Finite Group Databasebeta

← #33968389

Subgroups — #33968389

Order 18688.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623919C211yesmaximal, characteristic, complemented
2#22623870C211yesmaximal, characteristic, complemented
3#22622808C211yesmaximal, characteristic, complemented
4#22622752C211yesmaximal, characteristic, complemented
5#22622693C211yesmaximal, characteristic, complemented
6#22622315C211yesmaximal, characteristic, complemented
7#22622315C211yesmaximal, characteristic, complemented
8#22622290C211yesmaximal, characteristic, complemented
9#22622191C211yesmaximal, characteristic, complemented
10#22622154C211yesmaximal, characteristic, complemented
11#22622079C211yesmaximal, characteristic, complemented
12#22622019C211yesmaximal, characteristic, complemented
13#22621989C211yesmaximal, characteristic, complemented
14#22621929C211yesmaximal, characteristic, complemented
15#22621637C211yesmaximal, characteristic, complemented
16#22621637C211yesmaximal, characteristic, complemented
17#22621626C211yesmaximal, characteristic, complemented
18#22620556C211yesmaximal, characteristic, complemented
19#22620545C211yesmaximal, characteristic, complemented
20#22620498C211yesmaximal, characteristic, complemented
21#22620159C211yesmaximal, characteristic, complemented
22#22620144C211yesmaximal, characteristic, complemented
23#22620127C211yesmaximal, characteristic, complemented
24#22620112C211yesmaximal, characteristic, complemented
25#22620101C211yesmaximal, characteristic, complemented
26#22620068C211yesmaximal, characteristic, complemented
27#22618908C211yesmaximal, characteristic, complemented
28#22618809C211yesmaximal, characteristic, complemented
29#22618785C211yesmaximal, characteristic, complemented
30C4×SD16×D73C211yesmaximal, characteristic, complemented
31C73×#3394C211yesmaximal, characteristic, complemented
32C2×#14556612C2211yescharacteristic
33C2×SD16×D73C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989315C2211yescharacteristic, complemented
36#17989304—21no—
37#17989297C2211yescharacteristic
38#17989297C2211yescharacteristic, complemented
39#17989291—21no—
40#17989288—21no—
41#17989287C2211yescharacteristic
42#17989287C2211yescharacteristic
43#17989282—21no—
44#17989278C2211yescharacteristic
45#17989278C2211yescharacteristic, complemented
46#17989270—21no—
47#17989267—21no—
48#17989266—21no—
49#17989252C2211yescharacteristic
50#17989245C2211yescharacteristic, complemented
51#17989245C2211yescharacteristic, complemented
52#17989242C2211yescharacteristic
53#17989230C2211yescharacteristic
54#17989230C2211yescharacteristic
55#17989229—21no—
56#17989222C2211yescharacteristic
57#17989207—21no—
58#17989206C2211yescharacteristic
59#17989206C2211yescharacteristic, complemented
60#17989198C2211yescharacteristic, complemented
61#17989194—21no—
62#17989191C2211yescharacteristic
63#17989180—21no—
64#17989171—21no—
65#17989124C2211yescharacteristic
66#17989120—21no—
67#17989116C2211yescharacteristic
68#17989116C2211yescharacteristic, complemented
69#17989115—21no—
70#17989096—21no—
71#123×D73—21no—
72#17989069C2211yescharacteristic
73#17989066C2211yescharacteristic, complemented
74#17989063C2211yescharacteristic, complemented
75#17989059C2211yescharacteristic
76C4×Q8×D73C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic
78#17988989C2211yescharacteristic, complemented
79#17988989C2211yescharacteristic, complemented
80#17988985C2211yescharacteristic, complemented
81#17988955C2211yescharacteristic, complemented
82#17988951C2211yescharacteristic
83#17988946C2211yescharacteristic, complemented
84#17988946C2211yescharacteristic, complemented
85#17988941C2211yescharacteristic, complemented
86#17988941C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988916C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic
94#17988909C2211yescharacteristic, complemented
95#17988904C2211yescharacteristic
96#17988904C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, 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#17988883C2211yescharacteristic, complemented
108#17988877C2211yescharacteristic, complemented
109#17988872C2211yescharacteristic, complemented
110#17988868C2211yescharacteristic
111#17988842C2211yescharacteristic, complemented
112#17988837C2211yescharacteristic
113#17988830C2211yescharacteristic, complemented
114#17988830C2211yescharacteristic, complemented
115#17988825C2211yescharacteristic, complemented
116#17988820C2211yescharacteristic
117#17988813C2211yescharacteristic
118#17988813C2211yescharacteristic
119#17988813C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988813C2211yescharacteristic, complemented
122#17988813C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic, complemented
124#17988806C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic
126#17988799C2211yescharacteristic
127#17988789C2211yescharacteristic
128#17988784C2211yescharacteristic
129#17988748C2211yescharacteristic
130#17988748C2211yescharacteristic
131#17988741C2211yescharacteristic, complemented
132#17988741C2211yescharacteristic, complemented
133#17988736C2211yescharacteristic
134#17988736C2211yescharacteristic
135#17988729C2211yescharacteristic, complemented
136#17988729C2211yescharacteristic, complemented
137#17988724C2211yescharacteristic
138#17988724C2211yescharacteristic
139#17988719C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988718C2211yescharacteristic, complemented
142#17988699C2211yescharacteristic, complemented
143#17988697C2211yescharacteristic
144#17988696C2211yescharacteristic
145#17988694C2211yescharacteristic, complemented
146#17988692C2211yescharacteristic, complemented
147#17988691C2211yescharacteristic, complemented
148#17988690C2211yescharacteristic
149#17988688C2211yescharacteristic, complemented
150#17988688C2211yescharacteristic, complemented
151#17988687C2211yescharacteristic, complemented
152#17988685C2211yescharacteristic
153#17988684C2211yescharacteristic, complemented
154Q16×Dic73C2211yescharacteristic, complemented
155#17988678C2211yescharacteristic, complemented
156C4×#11924017C2211yescharacteristic
157C4×#11924017C2211yescharacteristic
158C4×#11924017C2211yescharacteristic
159SD16×Dic73C2211yescharacteristic, complemented
160SD16×Dic73C2211yescharacteristic, complemented
161SD16×Dic73C2211yescharacteristic, complemented
162C4×#11924015C2211yescharacteristic
163#17988674C2211yescharacteristic
164C4×#11924016C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic
166D8×Dic73C2211yescharacteristic, complemented
167#17988664C2211yescharacteristic, complemented
168#17988657C2211yescharacteristic
169#17988657C2211yescharacteristic, complemented
170C8×D292C2211yescharacteristic
171C8×D292C2211yescharacteristic, complemented
172C8×D292C2211yescharacteristic, complemented
173#17988647C2211yescharacteristic, complemented
174#17988647C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988622C2211yescharacteristic, complemented
177#106×D73C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic
181#17988587C2211yescharacteristic
182#17988585C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185#17988541C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#559×C73C2211yescharacteristic
189#556×C73C2211yescharacteristic, complemented
190#495×C73C2211yescharacteristic, complemented
191#495×C73C2211yescharacteristic, complemented
192#492×C73C2211yescharacteristic
193#464×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#462×C73C2211yescharacteristic, complemented
198#459×C73C2211yescharacteristic
199C8×Q8×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202C4×SD16×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924027C2311yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212#14556612—24no—
213C2×#11924018C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219SD16×D73—24no—
220SD16×D73—24no—
221C2×#11924013C2311yescharacteristic
222C2×#11924011C2311yescharacteristic
223C2×#11924011C2311yescharacteristic
224C2×C8×D73C2311yescharacteristic
225C2×C8×D73C2311yescharacteristic
226C2×C8×D73C2311yescharacteristic
227C2×C8×D73C2311yescharacteristic
228#14556591C2311yescharacteristic
229#14556591C2311yescharacteristic
230#14556590—21no—
231#14556589—21no—
232#14556586—21no—
233#14556586—21no—
234#14556586D411yescharacteristic
235#14556586D411yescharacteristic
236#14556585—21no—
237#14556585—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556583—21no—
245#14556583C2311yescharacteristic
246#14556583C2311yescharacteristic
247#14556583C2311yescharacteristic
248#14556583C2311yescharacteristic
249#14556582D411yescharacteristic
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556580D411yescharacteristic
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576D411yescharacteristic
264#14556576D411yescharacteristic
265#14556575—21no—
266#14556575—21no—
267#14556574—21no—
268#14556574—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556572—21no—
276#14556572—21no—
277#14556570—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556568—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556567—21no—
289#14556567D411yescharacteristic
290#14556567C2311yescharacteristic
291#14556567C2311yescharacteristic
292#14556567C2311yescharacteristic
293#14556567C2311yescharacteristic
294#14556567C2311yescharacteristic
295#14556567C2311yescharacteristic
296#14556566D411yescharacteristic
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556563—21no—
304#14556563—21no—
305#14556562—21no—
306#14556562C2311yescharacteristic
307#14556562C2311yescharacteristic
308#14556562C2311yescharacteristic
309#14556562C2311yescharacteristic
310#14556562C2311yescharacteristic
311#14556562C2311yescharacteristic
312#14556561—21no—
313#14556561—21no—
314#14556559—21no—
315#14556559—21no—
316Q8×Dic73C2311yescharacteristic
317Q8×Dic73C2311yescharacteristic
318Q8×Dic73C2311yescharacteristic
319C4×Dic146—21no—
320C4×Dic146—21no—
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324#14556556—21no—
325#14556556—21no—
326#14556556—21no—
327#14556556C2311yescharacteristic
328C4×D292—21no—
329C4×D292—21no—
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553C2311yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556549—21no—
355#14556549C2311yescharacteristic
356#14556549C2311yescharacteristic
357#14556548—21no—
358#14556548—21no—
359#14556548—21no—
360#14556548—21no—
361#14556548C2311yescharacteristic
362#14556548C2311yescharacteristic
363#14556547—21no—
364#14556547—21no—
365#14556547—21no—
366C2×#11924007—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C42×D73—21no—
380C42×D73C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
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#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
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×Q16×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C4⋊Q8×C73C2311yescharacteristic
448#127×C73C2311yescharacteristic
449#126×C73—21no—
450#126×C73—21no—
451#124×C73—21no—
452#124×C73C2311yescharacteristic
453#124×C73C2311yescharacteristic
454#124×C73C2311yescharacteristic
455#124×C73C2311yescharacteristic
456#123×C73—21no—
457#123×C73—21no—
458C22⋊Q8×C73—21no—
459C4×Q8×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×Q8×C73C2311yescharacteristic
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467#117×C73—21no—
468#106×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C4×C8×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924028—82no—
486#11924027—22no—
487#11924027—41no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2411yescharacteristic
493Q8×D73—22no—
494Q8×D73—22no—
495Q8×D73—41no—
496Q8×D73—41no—
497C2×D292—21no—
498C2×D292C2×D411yescharacteristic
499C2×D292C2×D411yescharacteristic
500C2×D292C2×D411yescharacteristic
501C2×D292C2411yescharacteristic
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—
511D4×D73—22no—
512D4×D73—22no—
513D4×D73—41no—
514D4×D73—41no—
515D4×D73—82no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—82no—
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2411yescharacteristic
535C2×C4×D73C2411yescharacteristic
536C2×C4×D73C2411yescharacteristic
537#11924018—22no—
538#11924017#4114yescomplemented
539#11924016—22no—
540#11924016—22no—
541#11924015—22no—
542#11924015—22no—
543#11924013—22no—
544#11924011—41no—
545#11924011—41no—
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C8×D73—22no—
551C8×D73—22no—
552C8×D73—22no—
553C8×D73—41no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73C2×D411yescharacteristic
560C4⋊Dic73C2×D411yescharacteristic
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
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—
603#11924005—21no—
604#11924005—21no—
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#11924005C2×D411yescharacteristic
616#11924005C2×D411yescharacteristic
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
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×Dic73C2411yescharacteristic
637C2×Q8×C73C2×D411yescharacteristic
638C2×Q8×C73C2411yescharacteristic
639C2×Q8×C73C2411yescharacteristic
640C2×Q8×C73C2411yescharacteristic
641C2×D4×C73—21no—
642C2×D4×C73—21no—
643C2×D4×C73C2411yescharacteristic
644C2×D4×C73C2411yescharacteristic
645C2×D4×C73C2411yescharacteristic
646C22×C4×C73—21no—
647C22×C4×C73—21no—
648C22×C4×C73—21no—
649Q16×C73—41no—
650Q16×C73—41no—
651SD16×C73—22no—
652SD16×C73—22no—
653SD16×C73—22no—
654SD16×C73—41no—
655SD16×C73—41no—
656D8×C73—41no—
657D8×C73—41no—
658C2×C8×C73C2411yescharacteristic
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73C2×D411yescharacteristic
668C4⋊C4×C73C2×D411yescharacteristic
669C4⋊C4×C73C2×D411yescharacteristic
670C4⋊C4×C73C2411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C22⋊C4×C73—21no—
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—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C42×C73—21no—
684C42×C73—21no—
685C42×C73—21no—
686C42×C73C2411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—21no—
692C22×D73—21no—
693C22×D73—42no—
694C22×D73—42no—
695C22×D73—42no—
696C22×D73—81no—
697C22×D73—81no—
698C22×D73—81no—
699C22×D73C22×D411yescharacteristic
700C22×D73C22×D411yescharacteristic
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—41no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—81no—
716D4×C73—81no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—81no—
723C2×C4×C73—81no—
724C2×C4×C73—81no—
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C2511yescharacteristic
732C22⋊D73—42no—
733C22⋊D73—42no—
734C22⋊D73—42no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—81no—
738C22⋊D73—81no—
739C22⋊D73—81no—
740C22⋊D73—81no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—42no—
749C2×Dic73—81no—
750C2×Dic73—81no—
751C2×Dic73—81no—
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757D292—22no—
758D292—22no—
759D292—21no—
760D292—41no—
761D292—42no—
762D292C2×#4112yes—
763C4×D73—22no—
764C4×D73—21no—
765C4×D73—21no—
766C4×D73—21no—
767C4×D73—21no—
768C4×D73—21no—
769C4×D73—21no—
770C4×D73—41no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—42no—
774C4×D73—42no—
775C4×D73—81no—
776C4×D73—81no—
777C4×D73—81no—
778C4×D73—81no—
779C4×D73—81no—
780C4×D73—81no—
781C4×D73—81no—
782Dic146—21no—
783Dic146—42no—
784Dic146—42no—
785Dic146—81no—
786Dic146—81no—
787Dic146C2×#4112yes—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73C2×#4112yes—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831—21no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73C23×D411yescharacteristic
806C2×D73—21no—
807C2×D73—21no—
808C2×D73—21no—
809C2×D73—21no—
810C2×D73—21no—
811C2×D73—21no—
812C2×D73—22no—
813C2×D73—21no—
814C2×D73—21no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—84no—
818C2×D73—162no—
819C2×D73#57712yes—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73—21no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73C22×#4111yescharacteristic
832C4×C73#58511yescharacteristic
833Dic73—21no—
834Dic73—22no—
835Dic73—21no—
836Dic73—21no—
837Dic73—21no—
838Dic73—21no—
839Dic73—41no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845#61472—731nomaximal, Sylow
846C2×C73—81no—
847C2×C73—81no—
848C2×C73—81no—
849C2×C73D4×#4111yescharacteristic
850C2×C73C2×#57711yescharacteristic
851C2×C73#358411yescharacteristic
852D73—22no—
853D73—41no—
854D73—41no—
855D73—42no—
856#3516—731no—
857#3513—731no—
858#3394D7311yescharacteristic, complemented
859#3381—731no—
860#3376—731no—
861#3371—731no—
862#3337—731no—
863#3337—731no—
864#3335—731no—
865#3326—731no—
866#3323—731no—
867#3318—731no—
868#3314—731no—
869#3312—731no—
870#3308—731no—
871#3282—731no—
872#3282—731no—
873D4×SD16—731no—
874#3174—731no—
875#3173—731no—
876#3168—731no—
877#3121—731no—
878#3120—731no—
879#3119—731no—
880#3118—731no—
881#3117—731no—
882#3114—731no—
883#2966—731no—
884#2952—731no—
885#2949—731no—
886C2×C4×SD16—731no—
887C73#6147211yescharacteristic, complemented, Sylow
888C2×#135—731no—
889C22×SD16—731no—
890C22×SD16—731no—
891#559C2×D7311yescharacteristic
892#557—731no—
893#556—1461no—
894#556C2×D7311yescharacteristic, complemented
895#554—731no—
896#554—731no—
897#554—1461no—
898#553—731no—
899#553—731no—
900#553—1461no—
901#553—1461no—
902#552—731no—
903#552—731no—
904#552—1461no—
905#551—1461no—
906#551—1461no—
907D4×Q8—731no—
908#548—731no—
909#548—731no—
910#547—731no—
911#546—731no—
912#546—731no—
913#546—1461no—
914D42—731no—
915#542—731no—
916#542—731no—
917#542—1461no—
918#541—731no—
919#541—1461no—
920#540—731no—
921#539—1461no—
922#538—1461no—
923#529—731no—
924#529—731no—
925#529—731no—
926#529—1461no—
927#529—1461no—
928#525—1461no—
929C2×#123—1461no—
930#520—731no—
931#520—731no—
932#519—731no—
933#518—731no—
934C2×C4×Q8—731no—
935C2×C4×D4—731no—
936#499—731no—
937#499—731no—
938#498—731no—
939#495C2×D7311yescharacteristic, complemented
940#495C2×D7311yescharacteristic, complemented
941#492C2×D7311yescharacteristic
942#491—731no—
943#490—731no—
944#489—731no—
945#489—731no—
946#488—731no—
947#488—731no—
948#485—731no—
949#485—731no—
950#484—731no—
951#484—731no—
952#483—731no—
953#483—731no—
954#482—731no—
955#482—731no—
956#481—731no—
957#481—731no—
958#480—731no—
959#480—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#479—731no—
964#478—731no—
965#478—731no—
966#478—731no—
967#478—731no—
968#477—731no—
969#476—731no—
970#475—731no—
971#474—731no—
972#470—731no—
973#469—731no—
974#468—731no—
975#468—731no—
976#467—731no—
977#466—731no—
978#465—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465—731no—
983#465—731no—
984#464—731no—
985#464—731no—
986#464C2×D7311yescharacteristic, complemented
987#464C2×D7311yescharacteristic, complemented
988#463—731no—
989#463—731no—
990#463C2×D7311yescharacteristic, complemented
991#463C2×D7311yescharacteristic, complemented
992#462C2×D7311yescharacteristic, complemented
993#461—731no—
994#460—731no—
995#459C2×D7311yescharacteristic
996#452—731no—
997#452—731no—
998#451—731no—
999#451—731no—
1000#450—731no—
1001#450—731no—
1002#449—731no—
1003#449—731no—
1004#448—731no—
1005#448—731no—
1006#447—731no—
1007#447—731no—
1008#446—731no—
1009C8×Q8C2×D7311yescharacteristic, complemented
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#441—731no—
1014#441—731no—
1015#441—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022C4×Q16—731no—
1023C4×SD16—731no—
1024C4×SD16—731no—
1025C4×SD16—731no—
1026C4×SD16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16C2×D7311yescharacteristic, complemented
1035C4×SD16C2×D7311yescharacteristic, complemented
1036C4×SD16C2×D7311yescharacteristic, complemented
1037C4×D8—731no—
1038#436—731no—
1039#435—731no—
1040#435—731no—
1041C8×D4—731no—
1042C8×D4—731no—
1043C8×D4—731no—
1044#433—731no—
1045#433—731no—
1046#432—731no—
1047#427—731no—
1048C2×#106—731no—
1049C2×#106—731no—
1050#419—731no—
1051#418—731no—
1052#417—731no—
1053#417—731no—
1054C2×#103—731no—
1055C2×#102—731no—
1056#405—731no—
1057#405—731no—
1058C2×C4×C8—731no—
1059C2×#41—731no—
1060C2×#41—731no—
1061C2×#41—1461no—
1062C22×Q8—731no—
1063C22×Q8—731no—
1064C22×D4—731no—
1065C22×D4—731no—
1066C22×D4—1461no—
1067C23×C4—1461no—
1068#135—1464no—
1069C2×Q16—731no—
1070C2×Q16C22×D7311yescharacteristic
1071C2×Q16C22×D7311yescharacteristic
1072C2×SD16—731no—
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—1464no—
1078C2×SD16—1464no—
1079C2×SD16C22×D7311yescharacteristic
1080C2×SD16C22×D7311yescharacteristic
1081C2×SD16C22×D7311yescharacteristic
1082C2×SD16C22×D7311yescharacteristic
1083C2×SD16C22×D7311yescharacteristic
1084C2×D8—731no—
1085C2×D8C22×D7311yescharacteristic
1086C2×D8C22×D7311yescharacteristic
1087C2×M16—731no—
1088C2×M16—731no—
1089C22×C8—731no—
1090C22×C8—731no—
1091C22×C8—731no—
1092C22×C8—731no—
1093C4⋊Q8—731no—
1094C4⋊Q8—731no—
1095C4⋊Q8—1461no—
1096C4⋊Q8—1461no—
1097C4⋊Q8C22×D7311yescharacteristic
1098#127C22×D7311yescharacteristic
1099#126—21no—
1100#126—21no—
1101#126—731no—
1102#126—731no—
1103#126—1461no—
1104#126—1461no—
1105#126—1461no—
1106#126—1461no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#125—731no—
1114#125—731no—
1115#125—731no—
1116#125—731no—
1117#125—731no—
1118#125—1461no—
1119#125—1461no—
1120#125—1461no—
1121#125—1461no—
1122#125—1461no—
1123#125—1461no—
1124#125—1461no—
1125#124—21no—
1126#124—731no—
1127#124—1461no—
1128#124—1461no—
1129#124—1461no—
1130#124—1461no—
1131#124C22×D7311yescharacteristic
1132#124C22×D7311yescharacteristic
1133#124C22×D7311yescharacteristic
1134#124C22×D7311yescharacteristic
1135#123—21no—
1136#123—21no—
1137#123—731no—
1138#123—731no—
1139#123—1461no—
1140#123—1461no—
1141#123—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153C22⋊Q8—21no—
1154C22⋊Q8—731no—
1155C22⋊Q8—731no—
1156C22⋊Q8—731no—
1157C22⋊Q8—731no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
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#120—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—731no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—1461no—
1201C4×Q8—1461no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8C22×D7311yescharacteristic
1206C4×Q8C22×D7311yescharacteristic
1207C4×Q8C22×D7311yescharacteristic
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—21no—
1210C4×D4—731no—
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—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—21no—
1240#117—731no—
1241#117—731no—
1242#117—731no—
1243#117—731no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249#117—1461no—
1250#117—1461no—
1251#117—1461no—
1252C2×C4⋊C4—731no—
1253C2×C4⋊C4—731no—
1254C2×C4⋊C4—731no—
1255C2×C4⋊C4—731no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4—1461no—
1258C2×C4⋊C4—1461no—
1259C2×C4⋊C4—1461no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C22⋊C4—1461no—
1265C2×C42—731no—
1266C2×C42—1461no—
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#106—731no—
1274#106—731no—
1275#106—731no—
1276#106—731no—
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106—731no—
1282#106C22×D7311yescharacteristic
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8C22×D7311yescharacteristic
1287C4⋊C8C22×D7311yescharacteristic
1288C4⋊C8C22×D7311yescharacteristic
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102C22×D7311yescharacteristic
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8—731no—
1326C22⋊C8—731no—
1327#97—731no—
1328#97—731no—
1329#97—731no—
1330#97—731no—
1331C4×C8—731no—
1332C4×C8—731no—
1333C4×C8—731no—
1334C4×C8C22×D7311yescharacteristic
1335C4×C8C22×D7311yescharacteristic
1336C4×C8C22×D7311yescharacteristic
1337C24—1461no—
1338C24—1461no—
1339#41—2921no—
1340#41—2921no—
1341#41—5842no—
1342#41—1462no—
1343#41—1462no—
1344C2×Q8—2921no—
1345C2×Q8—2921no—
1346C2×Q8—731no—
1347C2×Q8—1461no—
1348C2×Q8—1461no—
1349C2×Q8—1462no—
1350C2×Q8—1462no—
1351C2×Q8—1461no—
1352C2×Q8—1461no—
1353C2×Q8D4×D7311yescharacteristic
1354C2×Q8C23×D7311yescharacteristic
1355C2×Q8C23×D7311yescharacteristic
1356C2×Q8C23×D7311yescharacteristic
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—2921no—
1360C2×D4—2921no—
1361C2×D4—5842no—
1362C2×D4—731no—
1363C2×D4—731no—
1364C2×D4—731no—
1365C2×D4—731no—
1366C2×D4—1461no—
1367C2×D4—1461no—
1368C2×D4—1461no—
1369C2×D4—1462no—
1370C2×D4—1462no—
1371C2×D4—1461no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4C23×D7311yescharacteristic
1379C2×D4C23×D7311yescharacteristic
1380C2×D4C23×D7311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—5842no—
1385C22×C4—731no—
1386C22×C4—731no—
1387C22×C4—731no—
1388C22×C4—731no—
1389C22×C4—731no—
1390C22×C4—1461no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4—1461no—
1404C22×C4—1461no—
1405Q16—41no—
1406Q16—41no—
1407Q16—1462no—
1408SD16—22no—
1409SD16—22no—
1410SD16—22no—
1411SD16—41no—
1412SD16—41no—
1413SD16—734no—
1414SD16—1462no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—41no—
1419D8—41no—
1420D8—1462no—
1421M16—2921no—
1422M16—2921no—
1423C2×C8—2921no—
1424C2×C8—731no—
1425C2×C8—731no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—1462no—
1429C2×C8—1462no—
1430C2×C8—1462no—
1431C2×C8C23×D7311yescharacteristic
1432C2×C8C23×D7311yescharacteristic
1433C2×C8C23×D7311yescharacteristic
1434C2×C8C23×D7311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—731no—
1441C4⋊C4—731no—
1442C4⋊C4—731no—
1443C4⋊C4—731no—
1444C4⋊C4—731no—
1445C4⋊C4—731no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
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⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4D4×D7311yescharacteristic
1481C4⋊C4D4×D7311yescharacteristic
1482C4⋊C4D4×D7311yescharacteristic
1483C4⋊C4C23×D7311yescharacteristic
1484C4⋊C4C23×D7311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—731no—
1497C22⋊C4—731no—
1498C22⋊C4—731no—
1499C22⋊C4—731no—
1500C22⋊C4—731no—
1501C22⋊C4—731no—
1502C22⋊C4—731no—
1503C22⋊C4—731no—
1504C22⋊C4—731no—
1505C22⋊C4—731no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—1461no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42C23×D7311yescharacteristic
1543C42C23×D7311yescharacteristic
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—2922no—
1549C23—2922no—
1550C23—2922no—
1551C23—5841no—
1552C23—5841no—
1553C23—5841no—
1554C23—731no—
1555C23—731no—
1556C23—731no—
1557C23—1461no—
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—41no—
1565Q8—2922no—
1566Q8—2922no—
1567Q8—5841no—
1568Q8—5841no—
1569Q8—732no—
1570Q8—1461no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—81no—
1578D4—81no—
1579D4—2921no—
1580D4—2922no—
1581D4—2922no—
1582D4—2922no—
1583D4—2922no—
1584D4—2922no—
1585D4—2922no—
1586D4—5841no—
1587D4—5841no—
1588D4—5841no—
1589D4—5841no—
1590D4—732no—
1591D4—1462no—
1592D4—1462no—
1593D4—1461no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—2921no—
1603C2×C4—2922no—
1604C2×C4—2922no—
1605C2×C4—2922no—
1606C2×C4—2922no—
1607C2×C4—2922no—
1608C2×C4—5841no—
1609C2×C4—5841no—
1610C2×C4—5841no—
1611C2×C4—5841no—
1612C2×C4—5841no—
1613C2×C4—5841no—
1614C2×C4—5841no—
1615C2×C4—5841no—
1616C2×C4—5841no—
1617C2×C4—5841no—
1618C2×C4—731no—
1619C2×C4—731no—
1620C2×C4—731no—
1621C2×C4—731no—
1622C2×C4—731no—
1623C2×C4—1462no—
1624C2×C4—1461no—
1625C2×C4—1461no—
1626C2×C4—1461no—
1627C2×C4—1461no—
1628C2×C4—1461no—
1629C2×C4—1461no—
1630C2×C4—1461no—
1631C2×C4—1461no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4C2×D4×D7311yescharacteristic
1638C2×C4C2×D4×D7311yescharacteristic
1639C2×C4C2×D4×D7311yescharacteristic
1640C2×C4C2×D4×D7311yescharacteristic
1641C2×C4C2×D4×D7311yescharacteristic
1642C2×C4C2×D4×D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—1461no—
1648C8—1461no—
1649C8—1461no—
1650C8—1461no—
1651C8#41×D7312yes—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—2921no—
1662C22—2921no—
1663C22—5844no—
1664C22—732no—
1665C22—11682no—
1666C22—1461no—
1667C22—1461no—
1668C22—1461no—
1669C22—1461no—
1670C22—1461no—
1671C22—1462no—
1672C22—1461no—
1673C22—1461no—
1674C22—1461no—
1675C22C22×D4×D7311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—2921no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—2921no—
1692C4—2921no—
1693C4—1461no—
1694C4—1461no—
1695C4—1461no—
1696C4—1462no—
1697C4—1461no—
1698C4—1461no—
1699C4C2×#41×D7311yescharacteristic
1700C4#1798942211yescharacteristic
1701C2—81no—
1702C2—81no—
1703C2—81no—
1704C2—2922no—
1705C2—2921no—
1706C2—2921no—
1707C2—1462no—
1708C2#2262342111yescharacteristic
1709C2#577×D7311yescharacteristic
1710C2#2262470011yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3394C2
socleC22×C73C23×D4
hypercenter#3394D73
hypocenterC73#61472
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3394

Complements

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

NH ≅ G/Ntype
1. #22623919C2semidirect
2. #22623870C2semidirect
3. #22622808C2semidirect
4. #22622752C2semidirect
5. #22622693C2semidirect
6. #22622315C2semidirect
7. #22622315C2semidirect
8. #22622290C2semidirect
9. #22622191C2semidirect
10. #22622154C2semidirect
11. #22622079C2semidirect
12. #22622019C2semidirect
13. #22621989C2semidirect
14. #22621929C2semidirect
15. #22621637C2semidirect
16. #22621637C2semidirect
17. #22621626C2semidirect
18. #22620556C2semidirect
19. #22620545C2semidirect
20. #22620498C2semidirect
21. #22620159C2semidirect
22. #22620144C2semidirect
23. #22620127C2semidirect
24. #22620112C2semidirect
25. #22620101C2semidirect
26. #22620068C2semidirect
27. #22618908C2semidirect
28. #22618809C2semidirect
29. #22618785C2semidirect
30. C4×SD16×D73C2semidirect
31. C73×#3394C2semidirect
35. #17989315C22semidirect
38. #17989297C22semidirect
45. #17989278C22semidirect
50. #17989245C22semidirect
51. #17989245C22semidirect
59. #17989206C22semidirect
60. #17989198C22semidirect
68. #17989116C22semidirect
73. #17989066C22semidirect
74. #17989063C22semidirect
76. C4×Q8×D73C22semidirect
78. #17988989C22semidirect
79. #17988989C22semidirect
80. #17988985C22semidirect
81. #17988955C22semidirect
83. #17988946C22semidirect
84. #17988946C22semidirect
85. #17988941C22semidirect
86. #17988941C22semidirect
87. #17988927C22semidirect
88. #17988927C22semidirect
89. #17988921C22semidirect
90. #17988921C22semidirect
91. #17988916C22semidirect
92. #17988916C22semidirect
94. #17988909C22semidirect
96. #17988904C22semidirect
97. #17988899C22semidirect
98. #17988899C22semidirect
99. #17988895C22semidirect
100. #17988895C22semidirect
101. #17988894C22semidirect
102. #17988894C22semidirect
105. #17988887C22semidirect
106. #17988887C22semidirect
107. #17988883C22semidirect
108. #17988877C22semidirect
109. #17988872C22semidirect
111. #17988842C22semidirect
113. #17988830C22semidirect
114. #17988830C22semidirect
115. #17988825C22semidirect
119. #17988813C22semidirect
120. #17988813C22semidirect
121. #17988813C22semidirect
122. #17988813C22semidirect
123. #17988806C22semidirect
124. #17988806C22semidirect
131. #17988741C22semidirect
132. #17988741C22semidirect
135. #17988729C22semidirect
136. #17988729C22semidirect
141. #17988718C22semidirect
142. #17988699C22semidirect
145. #17988694C22semidirect
146. #17988692C22semidirect
147. #17988691C22semidirect
149. #17988688C22semidirect
150. #17988688C22semidirect
151. #17988687C22semidirect
153. #17988684C22semidirect
154. Q16×Dic73C22semidirect
155. #17988678C22semidirect
159. SD16×Dic73C22semidirect
160. SD16×Dic73C22semidirect
161. SD16×Dic73C22semidirect
164. C4×#11924016C22semidirect
166. D8×Dic73C22semidirect
167. #17988664C22semidirect
169. #17988657C22semidirect
171. C8×D292C22semidirect
172. C8×D292C22semidirect
173. #17988647C22semidirect
174. #17988647C22semidirect
175. #17988643C22semidirect
176. #17988622C22semidirect
177. #106×D73C22semidirect
178. #106×D73C22semidirect
179. #17988594C22semidirect
182. #17988585C22semidirect
183. #103×D73C22semidirect
185. #17988541C22semidirect
186. #17988541C22semidirect
187. C4×C8×D73C22semidirect
189. #556×C73C22semidirect
190. #495×C73C22semidirect
191. #495×C73C22semidirect
193. #464×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #463×C73C22semidirect
197. #462×C73C22semidirect
199. C8×Q8×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. C4×SD16×C73C22semidirect
538. #11924017#41semidirect
858. #3394D73semidirect
887. C73#61472semidirect
894. #556C2×D73semidirect
939. #495C2×D73semidirect
940. #495C2×D73semidirect
986. #464C2×D73semidirect
987. #464C2×D73semidirect
990. #463C2×D73semidirect
991. #463C2×D73semidirect
992. #462C2×D73semidirect
1009. C8×Q8C2×D73semidirect
1034. C4×SD16C2×D73semidirect
1035. C4×SD16C2×D73semidirect
1036. C4×SD16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239192
#226238702
#226228082
#226227522
#226226932
#226223152
#226222902
#226221912
#226221542
#226220792
#226220192
#226219892
#226219292
#226216372
#226216262
#226205562
#226205452
#226204982
#226201592
#226201442
#226201272
#226201122
#226201012
#226200682
#226189082
#226188092
#226187852
C4×SD16×D732
C73×#33942
#6147273