Finite Group Databasebeta

← #33969101

Subgroups — #33969101

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#22624035C211yesmaximal, characteristic, complemented
2#22623962C211yesmaximal, characteristic, complemented
3#22622878C211yesmaximal, characteristic, complemented
4#22622678C211yesmaximal, characteristic, complemented
5#22622656C211yesmaximal, characteristic, complemented
6#22622496C211yesmaximal, characteristic, complemented
7#22622436C211yesmaximal, characteristic, complemented
8#22622436C211yesmaximal, characteristic, complemented
9#22622191C211yesmaximal, characteristic, complemented
10#22622176C211yesmaximal, characteristic, complemented
11#22622124C211yesmaximal, characteristic, complemented
12#22622079C211yesmaximal, characteristic, complemented
13#22621959C211yesmaximal, characteristic, complemented
14#22621944C211yesmaximal, characteristic, complemented
15#22621550C211yesmaximal, characteristic, complemented
16#22621425C211yesmaximal, characteristic, complemented
17#22621425C211yesmaximal, characteristic, complemented
18#22620611C211yesmaximal, characteristic, complemented
19#22620578C211yesmaximal, characteristic, complemented
20#22620523C211yesmaximal, characteristic, complemented
21#22620220C211yesmaximal, characteristic, complemented
22#22620172C211yesmaximal, characteristic, complemented
23#22620127C211yesmaximal, characteristic, complemented
24#22620114C211yesmaximal, characteristic, complemented
25#22620079C211yesmaximal, characteristic, complemented
26#22620068C211yesmaximal, characteristic, complemented
27#22618915C211yesmaximal, characteristic, complemented
28#22618785C211yesmaximal, characteristic, complemented
29#22618760C211yesmaximal, characteristic, complemented
30#22618742C211yesmaximal, characteristic, complemented
31C73×#3399C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989321—21no—
36#17989315C2211yescharacteristic, complemented
37#17989302C2211yescharacteristic
38#17989302C2211yescharacteristic, complemented
39#17989299—21no—
40#17989297C2211yescharacteristic
41#17989287C2211yescharacteristic
42#17989287C2211yescharacteristic
43#17989287C2211yescharacteristic, complemented
44#17989286—21no—
45#17989284—21no—
46#17989278C2211yescharacteristic, complemented
47#17989274—21no—
48#17989257C2211yescharacteristic, complemented
49#17989245C2211yescharacteristic, complemented
50#17989245C2211yescharacteristic, complemented
51#17989226—21no—
52#17989226—21no—
53#17989225—21no—
54#17989222C2211yescharacteristic
55#17989222C2211yescharacteristic
56#17989222C2211yescharacteristic
57#17989206C2211yescharacteristic, complemented
58#17989201—21no—
59#17989191C2211yescharacteristic
60#17989191C2211yescharacteristic
61#17989191C2211yescharacteristic, complemented
62#17989189—21no—
63#17989169—21no—
64#17989169—21no—
65#17989135C2211yescharacteristic
66#17989124C2211yescharacteristic
67#17989117—21no—
68#17989116C2211yescharacteristic, complemented
69#17989114—21no—
70#17989094—21no—
71#121×D73—21no—
72#17989066C2211yescharacteristic, complemented
73#17989063C2211yescharacteristic, complemented
74#17989059C2211yescharacteristic
75#17989059C2211yescharacteristic
76C4×#11924027C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic
78#17988996C2211yescharacteristic, complemented
79#17988996C2211yescharacteristic, complemented
80#17988989C2211yescharacteristic, complemented
81#17988951C2211yescharacteristic, complemented
82#17988951C2211yescharacteristic, complemented
83#17988951C2211yescharacteristic, complemented
84#17988946C2211yescharacteristic, complemented
85#17988941C2211yescharacteristic, complemented
86#17988933C2211yescharacteristic, complemented
87#17988926C2211yescharacteristic, complemented
88#17988916C2211yescharacteristic, complemented
89#17988910C2211yescharacteristic, complemented
90#17988910C2211yescharacteristic, complemented
91#17988910C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic
103#17988888C2211yescharacteristic
104#17988887C2211yescharacteristic, complemented
105#17988887C2211yescharacteristic, complemented
106#17988887C2211yescharacteristic, complemented
107#17988878C2211yescharacteristic
108#17988873C2211yescharacteristic, complemented
109#17988867C2211yescharacteristic, complemented
110#17988867C2211yescharacteristic, complemented
111#17988837C2211yescharacteristic, complemented
112#17988837C2211yescharacteristic, complemented
113#17988837C2211yescharacteristic, complemented
114#17988837C2211yescharacteristic, complemented
115#17988837C2211yescharacteristic, complemented
116#17988830C2211yescharacteristic, complemented
117#17988830C2211yescharacteristic, complemented
118#17988830C2211yescharacteristic, complemented
119#17988820C2211yescharacteristic, complemented
120#17988820C2211yescharacteristic, complemented
121#17988820C2211yescharacteristic, complemented
122#17988813C2211yescharacteristic, complemented
123#17988799C2211yescharacteristic
124#17988799C2211yescharacteristic
125#17988784C2211yescharacteristic, complemented
126#17988784C2211yescharacteristic, complemented
127#17988784C2211yescharacteristic, complemented
128#17988779C2211yescharacteristic
129#17988736C2211yescharacteristic
130#17988736C2211yescharacteristic
131#17988729C2211yescharacteristic, complemented
132#17988729C2211yescharacteristic, complemented
133#17988729C2211yescharacteristic, complemented
134#17988729C2211yescharacteristic, complemented
135#17988724C2211yescharacteristic, complemented
136#17988724C2211yescharacteristic, complemented
137#17988719C2211yescharacteristic
138#17988719C2211yescharacteristic
139#17988719C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988718C2211yescharacteristic, complemented
142#17988699C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic, complemented
145#17988697C2211yescharacteristic
146#17988696C2211yescharacteristic
147#17988690C2211yescharacteristic
148#17988689C2211yescharacteristic
149#17988689C2211yescharacteristic
150#17988688C2211yescharacteristic, complemented
151#17988687C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic, complemented
153#17988685C2211yescharacteristic
154#17988684C2211yescharacteristic, complemented
155#17988684C2211yescharacteristic, complemented
156#17988678C2211yescharacteristic, complemented
157C4×#11924017C2211yescharacteristic
158SD16×Dic73C2211yescharacteristic, complemented
159SD16×Dic73C2211yescharacteristic, complemented
160#17988674C2211yescharacteristic
161C4×#11924016C2211yescharacteristic, complemented
162D8×Dic73C2211yescharacteristic, complemented
163D8×Dic73C2211yescharacteristic, complemented
164D8×Dic73C2211yescharacteristic, complemented
165C4×#11924013C2211yescharacteristic
166#17988667C2211yescharacteristic
167#17988666C2211yescharacteristic, complemented
168#17988664C2211yescharacteristic, complemented
169#17988660C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic, complemented
173#17988647C2211yescharacteristic, complemented
174#17988647C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177#17988626C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic
181#17988590C2211yescharacteristic
182#17988585C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185#17988544C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187#17988539C2211yescharacteristic, complemented
188#559×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic
190#496×C73C2211yescharacteristic, complemented
191#496×C73C2211yescharacteristic, complemented
192#493×C73C2211yescharacteristic, complemented
193#463×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic, complemented
195#460×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#459×C73C2211yescharacteristic, complemented
198#459×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202C4×SD16×C73C2211yescharacteristic, complemented
203C2×#11924027—21no—
204C2×#11924027C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C2×D4×D73—21no—
208C2×D4×D73—21no—
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214#14556615—24no—
215#14556615—24no—
216C2×#11924017C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221SD16×D73—24no—
222C2×#11924013C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924011C2311yescharacteristic
225C2×#11924011C2311yescharacteristic
226C2×#11924011C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C2×C8×D73C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230#14556591C2311yescharacteristic
231#14556591C2311yescharacteristic
232#14556589—21no—
233#14556587—21no—
234#14556586D411yescharacteristic
235#14556586D411yescharacteristic
236#14556585—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556583C2311yescharacteristic
243#14556583C2311yescharacteristic
244#14556583C2311yescharacteristic
245#14556583C2311yescharacteristic
246#14556582D411yescharacteristic
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556580D411yescharacteristic
251#14556578—21no—
252#14556577—21no—
253#14556577—21no—
254#14556577—21no—
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556576—21no—
260#14556576D411yescharacteristic
261#14556576D411yescharacteristic
262#14556575—21no—
263#14556574—21no—
264#14556574—21no—
265#14556574—21no—
266#14556573—21no—
267#14556572—21no—
268#14556572—21no—
269#14556572—21no—
270#14556572—21no—
271#14556572—21no—
272#14556572—21no—
273#14556569—21no—
274#14556569—21no—
275#14556568—21no—
276#14556568—21no—
277#14556568—21no—
278#14556567—21no—
279#14556567D411yescharacteristic
280#14556567C2311yescharacteristic
281#14556567C2311yescharacteristic
282#14556566D411yescharacteristic
283#14556565—21no—
284#14556565—21no—
285#14556564—21no—
286#14556564—21no—
287#14556564—21no—
288#14556564—21no—
289#14556564—21no—
290#14556563—21no—
291#14556563—21no—
292#14556563—21no—
293#14556563—21no—
294#14556563—21no—
295#14556563—21no—
296#14556563—21no—
297#14556563—21no—
298#14556562—21no—
299#14556562—21no—
300#14556562—21no—
301#14556562—21no—
302#14556562C2311yescharacteristic
303#14556562C2311yescharacteristic
304#14556562C2311yescharacteristic
305#14556562C2311yescharacteristic
306#14556562C2311yescharacteristic
307#14556562C2311yescharacteristic
308#14556562C2311yescharacteristic
309#14556562C2311yescharacteristic
310#14556562C2311yescharacteristic
311#14556562C2311yescharacteristic
312#14556559—21no—
313#14556559—21no—
314#14556559—21no—
315#14556559—21no—
316#14556559—21no—
317#14556559—21no—
318Q8×Dic73C2311yescharacteristic
319C4×Dic146—21no—
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323#14556556—21no—
324#14556556—21no—
325#14556556C2311yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553C2311yescharacteristic
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556550—21no—
357#14556550—21no—
358#14556549—21no—
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556548—21no—
364#14556548—21no—
365#14556548C2311yescharacteristic
366#14556548C2311yescharacteristic
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370C2×#11924007—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C2×#11924005—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C2×C4×Dic73—21no—
380C42×D73C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556512C2311yescharacteristic
410#14556512C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73—21no—
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448#127×C73C2311yescharacteristic
449#127×C73C2311yescharacteristic
450#127×C73C2311yescharacteristic
451#127×C73C2311yescharacteristic
452#124×C73—21no—
453#124×C73C2311yescharacteristic
454#124×C73C2311yescharacteristic
455#123×C73—21no—
456#123×C73—21no—
457#121×C73—21no—
458#121×C73—21no—
459#121×C73—21no—
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924027—22no—
485#11924027—22no—
486#11924027—41no—
487#11924027—41no—
488#11924027—82no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2411yescharacteristic
493Q8×D73—22no—
494Q8×D73—41no—
495C2×D292C2×D411yescharacteristic
496C2×D292C2×D411yescharacteristic
497C2×D292C2×D411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊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—
514D4×D73—22no—
515D4×D73—22no—
516D4×D73—22no—
517D4×D73—41no—
518D4×D73—41no—
519D4×D73—41no—
520D4×D73—82no—
521D4×D73—82no—
522D4×D73—82no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—82no—
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2411yescharacteristic
541C2×C4×D73C2411yescharacteristic
542C2×C4×D73C2411yescharacteristic
543#11924017#4114yescomplemented
544#11924016—22no—
545#11924016—22no—
546#11924016—22no—
547#11924015—22no—
548#11924013—22no—
549#11924013—22no—
550#11924011—22no—
551#11924011—22no—
552#11924011—41no—
553#11924011—41no—
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C8×D73—22no—
559C8×D73—41no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73C2×D411yescharacteristic
564C4⋊Dic73C2×D411yescharacteristic
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2411yescharacteristic
639#41×C73—82no—
640C2×Q8×C73C2×D411yescharacteristic
641C2×Q8×C73C2411yescharacteristic
642C2×D4×C73—21no—
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×C73C2411yescharacteristic
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×C73—21no—
660SD16×C73—22no—
661SD16×C73—41no—
662SD16×C73—41no—
663D8×C73—22no—
664D8×C73—22no—
665D8×C73—41no—
666D8×C73—41no—
667D8×C73—41no—
668D8×C73—41no—
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C2×C8×C73C2411yescharacteristic
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C42×C73—21no—
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C23×C73—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
708C22×D73C22×D411yescharacteristic
709C22×D73C22×D411yescharacteristic
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—41no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—21no—
722D4×C73—21no—
723D4×C73—42no—
724D4×C73—81no—
725D4×C73—81no—
726D4×C73—81no—
727D4×C73—81no—
728D4×C73—81no—
729D4×C73—81no—
730D4×C73—81no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—42no—
735C2×C4×C73—81no—
736C2×C4×C73—81no—
737C2×C4×C73—81no—
738C2×C4×C73—81no—
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C2511yescharacteristic
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—42no—
769C2×Dic73—42no—
770C2×Dic73—81no—
771C2×Dic73—81no—
772C2×Dic73—81no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780D292—21no—
781D292—41no—
782D292—41no—
783D292—41no—
784D292C2×#4112yes—
785C4×D73—21no—
786C4×D73—21no—
787C4×D73—21no—
788C4×D73—21no—
789C4×D73—21no—
790C4×D73—21no—
791C4×D73—41no—
792C4×D73—41no—
793C4×D73—42no—
794C4×D73—42no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800Dic146—21no—
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—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—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—21no—
836C2×D73—21no—
837C2×D73—21no—
838C2×D73—22no—
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—21no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73C22×#4111yescharacteristic
854C4×C73#58511yescharacteristic
855Dic73—21no—
856Dic73—21no—
857Dic73—22no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—81no—
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—41no—
879D73—42no—
880#3524—731no—
881#3519—731no—
882#3399D7311yescharacteristic, complemented
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#3176—731no—
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—1461no—
916#559C2×D7311yescharacteristic, complemented
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#550C2×D7311yescharacteristic
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—731no—
943#540—731no—
944#540—1461no—
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#499—731no—
963#496C2×D7311yescharacteristic, complemented
964#496C2×D7311yescharacteristic, complemented
965#493C2×D7311yescharacteristic, complemented
966#490—731no—
967#490—731no—
968#490—731no—
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#469—731no—
1000#469—731no—
1001#468—731no—
1002#468—731no—
1003#468—731no—
1004#466—731no—
1005#466—731no—
1006#466—731no—
1007#465—731no—
1008#463—731no—
1009#463—731no—
1010#463C2×D7311yescharacteristic, complemented
1011#463C2×D7311yescharacteristic, complemented
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460C2×D7311yescharacteristic, complemented
1016#459—731no—
1017#459C2×D7311yescharacteristic, complemented
1018#459C2×D7311yescharacteristic, complemented
1019#459C2×D7311yescharacteristic, complemented
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#446C2×D7311yescharacteristic, complemented
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×SD16C2×D7311yescharacteristic, complemented
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
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#405—731no—
1082C4×M16—731no—
1083C2×#41—21no—
1084C2×#41—731no—
1085C2×#41—731no—
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—1464no—
1103C2×SD16C22×D7311yescharacteristic
1104C2×SD16C22×D7311yescharacteristic
1105C2×SD16C22×D7311yescharacteristic
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8C22×D7311yescharacteristic
1109C2×D8C22×D7311yescharacteristic
1110C2×D8C22×D7311yescharacteristic
1111C2×D8C22×D7311yescharacteristic
1112C2×D8C22×D7311yescharacteristic
1113C2×D8C22×D7311yescharacteristic
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16—731no—
1118C22×C8—731no—
1119C22×C8—731no—
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—1461no—
1123#127—1461no—
1124#127C22×D7311yescharacteristic
1125#127C22×D7311yescharacteristic
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—731no—
1140#125—731no—
1141#125—1461no—
1142#125—1461no—
1143#125—1461no—
1144#124—21no—
1145#124—731no—
1146#124—1461no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124C22×D7311yescharacteristic
1155#124C22×D7311yescharacteristic
1156#123—21no—
1157#123—21no—
1158#123—731no—
1159#123—731no—
1160#123—1461no—
1161#123—1461no—
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—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—731no—
1193#121—731no—
1194#121—731no—
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#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
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—1461no—
1226C4×Q8—1461no—
1227C4×Q8—1461no—
1228C4×Q8C22×D7311yescharacteristic
1229C4×Q8C22×D7311yescharacteristic
1230C4×D4—21no—
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×D4C22×D7311yescharacteristic
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—731no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
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#107—731no—
1298#107—731no—
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106C22×D7311yescharacteristic
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8C22×D7311yescharacteristic
1311C4⋊C8C22×D7311yescharacteristic
1312C4⋊C8C22×D7311yescharacteristic
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103C22×D7311yescharacteristic
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#102—731no—
1338#102—731no—
1339#102—731no—
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×C8—731no—
1360C4×C8C22×D7311yescharacteristic
1361C24—1461no—
1362C24—1461no—
1363C24—1461no—
1364#41—82no—
1365#41—2921no—
1366#41—2921no—
1367#41—5842no—
1368#41—1462no—
1369#41—1462no—
1370C2×Q8—2921no—
1371C2×Q8—731no—
1372C2×Q8—1461no—
1373C2×Q8—1462no—
1374C2×Q8—1461no—
1375C2×Q8—1461no—
1376C2×Q8D4×D7311yescharacteristic
1377C2×Q8C23×D7311yescharacteristic
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—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1462no—
1400C2×D4—1462no—
1401C2×D4—1462no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4C23×D7311yescharacteristic
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—21no—
1424C22×C4—5842no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—731no—
1429C22×C4—731no—
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×C4—1461no—
1444SD16—22no—
1445SD16—41no—
1446SD16—41no—
1447SD16—734no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—22no—
1453D8—22no—
1454D8—41no—
1455D8—41no—
1456D8—41no—
1457D8—41no—
1458D8—1462no—
1459D8—1462no—
1460M16—2921no—
1461M16—2921no—
1462M16—1462no—
1463M16—1462no—
1464C2×C8—2921no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—1462no—
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
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—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊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⋊C4—1461no—
1507C4⋊C4D4×D7311yescharacteristic
1508C4⋊C4D4×D7311yescharacteristic
1509C4⋊C4D4×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—21no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—731no—
1529C22⋊C4—731no—
1530C22⋊C4—731no—
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⋊C4—1461no—
1555C22⋊C4—1461no—
1556C42—21no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42C23×D7311yescharacteristic
1570C42C23×D7311yescharacteristic
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—2922no—
1578C23—2922no—
1579C23—2922no—
1580C23—2922no—
1581C23—5841no—
1582C23—5841no—
1583C23—5841no—
1584C23—5841no—
1585C23—5841no—
1586C23—731no—
1587C23—731no—
1588C23—731no—
1589C23—1461no—
1590Q8—21no—
1591Q8—21no—
1592Q8—41no—
1593Q8—2922no—
1594Q8—5841no—
1595Q8—5841no—
1596Q8—732no—
1597Q8—1461no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—42no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—2921no—
1617D4—2921no—
1618D4—2921no—
1619D4—2922no—
1620D4—2922no—
1621D4—2922no—
1622D4—2922no—
1623D4—2922no—
1624D4—2922no—
1625D4—2922no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—5841no—
1633D4—5841no—
1634D4—732no—
1635D4—1461no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—42no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—2922no—
1645C2×C4—2921no—
1646C2×C4—2921no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—731no—
1661C2×C4—731no—
1662C2×C4—731no—
1663C2×C4—731no—
1664C2×C4—731no—
1665C2×C4—1461no—
1666C2×C4—1461no—
1667C2×C4—1461no—
1668C2×C4—1461no—
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×C4C2×D4×D7311yescharacteristic
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—41no—
1694C22—41no—
1695C22—41no—
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—5844no—
1711C22—11682no—
1712C22—11682no—
1713C22—1461no—
1714C22—1461no—
1715C22—1461no—
1716C22—1462no—
1717C22—1461no—
1718C22—1461no—
1719C22—1461no—
1720C22—1461no—
1721C22—1461no—
1722C22—1461no—
1723C22C22×D4×D7311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—2921no—
1739C4—1462no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C2×#41×D7311yescharacteristic
1746C4#1798942211yescharacteristic
1747C2—81no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2—2922no—
1753C2—2921no—
1754C2—2921no—
1755C2—2921no—
1756C2#2262342111yescharacteristic
1757C2#2262470611yescharacteristic
1758C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3399C2
socleC22×C73C23×D4
hypercenter#3399D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3399

Complements

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

NH ≅ G/Ntype
1. #22624035C2semidirect
2. #22623962C2semidirect
3. #22622878C2semidirect
4. #22622678C2semidirect
5. #22622656C2semidirect
6. #22622496C2semidirect
7. #22622436C2semidirect
8. #22622436C2semidirect
9. #22622191C2semidirect
10. #22622176C2semidirect
11. #22622124C2semidirect
12. #22622079C2semidirect
13. #22621959C2semidirect
14. #22621944C2semidirect
15. #22621550C2semidirect
16. #22621425C2semidirect
17. #22621425C2semidirect
18. #22620611C2semidirect
19. #22620578C2semidirect
20. #22620523C2semidirect
21. #22620220C2semidirect
22. #22620172C2semidirect
23. #22620127C2semidirect
24. #22620114C2semidirect
25. #22620079C2semidirect
26. #22620068C2semidirect
27. #22618915C2semidirect
28. #22618785C2semidirect
29. #22618760C2semidirect
30. #22618742C2semidirect
31. C73×#3399C2semidirect
36. #17989315C22semidirect
38. #17989302C22semidirect
43. #17989287C22semidirect
46. #17989278C22semidirect
48. #17989257C22semidirect
49. #17989245C22semidirect
50. #17989245C22semidirect
57. #17989206C22semidirect
61. #17989191C22semidirect
68. #17989116C22semidirect
72. #17989066C22semidirect
73. #17989063C22semidirect
76. C4×#11924027C22semidirect
78. #17988996C22semidirect
79. #17988996C22semidirect
80. #17988989C22semidirect
81. #17988951C22semidirect
82. #17988951C22semidirect
83. #17988951C22semidirect
84. #17988946C22semidirect
85. #17988941C22semidirect
86. #17988933C22semidirect
87. #17988926C22semidirect
88. #17988916C22semidirect
89. #17988910C22semidirect
90. #17988910C22semidirect
91. #17988910C22semidirect
92. #17988910C22semidirect
93. #17988910C22semidirect
94. #17988909C22semidirect
95. #17988909C22semidirect
96. #17988904C22semidirect
97. #17988899C22semidirect
98. #17988899C22semidirect
99. #17988895C22semidirect
100. #17988895C22semidirect
101. #17988894C22semidirect
104. #17988887C22semidirect
105. #17988887C22semidirect
106. #17988887C22semidirect
108. #17988873C22semidirect
109. #17988867C22semidirect
110. #17988867C22semidirect
111. #17988837C22semidirect
112. #17988837C22semidirect
113. #17988837C22semidirect
114. #17988837C22semidirect
115. #17988837C22semidirect
116. #17988830C22semidirect
117. #17988830C22semidirect
118. #17988830C22semidirect
119. #17988820C22semidirect
120. #17988820C22semidirect
121. #17988820C22semidirect
122. #17988813C22semidirect
125. #17988784C22semidirect
126. #17988784C22semidirect
127. #17988784C22semidirect
131. #17988729C22semidirect
132. #17988729C22semidirect
133. #17988729C22semidirect
134. #17988729C22semidirect
135. #17988724C22semidirect
136. #17988724C22semidirect
141. #17988718C22semidirect
142. #17988699C22semidirect
143. #17988699C22semidirect
144. #17988699C22semidirect
150. #17988688C22semidirect
151. #17988687C22semidirect
152. #17988687C22semidirect
154. #17988684C22semidirect
155. #17988684C22semidirect
156. #17988678C22semidirect
158. SD16×Dic73C22semidirect
159. SD16×Dic73C22semidirect
161. C4×#11924016C22semidirect
162. D8×Dic73C22semidirect
163. D8×Dic73C22semidirect
164. D8×Dic73C22semidirect
167. #17988666C22semidirect
168. #17988664C22semidirect
169. #17988660C22semidirect
170. #17988660C22semidirect
171. #17988657C22semidirect
172. #17988657C22semidirect
173. #17988647C22semidirect
174. #17988647C22semidirect
175. #17988643C22semidirect
176. #17988626C22semidirect
177. #17988626C22semidirect
178. #17988622C22semidirect
179. #17988594C22semidirect
182. #17988585C22semidirect
183. #17988580C22semidirect
185. #17988544C22semidirect
186. #17988541C22semidirect
187. #17988539C22semidirect
188. #559×C73C22semidirect
190. #496×C73C22semidirect
191. #496×C73C22semidirect
192. #493×C73C22semidirect
193. #463×C73C22semidirect
194. #463×C73C22semidirect
195. #460×C73C22semidirect
196. #459×C73C22semidirect
197. #459×C73C22semidirect
198. #459×C73C22semidirect
199. #446×C73C22semidirect
200. #442×C73C22semidirect
201. #442×C73C22semidirect
202. C4×SD16×C73C22semidirect
543. #11924017#41semidirect
882. #3399D73semidirect
911. C73#61504semidirect
916. #559C2×D73semidirect
963. #496C2×D73semidirect
964. #496C2×D73semidirect
965. #493C2×D73semidirect
1010. #463C2×D73semidirect
1011. #463C2×D73semidirect
1015. #460C2×D73semidirect
1017. #459C2×D73semidirect
1018. #459C2×D73semidirect
1019. #459C2×D73semidirect
1033. #446C2×D73semidirect
1039. #442C2×D73semidirect
1040. #442C2×D73semidirect
1056. C4×SD16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240352
#226239622
#226228782
#226226782
#226226562
#226224962
#226224362
#226221912
#226221762
#226221242
#226220792
#226219592
#226219442
#226215502
#226214252
#226206112
#226205782
#226205232
#226202202
#226201722
#226201272
#226201142
#226200792
#226200682
#226189152
#226187852
#226187602
#226187422
C73×#33992
#6150473