Finite Group Databasebeta

← #33969092

Subgroups — #33969092

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624034C211yesmaximal, characteristic, complemented
2#22623961C211yesmaximal, characteristic, complemented
3#22622978C211yesmaximal, characteristic, complemented
4#22622882C211yesmaximal, characteristic, complemented
5#22622679C211yesmaximal, characteristic, complemented
6#22622657C211yesmaximal, characteristic, complemented
7#22622490C211yesmaximal, characteristic, complemented
8#22622437C211yesmaximal, characteristic, complemented
9#22622437C211yesmaximal, characteristic, complemented
10#22622190C211yesmaximal, characteristic, complemented
11#22622168C211yesmaximal, characteristic, complemented
12#22622112C211yesmaximal, characteristic, complemented
13#22622067C211yesmaximal, characteristic, complemented
14#22621951C211yesmaximal, characteristic, complemented
15#22621936C211yesmaximal, characteristic, complemented
16#22621550C211yesmaximal, characteristic, complemented
17#22621423C211yesmaximal, characteristic, complemented
18#22621423C211yesmaximal, characteristic, complemented
19#22620618C211yesmaximal, characteristic, complemented
20#22620524C211yesmaximal, characteristic, complemented
21#22620217C211yesmaximal, characteristic, complemented
22#22620169C211yesmaximal, characteristic, complemented
23#22620134C211yesmaximal, characteristic, complemented
24#22620113C211yesmaximal, characteristic, complemented
25#22620078C211yesmaximal, characteristic, complemented
26#22620067C211yesmaximal, characteristic, complemented
27#22618912C211yesmaximal, characteristic, complemented
28#22618792C211yesmaximal, characteristic, complemented
29#22618756C211yesmaximal, characteristic, complemented
30C4×#14556615C211yesmaximal, characteristic, complemented
31C73×#3176C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C22×#11924017C2211yescharacteristic
35#17989323C2211yescharacteristic, complemented
36#17989321—21no—
37#17989314C2211yescharacteristic, complemented
38#17989301—21no—
39#17989301C2211yescharacteristic
40#17989301C2211yescharacteristic, complemented
41#17989293C2211yescharacteristic
42#17989290C2211yescharacteristic
43#17989284C2211yescharacteristic
44#17989284C2211yescharacteristic, complemented
45#17989282—21no—
46#17989280—21no—
47#17989275C2211yescharacteristic, complemented
48#17989274—21no—
49#17989257C2211yescharacteristic
50#17989257C2211yescharacteristic, complemented
51#17989243C2211yescharacteristic, complemented
52#17989243C2211yescharacteristic, complemented
53#17989234—21no—
54#17989229—21no—
55#17989226—21no—
56#17989222C2211yescharacteristic
57#17989221C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989205—21no—
60#17989202C2211yescharacteristic, complemented
61#17989188C2211yescharacteristic
62#17989187—21no—
63#17989173—21no—
64#17989169—21no—
65#17989134C2211yescharacteristic
66#17989119C2211yescharacteristic, complemented
67#17989118—21no—
68#17989115C2211yescharacteristic
69#17989114—21no—
70#17989095—21no—
71#121×D73—21no—
72#17989066C2211yescharacteristic, complemented
73#17989064C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989059C2211yescharacteristic
76C4×#11924027C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic
78#17988995C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988975C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic, complemented
83#17988945C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988931C2211yescharacteristic, complemented
87#17988919C2211yescharacteristic, complemented
88#17988913C2211yescharacteristic, complemented
89#17988909C2211yescharacteristic, complemented
90#17988909C2211yescharacteristic, complemented
91#17988908C2211yescharacteristic, complemented
92#17988908C2211yescharacteristic, complemented
93#17988908C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988899C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988897C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic
102#17988885C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988884C2211yescharacteristic
105#17988884C2211yescharacteristic, complemented
106#17988876C2211yescharacteristic
107#17988871C2211yescharacteristic, complemented
108#17988865C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic, complemented
111#17988837C2211yescharacteristic, complemented
112#17988837C2211yescharacteristic, complemented
113#17988834C2211yescharacteristic, complemented
114#17988834C2211yescharacteristic, complemented
115#17988832C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic, complemented
118#17988801C2211yescharacteristic
119#17988801C2211yescharacteristic
120#17988800C2211yescharacteristic, complemented
121#17988800C2211yescharacteristic, complemented
122#17988786C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic, complemented
124#17988784C2211yescharacteristic, complemented
125#17988784C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988780C2211yescharacteristic, complemented
128#17988779C2211yescharacteristic
129#17988779C2211yescharacteristic, complemented
130#17988739C2211yescharacteristic
131#17988739C2211yescharacteristic
132#17988733C2211yescharacteristic, complemented
133#17988733C2211yescharacteristic, complemented
134#17988729C2211yescharacteristic, complemented
135#17988729C2211yescharacteristic, complemented
136#17988725C2211yescharacteristic, complemented
137#17988725C2211yescharacteristic, complemented
138#17988720C2211yescharacteristic
139#17988720C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988719C2211yescharacteristic
142#17988717C2211yescharacteristic, complemented
143#17988715C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic, complemented
145#17988699C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic
147#17988697C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic
149#17988689C2211yescharacteristic
150#17988689C2211yescharacteristic
151#17988689C2211yescharacteristic, complemented
152#17988689C2211yescharacteristic, complemented
153#17988687C2211yescharacteristic, complemented
154#17988687C2211yescharacteristic, complemented
155#17988686C2211yescharacteristic
156#17988686C2211yescharacteristic
157#17988684C2211yescharacteristic, complemented
158#17988678C2211yescharacteristic, complemented
159C4×#11924017C2211yescharacteristic
160C4×#11924017C2211yescharacteristic
161C4×#11924017C2211yescharacteristic, complemented
162C4×#11924017C2211yescharacteristic, complemented
163C4×#11924016C2211yescharacteristic, complemented
164C4×#11924016C2211yescharacteristic, complemented
165C4×#11924013C2211yescharacteristic
166C4×#11924013C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic
168#17988666C2211yescharacteristic, complemented
169#17988663C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988628C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988625C2211yescharacteristic, complemented
180#17988597C2211yescharacteristic, complemented
181#17988593C2211yescharacteristic
182#17988590C2211yescharacteristic
183#17988585C2211yescharacteristic, complemented
184#17988580C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic
186#17988541C2211yescharacteristic, complemented
187C4×#11924011C2211yescharacteristic, complemented
188#540×C73C2211yescharacteristic
189#540×C73C2211yescharacteristic, complemented
190#499×C73C2211yescharacteristic, complemented
191#493×C73C2211yescharacteristic, complemented
192#490×C73C2211yescharacteristic, complemented
193#490×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#469×C73C2211yescharacteristic, complemented
196#466×C73C2211yescharacteristic, complemented
197#466×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200C4×D8×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#405×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924027—21no—
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×Dic146C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73—21no—
211C2×D4×D73—21no—
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215#14556615—24no—
216#14556615—24no—
217C2×#11924017—24no—
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556590—21no—
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556587—21no—
238#14556587C2311yescharacteristic
239#14556587C2311yescharacteristic
240#14556586—21no—
241#14556586—21no—
242#14556586D411yescharacteristic
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584D411yescharacteristic
248#14556582—21no—
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581D411yescharacteristic
254#14556578—21no—
255#14556578—21no—
256#14556578—21no—
257#14556578C2311yescharacteristic
258#14556578C2311yescharacteristic
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577D411yescharacteristic
266#14556576—21no—
267#14556576—21no—
268#14556576D411yescharacteristic
269#14556574—21no—
270#14556574—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573D411yescharacteristic
274#14556572—21no—
275#14556572—21no—
276#14556572—21no—
277#14556572—21no—
278#14556571—21no—
279#14556571C2311yescharacteristic
280#14556571C2311yescharacteristic
281#14556570—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569D411yescharacteristic
285#14556568—21no—
286#14556568—21no—
287#14556566—21no—
288#14556566C2311yescharacteristic
289#14556566C2311yescharacteristic
290#14556565—21no—
291#14556564—21no—
292#14556564—21no—
293#14556564—21no—
294#14556564—21no—
295#14556564D411yescharacteristic
296#14556563—21no—
297#14556563—21no—
298#14556563—21no—
299#14556563—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556562—21no—
305#14556562—21no—
306#14556562—21no—
307#14556562—21no—
308#14556562C2311yescharacteristic
309#14556562C2311yescharacteristic
310#14556562C2311yescharacteristic
311#14556562C2311yescharacteristic
312#14556561—21no—
313#14556561—21no—
314#14556559—21no—
315#14556559—21no—
316#14556559—21no—
317#14556559—21no—
318C4×Dic146C2311yescharacteristic
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323#14556556—21no—
324#14556556—21no—
325#14556556—21no—
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73C2311yescharacteristic
353C4×C22⋊D73C2311yescharacteristic
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556550—21no—
361#14556550C2311yescharacteristic
362#14556550C2311yescharacteristic
363#14556549—21no—
364#14556549C2311yescharacteristic
365#14556549C2311yescharacteristic
366#14556548C2311yescharacteristic
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547—21no—
371#14556547—21no—
372#14556547—21no—
373C2×#11924007—21no—
374C4⋊C4×D73—21no—
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C2×#11924005—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C42×D73C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C4×#10596831C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440C2×D8×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×M16×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444#127×C73C2311yescharacteristic
445#127×C73C2311yescharacteristic
446#125×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448#123×C73—21no—
449#123×C73—21no—
450#123×C73—21no—
451#123×C73—21no—
452#121×C73—21no—
453#121×C73—21no—
454#121×C73—21no—
455#121×C73—21no—
456#121×C73C2311yescharacteristic
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464#117×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924028—82no—
485#11924027—22no—
486#11924027—22no—
487#11924027—41no—
488#11924027—41no—
489#11924027—82no—
490C2×Dic146—22no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—41no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×D292—22no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—41no—
503C2×D292C2×D411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
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—22no—
522D4×D73—41no—
523D4×D73—41no—
524D4×D73—82no—
525D4×D73—82no—
526D4×D73—82no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—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×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546C2×C4×D73C2411yescharacteristic
547#11924017—22no—
548#11924017—22no—
549#11924017—22no—
550#11924017#4114yescomplemented
551#11924016—22no—
552#11924016—22no—
553#11924016—41no—
554#11924016—41no—
555#11924013—22no—
556#11924013—22no—
557#11924013—41no—
558#11924013—41no—
559#11924011—22no—
560#11924011—22no—
561#11924011—41no—
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C8×D73—41no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73C2×D411yescharacteristic
610C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629C4×Dic73—21no—
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×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73C2411yescharacteristic
660D8×C73—22no—
661D8×C73—22no—
662D8×C73—41no—
663D8×C73—41no—
664M16×C73—41no—
665C2×C8×C73—22no—
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73C2×D411yescharacteristic
689C22⋊C4×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C23×C73C22×D411yescharacteristic
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73C22×D411yescharacteristic
709C22×D73C22×D411yescharacteristic
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—81no—
719D4×C73—81no—
720D4×C73—81no—
721D4×C73—81no—
722D4×C73—81no—
723D4×C73—81no—
724D4×C73—81no—
725D4×C73—81no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—81no—
733C2×C4×C73—81no—
734C2×C4×C73—81no—
735C2×C4×C73—81no—
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C2511yescharacteristic
742C22⋊D73—41no—
743C22⋊D73—41no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—42no—
763C2×Dic73—42no—
764C2×Dic73—42no—
765C2×Dic73—42no—
766C2×Dic73—81no—
767C2×Dic73—81no—
768C2×Dic73—81no—
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775D292—21no—
776D292—21no—
777D292—21no—
778D292—41no—
779D292—42no—
780D292—42no—
781D292—81no—
782D292C2×#4112yes—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—21no—
787C4×D73—41no—
788C4×D73—41no—
789C4×D73—42no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797Dic146—21no—
798Dic146—21no—
799Dic146—21no—
800Dic146—41no—
801Dic146—42no—
802Dic146—81no—
803Dic146—81no—
804Dic146C2×#4112yes—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73C2×#4112yes—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73C23×D411yescharacteristic
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—22no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—84no—
842C2×D73—162no—
843C2×D73—162no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73C22×#4111yescharacteristic
854C4×C73#58511yescharacteristic
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—22no—
860Dic73—21no—
861Dic73—21no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—81no—
870C2×C73—81no—
871C2×C73—81no—
872C2×C73—81no—
873C2×C73D4×#4111yescharacteristic
874C2×C73#358511yescharacteristic
875C2×C73#358511yescharacteristic
876D73—41no—
877D73—41no—
878D73—42no—
879D73—81no—
880#3524—731no—
881#3519—731no—
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368—731no—
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321—731no—
892#3318—731no—
893#3310—731no—
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176D7311yescharacteristic, complemented
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949—731no—
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16—731no—
915#559—731no—
916#559—1461no—
917#557—731no—
918#555—731no—
919#555—731no—
920#555—1461no—
921#554—731no—
922#553—731no—
923#553—731no—
924#553—731no—
925#553—1461no—
926#553—1461no—
927#552—731no—
928#552—1461no—
929#550—731no—
930#550—731no—
931#548—731no—
932#548—731no—
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42—731no—
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—1461no—
943#540C2×D7311yescharacteristic
944#540C2×D7311yescharacteristic, complemented
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#525—1461no—
953C2×#121—1461no—
954#520—731no—
955#519—731no—
956#518—731no—
957#518—731no—
958C4×#41—731no—
959C2×C4×D4—731no—
960#501—731no—
961#501—731no—
962#499C2×D7311yescharacteristic, complemented
963#496—731no—
964#496—731no—
965#493C2×D7311yescharacteristic, complemented
966#490—731no—
967#490C2×D7311yescharacteristic, complemented
968#490C2×D7311yescharacteristic, complemented
969#489—731no—
970#488—731no—
971#486—731no—
972#485—731no—
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#481—731no—
982#480—731no—
983#480—731no—
984#479—731no—
985#479—731no—
986#479—731no—
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478—731no—
992#476—731no—
993#475—731no—
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469C2×D7311yescharacteristic, complemented
1000#469C2×D7311yescharacteristic, complemented
1001#468—731no—
1002#468—731no—
1003#468—731no—
1004#466—731no—
1005#466C2×D7311yescharacteristic, complemented
1006#466C2×D7311yescharacteristic, complemented
1007#465—731no—
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446—731no—
1033#446—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442C2×D7311yescharacteristic, complemented
1040#442C2×D7311yescharacteristic, complemented
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8C2×D7311yescharacteristic, complemented
1061C4×D8C2×D7311yescharacteristic, complemented
1062#436—731no—
1063#436—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428—731no—
1072#428—731no—
1073#427—731no—
1074#419—731no—
1075#418—731no—
1076#418—731no—
1077#417—731no—
1078#416—731no—
1079C2×#102—731no—
1080#405—731no—
1081#405C2×D7311yescharacteristic, complemented
1082C4×M16—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C22×Q8—731no—
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4—1461no—
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×SD16—731no—
1105C2×SD16—1464no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8C22×D7311yescharacteristic
1111C2×D8C22×D7311yescharacteristic
1112C2×D8C22×D7311yescharacteristic
1113C2×D8C22×D7311yescharacteristic
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16C22×D7311yescharacteristic
1118C22×C8—731no—
1119C22×C8C22×D7311yescharacteristic
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—1461no—
1123#127—731no—
1124#127—731no—
1125#127—1461no—
1126#127C22×D7311yescharacteristic
1127#127C22×D7311yescharacteristic
1128#126—731no—
1129#126—731no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#125—731no—
1137#125—731no—
1138#125—731no—
1139#125—1461no—
1140#125—1461no—
1141#125—1461no—
1142#125C22×D7311yescharacteristic
1143#125C22×D7311yescharacteristic
1144#124—731no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—731no—
1161#123—731no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172C22⋊Q8—731no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121C22×D7311yescharacteristic
1211#121C22×D7311yescharacteristic
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—1461no—
1228C4×Q8—1461no—
1229C4×Q8—1461no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—731no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—1461no—
1283C2×C4⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—1461no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106C22×D7311yescharacteristic
1306#106C22×D7311yescharacteristic
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102C22×D7311yescharacteristic
1338#102C22×D7311yescharacteristic
1339#102C22×D7311yescharacteristic
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8—731no—
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97C22×D7311yescharacteristic
1356#97C22×D7311yescharacteristic
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8C22×D7311yescharacteristic
1360C4×C8C22×D7311yescharacteristic
1361C24—1461no—
1362C24—1461no—
1363C24—1461no—
1364#41—2921no—
1365#41—2921no—
1366#41—5842no—
1367#41—5842no—
1368#41—1462no—
1369#41—1462no—
1370C2×Q8—2921no—
1371C2×Q8—731no—
1372C2×Q8—731no—
1373C2×Q8—731no—
1374C2×Q8—1462no—
1375C2×Q8—1461no—
1376C2×Q8—1461no—
1377C2×Q8—1461no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—2921no—
1387C2×D4—2921no—
1388C2×D4—2921no—
1389C2×D4—5842no—
1390C2×D4—5842no—
1391C2×D4—5842no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—731no—
1396C2×D4—731no—
1397C2×D4—1461no—
1398C2×D4—1462no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
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×D4C23×D7311yescharacteristic
1416C2×D4C23×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—5842no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4C23×D7311yescharacteristic
1444SD16—2921no—
1445SD16—2921no—
1446SD16—734no—
1447SD16—1462no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—22no—
1453D8—22no—
1454D8—41no—
1455D8—41no—
1456D8—2921no—
1457D8—2921no—
1458D8—1462no—
1459D8—1462no—
1460M16—41no—
1461M16—2921no—
1462M16—1462no—
1463M16—1462no—
1464C2×C8—22no—
1465C2×C8—2921no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—731no—
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4D4×D7311yescharacteristic
1507C4⋊C4D4×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1555C22⋊C4D4×D7311yescharacteristic
1556C42—731no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42C23×D7311yescharacteristic
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—2922no—
1577C23—2922no—
1578C23—2922no—
1579C23—2922no—
1580C23—5841no—
1581C23—5841no—
1582C23—5841no—
1583C23—5841no—
1584C23—5841no—
1585C23—731no—
1586C23—731no—
1587C23—1461no—
1588C23—1461no—
1589C23C2×D4×D7311yescharacteristic
1590Q8—2922no—
1591Q8—2921no—
1592Q8—5841no—
1593Q8—5841no—
1594Q8—732no—
1595Q8—1461no—
1596Q8—1461no—
1597Q8—1461no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—2922no—
1615D4—2921no—
1616D4—2922no—
1617D4—2922no—
1618D4—2921no—
1619D4—2921no—
1620D4—2922no—
1621D4—2922no—
1622D4—2922no—
1623D4—2922no—
1624D4—2922no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—732no—
1633D4—1461no—
1634D4—1461no—
1635D4—1461no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—2921no—
1647C2×C4—2921no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—731no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C8#41×D7312yes—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—5844no—
1714C22—11682no—
1715C22—11682no—
1716C22—1461no—
1717C22—1461no—
1718C22—1462no—
1719C22—1461no—
1720C22—1461no—
1721C22—1461no—
1722C22—1461no—
1723C22C22×D4×D7311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—1462no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C2×#41×D7311yescharacteristic
1746C4#1798942311yescharacteristic
1747C2—41no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2—2922no—
1753C2—2921no—
1754C2—2921no—
1755C2—5841no—
1756C2#2262341711yescharacteristic
1757C2#2262470611yescharacteristic
1758C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3176C2
socleC22×C73C23×D4
hypercenter#3176D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3176

Complements

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

NH ≅ G/Ntype
1. #22624034C2semidirect
2. #22623961C2semidirect
3. #22622978C2semidirect
4. #22622882C2semidirect
5. #22622679C2semidirect
6. #22622657C2semidirect
7. #22622490C2semidirect
8. #22622437C2semidirect
9. #22622437C2semidirect
10. #22622190C2semidirect
11. #22622168C2semidirect
12. #22622112C2semidirect
13. #22622067C2semidirect
14. #22621951C2semidirect
15. #22621936C2semidirect
16. #22621550C2semidirect
17. #22621423C2semidirect
18. #22621423C2semidirect
19. #22620618C2semidirect
20. #22620524C2semidirect
21. #22620217C2semidirect
22. #22620169C2semidirect
23. #22620134C2semidirect
24. #22620113C2semidirect
25. #22620078C2semidirect
26. #22620067C2semidirect
27. #22618912C2semidirect
28. #22618792C2semidirect
29. #22618756C2semidirect
30. C4×#14556615C2semidirect
31. C73×#3176C2semidirect
35. #17989323C22semidirect
37. #17989314C22semidirect
40. #17989301C22semidirect
44. #17989284C22semidirect
47. #17989275C22semidirect
50. #17989257C22semidirect
51. #17989243C22semidirect
52. #17989243C22semidirect
60. #17989202C22semidirect
66. #17989119C22semidirect
72. #17989066C22semidirect
73. #17989064C22semidirect
76. C4×#11924027C22semidirect
78. #17988995C22semidirect
79. #17988995C22semidirect
80. #17988975C22semidirect
81. #17988975C22semidirect
82. #17988950C22semidirect
83. #17988945C22semidirect
84. #17988940C22semidirect
85. #17988932C22semidirect
86. #17988931C22semidirect
87. #17988919C22semidirect
88. #17988913C22semidirect
89. #17988909C22semidirect
90. #17988909C22semidirect
91. #17988908C22semidirect
92. #17988908C22semidirect
93. #17988908C22semidirect
94. #17988908C22semidirect
95. #17988907C22semidirect
96. #17988899C22semidirect
97. #17988899C22semidirect
98. #17988897C22semidirect
99. #17988891C22semidirect
100. #17988891C22semidirect
102. #17988885C22semidirect
103. #17988885C22semidirect
105. #17988884C22semidirect
107. #17988871C22semidirect
108. #17988865C22semidirect
109. #17988865C22semidirect
110. #17988839C22semidirect
111. #17988837C22semidirect
112. #17988837C22semidirect
113. #17988834C22semidirect
114. #17988834C22semidirect
115. #17988832C22semidirect
116. #17988822C22semidirect
117. #17988815C22semidirect
120. #17988800C22semidirect
121. #17988800C22semidirect
122. #17988786C22semidirect
123. #17988786C22semidirect
124. #17988784C22semidirect
125. #17988784C22semidirect
126. #17988780C22semidirect
127. #17988780C22semidirect
129. #17988779C22semidirect
132. #17988733C22semidirect
133. #17988733C22semidirect
134. #17988729C22semidirect
135. #17988729C22semidirect
136. #17988725C22semidirect
137. #17988725C22semidirect
142. #17988717C22semidirect
143. #17988715C22semidirect
144. #17988699C22semidirect
145. #17988699C22semidirect
147. #17988697C22semidirect
151. #17988689C22semidirect
152. #17988689C22semidirect
153. #17988687C22semidirect
154. #17988687C22semidirect
157. #17988684C22semidirect
158. #17988678C22semidirect
161. C4×#11924017C22semidirect
162. C4×#11924017C22semidirect
163. C4×#11924016C22semidirect
164. C4×#11924016C22semidirect
166. C4×#11924013C22semidirect
168. #17988666C22semidirect
169. #17988663C22semidirect
170. #17988660C22semidirect
171. #17988658C22semidirect
172. #17988658C22semidirect
173. #17988656C22semidirect
174. #17988649C22semidirect
175. #17988648C22semidirect
176. #17988642C22semidirect
177. #17988628C22semidirect
178. #17988628C22semidirect
179. #17988625C22semidirect
180. #17988597C22semidirect
183. #17988585C22semidirect
184. #17988580C22semidirect
186. #17988541C22semidirect
187. C4×#11924011C22semidirect
189. #540×C73C22semidirect
190. #499×C73C22semidirect
191. #493×C73C22semidirect
192. #490×C73C22semidirect
193. #490×C73C22semidirect
194. #469×C73C22semidirect
195. #469×C73C22semidirect
196. #466×C73C22semidirect
197. #466×C73C22semidirect
198. #442×C73C22semidirect
199. #442×C73C22semidirect
200. C4×D8×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #405×C73C22semidirect
550. #11924017#41semidirect
899. #3176D73semidirect
911. C73#61504semidirect
944. #540C2×D73semidirect
962. #499C2×D73semidirect
965. #493C2×D73semidirect
967. #490C2×D73semidirect
968. #490C2×D73semidirect
999. #469C2×D73semidirect
1000. #469C2×D73semidirect
1005. #466C2×D73semidirect
1006. #466C2×D73semidirect
1039. #442C2×D73semidirect
1040. #442C2×D73semidirect
1060. C4×D8C2×D73semidirect
1061. C4×D8C2×D73semidirect
1081. #405C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240342
#226239612
#226229782
#226228822
#226226792
#226226572
#226224902
#226224372
#226221902
#226221682
#226221122
#226220672
#226219512
#226219362
#226215502
#226214232
#226206182
#226205242
#226202172
#226201692
#226201342
#226201132
#226200782
#226200672
#226189122
#226187922
#226187562
C4×#145566152
C73×#31762
#6150473