Finite Group Databasebeta

← #14244254

Subgroups — #14244254

Order 1792.

1680 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11744065C211yesmaximal, characteristic, complemented
2#11743829C211yesmaximal, characteristic, complemented
3C7×#3367C211yesmaximal, characteristic, complemented
4#11741114C211yesmaximal, characteristic, complemented
5#11741009C211yesmaximal, characteristic, complemented
6#11739140C211yesmaximal, characteristic, complemented
7#11739137C211yesmaximal, characteristic, complemented
8#11739119C211yesmaximal, characteristic, complemented
9#11739117C211yesmaximal, characteristic, complemented
10#11739066C211yesmaximal, characteristic, complemented
11#11739056C211yesmaximal, characteristic, complemented
12#11738581C211yesmaximal, characteristic, complemented
13#11738562C211yesmaximal, characteristic, complemented
14#11738558C211yesmaximal, characteristic, complemented
15#11738548C211yesmaximal, characteristic, complemented
16#11738418C211yesmaximal, characteristic, complemented
17#11738407C211yesmaximal, characteristic, complemented
18#11737965C211yesmaximal, characteristic, complemented
19#11737962C211yesmaximal, characteristic, complemented
20#11737953C211yesmaximal, characteristic, complemented
21#11737950C211yesmaximal, characteristic, complemented
22#11737864C211yesmaximal, characteristic, complemented
23#11737858C211yesmaximal, characteristic, complemented
24#11737424C211yesmaximal, characteristic, complemented
25#11737411C211yesmaximal, characteristic, complemented
26#11737230C211yesmaximal, characteristic, complemented
27#11737227C211yesmaximal, characteristic, complemented
28#11737207C211yesmaximal, characteristic, complemented
29#11737206C211yesmaximal, characteristic, complemented
30#11737041C211yesmaximal, characteristic
31#11737020C211yesmaximal, characteristic, complemented
32C7×#556C2211yescharacteristic, complemented
33C7×D4×Q8C2211yescharacteristic
34Q8×C22⋊D7—21no—
35C2×#6509—21no—
36#90423C2211yescharacteristic, complemented
37#90422C2211yescharacteristic
38#90421C2211yescharacteristic
39#90421C2211yescharacteristic
40#90420C2211yescharacteristic
41#90420C2211yescharacteristic
42#90419C2211yescharacteristic
43#90418C2211yescharacteristic
44#90403—21no—
45#90401—21no—
46#90399—21no—
47#90398—21no—
48#90373C2211yescharacteristic
49#90372C2211yescharacteristic, complemented
50#90372C2211yescharacteristic, complemented
51#90371C2211yescharacteristic
52#90337—21no—
53#90336—21no—
54#90327—21no—
55#90327—21no—
56#90326—21no—
57#90325—21no—
58#90325—21no—
59D7×C22⋊Q8—21no—
60#90273C2211yescharacteristic
61#90271C2211yescharacteristic
62#90270C2211yescharacteristic
63#90270C2211yescharacteristic, complemented
64#90269C2211yescharacteristic
65#90261C2211yescharacteristic, complemented
66#90260C2211yescharacteristic, complemented
67#90253C2211yescharacteristic
68#90236C2211yescharacteristic
69#90236C2211yescharacteristic
70C4×D4×D7C2211yescharacteristic
71#90234C2211yescharacteristic
72#90230C2211yescharacteristic
73#90230C2211yescharacteristic
74#90230C2211yescharacteristic, complemented
75#90225—21no—
76#90222—21no—
77C7×#489C2211yescharacteristic, complemented
78C7×#489C2211yescharacteristic, complemented
79C7×#487C2211yescharacteristic, complemented
80C7×#477C2211yescharacteristic, complemented
81C7×#477C2211yescharacteristic, complemented
82C7×#474C2211yescharacteristic, complemented
83C7×#463C2211yescharacteristic
84C7×#463C2211yescharacteristic
85C7×#461C2211yescharacteristic
86C7×#446C2211yescharacteristic, complemented
87C7×#440C2211yescharacteristic
88C7×#440C2211yescharacteristic
89C4×C7×D8C2211yescharacteristic
90#89941C2211yescharacteristic
91#89941C2211yescharacteristic
92#89937C2211yescharacteristic
93#89937C2211yescharacteristic
94#89936C2211yescharacteristic
95#89936C2211yescharacteristic
96SD16×Dic7C2211yescharacteristic
97SD16×Dic7C2211yescharacteristic
98#89928C2211yescharacteristic
99#89922C2211yescharacteristic
100D8×Dic7C2211yescharacteristic
101D8×Dic7C2211yescharacteristic
102#89859C2211yescharacteristic, complemented
103#89856C2211yescharacteristic, complemented
104#89856C2211yescharacteristic, complemented
105#89855C2211yescharacteristic
106#89854C2211yescharacteristic, complemented
107#89852C2211yescharacteristic, complemented
108#89852C2211yescharacteristic, complemented
109#89851C2211yescharacteristic, complemented
110#89829C2211yescharacteristic
111#89829C2211yescharacteristic
112#89828C2211yescharacteristic, complemented
113#89827C2211yescharacteristic, complemented
114#89798C2211yescharacteristic
115C4×#1143C2211yescharacteristic
116#89796C2211yescharacteristic, complemented
117#89794C2211yescharacteristic, complemented
118#89792C2211yescharacteristic, complemented
119#89786C2211yescharacteristic
120#89786C2211yescharacteristic
121#89786C2211yescharacteristic
122C4×#1141C2211yescharacteristic
123#89781C2211yescharacteristic
124#89781C2211yescharacteristic
125#89781C2211yescharacteristic, complemented
126#89780C2211yescharacteristic
127#89663C2211yescharacteristic
128#89663C2211yescharacteristic
129#89662C2211yescharacteristic
130#89657C2211yescharacteristic
131#89657C2211yescharacteristic
132#89654C2211yescharacteristic
133#89650C2211yescharacteristic, complemented
134#89650C2211yescharacteristic, complemented
135#89650C2211yescharacteristic, complemented
136#89648C2211yescharacteristic, complemented
137#89648C2211yescharacteristic, complemented
138#89646C2211yescharacteristic, complemented
139#89619C2211yescharacteristic
140#89619C2211yescharacteristic
141#89619C2211yescharacteristic, complemented
142#89619C2211yescharacteristic, complemented
143#89618C2211yescharacteristic
144#89618C2211yescharacteristic, complemented
145#89612C2211yescharacteristic
146#89612C2211yescharacteristic
147#89605C2211yescharacteristic
148#89602C2211yescharacteristic, complemented
149#89600C2211yescharacteristic, complemented
150#89600C2211yescharacteristic, complemented
151#89591C2211yescharacteristic
152#89591C2211yescharacteristic
153#89589C2211yescharacteristic
154#89587C2211yescharacteristic
155#89587C2211yescharacteristic
156#89586C2211yescharacteristic
157#89586C2211yescharacteristic
158#89581C2211yescharacteristic
159#89577C2211yescharacteristic
160#89572C2211yescharacteristic, complemented
161#89572C2211yescharacteristic, complemented
162#89572C2211yescharacteristic, complemented
163#89571C2211yescharacteristic, complemented
164#89568C2211yescharacteristic, complemented
165#89568C2211yescharacteristic, complemented
166#89568C2211yescharacteristic, complemented
167#89568C2211yescharacteristic, complemented
168#89567C2211yescharacteristic, complemented
169#89566C2211yescharacteristic, complemented
170#89563C2211yescharacteristic, complemented
171#89563C2211yescharacteristic, complemented
172#89560C2211yescharacteristic
173#89560C2211yescharacteristic
174#89560C2211yescharacteristic
175#89558C2211yescharacteristic
176#89557C2211yescharacteristic
177#89556C2211yescharacteristic
178#89556C2211yescharacteristic
179#89549C2211yescharacteristic
180#89545C2211yescharacteristic
181#89538C2211yescharacteristic
182#89538C2211yescharacteristic, complemented
183#89536C2211yescharacteristic, complemented
184#89535C2211yescharacteristic
185#89535C2211yescharacteristic, complemented
186#89535C2211yescharacteristic, complemented
187#89533C2211yescharacteristic
188#89533C2211yescharacteristic, complemented
189#89532C2211yescharacteristic, complemented
190#89528C2211yescharacteristic
191#89483C2211yescharacteristic
192#89483C2211yescharacteristic
193#89481C2211yescharacteristic
194#89477C2211yescharacteristic
195#89474C2211yescharacteristic, complemented
196#89474C2211yescharacteristic, complemented
197#89473C2211yescharacteristic, complemented
198#89473C2211yescharacteristic, complemented
199C4×D56C2211yescharacteristic
200#89462C2211yescharacteristic
201#89455C2211yescharacteristic, complemented
202C8×Dic14C2211yescharacteristic, complemented
203#61855—71nomaximal, Sylow
204C22×C7×Q8—21no—
205C2×Q8×D7—21no—
206C2×D4×D7C2311yescharacteristic
207C22×C4×D7—21no—
208C2×C7×SD16C2311yescharacteristic
209C2×C7×SD16C2311yescharacteristic
210C2×C7×D8C2311yescharacteristic
211C7×C4⋊Q8C2311yescharacteristic
212C7×C4⋊Q8C2311yescharacteristic
213C7×C4⋊Q8C2311yescharacteristic
214C7×C4⋊Q8C2311yescharacteristic
215C7×#126—21no—
216C7×#126—21no—
217C7×#124C2311yescharacteristic
218C7×#124C2311yescharacteristic
219C7×C22⋊Q8—21no—
220C7×C22⋊Q8—21no—
221C7×C22⋊Q8—21no—
222C7×C22⋊Q8—21no—
223C4×C7×Q8C2311yescharacteristic
224C4×C7×Q8C2311yescharacteristic
225C4×C7×Q8C2311yescharacteristic
226C4×C7×D4C2311yescharacteristic
227C4×C7×D4C2311yescharacteristic
228C4×C7×D4C2311yescharacteristic
229C4×C7×D4C2311yescharacteristic
230C7×#117—21no—
231#6510C2311yescharacteristic
232#6510C2311yescharacteristic
233#6509—21no—
234#6509—21no—
235#6509—21no—
236#6509—21no—
237#6509—21no—
238#6509—21no—
239#6509—21no—
240#6509—21no—
241#6509—21no—
242#6509—21no—
243#6509D411yescharacteristic
244#6509C2311yescharacteristic
245#6509C2311yescharacteristic
246Q8×Dic7—21no—
247Q8×Dic7C2311yescharacteristic
248Q8×Dic7C2311yescharacteristic
249Q8×Dic7C2311yescharacteristic
250Q8×Dic7C2311yescharacteristic
251#6507—21no—
252#6507—21no—
253#6507D411yescharacteristic
254C2×#1143C2311yescharacteristic
255C2×#1143C2311yescharacteristic
256#6503C2311yescharacteristic
257#6501C2311yescharacteristic
258D4×Dic7C2311yescharacteristic
259D4×Dic7C2311yescharacteristic
260D4×Dic7C2311yescharacteristic
261D4×Dic7C2311yescharacteristic
262D4×Dic7C2311yescharacteristic
263C2×#1141C2311yescharacteristic
264C2×#1141C2311yescharacteristic
265#6493—21no—
266#6492—21no—
267C4×C22⋊D7—21no—
268C4×C22⋊D7—21no—
269C4×C22⋊D7—21no—
270C2×(C2×D7)⋊C4—21no—
271C2×(C2×D7)⋊C4—21no—
272C2×C4⋊Dic7—21no—
273#6487—21no—
274#6487—21no—
275#6487—21no—
276#6487—21no—
277C2×Dic7⋊C4—21no—
278C2×Dic7⋊C4—21no—
279C2×Dic7⋊C4—21no—
280C2×D56C2311yescharacteristic
281#6461—21no—
282#6461—21no—
283#6461—21no—
284#6461—21no—
285#6461—21no—
286#6460—21no—
287#6460—21no—
288#6460—21no—
289#6460—21no—
290#6460D411yescharacteristic
291#6459—21no—
292#6459—21no—
293#6459—21no—
294#6459—21no—
295#6459—21no—
296#6459—21no—
297#6459—21no—
298#6459—21no—
299#6459—21no—
300#6459D411yescharacteristic
301#6459D411yescharacteristic
302#6458C2311yescharacteristic
303#6457—21no—
304#6457—21no—
305#6456C2311yescharacteristic
306#6456C2311yescharacteristic
307#6456C2311yescharacteristic
308#6455—21no—
309#6455C2311yescharacteristic
310#6455C2311yescharacteristic
311D7×C4⋊C4—21no—
312D7×C4⋊C4—21no—
313D7×C4⋊C4—21no—
314D7×C4⋊C4—21no—
315D7×C4⋊C4C2311yescharacteristic
316#6453—21no—
317#6453—21no—
318#6453—21no—
319#6453C2311yescharacteristic
320#6453C2311yescharacteristic
321#6453C2311yescharacteristic
322#6453C2311yescharacteristic
323#6453C2311yescharacteristic
324#6453C2311yescharacteristic
325#6452—21no—
326#6452—21no—
327#6452—21no—
328#6452—21no—
329#6452D411yescharacteristic
330#6452D411yescharacteristic
331#6451—21no—
332#6451D411yescharacteristic
333#6451C2311yescharacteristic
334#6451C2311yescharacteristic
335#6451C2311yescharacteristic
336#6450—21no—
337#6449—21no—
338#6449—21no—
339#6449—21no—
340#6448—21no—
341#6448—21no—
342#6448—21no—
343#6447—21no—
344#6446—21no—
345#6446—21no—
346#6446—21no—
347#6446—21no—
348(C22⋊D7)⋊C4—21no—
349(C22⋊D7)⋊C4—21no—
350(C22⋊D7)⋊C4—21no—
351(C22⋊D7)⋊C4—21no—
352(C22⋊D7)⋊C4—21no—
353(C22⋊D7)⋊C4—21no—
354D7×C22⋊C4—21no—
355D7×C22⋊C4—21no—
356D7×C22⋊C4—21no—
357#6442—21no—
358#6442—21no—
359#6441—21no—
360#6441—21no—
361#6441—21no—
362#6441—21no—
363#6441—21no—
364#6441—21no—
365#6441—21no—
366#6441—21no—
367#6441—21no—
368#6440—21no—
369#6439—21no—
370#6438—21no—
371C4×D28—21no—
372C4×D28C2311yescharacteristic
373C4×D28C2311yescharacteristic
374C4×D28C2311yescharacteristic
375C4×D28C2311yescharacteristic
376C4×D28C2311yescharacteristic
377C4×D28C2311yescharacteristic
378#6435—21no—
379#6435C2311yescharacteristic
380#6435C2311yescharacteristic
381C42×D7C2311yescharacteristic
382#6433—21no—
383#6433C2311yescharacteristic
384#6433C2311yescharacteristic
385#6433C2311yescharacteristic
386#6433C2311yescharacteristic
387#6432—21no—
388#6432C2311yescharacteristic
389#6432C2311yescharacteristic
390C4×Dic14—21no—
391C4×Dic14—21no—
392C4×Dic14C2311yescharacteristic
393C4×Dic14C2311yescharacteristic
394C4×Dic14C2311yescharacteristic
395C7×#107C2311yescharacteristic
396C7×#107C2311yescharacteristic
397C7×#107C2311yescharacteristic
398C7×C4⋊C8C2311yescharacteristic
399C7×C4⋊C8C2311yescharacteristic
400C7×C4⋊C8C2311yescharacteristic
401C7×#103C2311yescharacteristic
402C7×#103C2311yescharacteristic
403C7×#103C2311yescharacteristic
404C7×#103C2311yescharacteristic
405C7×#103C2311yescharacteristic
406C7×#103C2311yescharacteristic
407C7×#102C2311yescharacteristic
408C7×#102C2311yescharacteristic
409C7×#102C2311yescharacteristic
410C7×#102C2311yescharacteristic
411C7×#97C2311yescharacteristic
412C7×#97C2311yescharacteristic
413C4×C7×C8C2311yescharacteristic
414#6409C2311yescharacteristic
415#6409C2311yescharacteristic
416#6409C2311yescharacteristic
417#6409C2311yescharacteristic
418#6409C2311yescharacteristic
419#6409C2311yescharacteristic
420#6406C2311yescharacteristic
421#6406C2311yescharacteristic
422#6406C2311yescharacteristic
423#6406C2311yescharacteristic
424#6406C2311yescharacteristic
425#6406C2311yescharacteristic
426#6395C2311yescharacteristic
427#6395C2311yescharacteristic
428#6395C2311yescharacteristic
429#6395C2311yescharacteristic
430#6395C2311yescharacteristic
431#6395C2311yescharacteristic
432(C2×D7)⋊C8C2311yescharacteristic
433(C2×D7)⋊C8C2311yescharacteristic
434(C2×D7)⋊C8C2311yescharacteristic
435(C2×D7)⋊C8C2311yescharacteristic
436#6392C2311yescharacteristic
437#6392C2311yescharacteristic
438#6392C2311yescharacteristic
439#6392C2311yescharacteristic
440#6392C2311yescharacteristic
441#6391C2311yescharacteristic
442#6391C2311yescharacteristic
443#6391C2311yescharacteristic
444#6391C2311yescharacteristic
445#6389C2311yescharacteristic
446#6389C2311yescharacteristic
447Dic7⋊C8C2311yescharacteristic
448Dic7⋊C8C2311yescharacteristic
449Dic7⋊C8C2311yescharacteristic
450Dic7⋊C8C2311yescharacteristic
451Dic7⋊C8C2311yescharacteristic
452Dic7⋊C8C2311yescharacteristic
453C8×Dic7C2311yescharacteristic
454C8×Dic7C2311yescharacteristic
455C8×Dic7C2311yescharacteristic
456C8×Dic7C2311yescharacteristic
457#6383C2311yescharacteristic
458#6383C2311yescharacteristic
459#6383C2311yescharacteristic
460#6383C2311yescharacteristic
461#6382C2311yescharacteristic
462#6382C2311yescharacteristic
463#6382C2311yescharacteristic
464#6382C2311yescharacteristic
465#6382C2311yescharacteristic
466#6382C2311yescharacteristic
467#6382C2311yescharacteristic
468#6382C2311yescharacteristic
469#6381C2311yescharacteristic
470#6381C2311yescharacteristic
471#6381C2311yescharacteristic
472#6381C2311yescharacteristic
473C4⋊(C7⋊C8)C2311yescharacteristic
474C4⋊(C7⋊C8)C2311yescharacteristic
475C4⋊(C7⋊C8)C2311yescharacteristic
476#6377C2311yescharacteristic
477#6377C2311yescharacteristic
478C4×C7⋊C8C2311yescharacteristic
479#3557—71no—
480#3501—71no—
481#3389—71no—
482#3389—71no—
483#3388—71no—
484#3388—71no—
485#3386—71no—
486#3384—71no—
487#3381—71no—
488#3380—71no—
489#3376—71no—
490#3376—71no—
491#3373—71no—
492#3370—71no—
493#3370—71no—
494#3367D711yescharacteristic, complemented
495#3361—71no—
496#3360—71no—
497#3244—71no—
498#3243—71no—
499#3242—71no—
500#3241—71no—
501#3240—71no—
502#3233—71no—
503#3123—71no—
504#3122—71no—
505#3118—71no—
506#3118—71no—
507#3114—71no—
508#3105—71no—
509#2985—71no—
510C23×D7—21no—
511C2×C7×Q8—21no—
512C2×C7×Q8—21no—
513C2×C7×Q8—21no—
514C2×C7×Q8—82no—
515C2×C7×Q8C2×D411yescharacteristic
516C2×C7×Q8C2411yescharacteristic
517C2×C7×Q8C2411yescharacteristic
518C2×C7×D4C2411yescharacteristic
519C2×C7×D4C2411yescharacteristic
520C22×C4×C7—21no—
521C22×C4×C7—21no—
522C22×C4×C7—21no—
523C22×C4×C7—21no—
524C2×C22⋊D7—21no—
525C2×C22⋊D7—21no—
526C2×C22⋊D7—21no—
527C2×C22⋊D7—21no—
528C22×Dic7—21no—
529C22×Dic7—21no—
530C22×Dic7—21no—
531C22×Dic7—21no—
532C22×Dic7—21no—
533Q8×D7—82no—
534D4×D7—22no—
535D4×D7—22no—
536C2×D28—21no—
537C2×D28C2411yescharacteristic
538C2×D28C2411yescharacteristic
539C2×C4×D7—21no—
540C2×C4×D7—21no—
541C2×C4×D7—21no—
542C2×C4×D7—21no—
543C2×C4×D7—21no—
544C2×C4×D7—21no—
545C2×C4×D7—21no—
546C2×C4×D7—21no—
547C2×C4×D7—21no—
548C2×C4×D7—21no—
549C2×C4×D7—82no—
550C2×C4×D7C2×D411yescharacteristic
551C2×C4×D7C2×D411yescharacteristic
552C2×C4×D7C2411yescharacteristic
553C2×Dic14—21no—
554C2×Dic14—21no—
555C2×Dic14—21no—
556C2×Dic14—21no—
557C2×Dic14—21no—
558C2×Dic14C2×D411yescharacteristic
559C2×Dic14C2×D411yescharacteristic
560C2×Dic14C2×D411yescharacteristic
561C7×SD16—22no—
562C7×SD16—22no—
563C7×D8—22no—
564C2×C7×C8C2411yescharacteristic
565C2×C7×C8C2411yescharacteristic
566C2×C7×C8C2411yescharacteristic
567C2×C7×C8C2411yescharacteristic
568C7×C4⋊C4—21no—
569C7×C4⋊C4—21no—
570C7×C4⋊C4—21no—
571C7×C4⋊C4—21no—
572C7×C4⋊C4—21no—
573C7×C4⋊C4—21no—
574C7×C4⋊C4—21no—
575C7×C4⋊C4C2×D411yescharacteristic
576C7×C4⋊C4C2×D411yescharacteristic
577C7×C4⋊C4C2×D411yescharacteristic
578C7×C4⋊C4C2411yescharacteristic
579C7×C4⋊C4C2411yescharacteristic
580C7×C4⋊C4C2411yescharacteristic
581C7×C4⋊C4C2411yescharacteristic
582C7×C22⋊C4—21no—
583C7×C22⋊C4—21no—
584C7×C22⋊C4—21no—
585C7×C22⋊C4—21no—
586C7×C22⋊C4—21no—
587C7×C22⋊C4—21no—
588C7×C22⋊C4—21no—
589C7×C22⋊C4—21no—
590C42×C7—21no—
591C42×C7—21no—
592C42×C7C2411yescharacteristic
593C42×C7C2411yescharacteristic
594C42×C7C2411yescharacteristic
595C22⋊Dic7—21no—
596C22⋊Dic7—21no—
597C22⋊Dic7—21no—
598C22⋊Dic7—21no—
599C22⋊Dic7—21no—
600C22⋊Dic7—21no—
601#1143—22no—
602#1143—22no—
603#1141—22no—
604#1141—22no—
605(C2×D7)⋊C4—21no—
606(C2×D7)⋊C4—21no—
607(C2×D7)⋊C4—21no—
608(C2×D7)⋊C4—21no—
609(C2×D7)⋊C4—21no—
610(C2×D7)⋊C4—21no—
611(C2×D7)⋊C4—21no—
612(C2×D7)⋊C4—21no—
613(C2×D7)⋊C4—21no—
614(C2×D7)⋊C4—21no—
615(C2×D7)⋊C4—21no—
616(C2×D7)⋊C4—21no—
617(C2×D7)⋊C4—21no—
618(C2×D7)⋊C4—21no—
619(C2×D7)⋊C4—21no—
620(C2×D7)⋊C4—21no—
621(C2×D7)⋊C4—21no—
622(C2×D7)⋊C4—21no—
623(C2×D7)⋊C4C2×D411yescharacteristic
624(C2×D7)⋊C4C2×D411yescharacteristic
625(C2×D7)⋊C4C2×D411yescharacteristic
626(C2×D7)⋊C4C2×D411yescharacteristic
627C4⋊Dic7—21no—
628C4⋊Dic7—21no—
629C4⋊Dic7—21no—
630C4⋊Dic7—21no—
631C4⋊Dic7—21no—
632C4⋊Dic7—21no—
633C4⋊Dic7—21no—
634C4⋊Dic7—21no—
635C4⋊Dic7—21no—
636C4⋊Dic7—21no—
637C4⋊Dic7—21no—
638C4⋊Dic7—21no—
639C4⋊Dic7C2×D411yescharacteristic
640C4⋊Dic7C2×D411yescharacteristic
641C4⋊Dic7C2×D411yescharacteristic
642C4⋊Dic7C2411yescharacteristic
643C4⋊Dic7C2411yescharacteristic
644C4⋊Dic7C2411yescharacteristic
645C4⋊Dic7C2411yescharacteristic
646C4⋊Dic7C2411yescharacteristic
647C4⋊Dic7C2411yescharacteristic
648Dic7⋊C4—21no—
649Dic7⋊C4—21no—
650Dic7⋊C4—21no—
651Dic7⋊C4—21no—
652Dic7⋊C4—21no—
653Dic7⋊C4—21no—
654Dic7⋊C4—21no—
655Dic7⋊C4—21no—
656Dic7⋊C4—21no—
657Dic7⋊C4—21no—
658Dic7⋊C4—21no—
659Dic7⋊C4—21no—
660Dic7⋊C4—21no—
661Dic7⋊C4—21no—
662Dic7⋊C4—21no—
663Dic7⋊C4—21no—
664Dic7⋊C4—21no—
665Dic7⋊C4—21no—
666Dic7⋊C4—21no—
667Dic7⋊C4—21no—
668Dic7⋊C4C2×D411yescharacteristic
669Dic7⋊C4C2×D411yescharacteristic
670Dic7⋊C4C2×D411yescharacteristic
671Dic7⋊C4C2×D411yescharacteristic
672Dic7⋊C4C2×D411yescharacteristic
673Dic7⋊C4C2×D411yescharacteristic
674Dic7⋊C4C2×D411yescharacteristic
675Dic7⋊C4C2×D411yescharacteristic
676Dic7⋊C4C2×D411yescharacteristic
677Dic7⋊C4C2×D411yescharacteristic
678C4×Dic7—21no—
679C4×Dic7—21no—
680C4×Dic7—21no—
681C4×Dic7—21no—
682C4×Dic7—21no—
683C4×Dic7—21no—
684C4×Dic7C2×D411yescharacteristic
685C4×Dic7C2×D411yescharacteristic
686C4×Dic7C2411yescharacteristic
687C4×Dic7C2411yescharacteristic
688C4×Dic7C2411yescharacteristic
689C2×C7⋊C8C2411yescharacteristic
690C2×C7⋊C8C2411yescharacteristic
691C2×C7⋊C8C2411yescharacteristic
692C2×C7⋊C8C2411yescharacteristic
693D56—22no—
694#563—141no—
695#563—141no—
696#559—71no—
697#559—71no—
698#557—71no—
699#557—71no—
700#556—71no—
701#556C2×D711yescharacteristic, complemented
702#554—71no—
703#554—71no—
704#554—71no—
705#554—71no—
706#554—71no—
707#554—71no—
708#554—71no—
709#554—71no—
710#554—141no—
711#554—141no—
712#554—141no—
713#552—141no—
714#552—141no—
715D4×Q8—71no—
716D4×Q8—141no—
717D4×Q8C2×D711yescharacteristic
718#544—71no—
719#544—71no—
720#543—141no—
721#543—141no—
722#542—71no—
723#542—71no—
724#542—141no—
725#542—141no—
726#541—71no—
727#540—71no—
728#539—141no—
729#539—141no—
730#533—71no—
731#533—71no—
732#529—71no—
733#529—71no—
734C2×C22⋊Q8—141no—
735C2×C22⋊Q8—141no—
736#518—71no—
737#518—71no—
738C2×C4×D4—71no—
739#501—71no—
740#501—71no—
741#501—71no—
742#501—71no—
743#501—71no—
744#501—71no—
745#500—71no—
746#499—71no—
747#499—71no—
748#499—71no—
749#499—71no—
750#498—71no—
751#491—71no—
752#490—71no—
753#489—71no—
754#489—71no—
755#489C2×D711yescharacteristic, complemented
756#489C2×D711yescharacteristic, complemented
757#488—71no—
758#488—71no—
759#488—71no—
760#488—71no—
761#487C2×D711yescharacteristic, complemented
762#486—71no—
763#485—71no—
764#485—71no—
765#485—71no—
766#485—71no—
767#484—71no—
768#483—71no—
769#482—71no—
770#482—71no—
771#482—71no—
772#482—71no—
773#481—71no—
774#480—71no—
775#479—71no—
776#479—71no—
777#479—71no—
778#479—71no—
779#479—71no—
780#479—71no—
781#478—71no—
782#478—71no—
783#478—71no—
784#478—71no—
785#478—71no—
786#478—71no—
787#478—71no—
788#478—71no—
789#478—71no—
790#478—71no—
791#478—71no—
792#478—71no—
793#478—71no—
794#478—71no—
795#477—71no—
796#477C2×D711yescharacteristic, complemented
797#477C2×D711yescharacteristic, complemented
798#476—71no—
799#476—71no—
800#476—71no—
801#476—71no—
802#476—71no—
803#475—71no—
804#475—71no—
805#475—71no—
806#474—71no—
807#474—71no—
808#474—71no—
809#474—71no—
810#474C2×D711yescharacteristic, complemented
811#463—71no—
812#463—71no—
813#463—71no—
814#463—71no—
815#463—71no—
816#463—71no—
817#463C2×D711yescharacteristic
818#463C2×D711yescharacteristic
819#461—71no—
820#461C2×D711yescharacteristic
821#459—71no—
822#459—71no—
823#450—71no—
824#450—71no—
825#447—71no—
826#447—71no—
827#446—71no—
828#446—71no—
829#446—71no—
830#446—71no—
831#446—71no—
832#446C2×D711yescharacteristic, complemented
833C8×Q8—71no—
834C8×Q8—71no—
835#442—71no—
836#442—71no—
837#442—71no—
838#442—71no—
839#442—71no—
840#442—71no—
841#440—71no—
842#440—71no—
843#440—71no—
844#440—71no—
845#440C2×D711yescharacteristic
846#440C2×D711yescharacteristic
847C4×SD16—71no—
848C4×SD16—71no—
849C4×SD16—71no—
850C4×SD16—71no—
851C4×SD16—71no—
852C4×SD16—71no—
853C4×D8—71no—
854C4×D8—71no—
855C4×D8—71no—
856C4×D8—71no—
857C4×D8—71no—
858C4×D8C2×D711yescharacteristic
859#433—71no—
860#433—71no—
861#433—71no—
862#433—71no—
863#432—71no—
864#431—71no—
865C23×C7—21no—
866C23×C7—21no—
867C22×D7—21no—
868C22×D7—24no—
869C22×D7—21no—
870C22×D7—81no—
871C22×D7—81no—
872C22×D7C22×D411yescharacteristic
873C7×Q8—21no—
874C7×Q8—21no—
875C7×Q8—21no—
876C7×Q8—21no—
877C7×Q8—41no—
878C7×Q8—42no—
879C7×Q8—81no—
880C7×Q8—81no—
881C7×D4—21no—
882C7×D4—21no—
883C7×D4—21no—
884C7×D42−1+412yes—
885C2×C4×C7—21no—
886C2×C4×C7—21no—
887C2×C4×C7—21no—
888C2×C4×C7—21no—
889C2×C4×C7—21no—
890C2×C4×C7—21no—
891C2×C4×C7—42no—
892C2×C4×C7—81no—
893C2×C4×C7—81no—
894C2×C4×C7—81no—
895C2×C4×C7C22×D411yescharacteristic
896C2×C4×C7C22×D411yescharacteristic
897C2×C4×C7C22×D411yescharacteristic
898C2×C4×C7C22×D411yescharacteristic
899C2×C4×C7C22×D411yescharacteristic
900C2×C4×C7C22×D411yescharacteristic
901C2×C4×C7C2511yescharacteristic
902C22⋊D7—24no—
903C22⋊D7—81no—
904C22⋊D7—81no—
905C22⋊D7—81no—
906C2×Dic7—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—81no—
913C2×Dic7—81no—
914C2×Dic7—81no—
915C2×Dic7—81no—
916C2×Dic7—81no—
917C2×Dic7C22×D411yescharacteristic
918C2×Dic7C22×D411yescharacteristic
919C2×Dic7C22×D411yescharacteristic
920C2×Dic7C22×D411yescharacteristic
921C2×Dic7C22×D411yescharacteristic
922C2×Dic7C22×D411yescharacteristic
923C2×Dic7C22×D411yescharacteristic
924D28—21no—
925D28—21no—
926D28—21no—
927D28—81no—
928D282−1+412yes—
929C4×D7—21no—
930C4×D7—21no—
931C4×D7—41no—
932C4×D7—41no—
933C4×D7—42no—
934C4×D7—81no—
935C4×D7—81no—
936C4×D7—81no—
937C4×D7—81no—
938C4×D7—81no—
939C4×D7—81no—
940C4×D7—81no—
941C4×D7—81no—
942C4×D7—81no—
943Dic14—41no—
944Dic14—41no—
945Dic14—41no—
946Dic14—81no—
947Dic14—81no—
948Dic14—81no—
949Dic14—81no—
950Dic14—81no—
951C7×C8—21no—
952C7×C8—21no—
953C7×C8—21no—
954C7×C8—21no—
955C7⋊C8—21no—
956C7⋊C8—21no—
957C7⋊C8—21no—
958C7⋊C8—21no—
959C22×Q8—21no—
960C22×Q8—141no—
961C22×D4—71no—
962C23×C4—141no—
963C2×SD16—71no—
964C2×SD16—71no—
965C2×SD16C22×D711yescharacteristic
966C2×SD16C22×D711yescharacteristic
967C2×D8—71no—
968C2×D8—71no—
969C2×D8—71no—
970C2×D8C22×D711yescharacteristic
971C4⋊Q8—71no—
972C4⋊Q8—71no—
973C4⋊Q8—71no—
974C4⋊Q8—71no—
975C4⋊Q8—71no—
976C4⋊Q8—71no—
977C4⋊Q8—71no—
978C4⋊Q8—141no—
979C4⋊Q8—141no—
980C4⋊Q8—141no—
981C4⋊Q8—141no—
982C4⋊Q8C22×D711yescharacteristic
983C4⋊Q8C22×D711yescharacteristic
984C4⋊Q8C22×D711yescharacteristic
985C4⋊Q8C22×D711yescharacteristic
986#127—71no—
987#126—21no—
988#126—21no—
989#126—141no—
990#126—141no—
991#126—141no—
992#126—141no—
993#126—141no—
994#126—141no—
995#126—141no—
996#126—141no—
997#125—71no—
998#125—71no—
999#125—71no—
1000#125—71no—
1001#125—71no—
1002#125—71no—
1003#125—71no—
1004#125—71no—
1005#125—71no—
1006#125—71no—
1007#125—71no—
1008#125—71no—
1009#125—141no—
1010#125—141no—
1011#125—141no—
1012#125—141no—
1013#125—141no—
1014#125—141no—
1015#125—141no—
1016#125—141no—
1017#124—71no—
1018#124—71no—
1019#124—141no—
1020#124—141no—
1021#124—141no—
1022#124—141no—
1023#124C22×D711yescharacteristic
1024#124C22×D711yescharacteristic
1025#123—141no—
1026#123—141no—
1027#123—141no—
1028#123—141no—
1029#123—141no—
1030#123—141no—
1031#123—141no—
1032#123—141no—
1033#123—141no—
1034#123—141no—
1035C22⋊Q8—21no—
1036C22⋊Q8—21no—
1037C22⋊Q8—21no—
1038C22⋊Q8—21no—
1039C22⋊Q8—71no—
1040C22⋊Q8—71no—
1041C22⋊Q8—71no—
1042C22⋊Q8—71no—
1043C22⋊Q8—71no—
1044C22⋊Q8—71no—
1045C22⋊Q8—141no—
1046C22⋊Q8—141no—
1047C22⋊Q8—141no—
1048C22⋊Q8—141no—
1049C22⋊Q8—141no—
1050C22⋊Q8—141no—
1051C22⋊Q8—141no—
1052C22⋊Q8—141no—
1053C22⋊Q8—141no—
1054C22⋊Q8—141no—
1055C22⋊Q8—141no—
1056C22⋊Q8—141no—
1057C22⋊Q8—141no—
1058C22⋊Q8—141no—
1059C22⋊Q8—141no—
1060C22⋊Q8—141no—
1061C22⋊Q8—141no—
1062C22⋊Q8—141no—
1063C22⋊Q8—141no—
1064C22⋊Q8—141no—
1065C22⋊Q8—141no—
1066C22⋊Q8—141no—
1067C22⋊Q8—141no—
1068C22⋊Q8—141no—
1069C22⋊Q8—141no—
1070C22⋊Q8—141no—
1071C22⋊Q8—141no—
1072C22⋊Q8—141no—
1073C22⋊Q8—141no—
1074C22⋊Q8—141no—
1075C22⋊Q8—141no—
1076C22⋊Q8—141no—
1077C22⋊Q8—141no—
1078C22⋊Q8—141no—
1079C22⋊Q8—141no—
1080C22⋊Q8—141no—
1081#121—71no—
1082#121—71no—
1083#121—141no—
1084#121—141no—
1085C4×Q8—71no—
1086C4×Q8—71no—
1087C4×Q8—71no—
1088C4×Q8—71no—
1089C4×Q8—71no—
1090C4×Q8—71no—
1091C4×Q8—71no—
1092C4×Q8—141no—
1093C4×Q8—141no—
1094C4×Q8—141no—
1095C4×Q8—141no—
1096C4×Q8C22×D711yescharacteristic
1097C4×Q8C22×D711yescharacteristic
1098C4×Q8C22×D711yescharacteristic
1099C4×D4—71no—
1100C4×D4—71no—
1101C4×D4—71no—
1102C4×D4—71no—
1103C4×D4—71no—
1104C4×D4—71no—
1105C4×D4—71no—
1106C4×D4—71no—
1107C4×D4—71no—
1108C4×D4—71no—
1109C4×D4—71no—
1110C4×D4—71no—
1111C4×D4—71no—
1112C4×D4—71no—
1113C4×D4—141no—
1114C4×D4—141no—
1115C4×D4—141no—
1116C4×D4—141no—
1117C4×D4—141no—
1118C4×D4—141no—
1119C4×D4—141no—
1120C4×D4—141no—
1121C4×D4—141no—
1122C4×D4—141no—
1123C4×D4C22×D711yescharacteristic
1124C4×D4C22×D711yescharacteristic
1125C4×D4C22×D711yescharacteristic
1126C4×D4C22×D711yescharacteristic
1127#117—21no—
1128#117—71no—
1129#117—71no—
1130#117—71no—
1131#117—71no—
1132#117—141no—
1133#117—141no—
1134#117—141no—
1135C2×C4⋊C4—71no—
1136C2×C4⋊C4—141no—
1137C2×C4⋊C4—141no—
1138C2×C4⋊C4—141no—
1139C2×C4⋊C4—141no—
1140C2×C4⋊C4—141no—
1141C2×C4⋊C4—141no—
1142C2×C4⋊C4—141no—
1143C2×C4⋊C4—141no—
1144C2×C22⋊C4—141no—
1145C2×C22⋊C4—141no—
1146C2×C22⋊C4—141no—
1147C2×C22⋊C4—141no—
1148C2×C22⋊C4—141no—
1149C2×C42—71no—
1150#107—71no—
1151#107—71no—
1152#107—71no—
1153#107—71no—
1154#107—71no—
1155#107—71no—
1156#107—71no—
1157#107—71no—
1158#107—71no—
1159#107C22×D711yescharacteristic
1160#107C22×D711yescharacteristic
1161#107C22×D711yescharacteristic
1162#106—71no—
1163#106—71no—
1164#106—71no—
1165#106—71no—
1166#106—71no—
1167#106—71no—
1168#106—71no—
1169#106—71no—
1170#106—71no—
1171#106—71no—
1172#106—71no—
1173#106—71no—
1174C4⋊C8—71no—
1175C4⋊C8—71no—
1176C4⋊C8—71no—
1177C4⋊C8—71no—
1178C4⋊C8—71no—
1179C4⋊C8—71no—
1180C4⋊C8—71no—
1181C4⋊C8—71no—
1182C4⋊C8—71no—
1183C4⋊C8C22×D711yescharacteristic
1184C4⋊C8C22×D711yescharacteristic
1185C4⋊C8C22×D711yescharacteristic
1186#103—71no—
1187#103—71no—
1188#103—71no—
1189#103—71no—
1190#103—71no—
1191#103—71no—
1192#103C22×D711yescharacteristic
1193#103C22×D711yescharacteristic
1194#103C22×D711yescharacteristic
1195#103C22×D711yescharacteristic
1196#103C22×D711yescharacteristic
1197#103C22×D711yescharacteristic
1198#102—71no—
1199#102—71no—
1200#102—71no—
1201#102—71no—
1202#102—71no—
1203#102—71no—
1204#102—71no—
1205#102—71no—
1206#102—71no—
1207#102—71no—
1208#102—71no—
1209#102—71no—
1210#102—71no—
1211#102—71no—
1212#102—71no—
1213#102—71no—
1214#102C22×D711yescharacteristic
1215#102C22×D711yescharacteristic
1216#102C22×D711yescharacteristic
1217#102C22×D711yescharacteristic
1218C22⋊C8—71no—
1219C22⋊C8—71no—
1220C22⋊C8—71no—
1221C22⋊C8—71no—
1222#97—71no—
1223#97—71no—
1224#97—71no—
1225#97—71no—
1226#97C22×D711yescharacteristic
1227#97C22×D711yescharacteristic
1228C4×C8—71no—
1229C4×C8—71no—
1230C4×C8—71no—
1231C4×C8—71no—
1232C4×C8—71no—
1233C4×C8C22×D711yescharacteristic
1234C22×C7—22no—
1235C22×C7—41no—
1236C22×C7—41no—
1237C22×C7—41no—
1238C22×C7—41no—
1239C22×C7—41no—
1240C22×C7C23×D411yescharacteristic
1241C2×D7—21no—
1242C2×D7—21no—
1243C2×D7—21no—
1244C2×D7—22no—
1245C2×D7—41no—
1246C2×D7—41no—
1247C2×D7—41no—
1248C2×D7—41no—
1249C2×D7—41no—
1250C2×D7—84no—
1251C4×C7—21no—
1252C4×C7—21no—
1253C4×C7—21no—
1254C4×C7—21no—
1255C4×C7—21no—
1256C4×C7—21no—
1257C4×C7—41no—
1258C4×C7—41no—
1259C4×C7—41no—
1260C4×C7—41no—
1261C4×C7—41no—
1262C4×C7—41no—
1263C4×C7C2×2−1+411yescharacteristic
1264C4×C7C2×2−1+411yescharacteristic
1265Dic7—21no—
1266Dic7—21no—
1267Dic7—21no—
1268Dic7—21no—
1269Dic7—21no—
1270Dic7—21no—
1271Dic7—21no—
1272Dic7—41no—
1273Dic7—41no—
1274Dic7—41no—
1275Dic7—41no—
1276Dic7—41no—
1277Dic7—41no—
1278C24—141no—
1279C2×Q8—21no—
1280C2×Q8—21no—
1281C2×Q8—21no—
1282C2×Q8—71no—
1283C2×Q8—71no—
1284C2×Q8—71no—
1285C2×Q8—82no—
1286C2×Q8—141no—
1287C2×Q8—141no—
1288C2×Q8—141no—
1289C2×Q8—141no—
1290C2×Q8—141no—
1291C2×Q8—562no—
1292C2×Q8D4×D711yescharacteristic
1293C2×Q8C23×D711yescharacteristic
1294C2×Q8C23×D711yescharacteristic
1295C2×D4—71no—
1296C2×D4—71no—
1297C2×D4—141no—
1298C2×D4—141no—
1299C2×D4—141no—
1300C2×D4—141no—
1301C2×D4—142no—
1302C2×D4—142no—
1303C2×D4—141no—
1304C2×D4C23×D711yescharacteristic
1305C2×D4C23×D711yescharacteristic
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—71no—
1311C22×C4—71no—
1312C22×C4—71no—
1313C22×C4—141no—
1314C22×C4—141no—
1315C22×C4—141no—
1316C22×C4—141no—
1317C22×C4—141no—
1318C22×C4—141no—
1319C22×C4—141no—
1320C22×C4—141no—
1321C22×C4—141no—
1322C22×C4—141no—
1323C22×C4—141no—
1324C22×C4—141no—
1325C22×C4—141no—
1326C22×C4—141no—
1327C22×C4—141no—
1328C22×C4—562no—
1329SD16—22no—
1330SD16—22no—
1331SD16—142no—
1332SD16—142no—
1333D8—22no—
1334D8—142no—
1335D8—142no—
1336D8—142no—
1337C2×C8—71no—
1338C2×C8—71no—
1339C2×C8—71no—
1340C2×C8—71no—
1341C2×C8C23×D711yescharacteristic
1342C2×C8C23×D711yescharacteristic
1343C2×C8C23×D711yescharacteristic
1344C2×C8C23×D711yescharacteristic
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—71no—
1353C4⋊C4—71no—
1354C4⋊C4—71no—
1355C4⋊C4—71no—
1356C4⋊C4—71no—
1357C4⋊C4—71no—
1358C4⋊C4—71no—
1359C4⋊C4—71no—
1360C4⋊C4—71no—
1361C4⋊C4—71no—
1362C4⋊C4—71no—
1363C4⋊C4—71no—
1364C4⋊C4—71no—
1365C4⋊C4—71no—
1366C4⋊C4—71no—
1367C4⋊C4—71no—
1368C4⋊C4—71no—
1369C4⋊C4—71no—
1370C4⋊C4—71no—
1371C4⋊C4—141no—
1372C4⋊C4—141no—
1373C4⋊C4—141no—
1374C4⋊C4—141no—
1375C4⋊C4—141no—
1376C4⋊C4—141no—
1377C4⋊C4—141no—
1378C4⋊C4—141no—
1379C4⋊C4—141no—
1380C4⋊C4—141no—
1381C4⋊C4—141no—
1382C4⋊C4—141no—
1383C4⋊C4—141no—
1384C4⋊C4—141no—
1385C4⋊C4—141no—
1386C4⋊C4—141no—
1387C4⋊C4—141no—
1388C4⋊C4—141no—
1389C4⋊C4—141no—
1390C4⋊C4—141no—
1391C4⋊C4—141no—
1392C4⋊C4—141no—
1393C4⋊C4—141no—
1394C4⋊C4—141no—
1395C4⋊C4—141no—
1396C4⋊C4—141no—
1397C4⋊C4—141no—
1398C4⋊C4—141no—
1399C4⋊C4—141no—
1400C4⋊C4—141no—
1401C4⋊C4—141no—
1402C4⋊C4—141no—
1403C4⋊C4D4×D711yescharacteristic
1404C4⋊C4D4×D711yescharacteristic
1405C4⋊C4D4×D711yescharacteristic
1406C4⋊C4C23×D711yescharacteristic
1407C4⋊C4C23×D711yescharacteristic
1408C4⋊C4C23×D711yescharacteristic
1409C4⋊C4C23×D711yescharacteristic
1410C22⋊C4—21no—
1411C22⋊C4—21no—
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—71no—
1419C22⋊C4—71no—
1420C22⋊C4—71no—
1421C22⋊C4—71no—
1422C22⋊C4—141no—
1423C22⋊C4—141no—
1424C22⋊C4—141no—
1425C22⋊C4—141no—
1426C22⋊C4—141no—
1427C22⋊C4—141no—
1428C22⋊C4—141no—
1429C22⋊C4—141no—
1430C22⋊C4—141no—
1431C22⋊C4—141no—
1432C22⋊C4—141no—
1433C22⋊C4—141no—
1434C22⋊C4—141no—
1435C22⋊C4—141no—
1436C22⋊C4—141no—
1437C22⋊C4—141no—
1438C22⋊C4—141no—
1439C22⋊C4—141no—
1440C22⋊C4—141no—
1441C22⋊C4—141no—
1442C22⋊C4—141no—
1443C22⋊C4—141no—
1444C22⋊C4—141no—
1445C22⋊C4—141no—
1446C42—21no—
1447C42—21no—
1448C42—71no—
1449C42—71no—
1450C42—71no—
1451C42—71no—
1452C42—71no—
1453C42—141no—
1454C42—141no—
1455C42—141no—
1456C42—141no—
1457C42—141no—
1458C42—141no—
1459C42C23×D711yescharacteristic
1460C42C23×D711yescharacteristic
1461C42C23×D711yescharacteristic
1462C2×C7—42no—
1463C2×C7—81no—
1464C2×C7#348611yescharacteristic
1465C2×C7#358411yescharacteristic
1466C2×C7#358511yescharacteristic
1467D7—41no—
1468D7—42no—
1469D7—81no—
1470C23—21no—
1471C23—21no—
1472C23—71no—
1473C23—144no—
1474C23—141no—
1475C23—141no—
1476C23—561no—
1477C23—561no—
1478Q8—21no—
1479Q8—21no—
1480Q8—21no—
1481Q8—21no—
1482Q8—41no—
1483Q8—42no—
1484Q8—81no—
1485Q8—81no—
1486Q8—281no—
1487Q8—281no—
1488Q8—281no—
1489Q8—561no—
1490Q8—561no—
1491Q8—561no—
1492Q8—561no—
1493Q8—561no—
1494D4—21no—
1495D4—21no—
1496D4—21no—
1497D4—72no—
1498D4—144no—
1499D4—141no—
1500D4—141no—
1501D4—141no—
1502D4—561no—
1503D4—561no—
1504D4—561no—
1505D4—561no—
1506D4#655412yes—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—42no—
1514C2×C4—71no—
1515C2×C4—71no—
1516C2×C4—71no—
1517C2×C4—71no—
1518C2×C4—71no—
1519C2×C4—71no—
1520C2×C4—71no—
1521C2×C4—81no—
1522C2×C4—81no—
1523C2×C4—81no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—281no—
1533C2×C4—281no—
1534C2×C4—282no—
1535C2×C4—561no—
1536C2×C4—561no—
1537C2×C4—561no—
1538C2×C4—561no—
1539C2×C4—561no—
1540C2×C4—561no—
1541C2×C4—561no—
1542C2×C4—561no—
1543C2×C4—561no—
1544C2×C4—561no—
1545C2×C4—561no—
1546C2×C4—561no—
1547C2×C4—561no—
1548C2×C4—561no—
1549C2×C4C2×D4×D711yescharacteristic
1550C2×C4C2×D4×D711yescharacteristic
1551C2×C4C2×D4×D711yescharacteristic
1552C2×C4C2×D4×D711yescharacteristic
1553C2×C4C2×D4×D711yescharacteristic
1554C2×C4C2×D4×D711yescharacteristic
1555C2×C4C24×D711yescharacteristic
1556C8—21no—
1557C8—21no—
1558C8—21no—
1559C8—21no—
1560C8—141no—
1561C8—141no—
1562C8—141no—
1563C8—141no—
1564C7#6185511yescharacteristic, complemented, Sylow
1565C22—22no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—141no—
1572C22—141no—
1573C22—141no—
1574C22—142no—
1575C22—281no—
1576C22—281no—
1577C22—281no—
1578C22—281no—
1579C22—281no—
1580C22—564no—
1581C22C22×D4×D711yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—141no—
1595C4—141no—
1596C4—141no—
1597C4—141no—
1598C4—141no—
1599C4—141no—
1600C4—141no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C4—281no—
1607C4C2×#655411yescharacteristic
1608C4D7×2−1+411yescharacteristic
1609C2—42no—
1610C2—81no—
1611C2—281no—
1612C2—282no—
1613C2—561no—
1614C2#1174380311yescharacteristic
1615C2#1174426011yescharacteristic
1616C2#1174427811yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3367C2
socleC22×C7C23×D4
prime radical#11737041C2
hypercenter#3367D7
hypocenterC7#61855
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3367

Complements

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

NH ≅ G/Ntype
1. #11744065C2semidirect
2. #11743829C2semidirect
3. C7×#3367C2semidirect
4. #11741114C2semidirect
5. #11741009C2semidirect
6. #11739140C2semidirect
7. #11739137C2semidirect
8. #11739119C2semidirect
9. #11739117C2semidirect
10. #11739066C2semidirect
11. #11739056C2semidirect
12. #11738581C2semidirect
13. #11738562C2semidirect
14. #11738558C2semidirect
15. #11738548C2semidirect
16. #11738418C2semidirect
17. #11738407C2semidirect
18. #11737965C2semidirect
19. #11737962C2semidirect
20. #11737953C2semidirect
21. #11737950C2semidirect
22. #11737864C2semidirect
23. #11737858C2semidirect
24. #11737424C2semidirect
25. #11737411C2semidirect
26. #11737230C2semidirect
27. #11737227C2semidirect
28. #11737207C2semidirect
29. #11737206C2semidirect
31. #11737020C2semidirect
32. C7×#556C22semidirect
36. #90423C22semidirect
49. #90372C22semidirect
50. #90372C22semidirect
63. #90270C22semidirect
65. #90261C22semidirect
66. #90260C22semidirect
74. #90230C22semidirect
77. C7×#489C22semidirect
78. C7×#489C22semidirect
79. C7×#487C22semidirect
80. C7×#477C22semidirect
81. C7×#477C22semidirect
82. C7×#474C22semidirect
86. C7×#446C22semidirect
102. #89859C22semidirect
103. #89856C22semidirect
104. #89856C22semidirect
106. #89854C22semidirect
107. #89852C22semidirect
108. #89852C22semidirect
109. #89851C22semidirect
112. #89828C22semidirect
113. #89827C22semidirect
116. #89796C22semidirect
117. #89794C22semidirect
118. #89792C22semidirect
125. #89781C22semidirect
133. #89650C22semidirect
134. #89650C22semidirect
135. #89650C22semidirect
136. #89648C22semidirect
137. #89648C22semidirect
138. #89646C22semidirect
141. #89619C22semidirect
142. #89619C22semidirect
144. #89618C22semidirect
148. #89602C22semidirect
149. #89600C22semidirect
150. #89600C22semidirect
160. #89572C22semidirect
161. #89572C22semidirect
162. #89572C22semidirect
163. #89571C22semidirect
164. #89568C22semidirect
165. #89568C22semidirect
166. #89568C22semidirect
167. #89568C22semidirect
168. #89567C22semidirect
169. #89566C22semidirect
170. #89563C22semidirect
171. #89563C22semidirect
182. #89538C22semidirect
183. #89536C22semidirect
185. #89535C22semidirect
186. #89535C22semidirect
188. #89533C22semidirect
189. #89532C22semidirect
195. #89474C22semidirect
196. #89474C22semidirect
197. #89473C22semidirect
198. #89473C22semidirect
201. #89455C22semidirect
202. C8×Dic14C22semidirect
494. #3367D7semidirect
701. #556C2×D7semidirect
755. #489C2×D7semidirect
756. #489C2×D7semidirect
761. #487C2×D7semidirect
796. #477C2×D7semidirect
797. #477C2×D7semidirect
810. #474C2×D7semidirect
832. #446C2×D7semidirect
1564. C7#61855semidirect

Maximal subgroups

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

subgroupindex
#117440652
#117438292
C7×#33672
#117411142
#117410092
#117391402
#117391372
#117391192
#117391172
#117390662
#117390562
#117385812
#117385622
#117385582
#117385482
#117384182
#117384072
#117379652
#117379622
#117379532
#117379502
#117378642
#117378582
#117374242
#117374112
#117372302
#117372272
#117372072
#117372062
#117370412
#117370202
#618557