Finite Group Databasebeta

← #33968037

Subgroups — #33968037

Order 18688.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623540C211yesmaximal, characteristic, complemented
2#22623527C211yesmaximal, characteristic, complemented
3#22622878C211yesmaximal, characteristic, complemented
4#22622693C211yesmaximal, characteristic, complemented
5#22622678C211yesmaximal, characteristic, complemented
6#22622481C211yesmaximal, characteristic, complemented
7#22622421C211yesmaximal, characteristic, complemented
8#22622335C211yesmaximal, characteristic, complemented
9#22622079C211yesmaximal, characteristic, complemented
10#22622049C211yesmaximal, characteristic, complemented
11#22621974C211yesmaximal, characteristic, complemented
12#22621944C211yesmaximal, characteristic, complemented
13#22621840C211yesmaximal, characteristic, complemented
14#22621788C211yesmaximal, characteristic, complemented
15#22621637C211yesmaximal, characteristic, complemented
16#22621470C211yesmaximal, characteristic, complemented
17#22621425C211yesmaximal, characteristic, complemented
18#22620657C211yesmaximal, characteristic, complemented
19#22620626C211yesmaximal, characteristic, complemented
20#22620626C211yesmaximal, characteristic, complemented
21#22620101C211yesmaximal, characteristic, complemented
22#22620079C211yesmaximal, characteristic, complemented
23#22620068C211yesmaximal, characteristic, complemented
24#22620039C211yesmaximal, characteristic, complemented
25#22620037C211yesmaximal, characteristic, complemented
26#22620021C211yesmaximal, characteristic, complemented
27#22618944C211yesmaximal, characteristic, complemented
28C4×#14556615C211yesmaximal, characteristic, complemented
29#22618726C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3403C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989320—21no—
36#17989315C2211yescharacteristic, complemented
37#17989310C2211yescharacteristic, complemented
38#17989306—21no—
39#17989297C2211yescharacteristic
40#17989297C2211yescharacteristic
41#17989287—21no—
42#17989287C2211yescharacteristic
43#17989287C2211yescharacteristic
44#17989287C2211yescharacteristic
45#17989287C2211yescharacteristic, complemented
46#17989282—21no—
47#17989282—21no—
48#17989265—21no—
49#17989265—21no—
50#17989257C2211yescharacteristic, complemented
51#17989245C2211yescharacteristic
52#17989245C2211yescharacteristic, complemented
53#17989230—21no—
54#17989230C2211yescharacteristic
55#17989230C2211yescharacteristic
56#17989222C2211yescharacteristic
57#17989136—21no—
58#17989135C2211yescharacteristic
59#17989135C2211yescharacteristic, complemented
60#17989116—21no—
61#17989116C2211yescharacteristic
62#17989116C2211yescharacteristic
63#17989116C2211yescharacteristic, complemented
64#17989116C2211yescharacteristic, complemented
65#17989114—21no—
66#17989114—21no—
67#17989095—21no—
68#17989095—21no—
69C4×#11924029C2211yescharacteristic
70C4×#11924029C2211yescharacteristic
71C4×#11924027—21no—
72C4×#11924027C2211yescharacteristic, complemented
73C4×#11924027C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic, complemented
75C4×D4×D73—21no—
76C4×D4×D73C2211yescharacteristic
77C4×D4×D73C2211yescharacteristic
78#17988996C2211yescharacteristic, complemented
79#17988996C2211yescharacteristic, complemented
80#17988989C2211yescharacteristic, complemented
81#17988951C2211yescharacteristic
82#17988951C2211yescharacteristic, complemented
83#17988946C2211yescharacteristic, complemented
84#17988946C2211yescharacteristic, complemented
85#17988941C2211yescharacteristic, complemented
86#17988941C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988910C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic
95#17988904C2211yescharacteristic
96#17988904C2211yescharacteristic, complemented
97#17988904C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988894C2211yescharacteristic, complemented
103#17988888C2211yescharacteristic
104#17988888C2211yescharacteristic
105#17988887C2211yescharacteristic, complemented
106#17988887C2211yescharacteristic, complemented
107#17988878C2211yescharacteristic
108#17988877C2211yescharacteristic, complemented
109#17988873C2211yescharacteristic, complemented
110#17988867C2211yescharacteristic, complemented
111#17988842C2211yescharacteristic, complemented
112#17988837C2211yescharacteristic
113#17988830C2211yescharacteristic
114#17988830C2211yescharacteristic, complemented
115#17988820C2211yescharacteristic
116#17988820C2211yescharacteristic
117#17988820C2211yescharacteristic, complemented
118#17988820C2211yescharacteristic, complemented
119#17988813C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988813C2211yescharacteristic, complemented
122#17988813C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic, complemented
124#17988806C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic
126#17988799C2211yescharacteristic
127#17988784C2211yescharacteristic
128#17988779C2211yescharacteristic
129#17988748C2211yescharacteristic
130#17988746C2211yescharacteristic, complemented
131#17988741C2211yescharacteristic, complemented
132#17988736C2211yescharacteristic
133#17988731C2211yescharacteristic
134#17988729C2211yescharacteristic
135#17988729C2211yescharacteristic, complemented
136#17988729C2211yescharacteristic, complemented
137#17988724C2211yescharacteristic
138#17988719C2211yescharacteristic
139#17988719C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988718C2211yescharacteristic, complemented
142#17988699C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic, complemented
145#17988699C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic
147#17988696C2211yescharacteristic
148#17988696C2211yescharacteristic
149#17988694C2211yescharacteristic, complemented
150#17988692C2211yescharacteristic, complemented
151#17988691C2211yescharacteristic, complemented
152#17988690C2211yescharacteristic
153#17988689C2211yescharacteristic
154#17988689C2211yescharacteristic
155#17988688C2211yescharacteristic, complemented
156#17988688C2211yescharacteristic, complemented
157#17988688C2211yescharacteristic, complemented
158#17988688C2211yescharacteristic, complemented
159#17988687C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic
161#17988685C2211yescharacteristic
162#17988684C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164C4×#11924017C2211yescharacteristic
165C4×#11924016C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic
167#17988660C2211yescharacteristic
168#17988660C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic
170#17988657C2211yescharacteristic, complemented
171C8×D292C2211yescharacteristic, complemented
172#17988652C2211yescharacteristic, complemented
173#17988643C2211yescharacteristic, complemented
174#17988643C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988624C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic
180#17988585C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic
182#17988580C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185C4×#11924011C2211yescharacteristic, complemented
186#97×D73C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#559×C73C2211yescharacteristic
189#559×C73C2211yescharacteristic, complemented
190#496×C73C2211yescharacteristic
191#496×C73C2211yescharacteristic, complemented
192#495×C73C2211yescharacteristic, complemented
193#464×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#459×C73C2211yescharacteristic
198#459×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×D8×C73C2211yescharacteristic, complemented
203C2×#11924029D411yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924027—21no—
206C2×#11924027—21no—
207C2×#11924027C2311yescharacteristic
208C2×#11924027C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556615—24no—
216#14556612—24no—
217C2×#11924018C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222SD16×D73—24no—
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924011C2311yescharacteristic
226C2×#11924011C2311yescharacteristic
227C2×C8×D73C2311yescharacteristic
228C2×C8×D73C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231#14556591C2311yescharacteristic
232#14556591C2311yescharacteristic
233#14556589—21no—
234#14556587—21no—
235#14556586—21no—
236#14556586—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556583—21no—
246#14556583C2311yescharacteristic
247#14556583C2311yescharacteristic
248#14556583C2311yescharacteristic
249#14556583C2311yescharacteristic
250#14556581—21no—
251#14556581—21no—
252#14556579—21no—
253#14556578—21no—
254#14556578—21no—
255#14556577—21no—
256#14556577—21no—
257#14556574—21no—
258#14556574—21no—
259#14556574—21no—
260#14556574—21no—
261#14556573—21no—
262#14556573—21no—
263#14556573—21no—
264#14556573—21no—
265#14556573—21no—
266#14556573—21no—
267#14556569—21no—
268#14556569—21no—
269#14556569—21no—
270#14556569—21no—
271#14556568—21no—
272#14556568—21no—
273#14556567—21no—
274#14556567C2311yescharacteristic
275#14556567C2311yescharacteristic
276#14556567C2311yescharacteristic
277#14556567C2311yescharacteristic
278#14556564—21no—
279#14556564—21no—
280#14556564—21no—
281#14556564—21no—
282#14556564—21no—
283#14556564—21no—
284#14556564—21no—
285#14556564—21no—
286#14556563—21no—
287#14556563—21no—
288#14556562—21no—
289#14556562—21no—
290#14556562—21no—
291#14556562C2311yescharacteristic
292#14556562C2311yescharacteristic
293#14556562C2311yescharacteristic
294#14556562C2311yescharacteristic
295#14556562C2311yescharacteristic
296#14556562C2311yescharacteristic
297#14556562C2311yescharacteristic
298#14556562C2311yescharacteristic
299#14556561—21no—
300#14556561—21no—
301#14556559—21no—
302#14556559—21no—
303Q8×Dic73D411yescharacteristic
304Q8×Dic73C2311yescharacteristic
305Q8×Dic73C2311yescharacteristic
306C4×Dic146—21no—
307C4×Dic146—21no—
308C4×Dic146C2311yescharacteristic
309C4×Dic146C2311yescharacteristic
310C4×Dic146C2311yescharacteristic
311#14556556—21no—
312#14556556—21no—
313#14556556C2311yescharacteristic
314C4×D292—21no—
315C4×D292—21no—
316C4×D292C2311yescharacteristic
317C4×D292C2311yescharacteristic
318C4×D292C2311yescharacteristic
319C4×D292C2311yescharacteristic
320C4×D292C2311yescharacteristic
321C4×D292C2311yescharacteristic
322D4×Dic73—21no—
323D4×Dic73—21no—
324D4×Dic73—21no—
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328D4×Dic73C2311yescharacteristic
329#14556553—21no—
330#14556553D411yescharacteristic
331#14556553D411yescharacteristic
332#14556553D411yescharacteristic
333#14556553C2311yescharacteristic
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556549—21no—
353#14556549D411yescharacteristic
354#14556549D411yescharacteristic
355#14556549D411yescharacteristic
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556547—21no—
360#14556547—21no—
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364#14556547—21no—
365C4⋊C4×D73—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C2×C4×Dic73—21no—
375C2×C4×Dic73—21no—
376C42×D73—21no—
377C42×D73—21no—
378C42×D73C2311yescharacteristic
379C42×D73C2311yescharacteristic
380C42×D73C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
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
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C2×Q16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447#127×C73C2311yescharacteristic
448#127×C73C2311yescharacteristic
449#124×C73—21no—
450#124×C73—21no—
451#124×C73C2311yescharacteristic
452#124×C73C2311yescharacteristic
453#124×C73C2311yescharacteristic
454#124×C73C2311yescharacteristic
455#123×C73—21no—
456#123×C73—21no—
457#123×C73—21no—
458#123×C73—21no—
459C4×Q8×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73—21no—
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×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—
483#11924029—22no—
484#11924029—42no—
485#11924029—41no—
486#11924027—22no—
487#11924027—22no—
488#11924027—41no—
489#11924027—41no—
490#11924027—44no—
491#11924027—82no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146C2411yescharacteristic
496Q8×D73—22no—
497Q8×D73—41no—
498C2×D292—21no—
499C2×D292C2×D411yescharacteristic
500C2×D292C2×D411yescharacteristic
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⋊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—
515D4×D73—22no—
516D4×D73—22no—
517D4×D73—41no—
518D4×D73—41no—
519D4×D73—44no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—82no—
536C2×C4×D73—82no—
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2411yescharacteristic
544C2×C4×D73C2411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546#11924018—22no—
547#11924017#4114yescomplemented
548#11924016—22no—
549#11924016—22no—
550#11924015—22no—
551#11924013—22no—
552#11924013—22no—
553#11924011—22no—
554#11924011—41no—
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C8×D73—22no—
560C8×D73—22no—
561C8×D73—41no—
562C8×D73—41no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73C2×D411yescharacteristic
568C4⋊Dic73C2×D411yescharacteristic
569C4⋊Dic73C2×D411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—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#11924005—21no—
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
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×Dic73C2×D411yescharacteristic
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C2×Q8×C73C2×D411yescharacteristic
641C2×Q8×C73C2411yescharacteristic
642C2×Q8×C73C2411yescharacteristic
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73C2411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655Q16×C73—41no—
656SD16×C73—22no—
657SD16×C73—22no—
658SD16×C73—41no—
659SD16×C73—41no—
660D8×C73—22no—
661D8×C73—41no—
662D8×C73—41no—
663D8×C73—41no—
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2×D411yescharacteristic
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
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—
687C42×C73—21no—
688C42×C73—21no—
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C22×D73—21no—
697C22×D73—42no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—81no—
702C22×D73—81no—
703C22×D73C22×D411yescharacteristic
704C22×D73C22×D411yescharacteristic
705C22×D73C22×D411yescharacteristic
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73—21no—
710Q8×C73—41no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—42no—
720D4×C73—42no—
721D4×C73—81no—
722D4×C73—81no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—81no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73—81no—
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C2511yescharacteristic
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—42no—
758C2×Dic73—42no—
759C2×Dic73—42no—
760C2×Dic73—42no—
761C2×Dic73—42no—
762C2×Dic73—42no—
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768D292—22no—
769D292—22no—
770D292—21no—
771D292—41no—
772D292—42no—
773D292C2×#4112yes—
774C4×D73—22no—
775C4×D73—21no—
776C4×D73—21no—
777C4×D73—21no—
778C4×D73—21no—
779C4×D73—21no—
780C4×D73—21no—
781C4×D73—41no—
782C4×D73—41no—
783C4×D73—41no—
784C4×D73—41no—
785C4×D73—41no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795Dic146—21no—
796Dic146—42no—
797Dic146—42no—
798Dic146—81no—
799Dic146C2×#4112yes—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73C23×D411yescharacteristic
821C2×D73—21no—
822C2×D73—21no—
823C2×D73—21no—
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—21no—
827C2×D73—22no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—84no—
833C2×D73—84no—
834C2×D73#57512yes—
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73C22×#4111yescharacteristic
846C4×C73#58511yescharacteristic
847Dic73—21no—
848Dic73—22no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—41no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—81no—
861C2×C73—81no—
862C2×C73—81no—
863C2×C73—81no—
864C2×C73D4×#4111yescharacteristic
865C2×C73C2×#57511yescharacteristic
866C2×C73#358511yescharacteristic
867D73—22no—
868D73—41no—
869D73—41no—
870D73—42no—
871#3481—731no—
872#3480—731no—
873#3403D7311yescharacteristic, complemented
874#3388—731no—
875#3371—731no—
876#3370—731no—
877#3350—731no—
878#3346—731no—
879#3339—731no—
880#3318—731no—
881#3316—731no—
882#3311—731no—
883#3309—731no—
884#3301—731no—
885#3297—731no—
886#3282—731no—
887#3268—731no—
888#3265—731no—
889#3183—731no—
890#3180—731no—
891#3180—731no—
892#3117—731no—
893#3115—731no—
894#3114—731no—
895#3111—731no—
896#3111—731no—
897#3109—731no—
898#2970—731no—
899C4×AGL(1,ℤ/8)—731no—
900#2943—731no—
901C2×#440—731no—
902C73#6145611yescharacteristic, complemented, Sylow
903C2×AGL(1,ℤ/8)—731no—
904C2×#135—731no—
905C22×SD16—731no—
906#559—1461no—
907#559C2×D7311yescharacteristic
908#559C2×D7311yescharacteristic, complemented
909#557—731no—
910#556—731no—
911#556—1461no—
912#554—731no—
913#554—731no—
914#553—731no—
915#553—731no—
916#553—731no—
917#553—731no—
918#553—1461no—
919#553—1461no—
920#553—1461no—
921#551—1461no—
922#551—1461no—
923#550—731no—
924#548—731no—
925#548—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
929D42—731no—
930#532—731no—
931#532—731no—
932#532—1461no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—1461no—
947C2×C4×Q8—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951#501—731no—
952#501—731no—
953#499—731no—
954#496C2×D7311yescharacteristic
955#496C2×D7311yescharacteristic, complemented
956#495C2×D7311yescharacteristic, complemented
957#490—731no—
958#490—731no—
959#489—731no—
960#489—731no—
961#488—731no—
962#488—731no—
963#485—731no—
964#485—731no—
965#484—731no—
966#483—731no—
967#482—731no—
968#482—731no—
969#482—731no—
970#482—731no—
971#481—731no—
972#481—731no—
973#481—731no—
974#480—731no—
975#479—731no—
976#479—731no—
977#479—731no—
978#479—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#476—731no—
984#476—731no—
985#475—731no—
986#474—731no—
987#470—731no—
988#469—731no—
989#468—731no—
990#468—731no—
991#466—731no—
992#466—731no—
993#466—731no—
994#466—731no—
995#465—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#464—731no—
1000#464—731no—
1001#464C2×D7311yescharacteristic, complemented
1002#464C2×D7311yescharacteristic, complemented
1003#463—731no—
1004#463—731no—
1005#463C2×D7311yescharacteristic, complemented
1006#463C2×D7311yescharacteristic, complemented
1007#460—731no—
1008#459—731no—
1009#459C2×D7311yescharacteristic
1010#459C2×D7311yescharacteristic, complemented
1011#452—731no—
1012#452—731no—
1013#451—731no—
1014#450—731no—
1015#449—731no—
1016#449—731no—
1017#449—731no—
1018#449—731no—
1019#448—731no—
1020#447—731no—
1021#447—731no—
1022#447—731no—
1023#446—731no—
1024#446C2×D7311yescharacteristic, complemented
1025#442—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#441—731no—
1033#441—731no—
1034#441—731no—
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440C2×D7311yescharacteristic, complemented
1048#440C2×D7311yescharacteristic, complemented
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×D8—731no—
1052C4×D8C2×D7311yescharacteristic, complemented
1053#435—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057C8×D4—731no—
1058C8×D4—731no—
1059#432—731no—
1060#432—731no—
1061#432—731no—
1062#428—731no—
1063#427—731no—
1064C2×#107—731no—
1065#418—731no—
1066#417—731no—
1067#416—731no—
1068#416—731no—
1069C2×#103—731no—
1070C2×#102—731no—
1071C4×M16—731no—
1072C2×#97—731no—
1073C2×#97—731no—
1074C2×#41—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—1461no—
1079C2×#41—1461no—
1080C22×Q8—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086AGL(1,ℤ/8)—1464no—
1087#135—1464no—
1088C2×Q16—731no—
1089C2×Q16C22×D7311yescharacteristic
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—1464no—
1095C2×SD16C22×D7311yescharacteristic
1096C2×SD16C22×D7311yescharacteristic
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8C22×D7311yescharacteristic
1102C2×D8C22×D7311yescharacteristic
1103C2×D8C22×D7311yescharacteristic
1104C2×D8C22×D7311yescharacteristic
1105C2×M16—731no—
1106C2×M16—731no—
1107C22×C8—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C4⋊Q8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8—1461no—
1114#127—1461no—
1115#127C22×D7311yescharacteristic
1116#127C22×D7311yescharacteristic
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—731no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#124—21no—
1135#124—21no—
1136#124—1461no—
1137#124—1461no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124C22×D7311yescharacteristic
1142#124C22×D7311yescharacteristic
1143#124C22×D7311yescharacteristic
1144#124C22×D7311yescharacteristic
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170#121—731no—
1171#121—731no—
1172#121—731no—
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#121—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8C22×D7311yescharacteristic
1207C4×Q8C22×D7311yescharacteristic
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4C22×D7311yescharacteristic
1250C4×D4C22×D7311yescharacteristic
1251C4×D4C22×D7311yescharacteristic
1252C4×D4C22×D7311yescharacteristic
1253#117—731no—
1254#117—731no—
1255#117—731no—
1256#117—731no—
1257#117—731no—
1258#117—731no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264#117—1461no—
1265#117—1461no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—731no—
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C42—731no—
1276C2×C42—731no—
1277C2×C42—731no—
1278C2×C42—1461no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282#107—731no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107C22×D7311yescharacteristic
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106—731no—
1298C4⋊C8—731no—
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8C22×D7311yescharacteristic
1302C4⋊C8C22×D7311yescharacteristic
1303C4⋊C8C22×D7311yescharacteristic
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336C22⋊C8—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342#97—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97C22×D7311yescharacteristic
1349#97C22×D7311yescharacteristic
1350C4×C8—731no—
1351C4×C8C22×D7311yescharacteristic
1352C24—1461no—
1353C24—1461no—
1354#41—2921no—
1355#41—2921no—
1356#41—2924no—
1357#41—2921no—
1358#41—2922no—
1359#41—5842no—
1360#41—1462no—
1361#41—1462no—
1362#41—1462no—
1363C2×Q8—2921no—
1364C2×Q8—731no—
1365C2×Q8—1461no—
1366C2×Q8—1462no—
1367C2×Q8—1461no—
1368C2×Q8—1461no—
1369C2×Q8D4×D7311yescharacteristic
1370C2×Q8C23×D7311yescharacteristic
1371C2×Q8C23×D7311yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—2924no—
1377C2×D4—2921no—
1378C2×D4—2921no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1462no—
1387C2×D4—1462no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4C23×D7311yescharacteristic
1399C2×D4C23×D7311yescharacteristic
1400C2×D4C23×D7311yescharacteristic
1401C2×D4C23×D7311yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—5842no—
1407C22×C4—5842no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—731no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432Q16—41no—
1433Q16—1462no—
1434SD16—22no—
1435SD16—22no—
1436SD16—41no—
1437SD16—41no—
1438SD16—734no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16—1462no—
1442D8—22no—
1443D8—41no—
1444D8—41no—
1445D8—41no—
1446D8—1462no—
1447D8—1462no—
1448M16—2921no—
1449M16—1462no—
1450C2×C8—2921no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—1462no—
1457C2×C8—1462no—
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C2×C8C23×D7311yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—731no—
1465C4⋊C4—731no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4D4×D7311yescharacteristic
1497C4⋊C4D4×D7311yescharacteristic
1498C4⋊C4D4×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
1515C22⋊C4—731no—
1516C22⋊C4—731no—
1517C22⋊C4—731no—
1518C22⋊C4—731no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C42—21no—
1543C42—21no—
1544C42—731no—
1545C42—731no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—1461no—
1552C42—1461no—
1553C42—1461no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42C23×D7311yescharacteristic
1561C42C23×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—2922no—
1568C23—2922no—
1569C23—2922no—
1570C23—2922no—
1571C23—5841no—
1572C23—5841no—
1573C23—731no—
1574C23—731no—
1575C23—731no—
1576C23—1461no—
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—41no—
1582Q8—2922no—
1583Q8—2922no—
1584Q8—5841no—
1585Q8—732no—
1586Q8—1461no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—42no—
1596D4—42no—
1597D4—81no—
1598D4—81no—
1599D4—2921no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—2922no—
1607D4—2922no—
1608D4—2922no—
1609D4—5841no—
1610D4—5841no—
1611D4—5841no—
1612D4—5841no—
1613D4—732no—
1614D4—1462no—
1615D4—1462no—
1616D4—1461no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—2922no—
1626C2×C4—2921no—
1627C2×C4—2921no—
1628C2×C4—2921no—
1629C2×C4—2921no—
1630C2×C4—2921no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—5841no—
1641C2×C4—5841no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—731no—
1646C2×C4—731no—
1647C2×C4—731no—
1648C2×C4—731no—
1649C2×C4—731no—
1650C2×C4—1462no—
1651C2×C4—1461no—
1652C2×C4—1461no—
1653C2×C4—1461no—
1654C2×C4—1461no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4C2×D4×D7311yescharacteristic
1665C2×C4C2×D4×D7311yescharacteristic
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C24×D7311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—1461no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8#41×D7312yes—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—2921no—
1692C22—2921no—
1693C22—5844no—
1694C22—5844no—
1695C22—732no—
1696C22—1461no—
1697C22—1461no—
1698C22—1462no—
1699C22—1461no—
1700C22—1461no—
1701C22—1461no—
1702C22—1461no—
1703C22—1461no—
1704C22—1461no—
1705C22C22×D4×D7311yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—2921no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—1461no—
1723C4—1461no—
1724C4—1462no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4C2×#41×D7311yescharacteristic
1729C4#1798942211yescharacteristic
1730C2—81no—
1731C2—81no—
1732C2—81no—
1733C2—81no—
1734C2—2922no—
1735C2—2921no—
1736C2—2921no—
1737C2—1462no—
1738C2#2262342111yescharacteristic
1739C2#575×D7311yescharacteristic
1740C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3403C2
socleC22×C73C23×D4
hypercenter#3403D73
hypocenterC73#61456
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3403

Complements

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

NH ≅ G/Ntype
1. #22623540C2semidirect
2. #22623527C2semidirect
3. #22622878C2semidirect
4. #22622693C2semidirect
5. #22622678C2semidirect
6. #22622481C2semidirect
7. #22622421C2semidirect
8. #22622335C2semidirect
9. #22622079C2semidirect
10. #22622049C2semidirect
11. #22621974C2semidirect
12. #22621944C2semidirect
13. #22621840C2semidirect
14. #22621788C2semidirect
15. #22621637C2semidirect
16. #22621470C2semidirect
17. #22621425C2semidirect
18. #22620657C2semidirect
19. #22620626C2semidirect
20. #22620626C2semidirect
21. #22620101C2semidirect
22. #22620079C2semidirect
23. #22620068C2semidirect
24. #22620039C2semidirect
25. #22620037C2semidirect
26. #22620021C2semidirect
27. #22618944C2semidirect
28. C4×#14556615C2semidirect
29. #22618726C2semidirect
30. #440×D73C2semidirect
31. C73×#3403C2semidirect
36. #17989315C22semidirect
37. #17989310C22semidirect
45. #17989287C22semidirect
50. #17989257C22semidirect
52. #17989245C22semidirect
59. #17989135C22semidirect
63. #17989116C22semidirect
64. #17989116C22semidirect
72. C4×#11924027C22semidirect
73. C4×#11924027C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988996C22semidirect
79. #17988996C22semidirect
80. #17988989C22semidirect
82. #17988951C22semidirect
83. #17988946C22semidirect
84. #17988946C22semidirect
85. #17988941C22semidirect
86. #17988941C22semidirect
87. #17988927C22semidirect
88. #17988926C22semidirect
89. #17988921C22semidirect
90. #17988916C22semidirect
91. #17988910C22semidirect
92. #17988910C22semidirect
93. #17988910C22semidirect
96. #17988904C22semidirect
97. #17988904C22semidirect
98. #17988899C22semidirect
99. #17988895C22semidirect
100. #17988895C22semidirect
101. #17988894C22semidirect
102. #17988894C22semidirect
105. #17988887C22semidirect
106. #17988887C22semidirect
108. #17988877C22semidirect
109. #17988873C22semidirect
110. #17988867C22semidirect
111. #17988842C22semidirect
114. #17988830C22semidirect
117. #17988820C22semidirect
118. #17988820C22semidirect
119. #17988813C22semidirect
120. #17988813C22semidirect
121. #17988813C22semidirect
122. #17988813C22semidirect
123. #17988806C22semidirect
124. #17988806C22semidirect
130. #17988746C22semidirect
131. #17988741C22semidirect
135. #17988729C22semidirect
136. #17988729C22semidirect
141. #17988718C22semidirect
142. #17988699C22semidirect
143. #17988699C22semidirect
144. #17988699C22semidirect
145. #17988699C22semidirect
149. #17988694C22semidirect
150. #17988692C22semidirect
151. #17988691C22semidirect
155. #17988688C22semidirect
156. #17988688C22semidirect
157. #17988688C22semidirect
158. #17988688C22semidirect
159. #17988687C22semidirect
162. #17988684C22semidirect
163. #17988684C22semidirect
165. C4×#11924016C22semidirect
168. #17988660C22semidirect
170. #17988657C22semidirect
171. C8×D292C22semidirect
172. #17988652C22semidirect
173. #17988643C22semidirect
174. #17988643C22semidirect
175. #17988643C22semidirect
176. #17988628C22semidirect
177. #17988624C22semidirect
178. #107×D73C22semidirect
180. #17988585C22semidirect
182. #17988580C22semidirect
183. #103×D73C22semidirect
185. C4×#11924011C22semidirect
186. #97×D73C22semidirect
187. #97×D73C22semidirect
189. #559×C73C22semidirect
191. #496×C73C22semidirect
192. #495×C73C22semidirect
193. #464×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #463×C73C22semidirect
198. #459×C73C22semidirect
199. #446×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. C4×D8×C73C22semidirect
547. #11924017#41semidirect
873. #3403D73semidirect
902. C73#61456semidirect
908. #559C2×D73semidirect
955. #496C2×D73semidirect
956. #495C2×D73semidirect
1001. #464C2×D73semidirect
1002. #464C2×D73semidirect
1005. #463C2×D73semidirect
1006. #463C2×D73semidirect
1010. #459C2×D73semidirect
1024. #446C2×D73semidirect
1047. #440C2×D73semidirect
1048. #440C2×D73semidirect
1052. C4×D8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235402
#226235272
#226228782
#226226932
#226226782
#226224812
#226224212
#226223352
#226220792
#226220492
#226219742
#226219442
#226218402
#226217882
#226216372
#226214702
#226214252
#226206572
#226206262
#226201012
#226200792
#226200682
#226200392
#226200372
#226200212
#226189442
C4×#145566152
#226187262
#440×D732
C73×#34032
#6145673