D292C2311yescharacteristic
316D4×Dic73—21no—
317D4×Dic73—21no—
318D4×Dic73—21no—
319D4×Dic73—21no—
320D4×Dic73—21no—
321D4×Dic73—21no—
322D4×Dic73D411yescharacteristic
323D4×Dic73C2311yescharacteristic
324D4×Dic73C2311yescharacteristic
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328D4×Dic73C2311yescharacteristic
329#14556553—21no—
330#14556553—21no—
331#14556553—21no—
332#14556553C2311yescharacteristic
333#14556553C2311yescharacteristic
334#14556553C2311yescharacteristic
335#14556553C2311yescharacteristic
336#14556553C2311yescharacteristic
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73C2311yescharacteristic
342C4×C22⋊D73C2311yescharacteristic
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551D411yescharacteristic
350#14556551D411yescharacteristic
351#14556550—21no—
352#14556550C2311yescharacteristic
353#14556549—21no—
354#14556549D411yescharacteristic
355#14556549C2311yescharacteristic
356#14556548—21no—
357#14556547—21no—
358#14556547—21no—
359#14556547—21no—
360#14556547—21no—
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364#14556547—21no—
365#14556547—21no—
366#14556547D411yescharacteristic
367#14556547D411yescharacteristic
368C2×C4⋊Dic73C2311yescharacteristic
369C2×#11924007—21no—
370C2×#11924007—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73C2311yescharacteristic
373C2×C22⋊Dic73—21no—
374C2×C22⋊Dic73—21no—
375C2×#11924005—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73C2311yescharacteristic
382C2×C4×Dic73C2311yescharacteristic
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#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445#126×C73—21no—
446#125×C73C2311yescharacteristic
447#124×C73C2311yescharacteristic
448#123×C73—21no—
449#123×C73—21no—
450C22⋊Q8×C73C2311yescharacteristic
451#121×C73—21no—
452#121×C73—21no—
453#121×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
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
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924028—22no—
484#11924028—41no—
485#11924027—22no—
486#11924027—41no—
487#11924027—42no—
488#11924027—82no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×D292—22no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—41no—
498C2×D292C2411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73C2×D411yescharacteristic
508C2×C22⋊D73C2×D411yescharacteristic
509D4×D73—22no—
510D4×D73—41no—
511D4×D73—44no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—44no—
521C22×Dic73C2×D411yescharacteristic
522C22×Dic73C2×D411yescharacteristic
523C22×Dic73C2×D411yescharacteristic
524C22×Dic73C2×D411yescharacteristic
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—41no—
547#11924013—22no—
548#11924013—22no—
549#11924013—22no—
550#11924013#4114yescomplemented
551#11924011—22no—
552#11924011—41no—
553C2×#10596831—22no—
554C2×#10596831—22no—
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570#11924007—21no—
571#11924007—21no—
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#11924007—21no—
586#11924007—21no—
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
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⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
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
640C24×C73—21no—
641#41×C73—22no—
642#41×C73—41no—
643C2×Q8×C73C2411yescharacteristic
644C2×D4×C73—22no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—41no—
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73C2411yescharacteristic
660C22×C4×C73C2411yescharacteristic
661SD16×C73—41no—
662D8×C73—22no—
663D8×C73—41no—
664C2×C8×C73—41no—
665C2×C8×C73—41no—
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
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×C73—21no—
688C22⋊C4×C73C2×D411yescharacteristic
689C22⋊C4×C73C2×D411yescharacteristic
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—42no—
696C23×C73—42no—
697C23×C73—81no—
698C23×C73C22×D411yescharacteristic
699C23×C73C22×D411yescharacteristic
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—42no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711D4×C73—22no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—42no—
718D4×C73—42no—
719D4×C73—42no—
720D4×C73—81no—
721D4×C73—81no—
722D4×C73C2×#4112yes—
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—81no—
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—41no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C2×Dic73—22no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—41no—
758C2×Dic73—41no—
759C2×Dic73—41no—
760C2×Dic73—42no—
761C2×Dic73—42no—
762C2×Dic73—42no—
763C2×Dic73—42no—
764C2×Dic73—42no—
765C2×Dic73—42no—
766C2×Dic73—42no—
767C2×Dic73—81no—
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775D292—21no—
776D292—21no—
777D292—21no—
778D292—42no—
779D292—42no—
780D292C2×#4112yes—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—41no—
784C4×D73—41no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—21no—
797Dic146—41no—
798Dic146—81no—
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—22no—
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—84no—
823C22×C73#57512yes—
824C22×C73C23×D411yescharacteristic
825C2×D73—21no—
826C2×D73—21no—
827C2×D73—22no—
828C2×D73—21no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—84no—
835C2×D73—84no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73C22×#4111yescharacteristic
846C4×C73#58511yescharacteristic
847Dic73—21no—
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—22no—
862C2×C73—41no—
863C2×C73—42no—
864C2×C73—81no—
865C2×C73—81no—
866C2×C73D4×#4111yescharacteristic
867C2×C73C2×#57511yescharacteristic
868C2×C73#358511yescharacteristic
869D73—41no—
870D73—42no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3401—731no—
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297D7311yescharacteristic, complemented
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943—731no—
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×#135—731no—
906C22×D8—731no—
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—1461no—
915#553—1461no—
916#553C2×D7311yescharacteristic
917#552—731no—
918#552—731no—
919#552—1461no—
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
929#546C2×D7311yescharacteristic, complemented
930D42—731no—
931#533—731no—
932#532—731no—
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—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—731no—
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951C2×#117—1461no—
952#501—731no—
953#501—731no—
954#499—731no—
955#497—731no—
956#496—731no—
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488C2×D7311yescharacteristic, complemented
964#485—731no—
965#485—731no—
966#484—731no—
967#484C2×D7311yescharacteristic, complemented
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482—731no—
973#482C2×D7311yescharacteristic, complemented
974#480—731no—
975#480—731no—
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478C2×D7311yescharacteristic, complemented
984#475—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#470—731no—
989#469—731no—
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466C2×D7311yescharacteristic, complemented
996#465—731no—
997#465—731no—
998#465—731no—
999#465C2×D7311yescharacteristic
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463C2×D7311yescharacteristic, complemented
1008#461—731no—
1009#461—731no—
1010#460—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449C2×D7311yescharacteristic, complemented
1022#447—731no—
1023#447C2×D7311yescharacteristic
1024#446—731no—
1025#446—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#441—731no—
1038#441—731no—
1039#441—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#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8C2×D7311yescharacteristic, complemented
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435—731no—
1058C8×D4—731no—
1059C8×D4C2×D7311yescharacteristic, complemented
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428—731no—
1064#427—731no—
1065C2×#106—731no—
1066#418—731no—
1067#417—731no—
1068#416—731no—
1069#416C2×D7311yescharacteristic, complemented
1070C2×#102—731no—
1071C2×#102C2×D7311yescharacteristic, complemented
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—1461no—
1079C2×#41C22×D7311yescharacteristic
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—1461no—
1083C22×D4C22×D7311yescharacteristic
1084C23×C4—1461no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—1464no—
1088#135—1464no—
1089C2×Q16—731no—
1090C2×Q16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—731no—
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—1464no—
1104C2×D8C22×D7311yescharacteristic
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8C22×D7311yescharacteristic
1111C22×C8C22×D7311yescharacteristic
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8—731no—
1115#127—731no—
1116#126—21no—
1117#126—1461no—
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#125—731no—
1127#125—731no—
1128#125—731no—
1129#125—1461no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125C22×D7311yescharacteristic
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—1461no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124C22×D7311yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—1461no—
1145#123—1461no—
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—
1158C22⋊Q8—731no—
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—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8C22×D7311yescharacteristic
1174#121—21no—
1175#121—21no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
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#120—21no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
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×D4—21no—
1206C4×D4—731no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
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—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—731no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117C22×D7311yescharacteristic
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4C22×D7311yescharacteristic
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—731no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42—1461no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107C22×D7311yescharacteristic
1290#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106—731no—
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304C4⋊C8C22×D7311yescharacteristic
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#103—731no—
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#103C22×D7311yescharacteristic
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#102—731no—
1330#102C22×D7311yescharacteristic
1331#102C22×D7311yescharacteristic
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8C22×D7311yescharacteristic
1342C22⋊C8C22×D7311yescharacteristic
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97—731no—
1350#97—731no—
1351C4×C8—731no—
1352C4×C8C22×D7311yescharacteristic
1353C24—21no—
1354C24—1461no—
1355C24—1461no—
1356#41—22no—
1357#41—41no—
1358#41—2921no—
1359#41—2921no—
1360#41—2922no—
1361#41—5842no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—1461no—
1368C2×Q8—1461no—
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—22no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—41no—
1377C2×D4—2921no—
1378C2×D4—2924no—
1379C2×D4—2921no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—731no—
1384C2×D4—1461no—
1385C2×D4—1462no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1462no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4D4×D7311yescharacteristic
1396C2×D4C23×D7311yescharacteristic
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—2924no—
1404C22×C4—5842no—
1405C22×C4—5842no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—1461no—
1414C22×C4—1461no—
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×C4C23×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—2921no—
1432Q16—1462no—
1433SD16—41no—
1434SD16—2921no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—22no—
1442D8—41no—
1443D8—734no—
1444D8—1462no—
1445D8—1462no—
1446D8—1462no—
1447M16—2921no—
1448M16—1462no—
1449C2×C8—41no—
1450C2×C8—41no—
1451C2×C8—731no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—1462no—
1456C2×C8—1462no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—731no—
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—1461no—
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⋊C4—1461no—
1497C4⋊C4D4×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
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⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4D4×D7311yescharacteristic
1544C22⋊C4D4×D7311yescharacteristic
1545C42—21no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—731no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—81no—
1570C23—2922no—
1571C23—2922no—
1572C23—2922no—
1573C23—2922no—
1574C23—5841no—
1575C23—5841no—
1576C23—731no—
1577C23—1461no—
1578C23—1461no—
1579C23C2×D4×D7311yescharacteristic
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—2921no—
1584Q8—5841no—
1585Q8—5841no—
1586Q8—1461no—
1587Q8—1461no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—22no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—81no—
1600D4—81no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—2921no—
1606D4—2922no—
1607D4—2922no—
1608D4—5841no—
1609D4—5841no—
1610D4—5841no—
1611D4—732no—
1612D4—1462no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4#41×D7312yes—
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—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—2922no—
1631C2×C4—2921no—
1632C2×C4—2921no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—2921no—
1644C2×C4—2921no—
1645C2×C4—2921no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—731no—
1657C2×C4—731no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1462no—
1665C2×C4—1461no—
1666C2×C4—1461no—
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—732no—
1677C8—1461no—
1678C8—1461no—
1679C8—1461no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—21no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—84no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—2921no—
1700C22—5844no—
1701C22—5844no—
1702C22—1461no—
1703C22—1462no—
1704C22—1461no—
1705C22—1461no—
1706C22#1798938412yes—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—1461no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C2×#41×D7311yescharacteristic
1731C4#1798942211yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—42no—
1735C2—81no—
1736C2—81no—
1737C2—2922no—
1738C2—2921no—
1739C2—5841no—
1740C2#2262341511yescharacteristic
1741C2C2×#1798938411yescharacteristic
1742C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3297C2
socleC22×C73C23×D4
hypercenter#3297D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #22623538C2semidirect
2. #22623482C2semidirect
3. #22622995C2semidirect
4. #22622889C2semidirect
5. #22622764C2semidirect
6. #22622680C2semidirect
7. #22622429C2semidirect
8. #22622384C2semidirect
9. #22622304C2semidirect
10. #22622093C2semidirect
11. #22622008C2semidirect
12. #22621958C2semidirect
13. #22621903C2semidirect
14. #22621768C2semidirect
15. #22621612C2semidirect
16. #22621449C2semidirect
17. #22621404C2semidirect
18. #22620659C2semidirect
19. #22620633C2semidirect
20. #22620624C2semidirect
21. #22620075C2semidirect
22. #22620068C2semidirect
23. #22620064C2semidirect
24. #22620045C2semidirect
25. #22620035C2semidirect
26. #22620027C2semidirect
27. #22618939C2semidirect
28. C4×#14556615C2semidirect
29. #22618727C2semidirect
30. C2×#17988696C2semidirect
31. C73×#3297C2semidirect
35. #17989320C22semidirect
36. #17989306C22semidirect
37. #17989301C22semidirect
38. #17989296C22semidirect
39. #17989293C22semidirect
42. #17989281C22semidirect
45. #17989277C22semidirect
51. #17989236C22semidirect
52. #17989234C22semidirect
57. #17989139C22semidirect
58. #17989132C22semidirect
59. #17989122C22semidirect
63. #17989118C22semidirect
64. #17989116C22semidirect
69. #41×Dic73C22semidirect
70. #17989055C22semidirect
72. C4×#11924027C22semidirect
73. C2×D4×Dic73C22semidirect
76. C4×D4×D73C22semidirect
78. #17988995C22semidirect
79. #17988994C22semidirect
80. #17988986C22semidirect
81. #17988978C22semidirect
83. #17988969C22semidirect
84. #17988954C22semidirect
85. #17988950C22semidirect
86. #17988945C22semidirect
87. #17988945C22semidirect
88. #17988942C22semidirect
89. #17988930C22semidirect
90. #17988928C22semidirect
91. #17988922C22semidirect
92. #17988918C22semidirect
93. #17988916C22semidirect
94. #17988913C22semidirect
95. #17988912C22semidirect
96. #17988908C22semidirect
97. #17988899C22semidirect
99. #17988893C22semidirect
100. #17988891C22semidirect
101. #17988889C22semidirect
102. #17988889C22semidirect
103. #17988888C22semidirect
104. #17988887C22semidirect
105. #17988886C22semidirect
106. #17988870C22semidirect
107. #17988866C22semidirect
108. #17988866C22semidirect
109. #17988865C22semidirect
110. #17988844C22semidirect
112. #17988836C22semidirect
113. #17988832C22semidirect
114. #17988828C22semidirect
115. #17988826C22semidirect
116. #17988821C22semidirect
117. #17988816C22semidirect
119. #17988814C22semidirect
120. #17988810C22semidirect
121. #17988808C22semidirect
122. #17988802C22semidirect
124. #17988800C22semidirect
125. #17988800C22semidirect
127. #17988791C22semidirect
128. #17988791C22semidirect
129. #17988785C22semidirect
131. #17988751C22semidirect
132. #17988750C22semidirect
134. #17988738C22semidirect
136. #17988736C22semidirect
138. #17988732C22semidirect
141. #17988717C22semidirect
142. #17988714C22semidirect
143. #17988699C22semidirect
144. #17988699C22semidirect
150. #17988696C22semidirect
151. #17988696C22semidirect
152. #17988696C22semidirect
153. #17988696C22semidirect
154. #17988693C22semidirect
155. #17988691C22semidirect
156. #17988691C22semidirect
157. #17988690C22semidirect
158. #17988690C22semidirect
159. #17988690C22semidirect
160. #17988688C22semidirect
161. #17988686C22semidirect
162. #17988686C22semidirect
163. #17988684C22semidirect
164. #17988684C22semidirect
165. #17988684C22semidirect
166. #17988684C22semidirect
167. C4×#11924017C22semidirect
168. C4×#11924016C22semidirect
171. #17988658C22semidirect
173. #17988655C22semidirect
174. D4×#10596831C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #17988628C22semidirect
179. #17988623C22semidirect
180. C2×#14556522C22semidirect
181. #17988590C22semidirect
182. #17988585C22semidirect
183. #17988584C22semidirect
185. C4×#11924011C22semidirect
186. C2×#14556501C22semidirect
187. C2×#14556501C22semidirect
189. #546×C73C22semidirect
190. #488×C73C22semidirect
191. #484×C73C22semidirect
192. #482×C73C22semidirect
193. #478×C73C22semidirect
194. #466×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
199. C4×D8×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #416×C73C22semidirect
202. C2×#102×C73C22semidirect
550. #11924013#41semidirect
885. #3297D73semidirect
903. C73#61454semidirect
929. #546C2×D73semidirect
963. #488C2×D73semidirect
967. #484C2×D73semidirect
973. #482C2×D73semidirect
983. #478C2×D73semidirect
995. #466C2×D73semidirect
1007. #463C2×D73semidirect
1021. #449C2×D73semidirect
1053. C4×D8C2×D73semidirect
1059. C8×D4C2×D73semidirect
1069. #416C2×D73semidirect
1071. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235382
#226234822
#226229952
#226228892
#226227642
#226226802
#226224292
#226223842
#226223042
#226220932
#226220082
#226219582
#226219032
#226217682
#226216122
#226214492
#226214042
#226206592
#226206332
#226206242
#226200752
#226200682
#226200642
#226200452
#226200352
#226200272
#226189392
C4×#145566152
#226187272
C2×#179886962
C73×#32972
#6145473