Finite Group Databasebeta

← #32880368

Subgroups — #32880368

Order 18176.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602387C211yesmaximal, characteristic, complemented
2#22602370C211yesmaximal, characteristic, complemented
3#22601357C211yesmaximal, characteristic, complemented
4#22601236C211yesmaximal, characteristic, complemented
5#22600986C211yesmaximal, characteristic, complemented
6#22600972C211yesmaximal, characteristic, complemented
7#22600930C211yesmaximal, characteristic, complemented
8#22600824C211yesmaximal, characteristic, complemented
9#22600820C211yesmaximal, characteristic, complemented
10#22600263C211yesmaximal, characteristic, complemented
11#22600189C211yesmaximal, characteristic, complemented
12#22600185C211yesmaximal, characteristic, complemented
13#22600163C211yesmaximal, characteristic, complemented
14#22600159C211yesmaximal, characteristic, complemented
15#22600148C211yesmaximal, characteristic, complemented
16#22599937C211yesmaximal, characteristic, complemented
17#22599827C211yesmaximal, characteristic, complemented
18#22599819C211yesmaximal, characteristic, complemented
19#22599027C211yesmaximal, characteristic, complemented
20#22598896C211yesmaximal, characteristic, complemented
21#22598537C211yesmaximal, characteristic, complemented
22#22598533C211yesmaximal, characteristic, complemented
23#22598522C211yesmaximal, characteristic, complemented
24#22598518C211yesmaximal, characteristic, complemented
25#22598437C211yesmaximal, characteristic, complemented
26#22598429C211yesmaximal, characteristic, complemented
27#22597311C211yesmaximal, characteristic, complemented
28#22597174C211yesmaximal, characteristic, complemented
29#22597167C211yesmaximal, characteristic, complemented
30C4×D8×D71C211yesmaximal, characteristic, complemented
31C71×#3179C211yesmaximal, characteristic, complemented
32C2×#14556156C2211yescharacteristic
33C2×#14556155C2211yescharacteristic
34C2×D8×D71C2211yescharacteristic
35#17986718C2211yescharacteristic, complemented
36#17986713C2211yescharacteristic, complemented
37#17986710C2211yescharacteristic, complemented
38#17986707C2211yescharacteristic, complemented
39#17986705C2211yescharacteristic, complemented
40#17986702C2211yescharacteristic
41#17986696C2211yescharacteristic
42#17986694—21no—
43#17986685—21no—
44#17986679—21no—
45#17986674—21no—
46#17986669C2211yescharacteristic, complemented
47#17986664C2211yescharacteristic, complemented
48#17986657—21no—
49#17986651C2211yescharacteristic, complemented
50#17986649C2211yescharacteristic, complemented
51#17986646—21no—
52#17986646C2211yescharacteristic, complemented
53#17986642C2211yescharacteristic, complemented
54#17986641—21no—
55#17986638—21no—
56#17986634C2211yescharacteristic
57#17986633C2211yescharacteristic
58#17986633C2211yescharacteristic, complemented
59#17986614C2211yescharacteristic, complemented
60#17986600C2211yescharacteristic, complemented
61#17986595—21no—
62#17986592—21no—
63#17986585—21no—
64#17986581—21no—
65#17986553C2211yescharacteristic, complemented
66#17986546C2211yescharacteristic
67#17986527C2211yescharacteristic
68#17986507—21no—
69#17986507—21no—
70C22⋊Q8×D71—21no—
71#121×D71—21no—
72#17986481C2211yescharacteristic, complemented
73#17986479C2211yescharacteristic, complemented
74#17986473C2211yescharacteristic, complemented
75#17986471C2211yescharacteristic, complemented
76C4×D4×D71C2211yescharacteristic
77C4×D4×D71C2211yescharacteristic, complemented
78#17986407C2211yescharacteristic, complemented
79#17986396C2211yescharacteristic, complemented
80#17986387C2211yescharacteristic, complemented
81#17986370C2211yescharacteristic, complemented
82#17986352C2211yescharacteristic, complemented
83#17986348C2211yescharacteristic, complemented
84#17986344C2211yescharacteristic, complemented
85#17986344C2211yescharacteristic, complemented
86#17986343C2211yescharacteristic, complemented
87#17986337C2211yescharacteristic, complemented
88#17986336C2211yescharacteristic, complemented
89#17986333C2211yescharacteristic, complemented
90#17986321C2211yescharacteristic, complemented
91#17986320C2211yescharacteristic, complemented
92#17986319C2211yescharacteristic, complemented
93#17986316C2211yescharacteristic, complemented
94#17986316C2211yescharacteristic, complemented
95#17986315C2211yescharacteristic, complemented
96#17986314C2211yescharacteristic, complemented
97#17986310C2211yescharacteristic, complemented
98#17986304C2211yescharacteristic, complemented
99#17986303C2211yescharacteristic, complemented
100#17986302C2211yescharacteristic, complemented
101#17986296C2211yescharacteristic, complemented
102#17986288C2211yescharacteristic, complemented
103#17986288C2211yescharacteristic, complemented
104#17986287C2211yescharacteristic, complemented
105#17986286C2211yescharacteristic, complemented
106#17986278C2211yescharacteristic, complemented
107#17986277C2211yescharacteristic, complemented
108#17986277C2211yescharacteristic, complemented
109#17986276C2211yescharacteristic, complemented
110#17986249C2211yescharacteristic, complemented
111#17986246C2211yescharacteristic, complemented
112#17986234C2211yescharacteristic, complemented
113#17986231C2211yescharacteristic, complemented
114#17986229C2211yescharacteristic, complemented
115#17986227C2211yescharacteristic, complemented
116#17986227C2211yescharacteristic, complemented
117#17986225C2211yescharacteristic, complemented
118#17986213C2211yescharacteristic
119#17986212C2211yescharacteristic, complemented
120#17986211C2211yescharacteristic
121#17986211C2211yescharacteristic, complemented
122#17986203C2211yescharacteristic, complemented
123#17986202C2211yescharacteristic, complemented
124#17986197C2211yescharacteristic, complemented
125#17986196C2211yescharacteristic, complemented
126#17986193C2211yescharacteristic, complemented
127#17986193C2211yescharacteristic, complemented
128#17986192C2211yescharacteristic, complemented
129#17986191C2211yescharacteristic, complemented
130#17986151C2211yescharacteristic
131#17986151C2211yescharacteristic, complemented
132#17986149C2211yescharacteristic, complemented
133#17986148C2211yescharacteristic
134#17986147C2211yescharacteristic, complemented
135#17986143C2211yescharacteristic, complemented
136#17986142C2211yescharacteristic, complemented
137#17986142C2211yescharacteristic, complemented
138#17986134C2211yescharacteristic, complemented
139#17986132C2211yescharacteristic
140#17986131C2211yescharacteristic
141#17986131C2211yescharacteristic, complemented
142#17986127C2211yescharacteristic, complemented
143C8×Dic142C2211yescharacteristic, complemented
144#17986112C2211yescharacteristic
145#17986112C2211yescharacteristic, complemented
146#17986110C2211yescharacteristic
147#17986109C2211yescharacteristic, complemented
148#17986109C2211yescharacteristic, complemented
149#17986101C2211yescharacteristic, complemented
150#17986101C2211yescharacteristic, complemented
151#17986100C2211yescharacteristic, complemented
152#17986099C2211yescharacteristic, complemented
153#17986097C2211yescharacteristic, complemented
154C4×#11765854C2211yescharacteristic, complemented
155C4×#11765854C2211yescharacteristic, complemented
156C4×#11765852C2211yescharacteristic, complemented
157C4×#11765853C2211yescharacteristic, complemented
158#17986084C2211yescharacteristic, complemented
159C4×D568C2211yescharacteristic
160C4×D568C2211yescharacteristic, complemented
161D8×Dic71C2211yescharacteristic, complemented
162#17986081C2211yescharacteristic
163C4×#11765850C2211yescharacteristic
164C4×#11765850C2211yescharacteristic, complemented
165#17986079C2211yescharacteristic
166#17986079C2211yescharacteristic, complemented
167#17986079C2211yescharacteristic, complemented
168#17986075C2211yescharacteristic, complemented
169#17986072C2211yescharacteristic, complemented
170#17986068C2211yescharacteristic, complemented
171C8×D284C2211yescharacteristic, complemented
172C8×C22⋊D71C2211yescharacteristic, complemented
173C8×C22⋊D71C2211yescharacteristic, complemented
174#17986061C2211yescharacteristic, complemented
175#17986060C2211yescharacteristic, complemented
176#17986054C2211yescharacteristic, complemented
177#17986041C2211yescharacteristic, complemented
178#17986038C2211yescharacteristic, complemented
179#107×D71C2211yescharacteristic, complemented
180#17985996C2211yescharacteristic, complemented
181#17985994C2211yescharacteristic, complemented
182C2×#14556050C2211yescharacteristic, complemented
183#102×D71C2211yescharacteristic
184#102×D71C2211yescharacteristic, complemented
185#102×D71C2211yescharacteristic, complemented
186#17985953C2211yescharacteristic, complemented
187C4×C8×D71C2211yescharacteristic, complemented
188#542×C71C2211yescharacteristic, complemented
189#540×C71C2211yescharacteristic, complemented
190#501×C71C2211yescharacteristic, complemented
191#496×C71C2211yescharacteristic, complemented
192#488×C71C2211yescharacteristic, complemented
193#486×C71C2211yescharacteristic, complemented
194#469×C71C2211yescharacteristic, complemented
195#468×C71C2211yescharacteristic, complemented
196#466×C71C2211yescharacteristic, complemented
197#465×C71C2211yescharacteristic, complemented
198#442×C71C2211yescharacteristic, complemented
199#440×C71C2211yescharacteristic, complemented
200C4×SD16×C71C2211yescharacteristic, complemented
201C4×D8×C71C2211yescharacteristic, complemented
202#405×C71C2211yescharacteristic, complemented
203C2×#11765866C2311yescharacteristic
204C2×#11765865—21no—
205C2×#11765865C2311yescharacteristic
206C2×#11765864—21no—
207C2×#11765864—21no—
208C2×Q8×D71—21no—
209C22×D284C2311yescharacteristic
210C2×D4×D71—21no—
211C2×D4×D71—21no—
212C2×D4×D71—21no—
213C2×D4×D71C2311yescharacteristic
214C2×D4×D71C2311yescharacteristic
215C2×D4×D71C2311yescharacteristic
216C22×C4×D71—21no—
217C22×C4×D71—21no—
218#14556156—24no—
219#14556155—24no—
220C2×#11765854C2311yescharacteristic
221C2×#11765854C2311yescharacteristic
222C2×#11765853C2311yescharacteristic
223C2×#11765853C2311yescharacteristic
224C2×#11765852C2311yescharacteristic
225C2×#11765852C2311yescharacteristic
226C2×D568C2311yescharacteristic
227C2×D568C2311yescharacteristic
228C2×#11765850C2311yescharacteristic
229C2×#11765850C2311yescharacteristic
230C2×#11765850C2311yescharacteristic
231C2×#11765850C2311yescharacteristic
232D8×D71—24no—
233C2×#11765848C2311yescharacteristic
234C2×C8×D71C2311yescharacteristic
235C2×C8×D71C2311yescharacteristic
236C2×C8×D71C2311yescharacteristic
237#14556127C2311yescharacteristic
238#14556127C2311yescharacteristic
239#14556127C2311yescharacteristic
240#14556126C2311yescharacteristic
241#14556124C2311yescharacteristic
242#14556124C2311yescharacteristic
243#14556123—21no—
244#14556123D411yescharacteristic
245#14556121—21no—
246#14556121—21no—
247#14556121—21no—
248#14556121—21no—
249#14556121D411yescharacteristic
250#14556119—21no—
251#14556119C2311yescharacteristic
252#14556118—21no—
253#14556118—21no—
254#14556118D411yescharacteristic
255#14556115—21no—
256#14556115C2311yescharacteristic
257#14556114—21no—
258#14556114—21no—
259#14556114—21no—
260#14556114D411yescharacteristic
261#14556113—21no—
262#14556113—21no—
263#14556113D411yescharacteristic
264#14556111—21no—
265#14556111—21no—
266#14556110—21no—
267#14556110—21no—
268#14556110—21no—
269#14556110—21no—
270#14556110—21no—
271#14556110D411yescharacteristic
272#14556109—21no—
273#14556109—21no—
274#14556108—21no—
275#14556108—21no—
276#14556108C2311yescharacteristic
277#14556108C2311yescharacteristic
278#14556107—21no—
279#14556106—21no—
280#14556106—21no—
281#14556106—21no—
282#14556106—21no—
283#14556106—21no—
284#14556106D411yescharacteristic
285#14556105—21no—
286#14556105—21no—
287#14556105—21no—
288#14556104—21no—
289#14556104—21no—
290#14556104—21no—
291#14556104C2311yescharacteristic
292#14556103—21no—
293#14556103C2311yescharacteristic
294#14556103C2311yescharacteristic
295#14556102—21no—
296#14556101—21no—
297#14556101—21no—
298#14556101—21no—
299#14556101—21no—
300#14556101—21no—
301#14556101—21no—
302#14556101D411yescharacteristic
303#14556100—21no—
304#14556100—21no—
305#14556100—21no—
306#14556099—21no—
307#14556099—21no—
308#14556099—21no—
309#14556099—21no—
310#14556099C2311yescharacteristic
311#14556099C2311yescharacteristic
312#14556099C2311yescharacteristic
313#14556098—21no—
314#14556098—21no—
315#14556098—21no—
316#14556096—21no—
317#14556096—21no—
318#14556096—21no—
319#14556096—21no—
320#14556096—21no—
321Q8×Dic71C2311yescharacteristic
322C4×Dic142—21no—
323C4×Dic142C2311yescharacteristic
324C4×Dic142C2311yescharacteristic
325C4×Dic142C2311yescharacteristic
326C4×D284—21no—
327C4×D284C2311yescharacteristic
328C4×D284C2311yescharacteristic
329C4×D284C2311yescharacteristic
330C4×D284C2311yescharacteristic
331C4×D284C2311yescharacteristic
332C4×D284C2311yescharacteristic
333C4×D284C2311yescharacteristic
334D4×Dic71C2311yescharacteristic
335D4×Dic71C2311yescharacteristic
336D4×Dic71C2311yescharacteristic
337#14556090—21no—
338#14556090—21no—
339#14556090—21no—
340#14556090—21no—
341#14556090—21no—
342#14556090C2311yescharacteristic
343#14556090C2311yescharacteristic
344#14556090C2311yescharacteristic
345#14556090C2311yescharacteristic
346C4×C22⋊D71—21no—
347C4×C22⋊D71—21no—
348C4×C22⋊D71—21no—
349C4×C22⋊D71—21no—
350C4×C22⋊D71C2311yescharacteristic
351C4×C22⋊D71C2311yescharacteristic
352(C22⋊D71)⋊C4—21no—
353(C22⋊D71)⋊C4—21no—
354(C22⋊D71)⋊C4—21no—
355(C22⋊D71)⋊C4—21no—
356(C22⋊D71)⋊C4—21no—
357(C22⋊D71)⋊C4—21no—
358(C22⋊D71)⋊C4—21no—
359#14556087C2311yescharacteristic
360#14556086—21no—
361#14556086C2311yescharacteristic
362#14556085—21no—
363#14556085—21no—
364#14556085C2311yescharacteristic
365#14556084—21no—
366#14556084—21no—
367C2×C4⋊Dic71C2311yescharacteristic
368C4⋊C4×D71—21no—
369C4⋊C4×D71—21no—
370C4⋊C4×D71—21no—
371C4⋊C4×D71—21no—
372C4⋊C4×D71C2311yescharacteristic
373C4⋊C4×D71C2311yescharacteristic
374C4⋊C4×D71C2311yescharacteristic
375C2×(C2×D71)⋊C4—21no—
376C22⋊C4×D71—21no—
377C22⋊C4×D71—21no—
378C22⋊C4×D71—21no—
379C22⋊C4×D71—21no—
380C22⋊C4×D71—21no—
381C22⋊C4×D71—21no—
382C22⋊C4×D71—21no—
383C42×D71C2311yescharacteristic
384#14556062C2311yescharacteristic
385#14556062C2311yescharacteristic
386#14556061C2311yescharacteristic
387#14556061C2311yescharacteristic
388#14556061C2311yescharacteristic
389#14556061C2311yescharacteristic
390#14556060C2311yescharacteristic
391#14556060C2311yescharacteristic
392#14556059C2311yescharacteristic
393#14556059C2311yescharacteristic
394#14556059C2311yescharacteristic
395#14556059C2311yescharacteristic
396C4⋊(C71⋊C8)C2311yescharacteristic
397C4⋊(C71⋊C8)C2311yescharacteristic
398Dic71⋊C8C2311yescharacteristic
399Dic71⋊C8C2311yescharacteristic
400Dic71⋊C8C2311yescharacteristic
401Dic71⋊C8C2311yescharacteristic
402#14556053C2311yescharacteristic
403#14556053C2311yescharacteristic
404#14556052C2311yescharacteristic
405#14556052C2311yescharacteristic
406#14556051C2311yescharacteristic
407#14556051C2311yescharacteristic
408#14556050C2311yescharacteristic
409#14556050C2311yescharacteristic
410#14556050C2311yescharacteristic
411#14556050C2311yescharacteristic
412#14556050C2311yescharacteristic
413#14556050C2311yescharacteristic
414#14556049C2311yescharacteristic
415#14556049C2311yescharacteristic
416#14556049C2311yescharacteristic
417#14556049C2311yescharacteristic
418#14556049C2311yescharacteristic
419#14556049C2311yescharacteristic
420#14556048C2311yescharacteristic
421#14556048C2311yescharacteristic
422#14556048C2311yescharacteristic
423#14556048C2311yescharacteristic
424#14556048C2311yescharacteristic
425#14556048C2311yescharacteristic
426C22⋊(C71⋊C8)C2311yescharacteristic
427C22⋊(C71⋊C8)C2311yescharacteristic
428(C2×D71)⋊C8C2311yescharacteristic
429(C2×D71)⋊C8C2311yescharacteristic
430(C2×D71)⋊C8C2311yescharacteristic
431(C2×D71)⋊C8C2311yescharacteristic
432#14556039C2311yescharacteristic
433#14556038C2311yescharacteristic
434C4×C71⋊C8C2311yescharacteristic
435C8×Dic71C2311yescharacteristic
436C8×Dic71C2311yescharacteristic
437C8×Dic71C2311yescharacteristic
438C2×SD16×C71C2311yescharacteristic
439C2×SD16×C71C2311yescharacteristic
440C2×D8×C71C2311yescharacteristic
441C2×D8×C71C2311yescharacteristic
442C2×M16×C71C2311yescharacteristic
443C22×C8×C71C2311yescharacteristic
444C4⋊Q8×C71C2311yescharacteristic
445#127×C71C2311yescharacteristic
446#126×C71—21no—
447#125×C71C2311yescharacteristic
448#124×C71—21no—
449#124×C71C2311yescharacteristic
450#123×C71—21no—
451#123×C71—21no—
452#123×C71—21no—
453C22⋊Q8×C71—21no—
454C22⋊Q8×C71C2311yescharacteristic
455#121×C71—21no—
456#121×C71—21no—
457#121×C71C2311yescharacteristic
458#121×C71C2311yescharacteristic
459#121×C71C2311yescharacteristic
460C4×Q8×C71C2311yescharacteristic
461C4×D4×C71C2311yescharacteristic
462C4×D4×C71C2311yescharacteristic
463C4×D4×C71C2311yescharacteristic
464#117×C71C2311yescharacteristic
465#107×C71C2311yescharacteristic
466#107×C71C2311yescharacteristic
467#106×C71C2311yescharacteristic
468#106×C71C2311yescharacteristic
469#103×C71C2311yescharacteristic
470#103×C71C2311yescharacteristic
471#102×C71C2311yescharacteristic
472#102×C71C2311yescharacteristic
473#102×C71C2311yescharacteristic
474#102×C71C2311yescharacteristic
475#102×C71C2311yescharacteristic
476#102×C71C2311yescharacteristic
477#97×C71C2311yescharacteristic
478#97×C71C2311yescharacteristic
479C4×C8×C71C2311yescharacteristic
480C4×C8×C71C2311yescharacteristic
481C23×D71—21no—
482C23×D71—21no—
483C23×D71—21no—
484C23×D71—21no—
485#11765866—22no—
486#11765866—41no—
487#11765865—22no—
488#11765865—41no—
489#11765865—82no—
490#11765864—82no—
491#11765864—82no—
492C2×Dic142—21no—
493C2×Dic142—21no—
494C2×Dic142—21no—
495C2×Dic142C2×D411yescharacteristic
496C2×Dic142C2411yescharacteristic
497Q8×D71—82no—
498C2×D284—22no—
499C2×D284—21no—
500C2×D284—21no—
501C2×D284—21no—
502C2×D284—21no—
503C2×D284—41no—
504C2×D284C2×D411yescharacteristic
505C2×D284C2411yescharacteristic
506C2×D284C2411yescharacteristic
507C2×D284C2411yescharacteristic
508C2×C22⋊D71—21no—
509C2×C22⋊D71—21no—
510C2×C22⋊D71—21no—
511C2×C22⋊D71—21no—
512C2×C22⋊D71—21no—
513C2×C22⋊D71—21no—
514C2×C22⋊D71—21no—
515C2×C22⋊D71—21no—
516C2×C22⋊D71—21no—
517C2×C22⋊D71—21no—
518C2×C22⋊D71—21no—
519C2×C22⋊D71C2×D411yescharacteristic
520C2×C22⋊D71C2×D411yescharacteristic
521D4×D71—22no—
522D4×D71—22no—
523D4×D71—22no—
524D4×D71—41no—
525D4×D71—41no—
526D4×D71—41no—
527D4×D71—82no—
528D4×D71—82no—
529D4×D71—82no—
530C22×Dic71—21no—
531C22×Dic71—21no—
532C22×Dic71—21no—
533C22×Dic71—21no—
534C2×C4×D71—21no—
535C2×C4×D71—21no—
536C2×C4×D71—21no—
537C2×C4×D71—21no—
538C2×C4×D71—21no—
539C2×C4×D71—21no—
540C2×C4×D71—21no—
541C2×C4×D71—21no—
542C2×C4×D71—21no—
543C2×C4×D71—21no—
544C2×C4×D71—21no—
545C2×C4×D71—21no—
546C2×C4×D71—21no—
547C2×C4×D71—21no—
548C2×C4×D71—21no—
549C2×C4×D71—82no—
550C2×C4×D71—82no—
551C2×C4×D71C2×D411yescharacteristic
552C2×C4×D71C2×D411yescharacteristic
553C2×C4×D71C2411yescharacteristic
554C2×C4×D71C2411yescharacteristic
555#11765854—22no—
556#11765854—22no—
557#11765853—41no—
558#11765853—41no—
559#11765852—22no—
560#11765852—41no—
561D568—22no—
562D568#4114yescomplemented
563#11765850—22no—
564#11765850—22no—
565#11765850—22no—
566#11765850—41no—
567#11765848—22no—
568C2×C71⋊C8C2411yescharacteristic
569C2×C71⋊C8C2411yescharacteristic
570C2×C71⋊C8C2411yescharacteristic
571C2×C71⋊C8C2411yescharacteristic
572C8×D71—22no—
573C8×D71—41no—
574C8×D71—41no—
575C4⋊Dic71—21no—
576C4⋊Dic71—21no—
577C4⋊Dic71—21no—
578C4⋊Dic71—21no—
579C4⋊Dic71—21no—
580C4⋊Dic71C2×D411yescharacteristic
581C4⋊Dic71C2×D411yescharacteristic
582C4⋊Dic71C2411yescharacteristic
583C4⋊Dic71C2411yescharacteristic
584C4⋊Dic71C2411yescharacteristic
585C4⋊Dic71C2411yescharacteristic
586Dic71⋊C4—21no—
587Dic71⋊C4—21no—
588Dic71⋊C4—21no—
589Dic71⋊C4—21no—
590Dic71⋊C4—21no—
591Dic71⋊C4—21no—
592Dic71⋊C4—21no—
593Dic71⋊C4—21no—
594Dic71⋊C4—21no—
595Dic71⋊C4—21no—
596Dic71⋊C4—21no—
597Dic71⋊C4—21no—
598Dic71⋊C4C2×D411yescharacteristic
599Dic71⋊C4C2×D411yescharacteristic
600Dic71⋊C4C2×D411yescharacteristic
601Dic71⋊C4C2×D411yescharacteristic
602Dic71⋊C4C2×D411yescharacteristic
603Dic71⋊C4C2×D411yescharacteristic
604C22⋊Dic71—21no—
605C22⋊Dic71—21no—
606C22⋊Dic71—21no—
607C22⋊Dic71—21no—
608C22⋊Dic71—21no—
609C22⋊Dic71—21no—
610C22⋊Dic71—21no—
611C22⋊Dic71—21no—
612C22⋊Dic71—21no—
613C22⋊Dic71C2×D411yescharacteristic
614C22⋊Dic71C2×D411yescharacteristic
615(C2×D71)⋊C4—21no—
616(C2×D71)⋊C4—21no—
617(C2×D71)⋊C4—21no—
618(C2×D71)⋊C4—21no—
619(C2×D71)⋊C4—21no—
620(C2×D71)⋊C4—21no—
621(C2×D71)⋊C4—21no—
622(C2×D71)⋊C4—21no—
623(C2×D71)⋊C4—21no—
624(C2×D71)⋊C4—21no—
625(C2×D71)⋊C4—21no—
626(C2×D71)⋊C4—21no—
627(C2×D71)⋊C4—21no—
628(C2×D71)⋊C4—21no—
629(C2×D71)⋊C4—21no—
630(C2×D71)⋊C4—21no—
631(C2×D71)⋊C4C2×D411yescharacteristic
632(C2×D71)⋊C4C2×D411yescharacteristic
633(C2×D71)⋊C4C2×D411yescharacteristic
634(C2×D71)⋊C4C2×D411yescharacteristic
635(C2×D71)⋊C4C2×D411yescharacteristic
636(C2×D71)⋊C4C2×D411yescharacteristic
637C4×Dic71—21no—
638C4×Dic71—21no—
639C4×Dic71—21no—
640C4×Dic71—21no—
641C4×Dic71—21no—
642C4×Dic71C2×D411yescharacteristic
643C4×Dic71C2×D411yescharacteristic
644C4×Dic71C2411yescharacteristic
645C4×Dic71C2411yescharacteristic
646C2×Q8×C71—21no—
647C2×Q8×C71C2411yescharacteristic
648C2×D4×C71—21no—
649C2×D4×C71—21no—
650C2×D4×C71—21no—
651C2×D4×C71—21no—
652C2×D4×C71—21no—
653C2×D4×C71C2411yescharacteristic
654C2×D4×C71C2411yescharacteristic
655C2×D4×C71C2411yescharacteristic
656C22×C4×C71—21no—
657C22×C4×C71—21no—
658C22×C4×C71—21no—
659C22×C4×C71C2411yescharacteristic
660SD16×C71—22no—
661SD16×C71—41no—
662D8×C71—22no—
663D8×C71—41no—
664M16×C71—22no—
665C2×C8×C71—41no—
666C2×C8×C71C2411yescharacteristic
667C2×C8×C71C2411yescharacteristic
668C2×C8×C71C2411yescharacteristic
669C2×C8×C71C2411yescharacteristic
670C4⋊C4×C71—21no—
671C4⋊C4×C71—21no—
672C4⋊C4×C71—21no—
673C4⋊C4×C71—21no—
674C4⋊C4×C71—21no—
675C4⋊C4×C71C2×D411yescharacteristic
676C4⋊C4×C71C2×D411yescharacteristic
677C4⋊C4×C71C2411yescharacteristic
678C4⋊C4×C71C2411yescharacteristic
679C4⋊C4×C71C2411yescharacteristic
680C4⋊C4×C71C2411yescharacteristic
681C22⋊C4×C71—21no—
682C22⋊C4×C71—21no—
683C22⋊C4×C71—21no—
684C22⋊C4×C71—21no—
685C22⋊C4×C71—21no—
686C22⋊C4×C71—21no—
687C22⋊C4×C71—21no—
688C22⋊C4×C71—21no—
689C22⋊C4×C71—21no—
690C22⋊C4×C71C2×D411yescharacteristic
691C22⋊C4×C71C2×D411yescharacteristic
692C42×C71—21no—
693C42×C71C2411yescharacteristic
694C42×C71C2411yescharacteristic
695C23×C71—21no—
696C23×C71—21no—
697C23×C71—21no—
698C23×C71C22×D411yescharacteristic
699C22×D71—21no—
700C22×D71—21no—
701C22×D71—21no—
702C22×D71—42no—
703C22×D71—42no—
704C22×D71—42no—
705C22×D71—42no—
706C22×D71—42no—
707C22×D71—42no—
708C22×D71—81no—
709C22×D71—81no—
710C22×D71—81no—
711C22×D71—81no—
712C22×D71—81no—
713C22×D71—81no—
714C22×D71C22×D411yescharacteristic
715C22×D71C22×D411yescharacteristic
716Q8×C71—21no—
717Q8×C71—21no—
718Q8×C71—81no—
719D4×C71—21no—
720D4×C71—21no—
721D4×C71—21no—
722D4×C71—21no—
723D4×C71—21no—
724D4×C71—21no—
725D4×C71—81no—
726D4×C71—81no—
727D4×C71—81no—
728D4×C71—81no—
729D4×C71—81no—
730C2×C4×C71—21no—
731C2×C4×C71—21no—
732C2×C4×C71—21no—
733C2×C4×C71—21no—
734C2×C4×C71—21no—
735C2×C4×C71—21no—
736C2×C4×C71—21no—
737C2×C4×C71—81no—
738C2×C4×C71—81no—
739C2×C4×C71—81no—
740C2×C4×C71C22×D411yescharacteristic
741C2×C4×C71C22×D411yescharacteristic
742C2×C4×C71C22×D411yescharacteristic
743C2×C4×C71C22×D411yescharacteristic
744C2×C4×C71C22×D411yescharacteristic
745C2×C4×C71C2511yescharacteristic
746C22⋊D71—22no—
747C22⋊D71—22no—
748C22⋊D71—42no—
749C22⋊D71—42no—
750C22⋊D71—42no—
751C22⋊D71—42no—
752C22⋊D71—42no—
753C22⋊D71—42no—
754C22⋊D71—81no—
755C22⋊D71—81no—
756C22⋊D71—81no—
757C22⋊D71—81no—
758C22⋊D71—81no—
759C2×Dic71—21no—
760C2×Dic71—21no—
761C2×Dic71—21no—
762C2×Dic71—21no—
763C2×Dic71—21no—
764C2×Dic71—42no—
765C2×Dic71—42no—
766C2×Dic71—81no—
767C2×Dic71—81no—
768C2×Dic71C22×D411yescharacteristic
769C2×Dic71C22×D411yescharacteristic
770C2×Dic71C22×D411yescharacteristic
771C2×Dic71C22×D411yescharacteristic
772C2×Dic71C22×D411yescharacteristic
773C2×Dic71C22×D411yescharacteristic
774D284—22no—
775D284—21no—
776D284—21no—
777D284—21no—
778D284—21no—
779D284—42no—
780D284—42no—
781D284—42no—
782D284—81no—
783D284C2×#4112yes—
784D284C2×#4112yes—
785C4×D71—22no—
786C4×D71—21no—
787C4×D71—21no—
788C4×D71—21no—
789C4×D71—21no—
790C4×D71—22no—
791C4×D71—42no—
792C4×D71—42no—
793C4×D71—42no—
794C4×D71—42no—
795C4×D71—81no—
796C4×D71—81no—
797C4×D71—81no—
798C4×D71—81no—
799C4×D71—81no—
800C4×D71—81no—
801C4×D71—81no—
802C4×D71—81no—
803C4×D71—81no—
804C4×D71—81no—
805C4×D71—81no—
806Dic142—22no—
807Dic142—21no—
808Dic142—21no—
809Dic142—42no—
810Dic142—81no—
811Dic142—81no—
812C8×C71—21no—
813C8×C71—21no—
814C8×C71—21no—
815C8×C71C2×#4112yes—
816C71⋊C8—21no—
817C71⋊C8—21no—
818C71⋊C8—21no—
819C71⋊C8—21no—
820C22×C71—21no—
821C22×C71—21no—
822C22×C71—21no—
823C22×C71—41no—
824C22×C71—41no—
825C22×C71—41no—
826C22×C71—41no—
827C22×C71—41no—
828C22×C71—41no—
829C22×C71—41no—
830C22×C71—41no—
831C22×C71—41no—
832C22×C71C23×D411yescharacteristic
833C2×D71—21no—
834C2×D71—21no—
835C2×D71—21no—
836C2×D71—22no—
837C2×D71—22no—
838C2×D71—21no—
839C2×D71—21no—
840C2×D71—41no—
841C2×D71—41no—
842C2×D71—41no—
843C2×D71—41no—
844C2×D71—41no—
845C2×D71—41no—
846C2×D71—41no—
847C2×D71—84no—
848C2×D71—84no—
849C2×D71—162no—
850C2×D71—162no—
851C2×D71#57712yes—
852C4×C71—21no—
853C4×C71—21no—
854C4×C71—21no—
855C4×C71—21no—
856C4×C71—21no—
857C4×C71—41no—
858C4×C71—41no—
859C4×C71—41no—
860C4×C71—41no—
861C4×C71—41no—
862C4×C71C22×#4111yescharacteristic
863C4×C71#58511yescharacteristic
864Dic71—21no—
865Dic71—21no—
866Dic71—21no—
867Dic71—21no—
868Dic71—21no—
869Dic71—41no—
870Dic71—41no—
871Dic71—41no—
872Dic71—41no—
873Dic71—41no—
874Dic71#57612yes—
875#61496—711nomaximal, Sylow
876C2×C71—41no—
877C2×C71—81no—
878C2×C71—81no—
879C2×C71—81no—
880C2×C71D4×#4111yescharacteristic
881C2×C71C2×#57611yescharacteristic
882C2×C71C2×#57711yescharacteristic
883D71—22no—
884D71—41no—
885D71—42no—
886D71—42no—
887D71—81no—
888#3520—711no—
889#3519—711no—
890#3397—711no—
891#3384—711no—
892#3360—711no—
893#3358—711no—
894#3354—711no—
895#3346—711no—
896#3346—711no—
897#3303—711no—
898#3297—711no—
899#3297—711no—
900#3295—711no—
901#3295—711no—
902#3294—711no—
903#3272—711no—
904#3264—711no—
905#3264—711no—
906#3179—711no—
907#3179D7111yescharacteristic, complemented
908#3167—711no—
909#3119—711no—
910#3119—711no—
911#3118—711no—
912#3118—711no—
913#3110—711no—
914#3109—711no—
915#2966—711no—
916#2946—711no—
917#2946—711no—
918C2×C4×D8—711no—
919C71#6149611yescharacteristic, complemented, Sylow
920C2×AGL(1,ℤ/8)—711no—
921C2×AGL(1,ℤ/8)—711no—
922C22×D8—711no—
923#556—711no—
924#555—711no—
925#554—711no—
926#554—711no—
927#554—711no—
928#553—711no—
929#553—711no—
930#553—1421no—
931#552—1421no—
932#551—1421no—
933#551—1421no—
934#550—711no—
935D4×Q8—711no—
936#548—1421no—
937#547—711no—
938#547—711no—
939#546—711no—
940#546—711no—
941#546—1421no—
942#546—1421no—
943#546—1421no—
944D42—711no—
945D42—711no—
946D42—711no—
947#542—711no—
948#542C2×D7111yescharacteristic, complemented
949#540—711no—
950#540C2×D7111yescharacteristic, complemented
951#539—1421no—
952#539—1421no—
953#538—1421no—
954#538—1421no—
955#533—711no—
956#532—711no—
957#529—711no—
958#525—1421no—
959#525—1421no—
960C2×C22⋊Q8—1421no—
961C2×#121—1421no—
962#520—711no—
963#520—711no—
964#518—711no—
965#518—711no—
966C2×C4×D4—711no—
967C2×C4×D4—711no—
968#501—711no—
969#501C2×D7111yescharacteristic, complemented
970#498—711no—
971#496—711no—
972#496C2×D7111yescharacteristic, complemented
973#492—711no—
974#488—711no—
975#488C2×D7111yescharacteristic, complemented
976#487—711no—
977#486—711no—
978#486—711no—
979#486C2×D7111yescharacteristic, complemented
980#485—711no—
981#485—711no—
982#484—711no—
983#484—711no—
984#482—711no—
985#482—711no—
986#481—711no—
987#481—711no—
988#481—711no—
989#481—711no—
990#480—711no—
991#480—711no—
992#479—711no—
993#479—711no—
994#478—711no—
995#478—711no—
996#476—711no—
997#476—711no—
998#476—711no—
999#476—711no—
1000#474—711no—
1001#474—711no—
1002#474—711no—
1003#474—711no—
1004#469—711no—
1005#469C2×D7111yescharacteristic, complemented
1006#468—711no—
1007#468C2×D7111yescharacteristic, complemented
1008#466—711no—
1009#466C2×D7111yescharacteristic, complemented
1010#465—711no—
1011#465—711no—
1012#465—711no—
1013#465—711no—
1014#465—711no—
1015#465C2×D7111yescharacteristic, complemented
1016#463—711no—
1017#463—711no—
1018#463—711no—
1019#463—711no—
1020#461—711no—
1021#461—711no—
1022#460—711no—
1023#460—711no—
1024#459—711no—
1025#459—711no—
1026#459—711no—
1027#459—711no—
1028#450—711no—
1029#450—711no—
1030#450—711no—
1031#450—711no—
1032#449—711no—
1033#449—711no—
1034#449—711no—
1035#449—711no—
1036#447—711no—
1037#447—711no—
1038#447—711no—
1039#447—711no—
1040#446—711no—
1041C8×Q8—711no—
1042#442—711no—
1043#442—711no—
1044#442—711no—
1045#442—711no—
1046#442—711no—
1047#442C2×D7111yescharacteristic, complemented
1048#440—711no—
1049#440—711no—
1050#440—711no—
1051#440—711no—
1052#440—711no—
1053#440C2×D7111yescharacteristic, complemented
1054C4×SD16—711no—
1055C4×SD16—711no—
1056C4×SD16—711no—
1057C4×SD16—711no—
1058C4×SD16—711no—
1059C4×SD16C2×D7111yescharacteristic, complemented
1060C4×D8—711no—
1061C4×D8—711no—
1062C4×D8—711no—
1063C4×D8—711no—
1064C4×D8—711no—
1065C4×D8—711no—
1066C4×D8—711no—
1067C4×D8—711no—
1068C4×D8—711no—
1069C4×D8C2×D7111yescharacteristic, complemented
1070#436—711no—
1071#435—711no—
1072#435—711no—
1073C8×D4—711no—
1074C8×D4—711no—
1075C8×D4—711no—
1076#433—711no—
1077#433—711no—
1078#432—711no—
1079#428—711no—
1080#428—711no—
1081C2×#107—711no—
1082#416—711no—
1083#416—711no—
1084C2×#102—711no—
1085C2×#102—711no—
1086C2×#102—711no—
1087C2×#102—711no—
1088#405—711no—
1089#405C2×D7111yescharacteristic, complemented
1090C2×C4×C8—711no—
1091C2×#41—711no—
1092C2×#41—711no—
1093C2×#41—1421no—
1094C2×#41—1421no—
1095C2×#41—1421no—
1096C22×Q8—1421no—
1097C22×D4—711no—
1098C22×D4—711no—
1099C22×D4—711no—
1100C22×D4—711no—
1101C22×D4—1421no—
1102C22×D4—1421no—
1103C22×D4—1421no—
1104C23×C4—1421no—
1105C23×C4—1421no—
1106AGL(1,ℤ/8)—1424no—
1107AGL(1,ℤ/8)—1424no—
1108C2×SD16—711no—
1109C2×SD16—711no—
1110C2×SD16—711no—
1111C2×SD16—711no—
1112C2×SD16—711no—
1113C2×SD16—711no—
1114C2×SD16C22×D7111yescharacteristic
1115C2×SD16C22×D7111yescharacteristic
1116C2×D8—711no—
1117C2×D8—711no—
1118C2×D8—711no—
1119C2×D8—711no—
1120C2×D8—711no—
1121C2×D8—711no—
1122C2×D8—1424no—
1123C2×D8C22×D7111yescharacteristic
1124C2×D8C22×D7111yescharacteristic
1125C2×M16—711no—
1126C2×M16C22×D7111yescharacteristic
1127C22×C8—711no—
1128C22×C8—711no—
1129C22×C8—711no—
1130C22×C8C22×D7111yescharacteristic
1131C4⋊Q8—711no—
1132C4⋊Q8—711no—
1133C4⋊Q8—711no—
1134C4⋊Q8—711no—
1135C4⋊Q8C22×D7111yescharacteristic
1136#127—711no—
1137#127—711no—
1138#127C22×D7111yescharacteristic
1139#126—21no—
1140#126—711no—
1141#126—711no—
1142#126—1421no—
1143#126—1421no—
1144#126—1421no—
1145#126—1421no—
1146#126—1421no—
1147#125—711no—
1148#125—711no—
1149#125—1421no—
1150#125—1421no—
1151#125—1421no—
1152#125C22×D7111yescharacteristic
1153#124—21no—
1154#124—711no—
1155#124—711no—
1156#124—1421no—
1157#124—1421no—
1158#124—1421no—
1159#124—1421no—
1160#124C22×D7111yescharacteristic
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—711no—
1165#123—711no—
1166#123—1421no—
1167#123—1421no—
1168#123—1421no—
1169#123—1421no—
1170#123—1421no—
1171#123—1421no—
1172#123—1421no—
1173#123—1421no—
1174#123—1421no—
1175#123—1421no—
1176#123—1421no—
1177C22⋊Q8—21no—
1178C22⋊Q8—711no—
1179C22⋊Q8—711no—
1180C22⋊Q8—711no—
1181C22⋊Q8—711no—
1182C22⋊Q8—1421no—
1183C22⋊Q8—1421no—
1184C22⋊Q8—1421no—
1185C22⋊Q8—1421no—
1186C22⋊Q8—1421no—
1187C22⋊Q8—1421no—
1188C22⋊Q8—1421no—
1189C22⋊Q8—1421no—
1190C22⋊Q8—1421no—
1191C22⋊Q8—1421no—
1192C22⋊Q8—1421no—
1193C22⋊Q8—1421no—
1194C22⋊Q8—1421no—
1195C22⋊Q8—1421no—
1196C22⋊Q8C22×D7111yescharacteristic
1197#121—21no—
1198#121—21no—
1199#121—711no—
1200#121—711no—
1201#121—711no—
1202#121—711no—
1203#121—711no—
1204#121—711no—
1205#121—1421no—
1206#121—1421no—
1207#121—1421no—
1208#121—1421no—
1209#121—1421no—
1210#121—1421no—
1211#121—1421no—
1212#121—1421no—
1213#121—1421no—
1214#121—1421no—
1215#121—1421no—
1216#121—1421no—
1217#121—1421no—
1218#121—1421no—
1219#121—1421no—
1220#121C22×D7111yescharacteristic
1221#121C22×D7111yescharacteristic
1222#121C22×D7111yescharacteristic
1223#120—1421no—
1224#120—1421no—
1225#120—1421no—
1226#120—1421no—
1227#120—1421no—
1228#120—1421no—
1229#120—1421no—
1230#120—1421no—
1231C4×Q8—711no—
1232C4×Q8—711no—
1233C4×Q8—711no—
1234C4×Q8—711no—
1235C4×Q8—1421no—
1236C4×Q8C22×D7111yescharacteristic
1237C4×D4—711no—
1238C4×D4—711no—
1239C4×D4—711no—
1240C4×D4—711no—
1241C4×D4—711no—
1242C4×D4—711no—
1243C4×D4—711no—
1244C4×D4—711no—
1245C4×D4—711no—
1246C4×D4—711no—
1247C4×D4—711no—
1248C4×D4—711no—
1249C4×D4—711no—
1250C4×D4—711no—
1251C4×D4—711no—
1252C4×D4—711no—
1253C4×D4—1421no—
1254C4×D4—1421no—
1255C4×D4—1421no—
1256C4×D4—1421no—
1257C4×D4—1421no—
1258C4×D4—1421no—
1259C4×D4—1421no—
1260C4×D4—1421no—
1261C4×D4—1421no—
1262C4×D4—1421no—
1263C4×D4—1421no—
1264C4×D4—1421no—
1265C4×D4—1421no—
1266C4×D4—1421no—
1267C4×D4—1421no—
1268C4×D4—1421no—
1269C4×D4—1421no—
1270C4×D4C22×D7111yescharacteristic
1271C4×D4C22×D7111yescharacteristic
1272C4×D4C22×D7111yescharacteristic
1273#117—711no—
1274#117—711no—
1275#117—711no—
1276#117—1421no—
1277#117—1421no—
1278#117—1421no—
1279#117—1421no—
1280#117—1421no—
1281#117C22×D7111yescharacteristic
1282C2×C4⋊C4—711no—
1283C2×C4⋊C4—711no—
1284C2×C4⋊C4—711no—
1285C2×C4⋊C4—711no—
1286C2×C4⋊C4—1421no—
1287C2×C4⋊C4—1421no—
1288C2×C4⋊C4—1421no—
1289C2×C4⋊C4—1421no—
1290C2×C22⋊C4—1421no—
1291C2×C22⋊C4—1421no—
1292C2×C22⋊C4—1421no—
1293C2×C22⋊C4—1421no—
1294C2×C22⋊C4—1421no—
1295C2×C22⋊C4—1421no—
1296C2×C22⋊C4—1421no—
1297C2×C22⋊C4—1421no—
1298C2×C42—711no—
1299#107—711no—
1300#107—711no—
1301#107—711no—
1302#107—711no—
1303#107—711no—
1304#107—711no—
1305#107C22×D7111yescharacteristic
1306#107C22×D7111yescharacteristic
1307#106—711no—
1308#106—711no—
1309#106—711no—
1310#106—711no—
1311#106—711no—
1312#106—711no—
1313#106C22×D7111yescharacteristic
1314#106C22×D7111yescharacteristic
1315C4⋊C8—711no—
1316C4⋊C8—711no—
1317C4⋊C8—711no—
1318C4⋊C8—711no—
1319C4⋊C8—711no—
1320C4⋊C8—711no—
1321#103—711no—
1322#103—711no—
1323#103—711no—
1324#103—711no—
1325#103—711no—
1326#103—711no—
1327#103C22×D7111yescharacteristic
1328#103C22×D7111yescharacteristic
1329#102—711no—
1330#102—711no—
1331#102—711no—
1332#102—711no—
1333#102—711no—
1334#102—711no—
1335#102—711no—
1336#102—711no—
1337#102—711no—
1338#102—711no—
1339#102—711no—
1340#102—711no—
1341#102—711no—
1342#102—711no—
1343#102—711no—
1344#102—711no—
1345#102—711no—
1346#102—711no—
1347#102C22×D7111yescharacteristic
1348#102C22×D7111yescharacteristic
1349#102C22×D7111yescharacteristic
1350#102C22×D7111yescharacteristic
1351#102C22×D7111yescharacteristic
1352#102C22×D7111yescharacteristic
1353C22⋊C8—711no—
1354C22⋊C8—711no—
1355C22⋊C8—711no—
1356C22⋊C8—711no—
1357C22⋊C8—711no—
1358C22⋊C8—711no—
1359#97—711no—
1360#97—711no—
1361#97C22×D7111yescharacteristic
1362#97C22×D7111yescharacteristic
1363C4×C8—711no—
1364C4×C8—711no—
1365C4×C8—711no—
1366C4×C8—711no—
1367C4×C8C22×D7111yescharacteristic
1368C4×C8C22×D7111yescharacteristic
1369C24—1421no—
1370C24—1421no—
1371C24—1421no—
1372C24—1421no—
1373#41—2841no—
1374#41—2841no—
1375#41—5682no—
1376#41—5682no—
1377#41—5682no—
1378#41—1422no—
1379#41—1422no—
1380C2×Q8—21no—
1381C2×Q8—5682no—
1382C2×Q8—711no—
1383C2×Q8—711no—
1384C2×Q8—1421no—
1385C2×Q8—1421no—
1386C2×Q8—1421no—
1387C2×Q8C23×D7111yescharacteristic
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—2841no—
1394C2×D4—2841no—
1395C2×D4—2841no—
1396C2×D4—2841no—
1397C2×D4—5682no—
1398C2×D4—5682no—
1399C2×D4—5682no—
1400C2×D4—711no—
1401C2×D4—711no—
1402C2×D4—711no—
1403C2×D4—711no—
1404C2×D4—711no—
1405C2×D4—711no—
1406C2×D4—1421no—
1407C2×D4—1421no—
1408C2×D4—1422no—
1409C2×D4—1421no—
1410C2×D4—1421no—
1411C2×D4—1421no—
1412C2×D4—1421no—
1413C2×D4—1421no—
1414C2×D4—1421no—
1415C2×D4—1421no—
1416C2×D4—1421no—
1417C2×D4—1422no—
1418C2×D4—1422no—
1419C2×D4—1422no—
1420C2×D4—1421no—
1421C2×D4—1421no—
1422C2×D4—1421no—
1423C2×D4—1421no—
1424C2×D4—1421no—
1425C2×D4C23×D7111yescharacteristic
1426C2×D4C23×D7111yescharacteristic
1427C2×D4C23×D7111yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—5682no—
1432C22×C4—5682no—
1433C22×C4—711no—
1434C22×C4—711no—
1435C22×C4—711no—
1436C22×C4—711no—
1437C22×C4—1421no—
1438C22×C4—1421no—
1439C22×C4—1421no—
1440C22×C4—1421no—
1441C22×C4—1421no—
1442C22×C4—1421no—
1443C22×C4—1421no—
1444C22×C4—1421no—
1445C22×C4—1421no—
1446C22×C4—1421no—
1447C22×C4—1421no—
1448C22×C4—1421no—
1449C22×C4—1421no—
1450C22×C4—1421no—
1451C22×C4—1421no—
1452C22×C4—1421no—
1453C22×C4—1421no—
1454C22×C4—1421no—
1455C22×C4—1421no—
1456C22×C4C23×D7111yescharacteristic
1457SD16—22no—
1458SD16—41no—
1459SD16—2841no—
1460SD16—2841no—
1461SD16—2841no—
1462SD16—1422no—
1463SD16—1422no—
1464SD16—1422no—
1465D8—22no—
1466D8—41no—
1467D8—2841no—
1468D8—714no—
1469D8—1422no—
1470D8—1422no—
1471D8—1422no—
1472D8—1422no—
1473M16—22no—
1474M16—1422no—
1475C2×C8—41no—
1476C2×C8—2841no—
1477C2×C8—2841no—
1478C2×C8—711no—
1479C2×C8—711no—
1480C2×C8—711no—
1481C2×C8—711no—
1482C2×C8—1422no—
1483C2×C8C23×D7111yescharacteristic
1484C2×C8C23×D7111yescharacteristic
1485C2×C8C23×D7111yescharacteristic
1486C2×C8C23×D7111yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—711no—
1493C4⋊C4—711no—
1494C4⋊C4—711no—
1495C4⋊C4—711no—
1496C4⋊C4—711no—
1497C4⋊C4—711no—
1498C4⋊C4—711no—
1499C4⋊C4—711no—
1500C4⋊C4—711no—
1501C4⋊C4—711no—
1502C4⋊C4—711no—
1503C4⋊C4—711no—
1504C4⋊C4—1421no—
1505C4⋊C4—1421no—
1506C4⋊C4—1421no—
1507C4⋊C4—1421no—
1508C4⋊C4—1421no—
1509C4⋊C4—1421no—
1510C4⋊C4—1421no—
1511C4⋊C4—1421no—
1512C4⋊C4—1421no—
1513C4⋊C4—1421no—
1514C4⋊C4—1421no—
1515C4⋊C4—1421no—
1516C4⋊C4—1421no—
1517C4⋊C4—1421no—
1518C4⋊C4—1421no—
1519C4⋊C4—1421no—
1520C4⋊C4—1421no—
1521C4⋊C4D4×D7111yescharacteristic
1522C4⋊C4D4×D7111yescharacteristic
1523C4⋊C4C23×D7111yescharacteristic
1524C4⋊C4C23×D7111yescharacteristic
1525C4⋊C4C23×D7111yescharacteristic
1526C4⋊C4C23×D7111yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—711no—
1537C22⋊C4—711no—
1538C22⋊C4—711no—
1539C22⋊C4—711no—
1540C22⋊C4—711no—
1541C22⋊C4—711no—
1542C22⋊C4—711no—
1543C22⋊C4—711no—
1544C22⋊C4—1421no—
1545C22⋊C4—1421no—
1546C22⋊C4—1421no—
1547C22⋊C4—1421no—
1548C22⋊C4—1421no—
1549C22⋊C4—1421no—
1550C22⋊C4—1421no—
1551C22⋊C4—1421no—
1552C22⋊C4—1421no—
1553C22⋊C4—1421no—
1554C22⋊C4—1421no—
1555C22⋊C4—1421no—
1556C22⋊C4—1421no—
1557C22⋊C4—1421no—
1558C22⋊C4—1421no—
1559C22⋊C4—1421no—
1560C22⋊C4—1421no—
1561C22⋊C4—1421no—
1562C22⋊C4—1421no—
1563C22⋊C4—1421no—
1564C22⋊C4—1421no—
1565C22⋊C4—1421no—
1566C22⋊C4—1421no—
1567C22⋊C4—1421no—
1568C22⋊C4—1421no—
1569C22⋊C4D4×D7111yescharacteristic
1570C22⋊C4D4×D7111yescharacteristic
1571C42—21no—
1572C42—711no—
1573C42—711no—
1574C42—711no—
1575C42—711no—
1576C42—1421no—
1577C42—1421no—
1578C42—1421no—
1579C42—1421no—
1580C42—1421no—
1581C42C23×D7111yescharacteristic
1582C42C23×D7111yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—2842no—
1587C23—2842no—
1588C23—2842no—
1589C23—2842no—
1590C23—2842no—
1591C23—2842no—
1592C23—5681no—
1593C23—5681no—
1594C23—5681no—
1595C23—5681no—
1596C23—5681no—
1597C23—5681no—
1598C23—711no—
1599C23—711no—
1600C23—1421no—
1601C23—1421no—
1602C23—1421no—
1603C23C2×D4×D7111yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—2842no—
1608Q8—5681no—
1609Q8—5681no—
1610Q8—1422no—
1611Q8—1421no—
1612Q8—1421no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—81no—
1624D4—2842no—
1625D4—2842no—
1626D4—2842no—
1627D4—2842no—
1628D4—2842no—
1629D4—2842no—
1630D4—2842no—
1631D4—2842no—
1632D4—2842no—
1633D4—5681no—
1634D4—5681no—
1635D4—5681no—
1636D4—5681no—
1637D4—5681no—
1638D4—5681no—
1639D4—712no—
1640D4—712no—
1641D4—1422no—
1642D4—1422no—
1643D4—1422no—
1644D4—1421no—
1645D4—1421no—
1646D4—1421no—
1647D4—1421no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—2842no—
1659C2×C4—2842no—
1660C2×C4—2842no—
1661C2×C4—2842no—
1662C2×C4—2842no—
1663C2×C4—2842no—
1664C2×C4—5681no—
1665C2×C4—5681no—
1666C2×C4—5681no—
1667C2×C4—5681no—
1668C2×C4—5681no—
1669C2×C4—5681no—
1670C2×C4—5681no—
1671C2×C4—5681no—
1672C2×C4—5681no—
1673C2×C4—5681no—
1674C2×C4—5681no—
1675C2×C4—5681no—
1676C2×C4—5681no—
1677C2×C4—711no—
1678C2×C4—711no—
1679C2×C4—711no—
1680C2×C4—711no—
1681C2×C4—711no—
1682C2×C4—711no—
1683C2×C4—1422no—
1684C2×C4—1422no—
1685C2×C4—1421no—
1686C2×C4—1421no—
1687C2×C4—1421no—
1688C2×C4—1421no—
1689C2×C4—1421no—
1690C2×C4—1421no—
1691C2×C4—1421no—
1692C2×C4—1421no—
1693C2×C4—1421no—
1694C2×C4C2×D4×D7111yescharacteristic
1695C2×C4C2×D4×D7111yescharacteristic
1696C2×C4C2×D4×D7111yescharacteristic
1697C2×C4C2×D4×D7111yescharacteristic
1698C2×C4C2×D4×D7111yescharacteristic
1699C2×C4C24×D7111yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—1421no—
1704C8—1421no—
1705C8—1421no—
1706C8—1421no—
1707C8#41×D7112yes—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—2841no—
1721C22—2841no—
1722C22—2841no—
1723C22—2841no—
1724C22—2841no—
1725C22—2841no—
1726C22—2841no—
1727C22—5684no—
1728C22—5684no—
1729C22—712no—
1730C22—11362no—
1731C22—11362no—
1732C22—1421no—
1733C22—1421no—
1734C22—1422no—
1735C22—1421no—
1736C22—1422no—
1737C22—1421no—
1738C22—1421no—
1739C22C22×D4×D7111yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—2841no—
1751C4—2841no—
1752C4—2841no—
1753C4—2841no—
1754C4—2841no—
1755C4—712no—
1756C4—1421no—
1757C4—1421no—
1758C4—1421no—
1759C4—1421no—
1760C4—1421no—
1761C4C2×#41×D7111yescharacteristic
1762C4#1798683511yescharacteristic
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—2842no—
1768C2—2842no—
1769C2—2841no—
1770C2—5681no—
1771C2—1422no—
1772C2#2260182611yescharacteristic
1773C2#576×D7111yescharacteristic
1774C2#577×D7111yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3179C2
socleC22×C71C23×D4
hypercenter#3179D71
hypocenterC71#61496
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #22602387C2semidirect
2. #22602370C2semidirect
3. #22601357C2semidirect
4. #22601236C2semidirect
5. #22600986C2semidirect
6. #22600972C2semidirect
7. #22600930C2semidirect
8. #22600824C2semidirect
9. #22600820C2semidirect
10. #22600263C2semidirect
11. #22600189C2semidirect
12. #22600185C2semidirect
13. #22600163C2semidirect
14. #22600159C2semidirect
15. #22600148C2semidirect
16. #22599937C2semidirect
17. #22599827C2semidirect
18. #22599819C2semidirect
19. #22599027C2semidirect
20. #22598896C2semidirect
21. #22598537C2semidirect
22. #22598533C2semidirect
23. #22598522C2semidirect
24. #22598518C2semidirect
25. #22598437C2semidirect
26. #22598429C2semidirect
27. #22597311C2semidirect
28. #22597174C2semidirect
29. #22597167C2semidirect
30. C4×D8×D71C2semidirect
31. C71×#3179C2semidirect
35. #17986718C22semidirect
36. #17986713C22semidirect
37. #17986710C22semidirect
38. #17986707C22semidirect
39. #17986705C22semidirect
46. #17986669C22semidirect
47. #17986664C22semidirect
49. #17986651C22semidirect
50. #17986649C22semidirect
52. #17986646C22semidirect
53. #17986642C22semidirect
58. #17986633C22semidirect
59. #17986614C22semidirect
60. #17986600C22semidirect
65. #17986553C22semidirect
72. #17986481C22semidirect
73. #17986479C22semidirect
74. #17986473C22semidirect
75. #17986471C22semidirect
77. C4×D4×D71C22semidirect
78. #17986407C22semidirect
79. #17986396C22semidirect
80. #17986387C22semidirect
81. #17986370C22semidirect
82. #17986352C22semidirect
83. #17986348C22semidirect
84. #17986344C22semidirect
85. #17986344C22semidirect
86. #17986343C22semidirect
87. #17986337C22semidirect
88. #17986336C22semidirect
89. #17986333C22semidirect
90. #17986321C22semidirect
91. #17986320C22semidirect
92. #17986319C22semidirect
93. #17986316C22semidirect
94. #17986316C22semidirect
95. #17986315C22semidirect
96. #17986314C22semidirect
97. #17986310C22semidirect
98. #17986304C22semidirect
99. #17986303C22semidirect
100. #17986302C22semidirect
101. #17986296C22semidirect
102. #17986288C22semidirect
103. #17986288C22semidirect
104. #17986287C22semidirect
105. #17986286C22semidirect
106. #17986278C22semidirect
107. #17986277C22semidirect
108. #17986277C22semidirect
109. #17986276C22semidirect
110. #17986249C22semidirect
111. #17986246C22semidirect
112. #17986234C22semidirect
113. #17986231C22semidirect
114. #17986229C22semidirect
115. #17986227C22semidirect
116. #17986227C22semidirect
117. #17986225C22semidirect
119. #17986212C22semidirect
121. #17986211C22semidirect
122. #17986203C22semidirect
123. #17986202C22semidirect
124. #17986197C22semidirect
125. #17986196C22semidirect
126. #17986193C22semidirect
127. #17986193C22semidirect
128. #17986192C22semidirect
129. #17986191C22semidirect
131. #17986151C22semidirect
132. #17986149C22semidirect
134. #17986147C22semidirect
135. #17986143C22semidirect
136. #17986142C22semidirect
137. #17986142C22semidirect
138. #17986134C22semidirect
141. #17986131C22semidirect
142. #17986127C22semidirect
143. C8×Dic142C22semidirect
145. #17986112C22semidirect
147. #17986109C22semidirect
148. #17986109C22semidirect
149. #17986101C22semidirect
150. #17986101C22semidirect
151. #17986100C22semidirect
152. #17986099C22semidirect
153. #17986097C22semidirect
154. C4×#11765854C22semidirect
155. C4×#11765854C22semidirect
156. C4×#11765852C22semidirect
157. C4×#11765853C22semidirect
158. #17986084C22semidirect
160. C4×D568C22semidirect
161. D8×Dic71C22semidirect
164. C4×#11765850C22semidirect
166. #17986079C22semidirect
167. #17986079C22semidirect
168. #17986075C22semidirect
169. #17986072C22semidirect
170. #17986068C22semidirect
171. C8×D284C22semidirect
172. C8×C22⋊D71C22semidirect
173. C8×C22⋊D71C22semidirect
174. #17986061C22semidirect
175. #17986060C22semidirect
176. #17986054C22semidirect
177. #17986041C22semidirect
178. #17986038C22semidirect
179. #107×D71C22semidirect
180. #17985996C22semidirect
181. #17985994C22semidirect
182. C2×#14556050C22semidirect
184. #102×D71C22semidirect
185. #102×D71C22semidirect
186. #17985953C22semidirect
187. C4×C8×D71C22semidirect
188. #542×C71C22semidirect
189. #540×C71C22semidirect
190. #501×C71C22semidirect
191. #496×C71C22semidirect
192. #488×C71C22semidirect
193. #486×C71C22semidirect
194. #469×C71C22semidirect
195. #468×C71C22semidirect
196. #466×C71C22semidirect
197. #465×C71C22semidirect
198. #442×C71C22semidirect
199. #440×C71C22semidirect
200. C4×SD16×C71C22semidirect
201. C4×D8×C71C22semidirect
202. #405×C71C22semidirect
562. D568#41semidirect
907. #3179D71semidirect
919. C71#61496semidirect
948. #542C2×D71semidirect
950. #540C2×D71semidirect
969. #501C2×D71semidirect
972. #496C2×D71semidirect
975. #488C2×D71semidirect
979. #486C2×D71semidirect
1005. #469C2×D71semidirect
1007. #468C2×D71semidirect
1009. #466C2×D71semidirect
1015. #465C2×D71semidirect
1047. #442C2×D71semidirect
1053. #440C2×D71semidirect
1059. C4×SD16C2×D71semidirect
1069. C4×D8C2×D71semidirect
1089. #405C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226023872
#226023702
#226013572
#226012362
#226009862
#226009722
#226009302
#226008242
#226008202
#226002632
#226001892
#226001852
#226001632
#226001592
#226001482
#225999372
#225998272
#225998192
#225990272
#225988962
#225985372
#225985332
#225985222
#225985182
#225984372
#225984292
#225973112
#225971742
#225971672
C4×D8×D712
C71×#31792
#6149671