Finite Group Databasebeta

← #33968907

Subgroups — #33968907

Order 18688.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623967C211yesmaximal, characteristic, complemented
2#22623959C211yesmaximal, characteristic, complemented
3#22622954C211yesmaximal, characteristic, complemented
4#22622833C211yesmaximal, characteristic, complemented
5#22622577C211yesmaximal, characteristic, complemented
6#22622564C211yesmaximal, characteristic, complemented
7#22622524C211yesmaximal, characteristic, complemented
8#22622420C211yesmaximal, characteristic, complemented
9#22622416C211yesmaximal, characteristic, complemented
10#22621855C211yesmaximal, characteristic, complemented
11#22621777C211yesmaximal, characteristic, complemented
12#22621756C211yesmaximal, characteristic, complemented
13#22621750C211yesmaximal, characteristic, complemented
14#22621739C211yesmaximal, characteristic, complemented
15#22621524C211yesmaximal, characteristic, complemented
16#22621412C211yesmaximal, characteristic, complemented
17#22621404C211yesmaximal, characteristic, complemented
18#22620617C211yesmaximal, characteristic, complemented
19#22620613C211yesmaximal, characteristic, complemented
20#22620485C211yesmaximal, characteristic, complemented
21#22620135C211yesmaximal, characteristic, complemented
22#22620131C211yesmaximal, characteristic, complemented
23#22620114C211yesmaximal, characteristic, complemented
24#22620110C211yesmaximal, characteristic, complemented
25#22620027C211yesmaximal, characteristic, complemented
26#22620017C211yesmaximal, characteristic, complemented
27#22618899C211yesmaximal, characteristic, complemented
28#22618766C211yesmaximal, characteristic, complemented
29#22618756C211yesmaximal, characteristic, complemented
30C2×#17988667C211yesmaximal, characteristic, complemented
31C73×#3297C211yesmaximal, characteristic, complemented
32C2×#14556616C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C22×#11924013C2211yescharacteristic
35#17989306C2211yescharacteristic, complemented
36#17989300C2211yescharacteristic, complemented
37#17989295C2211yescharacteristic, complemented
38#17989294C2211yescharacteristic, complemented
39#17989293C2211yescharacteristic, complemented
40#17989288—21no—
41#17989285C2211yescharacteristic
42#17989274—21no—
43#17989268—21no—
44#17989263—21no—
45#17989258C2211yescharacteristic, complemented
46D4×Dic146C2211yescharacteristic, complemented
47#17989243—21no—
48#17989237C2211yescharacteristic, complemented
49#17989236C2211yescharacteristic, complemented
50#17989232—21no—
51#17989231C2211yescharacteristic, complemented
52#17989229—21no—
53#17989226—21no—
54D4×D292C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989221C2211yescharacteristic, complemented
57#17989206C2211yescharacteristic, complemented
58#17989204C2211yescharacteristic, complemented
59#17989193C2211yescharacteristic, complemented
60#17989190C2211yescharacteristic, complemented
61#17989182—21no—
62#17989181—21no—
63#17989176—21no—
64#17989173—21no—
65#17989139C2211yescharacteristic, complemented
66#17989132C2211yescharacteristic
67#17989117C2211yescharacteristic
68#17989096—21no—
69#17989093—21no—
70C2×#14556568—21no—
71#121×D73—21no—
72#17989070C2211yescharacteristic, complemented
73#17989066C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic, complemented
75#17989059C2211yescharacteristic, complemented
76C2×D4×Dic73C2211yescharacteristic, complemented
77C2×#14556553C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988936C2211yescharacteristic, complemented
86#17988934C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988906C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic, complemented
96#17988903C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988878C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988875C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988867C2211yescharacteristic, complemented
107#17988866C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic, complemented
109#17988866C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic, complemented
111#17988838C2211yescharacteristic, complemented
112#17988836C2211yescharacteristic, complemented
113#17988831C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic, complemented
116#17988818C2211yescharacteristic, complemented
117#17988816C2211yescharacteristic, complemented
118#17988816C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic
121#17988801C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic
123#17988791C2211yescharacteristic, complemented
124#17988791C2211yescharacteristic, complemented
125#17988788C2211yescharacteristic, complemented
126#17988785C2211yescharacteristic, complemented
127#17988782C2211yescharacteristic, complemented
128#17988780C2211yescharacteristic, complemented
129#17988780C2211yescharacteristic, complemented
130#17988780C2211yescharacteristic, complemented
131#17988740C2211yescharacteristic
132#17988740C2211yescharacteristic, complemented
133#17988737C2211yescharacteristic
134#17988736C2211yescharacteristic, complemented
135#17988733C2211yescharacteristic, complemented
136#17988733C2211yescharacteristic, complemented
137#17988732C2211yescharacteristic, complemented
138#17988721C2211yescharacteristic, complemented
139#17988720C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142C8×Dic146C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic, complemented
145#17988697C2211yescharacteristic
146#17988696C2211yescharacteristic
147#17988696C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic, complemented
149#17988690C2211yescharacteristic, complemented
150#17988690C2211yescharacteristic, complemented
151#17988690C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic, complemented
153#17988686C2211yescharacteristic, complemented
154#17988686C2211yescharacteristic, complemented
155#17988678C2211yescharacteristic, complemented
156C4×#11924017C2211yescharacteristic, complemented
157SD16×Dic73C2211yescharacteristic, complemented
158#17988674C2211yescharacteristic, complemented
159#17988672C2211yescharacteristic, complemented
160#17988672C2211yescharacteristic, complemented
161#17988667C2211yescharacteristic
162#17988667C2211yescharacteristic
163#17988667C2211yescharacteristic
164#17988667C2211yescharacteristic
165#17988667C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179#17988628C2211yescharacteristic, complemented
180C2×#14556524C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182C2×#14556513C2211yescharacteristic
183C2×#14556513C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988542C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, 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, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924027—21no—
205C2×#11924027—21no—
206C2×#11924027C2311yescharacteristic
207C22×Dic146—21no—
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73—21no—
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214C23×Dic73—21no—
215C22×C4×D73—21no—
216#14556616—24no—
217#14556615—24no—
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924013—24no—
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924012C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234C22×#10596831C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236#14556591C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556589C2311yescharacteristic
241#14556588C2311yescharacteristic
242#14556587C2311yescharacteristic
243#14556587C2311yescharacteristic
244#14556586—21no—
245#14556586D411yescharacteristic
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584D411yescharacteristic
251#14556582—21no—
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581D411yescharacteristic
256#14556579—21no—
257#14556578—21no—
258#14556578C2311yescharacteristic
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577D411yescharacteristic
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556575—21no—
267#14556575—21no—
268#14556575D411yescharacteristic
269#14556574—21no—
270#14556573—21no—
271#14556573—21no—
272#14556572—21no—
273#14556572—21no—
274#14556572—21no—
275#14556572—21no—
276#14556572D411yescharacteristic
277#14556571—21no—
278#14556571—21no—
279#14556570—21no—
280#14556570C2311yescharacteristic
281#14556570C2311yescharacteristic
282#14556569—21no—
283#14556569—21no—
284#14556568—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568D411yescharacteristic
295#14556567C2311yescharacteristic
296#14556566—21no—
297#14556566—21no—
298#14556566—21no—
299#14556566C2311yescharacteristic
300#14556566C2311yescharacteristic
301#14556565—21no—
302#14556565—21no—
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563D411yescharacteristic
315#14556562—21no—
316#14556562C2311yescharacteristic
317#14556561—21no—
318#14556561—21no—
319#14556561—21no—
320#14556561—21no—
321#14556560—21no—
322#14556559—21no—
323#14556559—21no—
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329#14556556C2311yescharacteristic
330C4×D292—21no—
331C4×D292—21no—
332C4×D292C2311yescharacteristic
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344#14556553—21no—
345#14556553—21no—
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556550—21no—
363#14556550C2311yescharacteristic
364#14556549C2311yescharacteristic
365#14556548—21no—
366#14556548C2311yescharacteristic
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370C2×C4⋊Dic73—21no—
371C2×C4⋊Dic73C2311yescharacteristic
372C2×C4⋊Dic73C2311yescharacteristic
373C2×#11924007—21no—
374C2×#11924007—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73C2311yescharacteristic
377C2×C22⋊Dic73—21no—
378C2×C22⋊Dic73—21no—
379C2×#11924005—21no—
380C2×#11924005—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C2×C4×Dic73C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
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—
483C23×D73—21no—
484#11924028—82no—
485#11924027—22no—
486#11924027—41no—
487#11924027—82no—
488#11924027—82no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—82no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×D292—22no—
497C2×D292—22no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—41no—
505C2×D292—41no—
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73C2×D411yescharacteristic
519C2×C22⋊D73C2×D411yescharacteristic
520D4×D73—22no—
521D4×D73—41no—
522D4×D73—82no—
523D4×D73—82no—
524D4×D73—82no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—82no—
535C22×Dic73C2×D411yescharacteristic
536C22×Dic73C2×D411yescharacteristic
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—82no—
547C2×C4×D73C2411yescharacteristic
548#11924017—22no—
549#11924017—41no—
550#11924017—41no—
551#11924016—22no—
552#11924015—22no—
553#11924015—22no—
554#11924015—41no—
555#11924013—22no—
556#11924013—22no—
557#11924013—22no—
558#11924013—22no—
559#11924013—41no—
560#11924013#4114yescomplemented
561#11924012—22no—
562#11924011—22no—
563C2×#10596831—22no—
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C8×D73—41no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2×D411yescharacteristic
577C4⋊Dic73C2×D411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73C2×D411yescharacteristic
612C22⋊Dic73C2×D411yescharacteristic
613C22⋊Dic73C2×D411yescharacteristic
614C22⋊Dic73C2×D411yescharacteristic
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C24×C73—21no—
644#41×C73—22no—
645#41×C73—41no—
646C2×Q8×C73C2411yescharacteristic
647C2×D4×C73—22no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73—21no—
653C2×D4×C73—41no—
654C2×D4×C73C2×D411yescharacteristic
655C2×D4×C73C2411yescharacteristic
656C2×D4×C73C2411yescharacteristic
657C2×D4×C73C2411yescharacteristic
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73—21no—
662C22×C4×C73C2411yescharacteristic
663C22×C4×C73C2411yescharacteristic
664SD16×C73—41no—
665D8×C73—22no—
666D8×C73—41no—
667C2×C8×C73—41no—
668C2×C8×C73—41no—
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C2×C8×C73C2411yescharacteristic
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73—21no—
677C4⋊C4×C73C2×D411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73C2×D411yescharacteristic
692C22⋊C4×C73C2×D411yescharacteristic
693C42×C73—21no—
694C42×C73C2411yescharacteristic
695C23×C73—21no—
696C23×C73—21no—
697C23×C73—21no—
698C23×C73—42no—
699C23×C73—42no—
700C23×C73—81no—
701C23×C73C22×D411yescharacteristic
702C23×C73C22×D411yescharacteristic
703C22×D73—21no—
704C22×D73—21no—
705C22×D73—21no—
706C22×D73—42no—
707C22×D73—42no—
708C22×D73—42no—
709C22×D73—42no—
710C22×D73—81no—
711C22×D73—81no—
712C22×D73—81no—
713C22×D73—81no—
714C22×D73—81no—
715C22×D73C22×D411yescharacteristic
716Q8×C73—21no—
717Q8×C73—21no—
718D4×C73—22no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—21no—
722D4×C73—21no—
723D4×C73—21no—
724D4×C73—42no—
725D4×C73—42no—
726D4×C73—42no—
727D4×C73—81no—
728D4×C73—81no—
729D4×C73C2×#4112yes—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—42no—
740C2×C4×C73—81no—
741C2×C4×C73—81no—
742C2×C4×C73—81no—
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C2511yescharacteristic
748C22⋊D73—22no—
749C22⋊D73—22no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C2×Dic73—22no—
760C2×Dic73—22no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—42no—
767C2×Dic73—42no—
768C2×Dic73—42no—
769C2×Dic73—81no—
770C2×Dic73—81no—
771C2×Dic73—81no—
772C2×Dic73—81no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782D292—21no—
783D292—21no—
784D292—21no—
785D292—21no—
786D292—21no—
787D292—42no—
788D292—42no—
789D292—81no—
790D292—81no—
791D292—81no—
792D292—81no—
793D292C2×#4112yes—
794C4×D73—21no—
795C4×D73—21no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805Dic146—22no—
806Dic146—21no—
807Dic146—21no—
808Dic146—42no—
809Dic146—81no—
810Dic146—81no—
811Dic146—81no—
812C8×C73—21no—
813C8×C73—21no—
814C8×C73—21no—
815C8×C73—21no—
816#10596831—21no—
817#10596831—21no—
818#10596831—21no—
819#10596831C2×#4112yes—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73—22no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—84no—
835C22×C73#57712yes—
836C22×C73C23×D411yescharacteristic
837C2×D73—21no—
838C2×D73—22no—
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—84no—
850C2×D73—162no—
851C2×D73—162no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73C22×#4111yescharacteristic
862C4×C73#58511yescharacteristic
863Dic73—21no—
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73#57612yes—
875#61496—731nomaximal, Sylow
876C2×C73—22no—
877C2×C73—41no—
878C2×C73—42no—
879C2×C73—81no—
880C2×C73—81no—
881C2×C73D4×#4111yescharacteristic
882C2×C73C2×#57611yescharacteristic
883C2×C73C2×#57711yescharacteristic
884D73—41no—
885D73—42no—
886D73—81no—
887D73—81no—
888#3520—731no—
889#3519—731no—
890#3397—731no—
891#3384—731no—
892#3360—731no—
893#3358—731no—
894#3354—731no—
895#3346—731no—
896#3346—731no—
897#3303—731no—
898#3297—731no—
899#3297D7311yescharacteristic, complemented
900#3295—731no—
901#3295—731no—
902#3294—731no—
903#3272—731no—
904#3264—731no—
905#3264—731no—
906#3179—731no—
907#3179—731no—
908#3167—731no—
909#3119—731no—
910#3119—731no—
911#3118—731no—
912#3118—731no—
913#3110—731no—
914#3109—731no—
915#2966—731no—
916#2946—731no—
917#2946—731no—
918C2×C4×D8—731no—
919C73#6149611yescharacteristic, complemented, Sylow
920C2×AGL(1,ℤ/8)—731no—
921C2×AGL(1,ℤ/8)—731no—
922C22×D8—731no—
923#556—731no—
924#555—731no—
925#554—731no—
926#554—731no—
927#554—731no—
928#553—731no—
929#553—1461no—
930#553C2×D7311yescharacteristic
931#552—1461no—
932#551—1461no—
933#551—1461no—
934#550—731no—
935D4×Q8—731no—
936#548—1461no—
937#547—731no—
938#547—731no—
939#546—731no—
940#546—1461no—
941#546—1461no—
942#546—1461no—
943#546C2×D7311yescharacteristic, complemented
944D42—731no—
945D42—731no—
946D42—731no—
947#542—731no—
948#542—731no—
949#540—731no—
950#540—731no—
951#539—1461no—
952#539—1461no—
953#538—1461no—
954#538—1461no—
955#533—731no—
956#532—731no—
957#529—731no—
958#525—1461no—
959#525—1461no—
960C2×C22⋊Q8—1461no—
961C2×#121—1461no—
962#520—731no—
963#520—731no—
964#518—731no—
965#518—731no—
966C2×C4×D4—731no—
967C2×C4×D4—731no—
968#501—731no—
969#501—731no—
970#498—731no—
971#496—731no—
972#496—731no—
973#492—731no—
974#488—731no—
975#488C2×D7311yescharacteristic, complemented
976#487—731no—
977#486—731no—
978#486—731no—
979#486—731no—
980#485—731no—
981#485—731no—
982#484—731no—
983#484C2×D7311yescharacteristic, complemented
984#482—731no—
985#482C2×D7311yescharacteristic, complemented
986#481—731no—
987#481—731no—
988#481—731no—
989#481—731no—
990#480—731no—
991#480—731no—
992#479—731no—
993#479—731no—
994#478—731no—
995#478C2×D7311yescharacteristic, complemented
996#476—731no—
997#476—731no—
998#476—731no—
999#476—731no—
1000#474—731no—
1001#474—731no—
1002#474—731no—
1003#474—731no—
1004#469—731no—
1005#469—731no—
1006#468—731no—
1007#468—731no—
1008#466—731no—
1009#466C2×D7311yescharacteristic, complemented
1010#465—731no—
1011#465—731no—
1012#465—731no—
1013#465—731no—
1014#465—731no—
1015#465C2×D7311yescharacteristic, complemented
1016#463—731no—
1017#463—731no—
1018#463—731no—
1019#463C2×D7311yescharacteristic, complemented
1020#461—731no—
1021#461—731no—
1022#460—731no—
1023#460—731no—
1024#459—731no—
1025#459—731no—
1026#459—731no—
1027#459—731no—
1028#450—731no—
1029#450—731no—
1030#450—731no—
1031#450—731no—
1032#449—731no—
1033#449—731no—
1034#449—731no—
1035#449C2×D7311yescharacteristic, complemented
1036#447—731no—
1037#447—731no—
1038#447—731no—
1039#447C2×D7311yescharacteristic, complemented
1040#446—731no—
1041C8×Q8—731no—
1042#442—731no—
1043#442—731no—
1044#442—731no—
1045#442—731no—
1046#442—731no—
1047#442—731no—
1048#440—731no—
1049#440—731no—
1050#440—731no—
1051#440—731no—
1052#440—731no—
1053#440—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×SD16—731no—
1058C4×SD16—731no—
1059C4×SD16—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062C4×D8—731no—
1063C4×D8—731no—
1064C4×D8—731no—
1065C4×D8—731no—
1066C4×D8—731no—
1067C4×D8—731no—
1068C4×D8—731no—
1069C4×D8C2×D7311yescharacteristic, complemented
1070#436—731no—
1071#435—731no—
1072#435—731no—
1073C8×D4—731no—
1074C8×D4—731no—
1075C8×D4C2×D7311yescharacteristic, complemented
1076#433—731no—
1077#433—731no—
1078#432—731no—
1079#428—731no—
1080#428—731no—
1081C2×#107—731no—
1082#416—731no—
1083#416C2×D7311yescharacteristic, complemented
1084C2×#102—731no—
1085C2×#102—731no—
1086C2×#102—731no—
1087C2×#102C2×D7311yescharacteristic, complemented
1088#405—731no—
1089#405—731no—
1090C2×C4×C8—731no—
1091C2×#41—731no—
1092C2×#41—1461no—
1093C2×#41—1461no—
1094C2×#41—1461no—
1095C2×#41C22×D7311yescharacteristic
1096C22×Q8—1461no—
1097C22×D4—731no—
1098C22×D4—731no—
1099C22×D4—731no—
1100C22×D4—1461no—
1101C22×D4—1461no—
1102C22×D4—1461no—
1103C22×D4C22×D7311yescharacteristic
1104C23×C4—1461no—
1105C23×C4—1461no—
1106AGL(1,ℤ/8)—1464no—
1107AGL(1,ℤ/8)—1464no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16C22×D7311yescharacteristic
1116C2×D8—731no—
1117C2×D8—731no—
1118C2×D8—731no—
1119C2×D8—731no—
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8—1464no—
1123C2×D8C22×D7311yescharacteristic
1124C2×D8C22×D7311yescharacteristic
1125C2×M16—731no—
1126C2×M16—731no—
1127C22×C8—731no—
1128C22×C8—731no—
1129C22×C8C22×D7311yescharacteristic
1130C22×C8C22×D7311yescharacteristic
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133C4⋊Q8—731no—
1134C4⋊Q8—731no—
1135C4⋊Q8—731no—
1136#127—731no—
1137#127—731no—
1138#127—731no—
1139#126—21no—
1140#126—731no—
1141#126—731no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#125—731no—
1148#125—731no—
1149#125—1461no—
1150#125—1461no—
1151#125—1461no—
1152#125C22×D7311yescharacteristic
1153#124—731no—
1154#124—731no—
1155#124—1461no—
1156#124—1461no—
1157#124—1461no—
1158#124—1461no—
1159#124—1461no—
1160#124C22×D7311yescharacteristic
1161#123—21no—
1162#123—21no—
1163#123—731no—
1164#123—731no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177C22⋊Q8—731no—
1178C22⋊Q8—731no—
1179C22⋊Q8—731no—
1180C22⋊Q8—731no—
1181C22⋊Q8—1461no—
1182C22⋊Q8—1461no—
1183C22⋊Q8—1461no—
1184C22⋊Q8—1461no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8C22×D7311yescharacteristic
1197#121—21no—
1198#121—21no—
1199#121—731no—
1200#121—731no—
1201#121—731no—
1202#121—731no—
1203#121—731no—
1204#121—731no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121C22×D7311yescharacteristic
1221#121C22×D7311yescharacteristic
1222#121C22×D7311yescharacteristic
1223#120—21no—
1224#120—1461no—
1225#120—1461no—
1226#120—1461no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—1461no—
1237C4×D4—21no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4C22×D7311yescharacteristic
1271C4×D4C22×D7311yescharacteristic
1272C4×D4C22×D7311yescharacteristic
1273#117—731no—
1274#117—731no—
1275#117—731no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117C22×D7311yescharacteristic
1282C2×C4⋊C4—731no—
1283C2×C4⋊C4—731no—
1284C2×C4⋊C4—731no—
1285C2×C4⋊C4—1461no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C4⋊C4—1461no—
1289C2×C4⋊C4C22×D7311yescharacteristic
1290C2×C22⋊C4—21no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C22⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C42—731no—
1299#107—731no—
1300#107—731no—
1301#107—731no—
1302#107—731no—
1303#107—731no—
1304#107—731no—
1305#107C22×D7311yescharacteristic
1306#107C22×D7311yescharacteristic
1307#106—731no—
1308#106—731no—
1309#106—731no—
1310#106—731no—
1311#106—731no—
1312#106—731no—
1313#106—731no—
1314#106C22×D7311yescharacteristic
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8C22×D7311yescharacteristic
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103C22×D7311yescharacteristic
1327#103C22×D7311yescharacteristic
1328#103C22×D7311yescharacteristic
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102C22×D7311yescharacteristic
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350#102C22×D7311yescharacteristic
1351#102C22×D7311yescharacteristic
1352#102C22×D7311yescharacteristic
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8—731no—
1356C22⋊C8—731no—
1357C22⋊C8C22×D7311yescharacteristic
1358C22⋊C8C22×D7311yescharacteristic
1359#97—731no—
1360#97—731no—
1361#97—731no—
1362#97—731no—
1363C4×C8—731no—
1364C4×C8—731no—
1365C4×C8—731no—
1366C4×C8—731no—
1367C4×C8—731no—
1368C4×C8C22×D7311yescharacteristic
1369C24—21no—
1370C24—1461no—
1371C24—1461no—
1372C24—1461no—
1373#41—22no—
1374#41—41no—
1375#41—2921no—
1376#41—5842no—
1377#41—5842no—
1378#41—5842no—
1379#41—1462no—
1380C2×Q8—5842no—
1381C2×Q8—731no—
1382C2×Q8—731no—
1383C2×Q8—1461no—
1384C2×Q8—1461no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8C23×D7311yescharacteristic
1388C2×D4—22no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—41no—
1395C2×D4—2921no—
1396C2×D4—2921no—
1397C2×D4—2921no—
1398C2×D4—5842no—
1399C2×D4—5842no—
1400C2×D4—5842no—
1401C2×D4—731no—
1402C2×D4—731no—
1403C2×D4—731no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—1462no—
1407C2×D4—1462no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1462no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4D4×D7311yescharacteristic
1425C2×D4C23×D7311yescharacteristic
1426C2×D4C23×D7311yescharacteristic
1427C2×D4C23×D7311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—5842no—
1433C22×C4—5842no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4C23×D7311yescharacteristic
1456C22×C4C23×D7311yescharacteristic
1457SD16—41no—
1458SD16—2921no—
1459SD16—2921no—
1460SD16—2921no—
1461SD16—1462no—
1462SD16—1462no—
1463SD16—1462no—
1464SD16—1462no—
1465D8—22no—
1466D8—41no—
1467D8—2921no—
1468D8—734no—
1469D8—1462no—
1470D8—1462no—
1471D8—1462no—
1472D8—1462no—
1473M16—1462no—
1474M16—1462no—
1475C2×C8—41no—
1476C2×C8—41no—
1477C2×C8—2921no—
1478C2×C8—731no—
1479C2×C8—731no—
1480C2×C8—731no—
1481C2×C8—731no—
1482C2×C8—1462no—
1483C2×C8C23×D7311yescharacteristic
1484C2×C8C23×D7311yescharacteristic
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—731no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4D4×D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—731no—
1541C22⋊C4—731no—
1542C22⋊C4—731no—
1543C22⋊C4—731no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4D4×D7311yescharacteristic
1570C22⋊C4D4×D7311yescharacteristic
1571C42—21no—
1572C42—731no—
1573C42—731no—
1574C42—731no—
1575C42—731no—
1576C42—731no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42C23×D7311yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—42no—
1588C23—81no—
1589C23—2922no—
1590C23—2922no—
1591C23—2922no—
1592C23—2922no—
1593C23—5841no—
1594C23—5841no—
1595C23—5841no—
1596C23—5841no—
1597C23—5841no—
1598C23—731no—
1599C23—1461no—
1600C23—1461no—
1601C23—1461no—
1602C23C2×D4×D7311yescharacteristic
1603C23C2×D4×D7311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—2922no—
1607Q8—5841no—
1608Q8—5841no—
1609Q8—5841no—
1610Q8—1462no—
1611Q8—1461no—
1612Q8—1461no—
1613D4—22no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—81no—
1623D4—81no—
1624D4—2922no—
1625D4—2922no—
1626D4—2922no—
1627D4—2922no—
1628D4—2922no—
1629D4—2922no—
1630D4—5841no—
1631D4—5841no—
1632D4—5841no—
1633D4—5841no—
1634D4—5841no—
1635D4—5841no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—732no—
1640D4—1462no—
1641D4—1462no—
1642D4—1461no—
1643D4—1461no—
1644D4—1461no—
1645D4—1461no—
1646D4—1461no—
1647D4#41×D7312yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—42no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—2922no—
1662C2×C4—2922no—
1663C2×C4—2922no—
1664C2×C4—2922no—
1665C2×C4—2922no—
1666C2×C4—5841no—
1667C2×C4—5841no—
1668C2×C4—5841no—
1669C2×C4—5841no—
1670C2×C4—5841no—
1671C2×C4—5841no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—731no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1462no—
1692C2×C4—1462no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4C2×D4×D7311yescharacteristic
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C24×D7311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—732no—
1705C8—1461no—
1706C8—1461no—
1707C8—1461no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—22no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—84no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—5844no—
1732C22—11682no—
1733C22—11682no—
1734C22—1461no—
1735C22—1461no—
1736C22—1461no—
1737C22—1462no—
1738C22#1798939412yes—
1739C22C22×D4×D7311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—2921no—
1754C4—732no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4—1461no—
1761C4C2×#41×D7311yescharacteristic
1762C4#1798942211yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—42no—
1766C2—81no—
1767C2—81no—
1768C2—2922no—
1769C2—2921no—
1770C2—5841no—
1771C2—5841no—
1772C2#2262341511yescharacteristic
1773C2#576×D7311yescharacteristic
1774C2C2×#1798939411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3297C2
socleC22×C73C23×D4
hypercenter#3297D73
hypocenterC73#61496
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. #22623967C2semidirect
2. #22623959C2semidirect
3. #22622954C2semidirect
4. #22622833C2semidirect
5. #22622577C2semidirect
6. #22622564C2semidirect
7. #22622524C2semidirect
8. #22622420C2semidirect
9. #22622416C2semidirect
10. #22621855C2semidirect
11. #22621777C2semidirect
12. #22621756C2semidirect
13. #22621750C2semidirect
14. #22621739C2semidirect
15. #22621524C2semidirect
16. #22621412C2semidirect
17. #22621404C2semidirect
18. #22620617C2semidirect
19. #22620613C2semidirect
20. #22620485C2semidirect
21. #22620135C2semidirect
22. #22620131C2semidirect
23. #22620114C2semidirect
24. #22620110C2semidirect
25. #22620027C2semidirect
26. #22620017C2semidirect
27. #22618899C2semidirect
28. #22618766C2semidirect
29. #22618756C2semidirect
30. C2×#17988667C2semidirect
31. C73×#3297C2semidirect
35. #17989306C22semidirect
36. #17989300C22semidirect
37. #17989295C22semidirect
38. #17989294C22semidirect
39. #17989293C22semidirect
45. #17989258C22semidirect
46. D4×Dic146C22semidirect
48. #17989237C22semidirect
49. #17989236C22semidirect
51. #17989231C22semidirect
56. #17989221C22semidirect
57. #17989206C22semidirect
58. #17989204C22semidirect
59. #17989193C22semidirect
60. #17989190C22semidirect
65. #17989139C22semidirect
72. #17989070C22semidirect
73. #17989066C22semidirect
74. #17989061C22semidirect
75. #17989059C22semidirect
76. C2×D4×Dic73C22semidirect
78. #17988997C22semidirect
79. #17988995C22semidirect
80. #17988984C22semidirect
81. #17988977C22semidirect
82. #17988975C22semidirect
83. #17988958C22semidirect
84. #17988940C22semidirect
85. #17988936C22semidirect
86. #17988934C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988928C22semidirect
90. #17988926C22semidirect
91. #17988922C22semidirect
92. #17988910C22semidirect
93. #17988907C22semidirect
94. #17988906C22semidirect
95. #17988906C22semidirect
96. #17988903C22semidirect
97. #17988902C22semidirect
98. #17988898C22semidirect
99. #17988892C22semidirect
100. #17988891C22semidirect
101. #17988889C22semidirect
102. #17988878C22semidirect
103. #17988876C22semidirect
104. #17988875C22semidirect
105. #17988875C22semidirect
106. #17988867C22semidirect
107. #17988866C22semidirect
108. #17988866C22semidirect
109. #17988866C22semidirect
110. #17988839C22semidirect
111. #17988838C22semidirect
112. #17988836C22semidirect
113. #17988831C22semidirect
114. #17988822C22semidirect
115. #17988819C22semidirect
116. #17988818C22semidirect
117. #17988816C22semidirect
118. #17988816C22semidirect
119. #17988814C22semidirect
121. #17988801C22semidirect
123. #17988791C22semidirect
124. #17988791C22semidirect
125. #17988788C22semidirect
126. #17988785C22semidirect
127. #17988782C22semidirect
128. #17988780C22semidirect
129. #17988780C22semidirect
130. #17988780C22semidirect
132. #17988740C22semidirect
134. #17988736C22semidirect
135. #17988733C22semidirect
136. #17988733C22semidirect
137. #17988732C22semidirect
138. #17988721C22semidirect
141. #17988716C22semidirect
142. C8×Dic146C22semidirect
143. #17988699C22semidirect
144. #17988699C22semidirect
147. #17988696C22semidirect
148. #17988696C22semidirect
149. #17988690C22semidirect
150. #17988690C22semidirect
151. #17988690C22semidirect
152. #17988687C22semidirect
153. #17988686C22semidirect
154. #17988686C22semidirect
155. #17988678C22semidirect
156. C4×#11924017C22semidirect
157. SD16×Dic73C22semidirect
158. #17988674C22semidirect
159. #17988672C22semidirect
160. #17988672C22semidirect
165. #17988667C22semidirect
166. #17988667C22semidirect
167. #17988667C22semidirect
168. #17988667C22semidirect
169. #17988667C22semidirect
170. #17988662C22semidirect
171. #17988659C22semidirect
172. #17988655C22semidirect
173. C8×C22⋊D73C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988630C22semidirect
179. #17988628C22semidirect
180. C2×#14556524C22semidirect
181. #17988580C22semidirect
183. C2×#14556513C22semidirect
184. #102×D73C22semidirect
185. #17988542C22semidirect
186. #17988541C22semidirect
187. C2×C8×Dic73C22semidirect
189. #546×C73C22semidirect
190. #488×C73C22semidirect
191. #484×C73C22semidirect
192. #482×C73C22semidirect
193. #478×C73C22semidirect
194. #466×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #447×C73C22semidirect
199. C4×D8×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #416×C73C22semidirect
202. C2×#102×C73C22semidirect
560. #11924013#41semidirect
899. #3297D73semidirect
919. C73#61496semidirect
943. #546C2×D73semidirect
975. #488C2×D73semidirect
983. #484C2×D73semidirect
985. #482C2×D73semidirect
995. #478C2×D73semidirect
1009. #466C2×D73semidirect
1015. #465C2×D73semidirect
1019. #463C2×D73semidirect
1035. #449C2×D73semidirect
1039. #447C2×D73semidirect
1069. C4×D8C2×D73semidirect
1075. C8×D4C2×D73semidirect
1083. #416C2×D73semidirect
1087. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239672
#226239592
#226229542
#226228332
#226225772
#226225642
#226225242
#226224202
#226224162
#226218552
#226217772
#226217562
#226217502
#226217392
#226215242
#226214122
#226214042
#226206172
#226206132
#226204852
#226201352
#226201312
#226201142
#226201102
#226200272
#226200172
#226188992
#226187662
#226187562
C2×#179886672
C73×#32972
#6149673