Finite Group Databasebeta

← #33968165

Subgroups — #33968165

Order 18688.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623546C211yesmaximal, characteristic, complemented
2#22623487C211yesmaximal, characteristic, complemented
3#22622965C211yesmaximal, characteristic, complemented
4#22622833C211yesmaximal, characteristic, complemented
5#22622715C211yesmaximal, characteristic, complemented
6#22622644C211yesmaximal, characteristic, complemented
7#22622468C211yesmaximal, characteristic, complemented
8#22622459C211yesmaximal, characteristic, complemented
9#22622342C211yesmaximal, characteristic, complemented
10#22622031C211yesmaximal, characteristic, complemented
11#22622024C211yesmaximal, characteristic, complemented
12#22621974C211yesmaximal, characteristic, complemented
13#22621965C211yesmaximal, characteristic, complemented
14#22621852C211yesmaximal, characteristic, complemented
15#22621846C211yesmaximal, characteristic, complemented
16#22621646C211yesmaximal, characteristic, complemented
17#22621451C211yesmaximal, characteristic, complemented
18#22621449C211yesmaximal, characteristic, complemented
19#22620673C211yesmaximal, characteristic, complemented
20#22620641C211yesmaximal, characteristic, complemented
21#22620636C211yesmaximal, characteristic, complemented
22#22620094C211yesmaximal, characteristic, complemented
23#22620091C211yesmaximal, characteristic, complemented
24#22620089C211yesmaximal, characteristic, complemented
25#22620036C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22618940C211yesmaximal, characteristic, complemented
28#22618742C211yesmaximal, characteristic, complemented
29#22618729C211yesmaximal, characteristic, complemented
30#22618726C211yesmaximal, characteristic, complemented
31C73×#3111C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C2×#14556611C2211yescharacteristic
35#17989315C2211yescharacteristic, complemented
36#17989310C2211yescharacteristic
37#17989306C2211yescharacteristic
38#17989305C2211yescharacteristic
39#17989305C2211yescharacteristic, complemented
40#17989301C2211yescharacteristic
41#17989293C2211yescharacteristic
42#17989282—21no—
43#17989277—21no—
44#17989275C2211yescharacteristic
45#17989273—21no—
46#17989271C2211yescharacteristic
47#17989270—21no—
48#17989270—21no—
49#17989265—21no—
50#17989262—21no—
51D4×Dic146C2211yescharacteristic, complemented
52#17989246—21no—
53#17989241C2211yescharacteristic
54#17989239C2211yescharacteristic
55#17989236C2211yescharacteristic
56#17989236C2211yescharacteristic, complemented
57#17989234C2211yescharacteristic
58#17989230C2211yescharacteristic
59#17989144C2211yescharacteristic, complemented
60#17989141C2211yescharacteristic
61#17989141C2211yescharacteristic
62#17989141C2211yescharacteristic, complemented
63#17989121—21no—
64#17989119—21no—
65#17989119C2211yescharacteristic
66#17989117—21no—
67#17989117—21no—
68#17989115—21no—
69#17989096—21no—
70C4×#11924029C2211yescharacteristic
71C4×#11924028C2211yescharacteristic
72C4×#11924028C2211yescharacteristic
73C4×#11924027C2211yescharacteristic
74C4×#11924027C2211yescharacteristic, complemented
75C2×C4×Dic146—21no—
76C4×D4×D73C2211yescharacteristic
77#117×D73—21no—
78#17988997C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988982C2211yescharacteristic
82#17988978C2211yescharacteristic
83#17988965C2211yescharacteristic, complemented
84#17988957C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988946C2211yescharacteristic
87#17988945C2211yescharacteristic
88#17988936C2211yescharacteristic, complemented
89#17988936C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988931C2211yescharacteristic, complemented
92#17988930C2211yescharacteristic
93#17988929C2211yescharacteristic, complemented
94#17988929C2211yescharacteristic, complemented
95#17988927C2211yescharacteristic, complemented
96#17988926C2211yescharacteristic
97#17988924C2211yescharacteristic
98#17988921C2211yescharacteristic
99#17988910C2211yescharacteristic
100#17988897C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988883C2211yescharacteristic, complemented
103#17988881C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988878C2211yescharacteristic
106#17988876C2211yescharacteristic
107#17988875C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic
109#17988865C2211yescharacteristic
110#17988846C2211yescharacteristic
111#17988844C2211yescharacteristic
112#17988844C2211yescharacteristic
113#17988842C2211yescharacteristic
114#17988829C2211yescharacteristic, complemented
115#17988827C2211yescharacteristic, complemented
116#17988826C2211yescharacteristic, complemented
117#17988826C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic
119#17988814C2211yescharacteristic
120#17988814C2211yescharacteristic
121#17988813C2211yescharacteristic
122#17988808C2211yescharacteristic
123#17988800C2211yescharacteristic
124#17988798C2211yescharacteristic, complemented
125#17988796C2211yescharacteristic, complemented
126#17988795C2211yescharacteristic, complemented
127#17988793C2211yescharacteristic
128#17988791C2211yescharacteristic
129#17988791C2211yescharacteristic
130#17988790C2211yescharacteristic
131#17988790C2211yescharacteristic, complemented
132#17988752C2211yescharacteristic
133#17988751C2211yescharacteristic
134#17988751C2211yescharacteristic
135#17988750C2211yescharacteristic
136#17988750C2211yescharacteristic, complemented
137#17988748C2211yescharacteristic
138#17988746C2211yescharacteristic
139#17988739C2211yescharacteristic
140#17988736C2211yescharacteristic
141#17988729C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988697C2211yescharacteristic
145#17988697C2211yescharacteristic
146#17988696C2211yescharacteristic
147#17988695C2211yescharacteristic, complemented
148#17988695C2211yescharacteristic, complemented
149#17988692C2211yescharacteristic, complemented
150#17988692C2211yescharacteristic, complemented
151#17988692C2211yescharacteristic, complemented
152#17988692C2211yescharacteristic, complemented
153#17988691C2211yescharacteristic, complemented
154#17988689C2211yescharacteristic
155#17988689C2211yescharacteristic
156#17988688C2211yescharacteristic, complemented
157#17988687C2211yescharacteristic
158#17988687C2211yescharacteristic
159#17988687C2211yescharacteristic, complemented
160#17988687C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic
162#17988685C2211yescharacteristic
163#17988685C2211yescharacteristic
164#17988678C2211yescharacteristic
165#17988674C2211yescharacteristic
166D8×Dic73C2211yescharacteristic
167#17988667C2211yescharacteristic
168#17988657C2211yescharacteristic
169#17988657C2211yescharacteristic
170#17988655C2211yescharacteristic
171#17988655C2211yescharacteristic
172#17988650C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic
175#17988642C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic
177#17988624C2211yescharacteristic, complemented
178#17988623C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic
180#17988585C2211yescharacteristic
181#17988583C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic
183#17988581C2211yescharacteristic
184#17988580C2211yescharacteristic, complemented
185#17988539C2211yescharacteristic
186C2×#14556502C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic
189C4×#41×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic
192#479×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic
196#452×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028D411yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146—21no—
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211#14556615—24no—
212#14556612—24no—
213#14556611—24no—
214C2×Dic292C2311yescharacteristic
215C2×Dic292C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924011C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C22×#10596831C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232#14556591C2311yescharacteristic
233#14556591C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556589C2311yescharacteristic
238#14556589C2311yescharacteristic
239#14556589C2311yescharacteristic
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556585—21no—
244#14556585—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556583—21no—
252#14556583—21no—
253#14556582—21no—
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556579—21no—
262#14556578—21no—
263#14556578C2311yescharacteristic
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556576—21no—
268#14556576—21no—
269#14556575—21no—
270#14556575—21no—
271#14556574—21no—
272#14556574—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556572—21no—
279#14556572—21no—
280#14556571—21no—
281#14556571C2311yescharacteristic
282#14556571C2311yescharacteristic
283#14556571C2311yescharacteristic
284#14556571C2311yescharacteristic
285#14556570—21no—
286#14556570—21no—
287#14556570C2311yescharacteristic
288#14556570C2311yescharacteristic
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556565—21no—
301#14556564—21no—
302#14556564—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556562—21no—
307#14556562C2311yescharacteristic
308#14556561—21no—
309#14556559—21no—
310Q8×Dic73C2311yescharacteristic
311C4×Dic146—21no—
312C4×Dic146—21no—
313C4×Dic146—21no—
314C4×Dic146—21no—
315C4×Dic146—21no—
316C4×Dic146—21no—
317C4×Dic146—21no—
318C4×Dic146—21no—
319C4×Dic146D411yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325#14556556C2311yescharacteristic
326#14556556C2311yescharacteristic
327C4×D292—21no—
328C4×D292D411yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335#14556553—21no—
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73D411yescharacteristic
345C4×C22⋊D73D411yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556550—21no—
352#14556550—21no—
353#14556550D411yescharacteristic
354#14556550C2311yescharacteristic
355#14556549—21no—
356#14556549—21no—
357#14556549—21no—
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556548—21no—
365#14556548D411yescharacteristic
366#14556548D411yescharacteristic
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547—21no—
371C2×C4⋊Dic73—21no—
372C2×#11924007—21no—
373C2×#11924007—21no—
374C4⋊C4×D73—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73C2311yescharacteristic
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443#126×C73—21no—
444#125×C73C2311yescharacteristic
445#124×C73C2311yescharacteristic
446#123×C73—21no—
447C22⋊Q8×C73C2311yescharacteristic
448#121×C73C2311yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73—21no—
460#117×C73C2311yescharacteristic
461C2×C42×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924029—22no—
483#11924029—41no—
484#11924028—22no—
485#11924028—42no—
486#11924028—41no—
487#11924027—22no—
488#11924027—22no—
489#11924027—41no—
490#11924027—41no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—44no—
496C2×Dic146C2×D411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×D292—21no—
501C2×D292C2×D411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73C2×D411yescharacteristic
509C2×C22⋊D73C2×D411yescharacteristic
510D4×D73—22no—
511D4×D73—41no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—44no—
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2×D411yescharacteristic
528C2×C4×D73C2×D411yescharacteristic
529C2×C4×D73C2411yescharacteristic
530C2×C4×D73C2411yescharacteristic
531Dic292—41no—
532Dic292—41no—
533#11924018—22no—
534#11924018—22no—
535#11924018—41no—
536#11924017—22no—
537#11924017—22no—
538#11924016—22no—
539#11924016—22no—
540#11924016—41no—
541#11924015—22no—
542#11924013#4114yescomplemented
543#11924011—22no—
544#11924011—41no—
545C2×#10596831—22no—
546C2×#10596831—41no—
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C8×D73—22no—
552C8×D73—41no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73C2×D411yescharacteristic
563C4⋊Dic73C2×D411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
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⋊Dic73C2×D411yescharacteristic
604C22⋊Dic73C2×D411yescharacteristic
605#11924005—21no—
606#11924005—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#11924005—21no—
618#11924005—21no—
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640#41×C73—22no—
641#41×C73—41no—
642C2×Q8×C73C2411yescharacteristic
643C2×Q8×C73C2411yescharacteristic
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73C2411yescharacteristic
647C2×D4×C73C2411yescharacteristic
648C22×C4×C73—21no—
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73C2×D411yescharacteristic
653C22×C4×C73C2×D411yescharacteristic
654C22×C4×C73C2411yescharacteristic
655Q16×C73—41no—
656SD16×C73—22no—
657SD16×C73—41no—
658D8×C73—22no—
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73C2411yescharacteristic
670C4⋊C4×C73C2411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C22⋊C4×C73—21no—
674C22⋊C4×C73—21no—
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C42×C73—21no—
682C42×C73—21no—
683C42×C73—21no—
684C42×C73—21no—
685C42×C73C2×D411yescharacteristic
686C42×C73C2×D411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73C22×D411yescharacteristic
692C22×D73—21no—
693C22×D73—42no—
694C22×D73—42no—
695C22×D73—81no—
696C22×D73C22×D411yescharacteristic
697C22×D73C22×D411yescharacteristic
698Q8×C73—21no—
699Q8×C73—21no—
700Q8×C73—21no—
701Q8×C73—21no—
702D4×C73—21no—
703D4×C73—21no—
704D4×C73—21no—
705D4×C73—42no—
706D4×C73—81no—
707D4×C73C2×#4112yes—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—41no—
717C2×C4×C73—41no—
718C2×C4×C73—42no—
719C2×C4×C73—42no—
720C2×C4×C73—42no—
721C2×C4×C73—42no—
722C2×C4×C73C22×D411yescharacteristic
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C2511yescharacteristic
728C22⋊D73—22no—
729C22⋊D73—41no—
730C22⋊D73—42no—
731C22⋊D73—42no—
732C22⋊D73—42no—
733C22⋊D73—42no—
734C22⋊D73—81no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—42no—
743C2×Dic73—42no—
744C2×Dic73—42no—
745C2×Dic73—42no—
746C2×Dic73—42no—
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753D292—21no—
754D292—41no—
755D292—42no—
756D292C2×#4112yes—
757C4×D73—21no—
758C4×D73—21no—
759C4×D73—21no—
760C4×D73—21no—
761C4×D73—22no—
762C4×D73—41no—
763C4×D73—41no—
764C4×D73—41no—
765C4×D73—42no—
766C4×D73—42no—
767C4×D73—42no—
768C4×D73—42no—
769C4×D73—42no—
770C4×D73—81no—
771C4×D73—81no—
772Dic146—22no—
773Dic146—21no—
774Dic146—21no—
775Dic146—21no—
776Dic146—21no—
777Dic146—21no—
778Dic146—21no—
779Dic146—42no—
780Dic146—42no—
781Dic146—42no—
782Dic146—81no—
783C8×C73—21no—
784C8×C73—21no—
785C8×C73—21no—
786C8×C73—21no—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831C2×#4112yes—
791C22×C73—21no—
792C22×C73—22no—
793C22×C73—21no—
794C22×C73—21no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73C23×D411yescharacteristic
801C2×D73—21no—
802C2×D73—21no—
803C2×D73—21no—
804C2×D73—21no—
805C2×D73—22no—
806C2×D73—21no—
807C2×D73—21no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—84no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822C4×C73C22×#4111yescharacteristic
823C4×C73#58511yescharacteristic
824Dic73—21no—
825Dic73—21no—
826Dic73—21no—
827Dic73—21no—
828Dic73—21no—
829Dic73—41no—
830Dic73—41no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73#57512yes—
837#61461—731nomaximal, Sylow
838C2×C73—41no—
839C2×C73—42no—
840C2×C73—81no—
841C2×C73D4×#4111yescharacteristic
842C2×C73C2×#57511yescharacteristic
843C2×C73#358611yescharacteristic
844D73—41no—
845D73—41no—
846D73—42no—
847#3482—731no—
848#3475—731no—
849#3398—731no—
850#3384—731no—
851#3372—731no—
852#3367—731no—
853#3349—731no—
854#3349—731no—
855#3340—731no—
856#3315—731no—
857#3315—731no—
858#3311—731no—
859#3311—731no—
860#3303—731no—
861#3302—731no—
862#3283—731no—
863#3267—731no—
864#3267—731no—
865#3185—731no—
866#3181—731no—
867#3181—731no—
868#3116—731no—
869#3116—731no—
870#3116—731no—
871#3111—731no—
872#3111D7311yescharacteristic, complemented
873#3110—731no—
874#2970—731no—
875C4×AGL(1,ℤ/8)—731no—
876#2943—731no—
877#2943—731no—
878C73#6146111yescharacteristic, complemented, Sylow
879C2×AGL(1,ℤ/8)—731no—
880C2×#135—731no—
881C2×#135—731no—
882#557—731no—
883#556—731no—
884#556—731no—
885#556—731no—
886#556—731no—
887#555—731no—
888#554—731no—
889#553—1461no—
890#552—731no—
891#552—731no—
892#552—1461no—
893#552—1461no—
894#552—1461no—
895#552—1461no—
896#551—1461no—
897#551—1461no—
898D4×Q8—731no—
899#548—1461no—
900#547—731no—
901#547—731no—
902#547—731no—
903#547—731no—
904#546—731no—
905#546—731no—
906#533—731no—
907#533—731no—
908#533—731no—
909#533—731no—
910#529—731no—
911#529—1461no—
912#529—1461no—
913#529—1461no—
914#529—1461no—
915#529—1461no—
916#529C2×D7311yescharacteristic
917#525—1461no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41—731no—
922C4×#41—731no—
923C4×#41C2×D7311yescharacteristic, complemented
924C2×C4×Q8—1461no—
925C2×C4×D4—731no—
926C2×#117—1461no—
927#501—731no—
928#501—731no—
929#498—731no—
930#497—731no—
931#497—731no—
932#494—731no—
933#491—731no—
934#491—731no—
935#489—731no—
936#489—731no—
937#487—731no—
938#487—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#485—731no—
944#485—731no—
945#485—731no—
946#485C2×D7311yescharacteristic, complemented
947#484—731no—
948#484—731no—
949#482—731no—
950#482C2×D7311yescharacteristic
951#479—731no—
952#479C2×D7311yescharacteristic, complemented
953#478—731no—
954#478C2×D7311yescharacteristic, complemented
955#477—731no—
956#477—731no—
957#477—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#474—731no—
962#474—731no—
963#470—731no—
964#470—731no—
965#470—731no—
966#470—731no—
967#467—731no—
968#467—731no—
969#467—731no—
970#467—731no—
971#465—731no—
972#465—731no—
973#465—731no—
974#465—731no—
975#464—731no—
976#464C2×D7311yescharacteristic
977#463—731no—
978#463C2×D7311yescharacteristic
979#462—731no—
980#462—731no—
981#462—731no—
982#461—731no—
983#461—731no—
984#461—731no—
985#461—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452—731no—
991#452—731no—
992#452—731no—
993#452—731no—
994#452C2×D7311yescharacteristic, complemented
995#450—731no—
996#450—731no—
997#449—731no—
998#449C2×D7311yescharacteristic
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#442C2×D7311yescharacteristic
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441—731no—
1010#441—731no—
1011#441—731no—
1012#441C2×D7311yescharacteristic, complemented
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440C2×D7311yescharacteristic
1024#440C2×D7311yescharacteristic, complemented
1025C4×SD16—731no—
1026C4×SD16—731no—
1027C4×D8—731no—
1028C4×D8—731no—
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032#435—731no—
1033C8×D4—731no—
1034C8×D4—731no—
1035#432—731no—
1036#432—731no—
1037#432C2×D7311yescharacteristic, complemented
1038#428—731no—
1039#427—731no—
1040#427—731no—
1041#418—731no—
1042#417—731no—
1043#416—731no—
1044#416—731no—
1045#416—731no—
1046#416—731no—
1047C4×M16—731no—
1048C2×#97—731no—
1049C2×#97—731no—
1050C2×#41—731no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—731no—
1054C2×#41—731no—
1055C2×#41C22×D7311yescharacteristic
1056C22×Q8—1461no—
1057C22×D4—731no—
1058C23×C4—1461no—
1059AGL(1,ℤ/8)—1464no—
1060#135—1464no—
1061#135—1464no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16—731no—
1067C2×Q16C22×D7311yescharacteristic
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—731no—
1074C2×SD16C22×D7311yescharacteristic
1075C2×SD16C22×D7311yescharacteristic
1076C2×D8—731no—
1077C2×D8C22×D7311yescharacteristic
1078C2×M16—731no—
1079C2×M16—731no—
1080C22×C8—731no—
1081C22×C8—731no—
1082C22×C8—731no—
1083C22×C8—731no—
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—731no—
1087C4⋊Q8—731no—
1088C4⋊Q8—731no—
1089C4⋊Q8—731no—
1090C4⋊Q8—731no—
1091C4⋊Q8—731no—
1092#126—21no—
1093#126—1461no—
1094#126—1461no—
1095#126—1461no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#126—1461no—
1103#126—1461no—
1104#125—731no—
1105#125—1461no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125—1461no—
1114#125C22×D7311yescharacteristic
1115#124—731no—
1116#124—1461no—
1117#124—1461no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124C22×D7311yescharacteristic
1122#123—21no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—731no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8C22×D7311yescharacteristic
1157#121—731no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22×D7311yescharacteristic
1166#120—1461no—
1167#120—1461no—
1168C4×Q8—731no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8C22×D7311yescharacteristic
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—731no—
1203C4×D4—731no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217C4×D4C22×D7311yescharacteristic
1218#117—21no—
1219#117—21no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—731no—
1224#117—731no—
1225#117—731no—
1226#117—731no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117—1461no—
1236#117—1461no—
1237#117—1461no—
1238#117—1461no—
1239#117—1461no—
1240#117C22×D7311yescharacteristic
1241C2×C4⋊C4—731no—
1242C2×C4⋊C4—1461no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4—1461no—
1247C2×C22⋊C4—1461no—
1248C2×C22⋊C4—1461no—
1249C2×C22⋊C4—1461no—
1250C2×C42—21no—
1251C2×C42—731no—
1252C2×C42—731no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255C2×C42—1461no—
1256C2×C42—1461no—
1257C2×C42C22×D7311yescharacteristic
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107C22×D7311yescharacteristic
1265#107C22×D7311yescharacteristic
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106C22×D7311yescharacteristic
1273#106C22×D7311yescharacteristic
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8C22×D7311yescharacteristic
1279C4⋊C8C22×D7311yescharacteristic
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103C22×D7311yescharacteristic
1297#103C22×D7311yescharacteristic
1298#103C22×D7311yescharacteristic
1299#103C22×D7311yescharacteristic
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102C22×D7311yescharacteristic
1309#102C22×D7311yescharacteristic
1310#102C22×D7311yescharacteristic
1311#102C22×D7311yescharacteristic
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8C22×D7311yescharacteristic
1317C22⋊C8C22×D7311yescharacteristic
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97—731no—
1323#97—731no—
1324#97C22×D7311yescharacteristic
1325#97C22×D7311yescharacteristic
1326C4×C8—731no—
1327C4×C8—731no—
1328C24—1461no—
1329#41—22no—
1330#41—41no—
1331#41—2921no—
1332#41—2922no—
1333#41—2921no—
1334#41—2921no—
1335#41—2921no—
1336#41—1462no—
1337#41—1462no—
1338#41—1462no—
1339#41—1462no—
1340C2×Q8—2924no—
1341C2×Q8—731no—
1342C2×Q8—731no—
1343C2×Q8—731no—
1344C2×Q8—731no—
1345C2×Q8—1461no—
1346C2×Q8—1461no—
1347C2×Q8—1461no—
1348C2×Q8—1461no—
1349C2×Q8C23×D7311yescharacteristic
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—2921no—
1354C2×D4—731no—
1355C2×D4—731no—
1356C2×D4—731no—
1357C2×D4—731no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1462no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1461no—
1364C2×D4—1461no—
1365C2×D4C23×D7311yescharacteristic
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—2924no—
1372C22×C4—731no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—731no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4D4×D7311yescharacteristic
1391C22×C4D4×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—41no—
1394Q16—2921no—
1395Q16—2921no—
1396Q16—2921no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—22no—
1400SD16—41no—
1401SD16—2921no—
1402SD16—1462no—
1403SD16—1462no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—22no—
1408D8—734no—
1409M16—2921no—
1410M16—1462no—
1411C2×C8—2921no—
1412C2×C8—2921no—
1413C2×C8—731no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—1462no—
1418C2×C8—1462no—
1419C2×C8C23×D7311yescharacteristic
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—731no—
1430C4⋊C4—731no—
1431C4⋊C4—731no—
1432C4⋊C4—731no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—731no—
1438C4⋊C4—731no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C4⋊C4C23×D7311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—731no—
1483C22⋊C4—731no—
1484C22⋊C4—731no—
1485C22⋊C4—731no—
1486C22⋊C4—731no—
1487C22⋊C4—731no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—731no—
1516C42—731no—
1517C42—731no—
1518C42—731no—
1519C42—731no—
1520C42—731no—
1521C42—1461no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42—1461no—
1530C42—1461no—
1531C42—1461no—
1532C42D4×D7311yescharacteristic
1533C42D4×D7311yescharacteristic
1534C42C23×D7311yescharacteristic
1535C42C23×D7311yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—2922no—
1539C23—2922no—
1540C23—5841no—
1541C23—731no—
1542C23—731no—
1543C23—1461no—
1544C23C2×D4×D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—2922no—
1550Q8—2922no—
1551Q8—2922no—
1552Q8—5841no—
1553Q8—1462no—
1554Q8—1461no—
1555Q8—1461no—
1556Q8—1461no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8—1461no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—42no—
1564D4—81no—
1565D4—2921no—
1566D4—2922no—
1567D4—2922no—
1568D4—2922no—
1569D4—2922no—
1570D4—2921no—
1571D4—2922no—
1572D4—5841no—
1573D4—732no—
1574D4—1462no—
1575D4—1461no—
1576D4#41×D7312yes—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—42no—
1588C2×C4—42no—
1589C2×C4—42no—
1590C2×C4—42no—
1591C2×C4—2922no—
1592C2×C4—2922no—
1593C2×C4—2921no—
1594C2×C4—2921no—
1595C2×C4—2921no—
1596C2×C4—2922no—
1597C2×C4—2922no—
1598C2×C4—2922no—
1599C2×C4—2922no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2922no—
1603C2×C4—2922no—
1604C2×C4—5841no—
1605C2×C4—5841no—
1606C2×C4—731no—
1607C2×C4—731no—
1608C2×C4—731no—
1609C2×C4—731no—
1610C2×C4—731no—
1611C2×C4—731no—
1612C2×C4—1462no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1461no—
1622C2×C4—1461no—
1623C2×C4—1461no—
1624C2×C4C2×D4×D7311yescharacteristic
1625C2×C4C2×D4×D7311yescharacteristic
1626C2×C4C2×D4×D7311yescharacteristic
1627C2×C4C2×D4×D7311yescharacteristic
1628C2×C4C2×D4×D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—732no—
1635C8—1461no—
1636C8—1461no—
1637C8—1461no—
1638C22—21no—
1639C22—21no—
1640C22—22no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—2921no—
1648C22—2921no—
1649C22—5844no—
1650C22—1461no—
1651C22—1461no—
1652C22—1462no—
1653C22—1461no—
1654C22—1461no—
1655C22—1461no—
1656C22—1461no—
1657C22C22×D4×D7311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—2921no—
1670C4—2921no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—2921no—
1675C4—2921no—
1676C4—732no—
1677C4—1461no—
1678C4—1461no—
1679C4—1461no—
1680C4—1461no—
1681C4—1461no—
1682C4C2×#41×D7311yescharacteristic
1683C4#1798942311yescharacteristic
1684C2—41no—
1685C2—42no—
1686C2—81no—
1687C2—2922no—
1688C2—2921no—
1689C2—2921no—
1690C2#2262341411yescharacteristic
1691C2#575×D7311yescharacteristic
1692C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3111C2
socleC22×C73C23×D4
hypercenter#3111D73
hypocenterC73#61461
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #22623546C2semidirect
2. #22623487C2semidirect
3. #22622965C2semidirect
4. #22622833C2semidirect
5. #22622715C2semidirect
6. #22622644C2semidirect
7. #22622468C2semidirect
8. #22622459C2semidirect
9. #22622342C2semidirect
10. #22622031C2semidirect
11. #22622024C2semidirect
12. #22621974C2semidirect
13. #22621965C2semidirect
14. #22621852C2semidirect
15. #22621846C2semidirect
16. #22621646C2semidirect
17. #22621451C2semidirect
18. #22621449C2semidirect
19. #22620673C2semidirect
20. #22620641C2semidirect
21. #22620636C2semidirect
22. #22620094C2semidirect
23. #22620091C2semidirect
24. #22620089C2semidirect
25. #22620036C2semidirect
26. #22620028C2semidirect
27. #22618940C2semidirect
28. #22618742C2semidirect
29. #22618729C2semidirect
30. #22618726C2semidirect
31. C73×#3111C2semidirect
35. #17989315C22semidirect
39. #17989305C22semidirect
51. D4×Dic146C22semidirect
56. #17989236C22semidirect
59. #17989144C22semidirect
62. #17989141C22semidirect
74. C4×#11924027C22semidirect
78. #17988997C22semidirect
79. #17988995C22semidirect
80. #17988984C22semidirect
83. #17988965C22semidirect
84. #17988957C22semidirect
85. #17988954C22semidirect
88. #17988936C22semidirect
89. #17988936C22semidirect
90. #17988931C22semidirect
91. #17988931C22semidirect
93. #17988929C22semidirect
94. #17988929C22semidirect
95. #17988927C22semidirect
100. #17988897C22semidirect
101. #17988889C22semidirect
102. #17988883C22semidirect
103. #17988881C22semidirect
104. #17988880C22semidirect
107. #17988875C22semidirect
114. #17988829C22semidirect
115. #17988827C22semidirect
116. #17988826C22semidirect
117. #17988826C22semidirect
124. #17988798C22semidirect
125. #17988796C22semidirect
126. #17988795C22semidirect
131. #17988790C22semidirect
136. #17988750C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
147. #17988695C22semidirect
148. #17988695C22semidirect
149. #17988692C22semidirect
150. #17988692C22semidirect
151. #17988692C22semidirect
152. #17988692C22semidirect
153. #17988691C22semidirect
156. #17988688C22semidirect
159. #17988687C22semidirect
160. #17988687C22semidirect
172. #17988650C22semidirect
173. #17988650C22semidirect
175. #17988642C22semidirect
177. #17988624C22semidirect
178. #17988623C22semidirect
181. #17988583C22semidirect
184. #17988580C22semidirect
186. C2×#14556502C22semidirect
187. #97×D73C22semidirect
189. C4×#41×C73C22semidirect
190. #485×C73C22semidirect
192. #479×C73C22semidirect
193. #478×C73C22semidirect
196. #452×C73C22semidirect
199. #441×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
542. #11924013#41semidirect
872. #3111D73semidirect
878. C73#61461semidirect
923. C4×#41C2×D73semidirect
946. #485C2×D73semidirect
952. #479C2×D73semidirect
954. #478C2×D73semidirect
994. #452C2×D73semidirect
1012. #441C2×D73semidirect
1024. #440C2×D73semidirect
1037. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235462
#226234872
#226229652
#226228332
#226227152
#226226442
#226224682
#226224592
#226223422
#226220312
#226220242
#226219742
#226219652
#226218522
#226218462
#226216462
#226214512
#226214492
#226206732
#226206412
#226206362
#226200942
#226200912
#226200892
#226200362
#226200282
#226189402
#226187422
#226187292
#226187262
C73×#31112
#6146173