Finite Group Databasebeta

← #33968576

Subgroups — #33968576

Order 18688.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624020C211yesmaximal, characteristic, complemented
2#22623959C211yesmaximal, characteristic
3#22622910C211yesmaximal, characteristic, complemented
4#22622803C211yesmaximal, characteristic, complemented
5#22622715C211yesmaximal, characteristic, complemented
6#22622663C211yesmaximal, characteristic, complemented
7#22622340C211yesmaximal, characteristic, complemented
8#22622306C211yesmaximal, characteristic, complemented
9#22622223C211yesmaximal, characteristic, complemented
10#22622160C211yesmaximal, characteristic, complemented
11#22622100C211yesmaximal, characteristic, complemented
12#22622096C211yesmaximal, characteristic, complemented
13#22621950C211yesmaximal, characteristic, complemented
14#22621946C211yesmaximal, characteristic, complemented
15D4×#11924017C211yesmaximal, characteristic, complemented
16#22621624C211yesmaximal, characteristic, complemented
17#22621624C211yesmaximal, characteristic, complemented
18#22620561C211yesmaximal, characteristic, complemented
19#22620552C211yesmaximal, characteristic, complemented
20#22620485C211yesmaximal, characteristic, complemented
21#22620224C211yesmaximal, characteristic, complemented
22#22620218C211yesmaximal, characteristic, complemented
23#22620185C211yesmaximal, characteristic, complemented
24#22620179C211yesmaximal, characteristic, complemented
25#22620050C211yesmaximal, characteristic, complemented
26#22620027C211yesmaximal, characteristic, complemented
27#22618899C211yesmaximal, characteristic, complemented
28#22618789C211yesmaximal, characteristic, complemented
29#22618785C211yesmaximal, characteristic, complemented
30C2×#17988674C211yesmaximal, characteristic, complemented
31C73×#3337C211yesmaximal, characteristic, complemented
32C22×#11924017C2211yescharacteristic
33C22×#11924017C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989315C2211yescharacteristic, complemented
36#17989314—21no—
37#17989314C2211yescharacteristic, complemented
38#17989305C2211yescharacteristic, complemented
39#17989304—21no—
40#17989300C2211yescharacteristic
41#17989293C2211yescharacteristic
42#17989288—21no—
43#17989285C2211yescharacteristic
44#17989274—21no—
45#17989272C2211yescharacteristic, complemented
46#17989270—21no—
47#17989258C2211yescharacteristic
48D4×Dic146C2211yescharacteristic, complemented
49#17989250C2211yescharacteristic, complemented
50#17989250C2211yescharacteristic, complemented
51#17989232—21no—
52#17989229—21no—
53#17989226—21no—
54D4×D292C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989221C2211yescharacteristic
57#17989200C2211yescharacteristic, complemented
58#17989197C2211yescharacteristic, complemented
59#17989196—21no—
60#17989194—21no—
61#17989193C2211yescharacteristic
62#17989190C2211yescharacteristic
63#17989176—21no—
64#17989173—21no—
65#17989140—21no—
66#17989139C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic
68#17989117C2211yescharacteristic
69#17989114—21no—
70#17989096—21no—
71#121×D73—21no—
72#17989064C2211yescharacteristic, complemented
73#17989063C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989059C2211yescharacteristic
76C2×#14556556C2211yescharacteristic, complemented
77C2×#14556553C2211yescharacteristic
78#17988987C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988960C2211yescharacteristic, complemented
81#17988958C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic, complemented
83#17988957C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988953C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988922C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988900C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic
101#17988886C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic
103#17988881C2211yescharacteristic, complemented
104#17988881C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic
106#17988866C2211yescharacteristic, complemented
107#17988835C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988831C2211yescharacteristic, complemented
111#17988818C2211yescharacteristic, complemented
112#17988817C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988816C2211yescharacteristic, complemented
115#17988816C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988793C2211yescharacteristic
118#17988792C2211yescharacteristic, complemented
119#17988791C2211yescharacteristic
120#17988791C2211yescharacteristic
121#17988791C2211yescharacteristic, complemented
122#17988791C2211yescharacteristic, complemented
123#17988788C2211yescharacteristic, complemented
124#17988787C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic, complemented
128#17988786C2211yescharacteristic, complemented
129#17988740C2211yescharacteristic
130#17988740C2211yescharacteristic
131#17988739C2211yescharacteristic
132#17988739C2211yescharacteristic
133#17988737C2211yescharacteristic
134#17988737C2211yescharacteristic
135#17988728C2211yescharacteristic, complemented
136#17988728C2211yescharacteristic, complemented
137#17988727C2211yescharacteristic, complemented
138#17988727C2211yescharacteristic, complemented
139#17988725C2211yescharacteristic, complemented
140#17988725C2211yescharacteristic, complemented
141#17988716C2211yescharacteristic, complemented
142C8×Dic146C2211yescharacteristic, complemented
143#17988690C2211yescharacteristic
144#17988690C2211yescharacteristic, complemented
145#17988687C2211yescharacteristic, complemented
146#17988686C2211yescharacteristic
147#17988686C2211yescharacteristic
148#17988686C2211yescharacteristic, complemented
149#17988686C2211yescharacteristic, complemented
150#17988686C2211yescharacteristic, complemented
151#17988686C2211yescharacteristic, complemented
152#17988685C2211yescharacteristic
153#17988684C2211yescharacteristic, complemented
154#17988684C2211yescharacteristic, complemented
155#17988678C2211yescharacteristic, complemented
156C4×#11924017C2211yescharacteristic
157SD16×Dic73C2211yescharacteristic, complemented
158#17988674C2211yescharacteristic
159#17988674C2211yescharacteristic
160#17988674C2211yescharacteristic
161#17988674C2211yescharacteristic
162#17988674C2211yescharacteristic
163#17988674C2211yescharacteristic, complemented
164#17988674C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988674C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic, 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#17988622C2211yescharacteristic, complemented
179#17988595C2211yescharacteristic, complemented
180#17988594C2211yescharacteristic, complemented
181#17988591C2211yescharacteristic
182#17988590C2211yescharacteristic
183C2×#14556514C2211yescharacteristic, complemented
184C2×#14556511C2211yescharacteristic
185#17988542C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189#552×C73C2211yescharacteristic, complemented
190#499×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#478×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#427×C73C2211yescharacteristic, complemented
202C2×#106×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924027—21no—
205C22×Dic146C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73—21no—
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215C2×#11924017—24no—
216C2×#11924017—24no—
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232SD16×D73—24no—
233C2×#11924012C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C22×#10596831C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556591C2311yescharacteristic
238#14556590—21no—
239#14556590—21no—
240#14556590—21no—
241#14556590—21no—
242#14556590C2311yescharacteristic
243#14556590C2311yescharacteristic
244#14556589C2311yescharacteristic
245#14556589C2311yescharacteristic
246#14556588C2311yescharacteristic
247#14556587C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556586—21no—
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586D411yescharacteristic
254#14556585—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584D411yescharacteristic
259#14556583—21no—
260#14556582—21no—
261#14556582—21no—
262#14556582—21no—
263#14556582C2311yescharacteristic
264#14556582C2311yescharacteristic
265#14556581—21no—
266#14556581—21no—
267#14556581—21no—
268#14556581—21no—
269#14556581—21no—
270#14556581—21no—
271#14556581—21no—
272#14556581D411yescharacteristic
273#14556579—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577—21no—
277#14556577D411yescharacteristic
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556575—21no—
282#14556575D411yescharacteristic
283#14556574—21no—
284#14556573—21no—
285#14556572D411yescharacteristic
286#14556571—21no—
287#14556571C2311yescharacteristic
288#14556571C2311yescharacteristic
289#14556570C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568D411yescharacteristic
301#14556566—21no—
302#14556566—21no—
303#14556566—21no—
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556565—21no—
307#14556565—21no—
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563D411yescharacteristic
318#14556562—21no—
319#14556561—21no—
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556559—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326C4×Dic146—21no—
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146—21no—
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333#14556556—21no—
334#14556556—21no—
335#14556556—21no—
336#14556556—21no—
337#14556556—21no—
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340#14556556C2311yescharacteristic
341#14556556C2311yescharacteristic
342#14556556C2311yescharacteristic
343#14556556C2311yescharacteristic
344#14556556C2311yescharacteristic
345C4×D292—21no—
346C4×D292—21no—
347C4×D292C2311yescharacteristic
348D4×Dic73—21no—
349D4×Dic73C2311yescharacteristic
350#14556553—21no—
351#14556553—21no—
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356#14556553C2311yescharacteristic
357#14556553C2311yescharacteristic
358#14556553C2311yescharacteristic
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73C2311yescharacteristic
362C4×C22⋊D73C2311yescharacteristic
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556550—21no—
368#14556550C2311yescharacteristic
369#14556549—21no—
370#14556549C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556548—21no—
373#14556548—21no—
374#14556548C2311yescharacteristic
375#14556547—21no—
376#14556547—21no—
377#14556547—21no—
378C2×#11924007—21no—
379C4⋊C4×D73—21no—
380C2×#11924005—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C2×C4×Dic73—21no—
386C2×C4×Dic73C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
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×SD16×C73C2311yescharacteristic
439C22×C8×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441#126×C73—21no—
442#126×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#125×C73C2311yescharacteristic
446#123×C73—21no—
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×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—82no—
486C2×Dic146—22no—
487C2×Dic146—22no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—41no—
494C2×Dic146—41no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499Q8×D73—22no—
500Q8×D73—41no—
501C2×D292—22no—
502C2×D292—22no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—41no—
510C2×D292—41no—
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73C2×D411yescharacteristic
522C2×C22⋊D73C2×D411yescharacteristic
523D4×D73—22no—
524D4×D73—41no—
525D4×D73—82no—
526D4×D73—82no—
527D4×D73—82no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73C2×D411yescharacteristic
532C22×Dic73C2×D411yescharacteristic
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—82no—
543C2×C4×D73C2411yescharacteristic
544#11924017—22no—
545#11924017—22no—
546#11924017—22no—
547#11924017—22no—
548#11924017—22no—
549#11924017—22no—
550#11924017—41no—
551#11924017—41no—
552#11924017#4114yescomplemented
553#11924016—22no—
554#11924016—41no—
555#11924016—41no—
556#11924015—22no—
557#11924015—41no—
558#11924015—41no—
559#11924012—41no—
560#11924011—41no—
561C2×#10596831—41no—
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C8×D73—22no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2×D411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C2×Q8×C73C2411yescharacteristic
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73C2×D411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73C2411yescharacteristic
655C22×C4×C73C2411yescharacteristic
656SD16×C73—22no—
657C2×C8×C73—22no—
658C2×C8×C73—22no—
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73—21no—
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73C22×D411yescharacteristic
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—81no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708Q8×C73—21no—
709Q8×C73—21no—
710D4×C73—22no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—42no—
714D4×C73—81no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—42no—
727C2×C4×C73—81no—
728C2×C4×C73—81no—
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C2511yescharacteristic
734C22⋊D73—22no—
735C22⋊D73—22no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—81no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C2×Dic73—22no—
744C2×Dic73—21no—
745C2×Dic73—22no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—42no—
751C2×Dic73—42no—
752C2×Dic73—81no—
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760D292—21no—
761D292—21no—
762D292—21no—
763D292—21no—
764D292—21no—
765D292—42no—
766D292—42no—
767D292—81no—
768D292—81no—
769D292—81no—
770D292—81no—
771D292C2×#4112yes—
772C4×D73—21no—
773C4×D73—21no—
774C4×D73—42no—
775C4×D73—42no—
776C4×D73—42no—
777C4×D73—81no—
778C4×D73—81no—
779C4×D73—81no—
780C4×D73—81no—
781C4×D73—81no—
782C4×D73—81no—
783Dic146—21no—
784Dic146—22no—
785Dic146—21no—
786Dic146—21no—
787Dic146—21no—
788Dic146—21no—
789Dic146—42no—
790Dic146—42no—
791Dic146—42no—
792Dic146—42no—
793Dic146—81no—
794Dic146C2×#4112yes—
795C8×C73—21no—
796C8×C73—21no—
797C8×C73—21no—
798C8×C73C2×#4112yes—
799#10596831—21no—
800#10596831—21no—
801#10596831—21no—
802#10596831—21no—
803C22×C73—21no—
804C22×C73—21no—
805C22×C73—21no—
806C22×C73—21no—
807C22×C73—21no—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73#57712yes—
812C22×C73C23×D411yescharacteristic
813C2×D73—21no—
814C2×D73—22no—
815C2×D73—21no—
816C2×D73—21no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—41no—
820C2×D73—41no—
821C2×D73—41no—
822C2×D73—41no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—84no—
826C2×D73—162no—
827C2×D73—162no—
828C4×C73—21no—
829C4×C73—21no—
830C4×C73—21no—
831C4×C73—21no—
832C4×C73—41no—
833C4×C73—41no—
834C4×C73—41no—
835C4×C73—41no—
836C4×C73—41no—
837C4×C73—41no—
838C4×C73—41no—
839C4×C73C22×#4111yescharacteristic
840C4×C73#58511yescharacteristic
841Dic73—22no—
842Dic73—21no—
843Dic73—21no—
844Dic73—21no—
845Dic73—21no—
846Dic73—21no—
847Dic73—21no—
848Dic73—41no—
849Dic73—41no—
850Dic73—41no—
851Dic73—41no—
852Dic73#57712yes—
853#61481—731nomaximal, Sylow
854C2×C73—22no—
855C2×C73—41no—
856C2×C73—81no—
857C2×C73D4×#4111yescharacteristic
858C2×C73C2×#57711yescharacteristic
859C2×C73C2×#57711yescharacteristic
860D73—41no—
861D73—42no—
862D73—81no—
863D73—81no—
864#3523—731no—
865#3519—731no—
866#3392—731no—
867#3381—731no—
868#3372—731no—
869#3368—731no—
870#3340—731no—
871#3337—731no—
872#3337D7311yescharacteristic, complemented
873#3329—731no—
874#3324—731no—
875#3320—731no—
876#3320—731no—
877#3310—731no—
878#3310—731no—
879D4×SD16—731no—
880D4×SD16—731no—
881D4×SD16—731no—
882#3174—731no—
883#3174—731no—
884#3167—731no—
885#3126—731no—
886#3126—731no—
887#3123—731no—
888#3123—731no—
889#3112—731no—
890#3110—731no—
891#2966—731no—
892#2949—731no—
893#2949—731no—
894C2×C4×SD16—731no—
895C73#6148111yescharacteristic, complemented, Sylow
896C22×SD16—731no—
897C22×SD16—731no—
898C22×SD16—731no—
899#557—731no—
900#557—731no—
901#557—1461no—
902#556—731no—
903#556—1461no—
904#555—731no—
905#554—731no—
906#553—731no—
907#553—1461no—
908#553C2×D7311yescharacteristic
909#552—731no—
910#552—1461no—
911#552—1461no—
912#552C2×D7311yescharacteristic, complemented
913#550—731no—
914D4×Q8—731no—
915D4×Q8—731no—
916D4×Q8—731no—
917#546—1461no—
918#546—1461no—
919#546—1461no—
920D42—731no—
921D42—731no—
922D42—731no—
923#541—731no—
924#541—731no—
925#541—1461no—
926#541—1461no—
927#540—731no—
928#540—731no—
929#538—1461no—
930#538—1461no—
931#533—731no—
932#533—1461no—
933#532—731no—
934#529—731no—
935#529—1461no—
936#525—1461no—
937C2×#121—1461no—
938#519—731no—
939#519—731no—
940#518—731no—
941#518—731no—
942C2×C4×Q8—731no—
943C2×C4×D4—731no—
944#499—731no—
945#499C2×D7311yescharacteristic, complemented
946#498—731no—
947#492—731no—
948#492—731no—
949#492—731no—
950#491—731no—
951#491—731no—
952#490—731no—
953#490—731no—
954#487—731no—
955#486—731no—
956#485—731no—
957#485—731no—
958#485—731no—
959#485C2×D7311yescharacteristic, complemented
960#484—731no—
961#484C2×D7311yescharacteristic, complemented
962#482—731no—
963#482—731no—
964#482—731no—
965#482C2×D7311yescharacteristic, complemented
966#480—731no—
967#480C2×D7311yescharacteristic, complemented
968#479—731no—
969#479—731no—
970#479—731no—
971#479C2×D7311yescharacteristic, complemented
972#478—731no—
973#478—731no—
974#478—731no—
975#478C2×D7311yescharacteristic, complemented
976#477—731no—
977#477—731no—
978#474—731no—
979#474—731no—
980#468—731no—
981#468—731no—
982#468—731no—
983#468—731no—
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#465C2×D7311yescharacteristic, complemented
991#465C2×D7311yescharacteristic, complemented
992#461—731no—
993#461—731no—
994#461—731no—
995#461—731no—
996#461—731no—
997#461—731no—
998#460—731no—
999#460—731no—
1000#460—731no—
1001#460—731no—
1002#460—731no—
1003#460—731no—
1004#450—731no—
1005#450—731no—
1006#450—731no—
1007#450—731no—
1008#450—731no—
1009#450—731no—
1010#448—731no—
1011#448—731no—
1012#448—731no—
1013#448—731no—
1014#448—731no—
1015#448—731no—
1016#446—731no—
1017C8×Q8—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025#440—731no—
1026#440—731no—
1027#440—731no—
1028#440—731no—
1029#440—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×SD16—731no—
1036C4×SD16—731no—
1037C4×SD16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
1040C4×SD16—731no—
1041C4×SD16—731no—
1042C4×SD16—731no—
1043C4×SD16—731no—
1044C4×SD16—731no—
1045C4×SD16C2×D7311yescharacteristic, complemented
1046#436—731no—
1047#435—731no—
1048#435—731no—
1049C8×D4—731no—
1050C8×D4—731no—
1051C8×D4C2×D7311yescharacteristic, complemented
1052#433—731no—
1053#433—731no—
1054#432—731no—
1055#427—731no—
1056#427C2×D7311yescharacteristic, complemented
1057C2×#106C2×D7311yescharacteristic, complemented
1058#419—731no—
1059#419—731no—
1060#418—731no—
1061#418—731no—
1062C2×#103—731no—
1063C2×#102—731no—
1064#405—731no—
1065#405—731no—
1066C2×C4×C8—731no—
1067C2×#41—1461no—
1068C2×#41—1461no—
1069C22×Q8—731no—
1070C22×Q8—731no—
1071C22×Q8—731no—
1072C22×D4—731no—
1073C22×D4—731no—
1074C22×D4—731no—
1075C22×D4—1461no—
1076C22×D4—1461no—
1077C22×D4—1461no—
1078C23×C4—1461no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16—731no—
1083C2×SD16—731no—
1084C2×SD16—731no—
1085C2×SD16—731no—
1086C2×SD16—731no—
1087C2×SD16—731no—
1088C2×SD16—731no—
1089C2×SD16—731no—
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—1464no—
1095C2×SD16—1464no—
1096C2×SD16—1464no—
1097C2×SD16C22×D7311yescharacteristic
1098C2×M16—731no—
1099C2×M16—731no—
1100C22×C8—731no—
1101C22×C8—731no—
1102C22×C8C22×D7311yescharacteristic
1103C22×C8C22×D7311yescharacteristic
1104C4⋊Q8—731no—
1105C4⋊Q8—731no—
1106C4⋊Q8—731no—
1107C4⋊Q8—731no—
1108C4⋊Q8—731no—
1109C4⋊Q8—1461no—
1110C4⋊Q8—1461no—
1111C4⋊Q8—1461no—
1112C4⋊Q8—1461no—
1113#127—731no—
1114#127—731no—
1115#127—731no—
1116#126—21no—
1117#126—21no—
1118#126—731no—
1119#126—731no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#126—1461no—
1128#125—21no—
1129#125—731no—
1130#125—731no—
1131#125—731no—
1132#125—1461no—
1133#125—1461no—
1134#125—1461no—
1135#125—1461no—
1136#125—1461no—
1137#125—1461no—
1138#125—1461no—
1139#125—1461no—
1140#125—1461no—
1141#125—1461no—
1142#125—1461no—
1143#125C22×D7311yescharacteristic
1144#125C22×D7311yescharacteristic
1145#124—731no—
1146#124—1461no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#123—21no—
1151#123—21no—
1152#123—731no—
1153#123—731no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159#123—1461no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—731no—
1164C22⋊Q8—731no—
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⋊Q8—1461no—
1174C22⋊Q8—1461no—
1175C22⋊Q8C22×D7311yescharacteristic
1176C22⋊Q8C22×D7311yescharacteristic
1177#121—21no—
1178#121—731no—
1179#121—731no—
1180#121—731no—
1181#121—731no—
1182#121—731no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#121—1461no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121C22×D7311yescharacteristic
1197#121C22×D7311yescharacteristic
1198#120—1461no—
1199#120—1461no—
1200#120—1461no—
1201#120—1461no—
1202#120—1461no—
1203#120—1461no—
1204C4×Q8—731no—
1205C4×Q8—731no—
1206C4×Q8—731no—
1207C4×Q8—731no—
1208C4×Q8—731no—
1209C4×Q8—731no—
1210C4×Q8—731no—
1211C4×Q8—731no—
1212C4×Q8—731no—
1213C4×Q8—731no—
1214C4×Q8—1461no—
1215C4×Q8—1461no—
1216C4×Q8—1461no—
1217C4×Q8—1461no—
1218C4×Q8—1461no—
1219C4×Q8—1461no—
1220C4×Q8—1461no—
1221C4×Q8—1461no—
1222C4×Q8—1461no—
1223C4×Q8—1461no—
1224C4×Q8C22×D7311yescharacteristic
1225C4×D4—21no—
1226C4×D4—731no—
1227C4×D4—731no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4C22×D7311yescharacteristic
1249C4×D4C22×D7311yescharacteristic
1250#117—21no—
1251#117—731no—
1252#117—731no—
1253#117—731no—
1254#117—731no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117C22×D7311yescharacteristic
1263#117C22×D7311yescharacteristic
1264C2×C4⋊C4—1461no—
1265C2×C4⋊C4—1461no—
1266C2×C4⋊C4C22×D7311yescharacteristic
1267C2×C4⋊C4C22×D7311yescharacteristic
1268C2×C22⋊C4—1461no—
1269C2×C22⋊C4—1461no—
1270C2×C22⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C42—731no—
1274C2×C42—1461no—
1275#107—731no—
1276#107—731no—
1277#107—731no—
1278#107—731no—
1279#107C22×D7311yescharacteristic
1280#107C22×D7311yescharacteristic
1281#107C22×D7311yescharacteristic
1282#107C22×D7311yescharacteristic
1283#106—731no—
1284#106—731no—
1285#106—731no—
1286#106C22×D7311yescharacteristic
1287#106C22×D7311yescharacteristic
1288#106C22×D7311yescharacteristic
1289#106C22×D7311yescharacteristic
1290#106C22×D7311yescharacteristic
1291C4⋊C8—731no—
1292C4⋊C8—731no—
1293C4⋊C8—731no—
1294C4⋊C8—731no—
1295C4⋊C8—731no—
1296C4⋊C8C22×D7311yescharacteristic
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103—731no—
1303#103—731no—
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103C22×D7311yescharacteristic
1311#103C22×D7311yescharacteristic
1312#103C22×D7311yescharacteristic
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102C22×D7311yescharacteristic
1327#102C22×D7311yescharacteristic
1328#102C22×D7311yescharacteristic
1329C22⋊C8—731no—
1330C22⋊C8—731no—
1331C22⋊C8—731no—
1332C22⋊C8—731no—
1333C22⋊C8C22×D7311yescharacteristic
1334C22⋊C8C22×D7311yescharacteristic
1335#97—731no—
1336#97—731no—
1337#97—731no—
1338#97—731no—
1339C4×C8—731no—
1340C4×C8—731no—
1341C4×C8—731no—
1342C4×C8—731no—
1343C4×C8—731no—
1344C4×C8C22×D7311yescharacteristic
1345C24—1461no—
1346C24—1461no—
1347C24—1461no—
1348#41—5842no—
1349#41—5842no—
1350C2×Q8—2921no—
1351C2×Q8—2921no—
1352C2×Q8—2921no—
1353C2×Q8—731no—
1354C2×Q8—731no—
1355C2×Q8—731no—
1356C2×Q8—731no—
1357C2×Q8—1462no—
1358C2×Q8—1462no—
1359C2×Q8—1461no—
1360C2×Q8—1461no—
1361C2×Q8—1461no—
1362C2×Q8—1462no—
1363C2×Q8—1461no—
1364C2×Q8—1461no—
1365C2×Q8C23×D7311yescharacteristic
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—2921no—
1369C2×D4—2921no—
1370C2×D4—2921no—
1371C2×D4—5842no—
1372C2×D4—5842no—
1373C2×D4—5842no—
1374C2×D4—731no—
1375C2×D4—731no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—1462no—
1380C2×D4—1462no—
1381C2×D4—1461no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1462no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4D4×D7311yescharacteristic
1396C2×D4C23×D7311yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—5842no—
1401C22×C4—731no—
1402C22×C4—731no—
1403C22×C4—731no—
1404C22×C4—1461no—
1405C22×C4—1461no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4—1461no—
1410C22×C4—1461no—
1411C22×C4—1461no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4C23×D7311yescharacteristic
1417C22×C4C23×D7311yescharacteristic
1418SD16—22no—
1419SD16—2921no—
1420SD16—2921no—
1421SD16—2921no—
1422SD16—2921no—
1423SD16—2921no—
1424SD16—2921no—
1425SD16—734no—
1426SD16—1462no—
1427SD16—1462no—
1428SD16—1462no—
1429SD16—1462no—
1430SD16—1462no—
1431SD16—1462no—
1432SD16—1462no—
1433SD16—1462no—
1434M16—2921no—
1435M16—2921no—
1436C2×C8—22no—
1437C2×C8—22no—
1438C2×C8—2921no—
1439C2×C8—731no—
1440C2×C8—731no—
1441C2×C8—731no—
1442C2×C8—731no—
1443C2×C8—1462no—
1444C2×C8C23×D7311yescharacteristic
1445C2×C8C23×D7311yescharacteristic
1446C2×C8C23×D7311yescharacteristic
1447C2×C8C23×D7311yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—731no—
1458C4⋊C4—731no—
1459C4⋊C4—731no—
1460C4⋊C4—731no—
1461C4⋊C4—731no—
1462C4⋊C4—731no—
1463C4⋊C4—731no—
1464C4⋊C4—731no—
1465C4⋊C4—731no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1494C4⋊C4C23×D7311yescharacteristic
1495C4⋊C4C23×D7311yescharacteristic
1496C4⋊C4C23×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—731no—
1508C22⋊C4—731no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—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⋊C4D4×D7311yescharacteristic
1535C22⋊C4D4×D7311yescharacteristic
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—731no—
1540C42—731no—
1541C42—731no—
1542C42—731no—
1543C42—731no—
1544C42—1461no—
1545C42—1461no—
1546C42—1461no—
1547C42—1461no—
1548C42—1461no—
1549C42—1461no—
1550C42—1461no—
1551C42—1461no—
1552C42—1461no—
1553C42—1461no—
1554C42—1461no—
1555C42C23×D7311yescharacteristic
1556C23—21no—
1557C23—2922no—
1558C23—2922no—
1559C23—2922no—
1560C23—2922no—
1561C23—5841no—
1562C23—5841no—
1563C23—5841no—
1564C23—5841no—
1565C23—5841no—
1566C23—731no—
1567C23—1461no—
1568C23—1461no—
1569C23—1461no—
1570C23C2×D4×D7311yescharacteristic
1571C23C2×D4×D7311yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—2922no—
1575Q8—2922no—
1576Q8—2922no—
1577Q8—2922no—
1578Q8—5841no—
1579Q8—732no—
1580Q8—1462no—
1581Q8—1461no—
1582Q8—1461no—
1583Q8—1461no—
1584Q8—1461no—
1585Q8—1461no—
1586D4—22no—
1587D4—21no—
1588D4—21no—
1589D4—42no—
1590D4—81no—
1591D4—2922no—
1592D4—2922no—
1593D4—2922no—
1594D4—2922no—
1595D4—2922no—
1596D4—5841no—
1597D4—5841no—
1598D4—5841no—
1599D4—5841no—
1600D4—5841no—
1601D4—5841no—
1602D4—5841no—
1603D4—5841no—
1604D4—732no—
1605D4—1462no—
1606D4—1462no—
1607D4—1461no—
1608D4—1461no—
1609D4—1461no—
1610D4—1461no—
1611D4—1461no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—42no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—2922no—
1627C2×C4—2922no—
1628C2×C4—2922no—
1629C2×C4—2922no—
1630C2×C4—2922no—
1631C2×C4—5841no—
1632C2×C4—5841no—
1633C2×C4—5841no—
1634C2×C4—5841no—
1635C2×C4—5841no—
1636C2×C4—5841no—
1637C2×C4—5841no—
1638C2×C4—731no—
1639C2×C4—731no—
1640C2×C4—731no—
1641C2×C4—731no—
1642C2×C4—731no—
1643C2×C4—731no—
1644C2×C4—731no—
1645C2×C4—1461no—
1646C2×C4—1461no—
1647C2×C4—1461no—
1648C2×C4—1461no—
1649C2×C4—1462no—
1650C2×C4—1462no—
1651C2×C4—1461no—
1652C2×C4—1461no—
1653C2×C4—1461no—
1654C2×C4C2×D4×D7311yescharacteristic
1655C2×C4C2×D4×D7311yescharacteristic
1656C2×C4C2×D4×D7311yescharacteristic
1657C2×C4C2×D4×D7311yescharacteristic
1658C2×C4C24×D7311yescharacteristic
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—1461no—
1663C8—1461no—
1664C8—1461no—
1665C8—1461no—
1666C8#41×D7312yes—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—2921no—
1676C22—2921no—
1677C22—2921no—
1678C22—2921no—
1679C22—2921no—
1680C22—2921no—
1681C22—2921no—
1682C22—2921no—
1683C22—5844no—
1684C22—11682no—
1685C22—11682no—
1686C22—1461no—
1687C22—1461no—
1688C22—1461no—
1689C22—1462no—
1690C22#1798939412yes—
1691C22C22×D4×D7311yescharacteristic
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—2921no—
1704C4—2921no—
1705C4—2921no—
1706C4—2921no—
1707C4—732no—
1708C4—1461no—
1709C4—1461no—
1710C4—1461no—
1711C4—1461no—
1712C4—1461no—
1713C4—1462no—
1714C4—1461no—
1715C4C2×#41×D7311yescharacteristic
1716C4#1798942411yescharacteristic
1717C2—22no—
1718C2—41no—
1719C2—81no—
1720C2—2922no—
1721C2—2921no—
1722C2—5841no—
1723C2—5841no—
1724C2#2262341811yescharacteristic
1725C2#577×D7311yescharacteristic
1726C2C2×#1798939411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3337C2
socleC22×C73C23×D4
prime radical#22623959C2
hypercenter#3337D73
hypocenterC73#61481
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3337

Complements

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

NH ≅ G/Ntype
1. #22624020C2semidirect
3. #22622910C2semidirect
4. #22622803C2semidirect
5. #22622715C2semidirect
6. #22622663C2semidirect
7. #22622340C2semidirect
8. #22622306C2semidirect
9. #22622223C2semidirect
10. #22622160C2semidirect
11. #22622100C2semidirect
12. #22622096C2semidirect
13. #22621950C2semidirect
14. #22621946C2semidirect
15. D4×#11924017C2semidirect
16. #22621624C2semidirect
17. #22621624C2semidirect
18. #22620561C2semidirect
19. #22620552C2semidirect
20. #22620485C2semidirect
21. #22620224C2semidirect
22. #22620218C2semidirect
23. #22620185C2semidirect
24. #22620179C2semidirect
25. #22620050C2semidirect
26. #22620027C2semidirect
27. #22618899C2semidirect
28. #22618789C2semidirect
29. #22618785C2semidirect
30. C2×#17988674C2semidirect
31. C73×#3337C2semidirect
35. #17989315C22semidirect
37. #17989314C22semidirect
38. #17989305C22semidirect
45. #17989272C22semidirect
48. D4×Dic146C22semidirect
49. #17989250C22semidirect
50. #17989250C22semidirect
57. #17989200C22semidirect
58. #17989197C22semidirect
66. #17989139C22semidirect
72. #17989064C22semidirect
73. #17989063C22semidirect
76. C2×#14556556C22semidirect
78. #17988987C22semidirect
79. #17988984C22semidirect
80. #17988960C22semidirect
81. #17988958C22semidirect
82. #17988958C22semidirect
83. #17988957C22semidirect
84. #17988954C22semidirect
85. #17988953C22semidirect
86. #17988950C22semidirect
87. #17988936C22semidirect
88. #17988932C22semidirect
89. #17988931C22semidirect
90. #17988930C22semidirect
91. #17988928C22semidirect
92. #17988922C22semidirect
93. #17988914C22semidirect
94. #17988913C22semidirect
95. #17988911C22semidirect
96. #17988900C22semidirect
97. #17988897C22semidirect
98. #17988893C22semidirect
99. #17988891C22semidirect
101. #17988886C22semidirect
103. #17988881C22semidirect
104. #17988881C22semidirect
106. #17988866C22semidirect
107. #17988835C22semidirect
108. #17988834C22semidirect
109. #17988834C22semidirect
110. #17988831C22semidirect
111. #17988818C22semidirect
112. #17988817C22semidirect
113. #17988817C22semidirect
114. #17988816C22semidirect
115. #17988816C22semidirect
116. #17988814C22semidirect
118. #17988792C22semidirect
121. #17988791C22semidirect
122. #17988791C22semidirect
123. #17988788C22semidirect
124. #17988787C22semidirect
125. #17988786C22semidirect
126. #17988786C22semidirect
127. #17988786C22semidirect
128. #17988786C22semidirect
135. #17988728C22semidirect
136. #17988728C22semidirect
137. #17988727C22semidirect
138. #17988727C22semidirect
139. #17988725C22semidirect
140. #17988725C22semidirect
141. #17988716C22semidirect
142. C8×Dic146C22semidirect
144. #17988690C22semidirect
145. #17988687C22semidirect
148. #17988686C22semidirect
149. #17988686C22semidirect
150. #17988686C22semidirect
151. #17988686C22semidirect
153. #17988684C22semidirect
154. #17988684C22semidirect
155. #17988678C22semidirect
157. SD16×Dic73C22semidirect
163. #17988674C22semidirect
164. #17988674C22semidirect
165. #17988674C22semidirect
166. #17988674C22semidirect
167. #17988674C22semidirect
168. #17988674C22semidirect
169. #17988672C22semidirect
170. #17988662C22semidirect
171. #17988659C22semidirect
172. #17988655C22semidirect
173. C8×C22⋊D73C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988622C22semidirect
179. #17988595C22semidirect
180. #17988594C22semidirect
183. C2×#14556514C22semidirect
185. #17988542C22semidirect
186. #17988541C22semidirect
187. C2×C8×Dic73C22semidirect
189. #552×C73C22semidirect
190. #499×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #482×C73C22semidirect
194. #480×C73C22semidirect
195. #479×C73C22semidirect
196. #478×C73C22semidirect
197. #465×C73C22semidirect
198. #465×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #427×C73C22semidirect
202. C2×#106×C73C22semidirect
552. #11924017#41semidirect
872. #3337D73semidirect
895. C73#61481semidirect
912. #552C2×D73semidirect
945. #499C2×D73semidirect
959. #485C2×D73semidirect
961. #484C2×D73semidirect
965. #482C2×D73semidirect
967. #480C2×D73semidirect
971. #479C2×D73semidirect
975. #478C2×D73semidirect
990. #465C2×D73semidirect
991. #465C2×D73semidirect
1045. C4×SD16C2×D73semidirect
1051. C8×D4C2×D73semidirect
1056. #427C2×D73semidirect
1057. C2×#106C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240202
#226239592
#226229102
#226228032
#226227152
#226226632
#226223402
#226223062
#226222232
#226221602
#226221002
#226220962
#226219502
#226219462
D4×#119240172
#226216242
#226205612
#226205522
#226204852
#226202242
#226202182
#226201852
#226201792
#226200502
#226200272
#226188992
#226187892
#226187852
C2×#179886742
C73×#33372
#6148173