Finite Group Databasebeta

← #13561791

Subgroups — #13561791

Order 1792.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2488C211yesmaximal, characteristic, complemented
2#11740310C211yesmaximal, characteristic
3#11740289C211yesmaximal, characteristic, complemented
4#11740256C211yesmaximal, characteristic, complemented
5#11740209C211yesmaximal, characteristic, complemented
6#11735744C211yesmaximal, characteristic, complemented
7#11735730C211yesmaximal, characteristic, complemented
8#11735706C211yesmaximal, characteristic, complemented
9#11735700C211yesmaximal, characteristic, complemented
10#11735166C211yesmaximal, characteristic, complemented
11#11735059C211yesmaximal, characteristic, complemented
12#11734324C211yesmaximal, characteristic, complemented
13#11734278C211yesmaximal, characteristic, complemented
14#11734100C211yesmaximal, characteristic, complemented
15#11734030C211yesmaximal, characteristic, complemented
16#11733240C211yesmaximal, characteristic, complemented
17#11733235C211yesmaximal, characteristic, complemented
18#11733211C211yesmaximal, characteristic, complemented
19#11733124C211yesmaximal, characteristic, complemented
20#11732314C211yesmaximal, characteristic
21#11732189C211yesmaximal, characteristic, complemented
22#11732154C211yesmaximal, characteristic, complemented
23#11732111C211yesmaximal, characteristic
24#11731696C211yesmaximal, characteristic, complemented
25#11731647C211yesmaximal, characteristic, complemented
26#11731535C211yesmaximal, characteristic, complemented
27#11731510C211yesmaximal, characteristic, complemented
28#11730966C211yesmaximal, characteristic, complemented
29#11730892C211yesmaximal, characteristic, complemented
30#11730797C211yesmaximal, characteristic, complemented
31C2×#89425C211yesmaximal, characteristic, complemented
32C2×C7×#123C2211yescharacteristic
33C2×C7×C22⋊Q8C2211yescharacteristic
34C2×#6509C2211yescharacteristic
35C2×#6507C2211yescharacteristic
36C2×#6502C2211yescharacteristic
37C2×D4×Dic7C2211yescharacteristic
38C2×#6492C2211yescharacteristic
39C22×C4⋊Dic7C2211yescharacteristic
40C2×#6487C2211yescharacteristic
41C22×Dic7⋊C4C2211yescharacteristic
42C22×C4×Dic7C2211yescharacteristic
43C2×#6448C2211yescharacteristic
44C2×(C22⋊D7)⋊C4C2211yescharacteristic
45C2×#6441C2211yescharacteristic
46C2×#6441C2211yescharacteristic
47C7×#400C2211yescharacteristic
48C7×#400C2211yescharacteristic
49C7×#397C2211yescharacteristic
50C7×#393C2211yescharacteristic
51C7×#391C2211yescharacteristic
52C7×#388C2211yescharacteristic
53C7×#388C2211yescharacteristic
54C7×#386C2211yescharacteristic
55C7×#386C2211yescharacteristic
56C7×#382C2211yescharacteristic
57C7×#381C2211yescharacteristic
58C4×C7×C22⋊C4C2211yescharacteristic
59C2×C7×#95C2211yescharacteristic
60#90002C2211yescharacteristic
61#90001C2211yescharacteristic
62#89992C2211yescharacteristic
63#89992C2211yescharacteristic
64#89985C2211yescharacteristic
65#89985C2211yescharacteristic
66#89983C2211yescharacteristic
67C4×C22⋊Dic7C2211yescharacteristic
68C2×C7⋊#95C2211yescharacteristic
69C2×C7⋊#95C2211yescharacteristic
70C2×C7⋊#95C2211yescharacteristic
71#89766C2211yescharacteristic
72#89766C2211yescharacteristic
73#89766C2211yescharacteristic
74#89764C2211yescharacteristic
75#89761C2211yescharacteristic
76#89758C2211yescharacteristic
77#89756C2211yescharacteristic
78#89756C2211yescharacteristic
79#89756C2211yescharacteristic
80#89755C2211yescharacteristic
81#89750C2211yescharacteristic
82#89750C2211yescharacteristic
83#89750C2211yescharacteristic
84#89748C2211yescharacteristic
85#89746C2211yescharacteristic
86#89745C2211yescharacteristic
87#89744C2211yescharacteristic
88#89744C2211yescharacteristic
89#89744C2211yescharacteristic
90#89744C2211yescharacteristic
91#89733C2211yescharacteristic
92#89733C2211yescharacteristic
93#89730C2211yescharacteristic
94#89730C2211yescharacteristic
95#89730C2211yescharacteristic
96#89729C2211yescharacteristic
97#89728C2211yescharacteristic
98#89725C2211yescharacteristic
99#89724C2211yescharacteristic
100#89724C2211yescharacteristic
101#89724C2211yescharacteristic
102#89723C2211yescharacteristic
103#89723C2211yescharacteristic
104#89722C2211yescharacteristic
105#89722C2211yescharacteristic
106#89721C2211yescharacteristic
107#89720C2211yescharacteristic
108#89720C2211yescharacteristic
109#89720C2211yescharacteristic
110#89718C2211yescharacteristic
111#89718C2211yescharacteristic
112#89718C2211yescharacteristic
113#89718C2211yescharacteristic
114#89718C2211yescharacteristic
115#89717C2211yescharacteristic
116#89716C2211yescharacteristic
117#89716C2211yescharacteristic
118#89715C2211yescharacteristic
119#89714C2211yescharacteristic
120#89714C2211yescharacteristic
121#89714C2211yescharacteristic
122#89714C2211yescharacteristic
123#89712C2211yescharacteristic
124#89712C2211yescharacteristic
125#89709C2211yescharacteristic
126#89705C2211yescharacteristic
127#89705C2211yescharacteristic
128#89705C2211yescharacteristic
129#89701C2211yescharacteristic
130#89700C2211yescharacteristic
131#89447C2211yescharacteristic
132#89447C2211yescharacteristic
133#89447C2211yescharacteristic
134#89447C2211yescharacteristic
135#89446C2211yescharacteristic
136#89445C2211yescharacteristic
137#89442C2211yescharacteristic
138#89442C2211yescharacteristic
139#89441C2211yescharacteristic
140#89441C2211yescharacteristic
141#89441C2211yescharacteristic
142#89440C2211yescharacteristic
143#89440C2211yescharacteristic
144#89436C2211yescharacteristic
145C7⋊#401C2211yescharacteristic
146C7⋊#401C2211yescharacteristic
147#89433C2211yescharacteristic
148#89433C2211yescharacteristic
149#89432C2211yescharacteristic
150#89432C2211yescharacteristic
151#89432C2211yescharacteristic
152#89431C2211yescharacteristic
153#89430C2211yescharacteristic
154#89430C2211yescharacteristic
155#89430C2211yescharacteristic
156#89429C2211yescharacteristic
157#89429C2211yescharacteristic
158#89429C2211yescharacteristic
159#89429C2211yescharacteristic
160#89428C2211yescharacteristic
161#89428C2211yescharacteristic
162#89428C2211yescharacteristic
163#89427C2211yescharacteristic
164#89427C2211yescharacteristic
165#89427C2211yescharacteristic
166#89427C2211yescharacteristic
167#89426C2211yescharacteristic
168#89426C2211yescharacteristic
169#89425C2211yescharacteristic
170#89425C2211yescharacteristic
171#89425C2211yescharacteristic
172#89425C2211yescharacteristic
173#89425C2211yescharacteristic
174#89425C2211yescharacteristic
175#89425C2211yescharacteristic
176#89425C2211yescharacteristic
177#89424C2211yescharacteristic
178#89424C2211yescharacteristic
179#89423C2211yescharacteristic
180#89422C2211yescharacteristic
181#89422C2211yescharacteristic
182#89419C2211yescharacteristic
183#89419C2211yescharacteristic
184#89418C2211yescharacteristic
185#89418C2211yescharacteristic
186#89418C2211yescharacteristic
187#36764—71nomaximal, Sylow
188C22×C7×Q8C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C23×Dic7C2311yescharacteristic
196C23×Dic7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C22×C4×D7C2311yescharacteristic
201C22×Dic14C2311yescharacteristic
202C22×Dic14C2311yescharacteristic
203C7×#123—42no—
204C7×C22⋊Q8—42no—
205C2×C7×C4⋊C4C2311yescharacteristic
206C2×C7×C4⋊C4C2311yescharacteristic
207C2×C7×C4⋊C4C2311yescharacteristic
208C2×C7×C4⋊C4C2311yescharacteristic
209C2×C7×C4⋊C4C2311yescharacteristic
210C2×C7×C22⋊C4C2311yescharacteristic
211C2×C7×C22⋊C4C2311yescharacteristic
212C2×C7×C22⋊C4C2311yescharacteristic
213C2×C7×C22⋊C4C2311yescharacteristic
214C2×C7×C22⋊C4C2311yescharacteristic
215C2×C7×C22⋊C4C2311yescharacteristic
216C2×C7×C22⋊C4C2311yescharacteristic
217C2×C7×C22⋊C4C2311yescharacteristic
218C2×C7×C22⋊C4C2311yescharacteristic
219C2×C42×C7C2311yescharacteristic
220C2×C42×C7C2311yescharacteristic
221C2×C22⋊Dic7C2311yescharacteristic
222C2×C22⋊Dic7C2311yescharacteristic
223C2×C22⋊Dic7C2311yescharacteristic
224C2×C22⋊Dic7C2311yescharacteristic
225C2×C22⋊Dic7C2311yescharacteristic
226C2×C22⋊Dic7C2311yescharacteristic
227C2×C22⋊Dic7C2311yescharacteristic
228C2×C22⋊Dic7C2311yescharacteristic
229C2×C22⋊Dic7C2311yescharacteristic
230#6509—42no—
231#6507—42no—
232#6502—24no—
233D4×Dic7—42no—
234#6492—42no—
235C2×(C2×D7)⋊C4C2311yescharacteristic
236C2×(C2×D7)⋊C4C2311yescharacteristic
237C2×(C2×D7)⋊C4C2311yescharacteristic
238C2×(C2×D7)⋊C4C2311yescharacteristic
239C2×(C2×D7)⋊C4C2311yescharacteristic
240C2×(C2×D7)⋊C4C2311yescharacteristic
241C2×(C2×D7)⋊C4C2311yescharacteristic
242C2×(C2×D7)⋊C4C2311yescharacteristic
243C2×(C2×D7)⋊C4C2311yescharacteristic
244C2×(C2×D7)⋊C4C2311yescharacteristic
245C2×(C2×D7)⋊C4C2311yescharacteristic
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×C4⋊Dic7—24no—
248C2×C4⋊Dic7C2311yescharacteristic
249C2×C4⋊Dic7C2311yescharacteristic
250C2×C4⋊Dic7C2311yescharacteristic
251C2×C4⋊Dic7C2311yescharacteristic
252C2×C4⋊Dic7C2311yescharacteristic
253C2×C4⋊Dic7C2311yescharacteristic
254C2×C4⋊Dic7C2311yescharacteristic
255C2×C4⋊Dic7C2311yescharacteristic
256C2×C4⋊Dic7C2311yescharacteristic
257C2×C4⋊Dic7C2311yescharacteristic
258C2×C4⋊Dic7C2311yescharacteristic
259#6487—42no—
260C2×Dic7⋊C4—42no—
261C2×Dic7⋊C4C2311yescharacteristic
262C2×Dic7⋊C4C2311yescharacteristic
263C2×Dic7⋊C4C2311yescharacteristic
264C2×Dic7⋊C4C2311yescharacteristic
265C2×Dic7⋊C4C2311yescharacteristic
266C2×Dic7⋊C4C2311yescharacteristic
267C2×Dic7⋊C4C2311yescharacteristic
268C2×Dic7⋊C4C2311yescharacteristic
269C2×Dic7⋊C4C2311yescharacteristic
270C2×Dic7⋊C4C2311yescharacteristic
271C2×Dic7⋊C4C2311yescharacteristic
272C2×Dic7⋊C4C2311yescharacteristic
273C2×Dic7⋊C4C2311yescharacteristic
274C2×Dic7⋊C4C2311yescharacteristic
275C2×Dic7⋊C4C2311yescharacteristic
276C2×Dic7⋊C4C2311yescharacteristic
277C2×Dic7⋊C4C2311yescharacteristic
278C2×Dic7⋊C4C2311yescharacteristic
279C2×Dic7⋊C4C2311yescharacteristic
280C2×Dic7⋊C4C2311yescharacteristic
281C2×Dic7⋊C4C2311yescharacteristic
282C2×Dic7⋊C4C2311yescharacteristic
283C2×Dic7⋊C4C2311yescharacteristic
284C2×Dic7⋊C4C2311yescharacteristic
285C2×C4×Dic7—42no—
286C2×C4×Dic7C2311yescharacteristic
287C2×C4×Dic7C2311yescharacteristic
288C2×C4×Dic7C2311yescharacteristic
289C2×C4×Dic7C2311yescharacteristic
290C2×C4×Dic7C2311yescharacteristic
291C2×C4×Dic7C2311yescharacteristic
292C2×C4×Dic7C2311yescharacteristic
293C2×C4×Dic7C2311yescharacteristic
294#6448—42no—
295(C22⋊D7)⋊C4—42no—
296#6441—24no—
297#6441—42no—
298C7×#95C2311yescharacteristic
299C7×#95C2311yescharacteristic
300C7×#95C2311yescharacteristic
301C7×#95C2311yescharacteristic
302C7×#95C2311yescharacteristic
303C7×#95C2311yescharacteristic
304C7×#95C2311yescharacteristic
305C7×#95C2311yescharacteristic
306C7×#95C2311yescharacteristic
307C7×#95C2311yescharacteristic
308C7×#95C2311yescharacteristic
309C7×#95C2311yescharacteristic
310C7×#95C2311yescharacteristic
311C7×#95C2311yescharacteristic
312C7⋊#95C2311yescharacteristic
313C7⋊#95C2311yescharacteristic
314C7⋊#95C2311yescharacteristic
315C7⋊#95C2311yescharacteristic
316C7⋊#95C2311yescharacteristic
317C7⋊#95C2311yescharacteristic
318C7⋊#95C2311yescharacteristic
319C7⋊#95C2311yescharacteristic
320C7⋊#95C2311yescharacteristic
321C7⋊#95C2311yescharacteristic
322C7⋊#95C2311yescharacteristic
323C7⋊#95C2311yescharacteristic
324C7⋊#95C2311yescharacteristic
325C7⋊#95C2311yescharacteristic
326C7⋊#95C2311yescharacteristic
327C7⋊#95C2311yescharacteristic
328C7⋊#95C2311yescharacteristic
329C7⋊#95C2311yescharacteristic
330C7⋊#95C2311yescharacteristic
331C7⋊#95C2311yescharacteristic
332C7⋊#95C2311yescharacteristic
333C7⋊#95C2311yescharacteristic
334C7⋊#95C2311yescharacteristic
335C7⋊#95C2311yescharacteristic
336C7⋊#95C2311yescharacteristic
337C7⋊#95C2311yescharacteristic
338C7⋊#95C2311yescharacteristic
339C7⋊#95C2311yescharacteristic
340C7⋊#95C2311yescharacteristic
341C7⋊#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358#2857—71no—
359#2850—71no—
360#2796—71no—
361#2796—71no—
362#2793—71no—
363#2793—71no—
364#2777—71no—
365#2777—71no—
366#2765—71no—
367#2765—71no—
368#2762—71no—
369#2762—71no—
370#2755—71no—
371#2755—71no—
372#2729—71no—
373#2729—71no—
374#2700—71no—
375#2700—71no—
376#2627—71no—
377#2618—71no—
378#2510—71no—
379#2510—71no—
380#2488—71no—
381#2488D711yescharacteristic, complemented
382#2449—71no—
383#2449—71no—
384#2419—71no—
385#2419—71no—
386#2329—71no—
387#2325—71no—
388C2×#387—71no—
389C24×C7C2411yescharacteristic
390C24×C7C2411yescharacteristic
391C23×D7C2411yescharacteristic
392C2×C7×Q8—22no—
393C2×C7×Q8—41no—
394C2×C7×Q8—41no—
395C2×C7×D4—22no—
396C2×C7×D4—22no—
397C2×C7×D4—22no—
398C22×C4×C7—22no—
399C22×C4×C7—22no—
400C22×C4×C7—22no—
401C22×C4×C7—22no—
402C22×C4×C7—22no—
403C22×C4×C7—22no—
404C22×C4×C7—41no—
405C22×C4×C7—41no—
406C22×C4×C7—41no—
407C22×C4×C7C2411yescharacteristic
408C22×C4×C7C2411yescharacteristic
409C22×C4×C7C2411yescharacteristic
410C22×C4×C7C2411yescharacteristic
411C22×C4×C7C2411yescharacteristic
412C22×C4×C7C2411yescharacteristic
413C22×C4×C7C2411yescharacteristic
414C22×C4×C7C2411yescharacteristic
415C22×C4×C7C2411yescharacteristic
416C22×C4×C7C2411yescharacteristic
417C22×C4×C7C2411yescharacteristic
418C22×C4×C7C2411yescharacteristic
419C22×C4×C7C2411yescharacteristic
420C2×C22⋊D7—22no—
421C2×C22⋊D7—22no—
422C2×C22⋊D7—22no—
423C2×C22⋊D7—22no—
424C2×C22⋊D7—41no—
425C2×C22⋊D7—41no—
426C22×Dic7—22no—
427C22×Dic7—22no—
428C22×Dic7—22no—
429C22×Dic7—22no—
430C22×Dic7—41no—
431C22×Dic7—41no—
432C22×Dic7—41no—
433C22×Dic7—41no—
434C22×Dic7—41no—
435C22×Dic7—41no—
436C22×Dic7—41no—
437C22×Dic7—41no—
438C22×Dic7—41no—
439C22×Dic7—41no—
440C22×Dic7#4114yes—
441C22×Dic7C2411yescharacteristic
442C22×Dic7C2411yescharacteristic
443C22×Dic7C2411yescharacteristic
444C22×Dic7C2411yescharacteristic
445C22×Dic7C2411yescharacteristic
446C22×Dic7C2411yescharacteristic
447C22×Dic7C2411yescharacteristic
448C22×Dic7C2411yescharacteristic
449C22×Dic7C2411yescharacteristic
450C22×Dic7C2411yescharacteristic
451C22×Dic7C2411yescharacteristic
452C22×Dic7C2411yescharacteristic
453C22×Dic7C2411yescharacteristic
454C22×Dic7C2411yescharacteristic
455C22×Dic7C2411yescharacteristic
456C2×C4×D7—41no—
457C2×C4×D7—41no—
458C2×C4×D7—41no—
459C2×Dic14—22no—
460C2×Dic14—22no—
461C2×Dic14—41no—
462C2×Dic14—41no—
463C2×Dic14—41no—
464C2×Dic14—41no—
465C7×C4⋊C4—41no—
466C7×C4⋊C4—41no—
467C7×C4⋊C4—41no—
468C7×C4⋊C4—41no—
469C7×C4⋊C4—41no—
470C7×C22⋊C4—22no—
471C7×C22⋊C4—22no—
472C7×C22⋊C4—22no—
473C7×C22⋊C4—22no—
474C7×C22⋊C4—41no—
475C7×C22⋊C4—41no—
476C7×C22⋊C4—41no—
477C7×C22⋊C4—41no—
478C7×C22⋊C4—41no—
479C42×C7—41no—
480C42×C7—41no—
481C22⋊Dic7—22no—
482C22⋊Dic7—22no—
483C22⋊Dic7—22no—
484C22⋊Dic7—22no—
485C22⋊Dic7—22no—
486C22⋊Dic7—41no—
487C22⋊Dic7—41no—
488C22⋊Dic7—41no—
489C22⋊Dic7—41no—
490(C2×D7)⋊C4—22no—
491(C2×D7)⋊C4—22no—
492(C2×D7)⋊C4—22no—
493(C2×D7)⋊C4—41no—
494(C2×D7)⋊C4—41no—
495(C2×D7)⋊C4—41no—
496(C2×D7)⋊C4—41no—
497(C2×D7)⋊C4—41no—
498(C2×D7)⋊C4—41no—
499(C2×D7)⋊C4—41no—
500(C2×D7)⋊C4—41no—
501(C2×D7)⋊C4—41no—
502C4⋊Dic7—22no—
503C4⋊Dic7—22no—
504C4⋊Dic7—22no—
505C4⋊Dic7—22no—
506C4⋊Dic7—22no—
507C4⋊Dic7—41no—
508C4⋊Dic7—41no—
509C4⋊Dic7—41no—
510C4⋊Dic7—41no—
511C4⋊Dic7—41no—
512C4⋊Dic7—41no—
513Dic7⋊C4—22no—
514Dic7⋊C4—22no—
515Dic7⋊C4—22no—
516Dic7⋊C4—22no—
517Dic7⋊C4—22no—
518Dic7⋊C4—22no—
519Dic7⋊C4—22no—
520Dic7⋊C4—41no—
521Dic7⋊C4—41no—
522Dic7⋊C4—41no—
523Dic7⋊C4—41no—
524Dic7⋊C4—41no—
525Dic7⋊C4—41no—
526Dic7⋊C4—41no—
527Dic7⋊C4—41no—
528Dic7⋊C4—41no—
529Dic7⋊C4—41no—
530Dic7⋊C4—41no—
531Dic7⋊C4—41no—
532Dic7⋊C4—41no—
533Dic7⋊C4—41no—
534Dic7⋊C4—41no—
535Dic7⋊C4—41no—
536Dic7⋊C4—41no—
537C4×Dic7—22no—
538C4×Dic7—22no—
539C4×Dic7—41no—
540C4×Dic7—41no—
541C4×Dic7—41no—
542C4×Dic7—41no—
543C4×Dic7—41no—
544C4×Dic7—41no—
545C2×C4⋊Q8—71no—
546C2×#124—71no—
547C2×#123—71no—
548C2×#123C2×D711yescharacteristic
549C2×C22⋊Q8—71no—
550C2×C22⋊Q8—71no—
551C2×C22⋊Q8—71no—
552C2×C22⋊Q8—71no—
553C2×C22⋊Q8C2×D711yescharacteristic
554C2×#121—71no—
555C2×C4×D4—71no—
556C2×C4×D4—71no—
557C22×C4⋊C4—71no—
558C22×C4⋊C4—71no—
559C22×C42—71no—
560#401—71no—
561#401—71no—
562#400—71no—
563#400—71no—
564#400—71no—
565#400—71no—
566#400—71no—
567#400—71no—
568#400—71no—
569#400—71no—
570#400C2×D711yescharacteristic
571#400C2×D711yescharacteristic
572#399—71no—
573#399—71no—
574#398—71no—
575#398—71no—
576#398—71no—
577#398—71no—
578#398—71no—
579#398—71no—
580#398—71no—
581#398—71no—
582#398—71no—
583#398—71no—
584#397—71no—
585#397—71no—
586#397—71no—
587#397—71no—
588#397—71no—
589#397—71no—
590#397—71no—
591#397—71no—
592#397—71no—
593#397C2×D711yescharacteristic
594#396—71no—
595#396—71no—
596#396—71no—
597#396—71no—
598#396—71no—
599#396—71no—
600#395—71no—
601#395—71no—
602#395—71no—
603#395—71no—
604#394—71no—
605#394—71no—
606#393—71no—
607#393C2×D711yescharacteristic
608#391—71no—
609#391—71no—
610#391—71no—
611#391—71no—
612#391—71no—
613#391—71no—
614#391C2×D711yescharacteristic
615#390—71no—
616#389—71no—
617#389—71no—
618#389—71no—
619#389—71no—
620#389—71no—
621#389—71no—
622#389—71no—
623#389—71no—
624#388—71no—
625#388—71no—
626#388—71no—
627#388—71no—
628#388—71no—
629#388—71no—
630#388—71no—
631#388—71no—
632#388—71no—
633#388—71no—
634#388—71no—
635#388—71no—
636#388C2×D711yescharacteristic
637#388C2×D711yescharacteristic
638#387—71no—
639#387—71no—
640#387—71no—
641#387—71no—
642#387—71no—
643#387—71no—
644#387—71no—
645#387—71no—
646#387—71no—
647#387—71no—
648#387—71no—
649#387—71no—
650#387—71no—
651#387—71no—
652#387—71no—
653#387—71no—
654#387—71no—
655#387—71no—
656#387—71no—
657#387—71no—
658#387—71no—
659#387—71no—
660#386—71no—
661#386—71no—
662#386—71no—
663#386—71no—
664#386—71no—
665#386—71no—
666#386—71no—
667#386—71no—
668#386C2×D711yescharacteristic
669#386C2×D711yescharacteristic
670#385—71no—
671#385—71no—
672#385—71no—
673#385—71no—
674#385—71no—
675#385—71no—
676#385—71no—
677#385—71no—
678#385—71no—
679#385—71no—
680#384—71no—
681#383—71no—
682#383—71no—
683#382—71no—
684#382—71no—
685#382C2×D711yescharacteristic
686#381—71no—
687#381—71no—
688#381—71no—
689#381C2×D711yescharacteristic
690#380—71no—
691#380—71no—
692#380—71no—
693#380—71no—
694C4×C22⋊C4—71no—
695C4×C22⋊C4C2×D711yescharacteristic
696C2×#95—71no—
697C2×#95—71no—
698C2×#95—71no—
699C2×#95C2×D711yescharacteristic
700C23×C7—21no—
701C23×C7—21no—
702C23×C7—21no—
703C23×C7—21no—
704C23×C7—21no—
705C23×C7—21no—
706C23×C7—21no—
707C23×C7—21no—
708C23×C7—21no—
709C23×C7—21no—
710C23×C7—21no—
711C23×C7C2×#4112yes—
712C23×C7H(5,𝔽2)12yes—
713C23×C72−1+412yes—
714C23×C7C2511yescharacteristic
715C22×D7—21no—
716C22×D7—21no—
717C22×D7—21no—
718C22×D7—21no—
719C22×D7—21no—
720C22×D7—21no—
721C22×D7—21no—
722C7×Q8—82no—
723C7×D4—44no—
724C2×C4×C7—21no—
725C2×C4×C7—21no—
726C2×C4×C7—21no—
727C2×C4×C7—21no—
728C2×C4×C7—21no—
729C2×C4×C7—21no—
730C2×C4×C7—21no—
731C2×C4×C7—21no—
732C2×C4×C7—21no—
733C2×C4×C7—21no—
734C2×C4×C7—21no—
735C2×C4×C7—21no—
736C2×C4×C7—21no—
737C2×C4×C7—21no—
738C2×C4×C7—21no—
739C2×C4×C7—21no—
740C2×C4×C7—21no—
741C2×C4×C7—21no—
742C2×C4×C7—21no—
743C2×C4×C7—21no—
744C2×C4×C7—21no—
745C2×C4×C7—21no—
746C2×C4×C7—21no—
747C2×C4×C7—21no—
748C2×C4×C7—21no—
749C2×C4×C7—21no—
750C2×C4×C7—21no—
751C2×C4×C7—21no—
752C2×C4×C7—21no—
753C2×C4×C7—21no—
754C2×C4×C7—21no—
755C2×C4×C7—21no—
756C2×C4×C7—21no—
757C2×C4×C7—21no—
758C2×C4×C7—21no—
759C2×C4×C7—21no—
760C2×C4×C7—21no—
761C2×C4×C7—21no—
762C2×C4×C7—44no—
763C2×C4×C7—44no—
764C2×C4×C7—82no—
765C2×C4×C7H(5,𝔽2)12yes—
766C22⋊D7—44no—
767C22⋊D7—82no—
768C2×Dic7—21no—
769C2×Dic7—21no—
770C2×Dic7—21no—
771C2×Dic7—21no—
772C2×Dic7—21no—
773C2×Dic7—21no—
774C2×Dic7—21no—
775C2×Dic7—21no—
776C2×Dic7—21no—
777C2×Dic7—21no—
778C2×Dic7—21no—
779C2×Dic7—21no—
780C2×Dic7—21no—
781C2×Dic7—21no—
782C2×Dic7—21no—
783C2×Dic7—21no—
784C2×Dic7—21no—
785C2×Dic7—21no—
786C2×Dic7—21no—
787C2×Dic7—21no—
788C2×Dic7—21no—
789C2×Dic7—21no—
790C2×Dic7—21no—
791C2×Dic7—21no—
792C2×Dic7—21no—
793C2×Dic7—21no—
794C2×Dic7—21no—
795C2×Dic7—21no—
796C2×Dic7—21no—
797C2×Dic7—21no—
798C2×Dic7—21no—
799C2×Dic7—21no—
800C2×Dic7—21no—
801C2×Dic7—21no—
802C2×Dic7—21no—
803C2×Dic7—21no—
804C2×Dic7—21no—
805C2×Dic7—21no—
806C2×Dic7—21no—
807C2×Dic7—21no—
808C2×Dic7—21no—
809C2×Dic7—21no—
810C2×Dic7—44no—
811C2×Dic7—44no—
812C2×Dic7—44no—
813C2×Dic7—82no—
814C2×Dic7—82no—
815C2×Dic7C2×#4112yes—
816C2×Dic7C2×#4112yes—
817C2×Dic72−1+412yes—
818C4×D7—82no—
819Dic14—82no—
820Dic14—82no—
821C22×Q8—71no—
822C22×Q8—71no—
823C22×Q8C22×D711yescharacteristic
824C22×D4—71no—
825C22×D4—71no—
826C22×D4C22×D711yescharacteristic
827C23×C4—71no—
828C23×C4—71no—
829C23×C4—71no—
830C23×C4—71no—
831C23×C4—71no—
832C23×C4—71no—
833C23×C4C22×D711yescharacteristic
834C23×C4C22×D711yescharacteristic
835C23×C4C22×D711yescharacteristic
836C4⋊Q8—282no—
837#124—282no—
838#123—42no—
839#123—282no—
840C22⋊Q8—42no—
841C22⋊Q8—144no—
842C22⋊Q8—282no—
843C22⋊Q8—282no—
844C22⋊Q8—282no—
845#121—144no—
846C4×D4—282no—
847C4×D4—282no—
848C2×C4⋊C4—71no—
849C2×C4⋊C4—71no—
850C2×C4⋊C4—71no—
851C2×C4⋊C4—71no—
852C2×C4⋊C4—71no—
853C2×C4⋊C4—71no—
854C2×C4⋊C4—71no—
855C2×C4⋊C4—71no—
856C2×C4⋊C4—71no—
857C2×C4⋊C4—71no—
858C2×C4⋊C4—71no—
859C2×C4⋊C4—71no—
860C2×C4⋊C4—71no—
861C2×C4⋊C4—71no—
862C2×C4⋊C4—71no—
863C2×C4⋊C4—71no—
864C2×C4⋊C4—71no—
865C2×C4⋊C4—71no—
866C2×C4⋊C4—71no—
867C2×C4⋊C4—71no—
868C2×C4⋊C4—71no—
869C2×C4⋊C4—71no—
870C2×C4⋊C4—71no—
871C2×C4⋊C4—71no—
872C2×C4⋊C4—71no—
873C2×C4⋊C4—71no—
874C2×C4⋊C4—71no—
875C2×C4⋊C4—71no—
876C2×C4⋊C4—71no—
877C2×C4⋊C4—71no—
878C2×C4⋊C4—71no—
879C2×C4⋊C4—71no—
880C2×C4⋊C4—71no—
881C2×C4⋊C4—71no—
882C2×C4⋊C4—71no—
883C2×C4⋊C4—144no—
884C2×C4⋊C4—282no—
885C2×C4⋊C4C22×D711yescharacteristic
886C2×C4⋊C4C22×D711yescharacteristic
887C2×C4⋊C4C22×D711yescharacteristic
888C2×C4⋊C4C22×D711yescharacteristic
889C2×C4⋊C4C22×D711yescharacteristic
890C2×C22⋊C4—71no—
891C2×C22⋊C4—71no—
892C2×C22⋊C4—71no—
893C2×C22⋊C4—71no—
894C2×C22⋊C4—71no—
895C2×C22⋊C4—71no—
896C2×C22⋊C4—71no—
897C2×C22⋊C4—71no—
898C2×C22⋊C4—71no—
899C2×C22⋊C4—71no—
900C2×C22⋊C4—71no—
901C2×C22⋊C4—71no—
902C2×C22⋊C4—71no—
903C2×C22⋊C4—71no—
904C2×C22⋊C4—71no—
905C2×C22⋊C4—71no—
906C2×C22⋊C4—71no—
907C2×C22⋊C4—71no—
908C2×C22⋊C4—71no—
909C2×C22⋊C4—71no—
910C2×C22⋊C4—71no—
911C2×C22⋊C4C22×D711yescharacteristic
912C2×C22⋊C4C22×D711yescharacteristic
913C2×C22⋊C4C22×D711yescharacteristic
914C2×C22⋊C4C22×D711yescharacteristic
915C2×C22⋊C4C22×D711yescharacteristic
916C2×C22⋊C4C22×D711yescharacteristic
917C2×C22⋊C4C22×D711yescharacteristic
918C2×C22⋊C4C22×D711yescharacteristic
919C2×C22⋊C4C22×D711yescharacteristic
920C2×C42—71no—
921C2×C42—71no—
922C2×C42—71no—
923C2×C42—71no—
924C2×C42—71no—
925C2×C42—71no—
926C2×C42—71no—
927C2×C42—71no—
928C2×C42—282no—
929C2×C42C22×D711yescharacteristic
930C2×C42C22×D711yescharacteristic
931#95—71no—
932#95—71no—
933#95—71no—
934#95—71no—
935#95—71no—
936#95—71no—
937#95—71no—
938#95—71no—
939#95—71no—
940#95—71no—
941#95—71no—
942#95—71no—
943#95—71no—
944#95—71no—
945#95—71no—
946#95—71no—
947#95—71no—
948#95—71no—
949#95—71no—
950#95—71no—
951#95—71no—
952#95—71no—
953#95—71no—
954#95—71no—
955#95—71no—
956#95—71no—
957#95—71no—
958#95—71no—
959#95—71no—
960#95—71no—
961#95—71no—
962#95—71no—
963#95—71no—
964#95—71no—
965#95—71no—
966#95—71no—
967#95—71no—
968#95—71no—
969#95—71no—
970#95—71no—
971#95—71no—
972#95—71no—
973#95—71no—
974#95—71no—
975#95—71no—
976#95—71no—
977#95C22×D711yescharacteristic
978#95C22×D711yescharacteristic
979#95C22×D711yescharacteristic
980#95C22×D711yescharacteristic
981#95C22×D711yescharacteristic
982#95C22×D711yescharacteristic
983#95C22×D711yescharacteristic
984#95C22×D711yescharacteristic
985#95C22×D711yescharacteristic
986#95C22×D711yescharacteristic
987#95C22×D711yescharacteristic
988#95C22×D711yescharacteristic
989#95C22×D711yescharacteristic
990#95C22×D711yescharacteristic
991C22×C7—22no—
992C22×C7—22no—
993C22×C7—22no—
994C22×C7—22no—
995C22×C7—22no—
996C22×C7—22no—
997C22×C7—41no—
998C22×C7—41no—
999C22×C7—41no—
1000C22×C7—41no—
1001C22×C7—41no—
1002C22×C7—41no—
1003C22×C7—41no—
1004C22×C7#54214yes—
1005C22×C7C22×#4111yescharacteristic
1006C22×C7C2×H(5,𝔽2)11yescharacteristic
1007C22×C7C2×H(5,𝔽2)11yescharacteristic
1008C22×C7C2×2−1+411yescharacteristic
1009C22×C7C2×2−1+411yescharacteristic
1010C22×C7#58511yescharacteristic
1011C22×C7#58511yescharacteristic
1012C2×D7—41no—
1013C2×D7—41no—
1014C2×D7—41no—
1015C2×D7—41no—
1016C2×D7—41no—
1017C2×D7—41no—
1018C2×D7—41no—
1019C4×C7—22no—
1020C4×C7—41no—
1021C4×C7—41no—
1022C4×C7—41no—
1023C4×C7—41no—
1024C4×C7—41no—
1025C4×C7—41no—
1026C4×C7—41no—
1027C4×C7—41no—
1028C4×C7—41no—
1029C4×C7—41no—
1030C4×C7—41no—
1031C4×C7—41no—
1032Dic7—22no—
1033Dic7—22no—
1034Dic7—22no—
1035Dic7—41no—
1036Dic7—41no—
1037Dic7—41no—
1038Dic7—41no—
1039Dic7—41no—
1040Dic7—41no—
1041Dic7—41no—
1042Dic7—41no—
1043Dic7—41no—
1044Dic7—41no—
1045Dic7—41no—
1046Dic7—41no—
1047C24—71no—
1048C24C23×D711yescharacteristic
1049C24C23×D711yescharacteristic
1050C2×Q8—22no—
1051C2×Q8—41no—
1052C2×Q8—41no—
1053C2×Q8—142no—
1054C2×Q8—142no—
1055C2×Q8—281no—
1056C2×Q8—281no—
1057C2×Q8—281no—
1058C2×Q8—281no—
1059C2×D4—22no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—142no—
1063C2×D4—142no—
1064C2×D4—142no—
1065C2×D4—142no—
1066C2×D4—281no—
1067C2×D4—281no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—71no—
1078C22×C4—71no—
1079C22×C4—71no—
1080C22×C4—74no—
1081C22×C4—71no—
1082C22×C4—71no—
1083C22×C4—71no—
1084C22×C4—71no—
1085C22×C4—71no—
1086C22×C4—71no—
1087C22×C4—71no—
1088C22×C4—71no—
1089C22×C4—71no—
1090C22×C4—71no—
1091C22×C4—71no—
1092C22×C4—71no—
1093C22×C4—142no—
1094C22×C4—142no—
1095C22×C4—142no—
1096C22×C4—142no—
1097C22×C4—281no—
1098C22×C4—281no—
1099C22×C4—281no—
1100C22×C4—281no—
1101C22×C4—281no—
1102C22×C4—281no—
1103C22×C4—281no—
1104C22×C4—281no—
1105C22×C4—281no—
1106C22×C4—281no—
1107C22×C4—281no—
1108C22×C4—281no—
1109C22×C4—281no—
1110C22×C4C23×D711yescharacteristic
1111C22×C4C23×D711yescharacteristic
1112C22×C4C23×D711yescharacteristic
1113C22×C4C23×D711yescharacteristic
1114C22×C4C23×D711yescharacteristic
1115C22×C4C23×D711yescharacteristic
1116C22×C4C23×D711yescharacteristic
1117C22×C4C23×D711yescharacteristic
1118C22×C4C23×D711yescharacteristic
1119C22×C4C23×D711yescharacteristic
1120C22×C4C23×D711yescharacteristic
1121C22×C4C23×D711yescharacteristic
1122C22×C4C23×D711yescharacteristic
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—142no—
1129C4⋊C4—142no—
1130C4⋊C4—142no—
1131C4⋊C4—142no—
1132C4⋊C4—142no—
1133C4⋊C4—142no—
1134C4⋊C4—142no—
1135C4⋊C4—142no—
1136C4⋊C4—142no—
1137C4⋊C4—142no—
1138C4⋊C4—142no—
1139C4⋊C4—142no—
1140C4⋊C4—281no—
1141C4⋊C4—281no—
1142C4⋊C4—281no—
1143C4⋊C4—281no—
1144C4⋊C4—281no—
1145C4⋊C4—281no—
1146C4⋊C4—281no—
1147C4⋊C4—281no—
1148C4⋊C4—281no—
1149C4⋊C4—281no—
1150C4⋊C4—281no—
1151C4⋊C4—281no—
1152C4⋊C4—281no—
1153C4⋊C4—281no—
1154C4⋊C4—281no—
1155C4⋊C4—281no—
1156C4⋊C4—281no—
1157C4⋊C4—281no—
1158C4⋊C4—281no—
1159C4⋊C4—281no—
1160C4⋊C4—281no—
1161C4⋊C4—281no—
1162C4⋊C4—281no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—142no—
1173C22⋊C4—142no—
1174C22⋊C4—142no—
1175C22⋊C4—142no—
1176C22⋊C4—142no—
1177C22⋊C4—142no—
1178C22⋊C4—142no—
1179C22⋊C4—142no—
1180C22⋊C4—281no—
1181C22⋊C4—281no—
1182C22⋊C4—281no—
1183C22⋊C4—281no—
1184C22⋊C4—281no—
1185C22⋊C4—281no—
1186C22⋊C4—281no—
1187C22⋊C4—281no—
1188C22⋊C4—281no—
1189C22⋊C4—281no—
1190C22⋊C4—281no—
1191C22⋊C4—281no—
1192C22⋊C4—281no—
1193C42—41no—
1194C42—41no—
1195C42—142no—
1196C42—142no—
1197C42—281no—
1198C42—281no—
1199C42—281no—
1200C42—281no—
1201C42—281no—
1202C42—281no—
1203C2×C7—24no—
1204C2×C7—81no—
1205C2×C7C2×#54211yescharacteristic
1206C2×C7#350511yescharacteristic
1207C2×C7#350711yescharacteristic
1208C2×C7#353411yescharacteristic
1209C2×C7#353811yescharacteristic
1210C2×C7#355911yescharacteristic
1211C2×C7#356411yescharacteristic
1212D7—81no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—141no—
1225C23—141no—
1226C23—141no—
1227C23—141no—
1228C23—141no—
1229C23—141no—
1230C23—141no—
1231C23#654812yes—
1232C23D7×#4112yes—
1233C23#655412yes—
1234C23C24×D711yescharacteristic
1235Q8—82no—
1236Q8—562no—
1237Q8—562no—
1238D4—44no—
1239D4—284no—
1240D4—562no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—44no—
1280C2×C4—44no—
1281C2×C4—72no—
1282C2×C4—72no—
1283C2×C4—72no—
1284C2×C4—82no—
1285C2×C4—141no—
1286C2×C4—141no—
1287C2×C4—141no—
1288C2×C4—141no—
1289C2×C4—141no—
1290C2×C4—141no—
1291C2×C4—141no—
1292C2×C4—141no—
1293C2×C4—141no—
1294C2×C4—141no—
1295C2×C4—141no—
1296C2×C4—141no—
1297C2×C4—141no—
1298C2×C4—141no—
1299C2×C4—141no—
1300C2×C4—141no—
1301C2×C4—141no—
1302C2×C4—141no—
1303C2×C4—141no—
1304C2×C4—141no—
1305C2×C4—141no—
1306C2×C4—141no—
1307C2×C4—141no—
1308C2×C4—141no—
1309C2×C4—141no—
1310C2×C4—141no—
1311C2×C4—141no—
1312C2×C4—141no—
1313C2×C4—141no—
1314C2×C4—141no—
1315C2×C4—141no—
1316C2×C4—141no—
1317C2×C4—141no—
1318C2×C4—141no—
1319C2×C4—141no—
1320C2×C4—141no—
1321C2×C4—141no—
1322C2×C4—141no—
1323C2×C4—141no—
1324C2×C4—141no—
1325C2×C4—141no—
1326C2×C4—141no—
1327C2×C4—284no—
1328C2×C4—284no—
1329C2×C4—284no—
1330C2×C4—562no—
1331C2×C4—562no—
1332C2×C4—562no—
1333C2×C4#655312yes—
1334C7#3676411yescharacteristic, complemented, Sylow
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—281no—
1349C22—281no—
1350C22—281no—
1351C22—281no—
1352C22—281no—
1353C22—281no—
1354C22—281no—
1355C22#9036014yes—
1356C22C2×#654811yescharacteristic
1357C22C2×D7×#4111yescharacteristic
1358C22C2×#655311yescharacteristic
1359C22C2×#655411yescharacteristic
1360C22#9061611yescharacteristic
1361C22#9061811yescharacteristic
1362C22D7×2−1+411yescharacteristic
1363C4—22no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—142no—
1377C4—142no—
1378C4—142no—
1379C4—281no—
1380C4—281no—
1381C4—281no—
1382C4—281no—
1383C4—281no—
1384C4—281no—
1385C4—281no—
1386C4—281no—
1387C4—281no—
1388C4—281no—
1389C4—281no—
1390C4—281no—
1391C2—24no—
1392C2—81no—
1393C2—561no—
1394C2C2×#9036011yescharacteristic
1395C2#1174322611yescharacteristic
1396C2#1174349911yescharacteristic
1397C2#1174371211yescharacteristic
1398C2#1174376311yescharacteristic
1399C2#1174387911yescharacteristic
1400C2#1174393311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2488C2
prime radicalC2×#6502C22
hypercenter#2488D7
hypocenterC7#36764
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
1. C7×#2488C2semidirect
3. #11740289C2semidirect
4. #11740256C2semidirect
5. #11740209C2semidirect
6. #11735744C2semidirect
7. #11735730C2semidirect
8. #11735706C2semidirect
9. #11735700C2semidirect
10. #11735166C2semidirect
11. #11735059C2semidirect
12. #11734324C2semidirect
13. #11734278C2semidirect
14. #11734100C2semidirect
15. #11734030C2semidirect
16. #11733240C2semidirect
17. #11733235C2semidirect
18. #11733211C2semidirect
19. #11733124C2semidirect
21. #11732189C2semidirect
22. #11732154C2semidirect
24. #11731696C2semidirect
25. #11731647C2semidirect
26. #11731535C2semidirect
27. #11731510C2semidirect
28. #11730966C2semidirect
29. #11730892C2semidirect
30. #11730797C2semidirect
31. C2×#89425C2semidirect
381. #2488D7semidirect
1334. C7#36764semidirect

Maximal subgroups

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

subgroupindex
C7×#24882
#117403102
#117402892
#117402562
#117402092
#117357442
#117357302
#117357062
#117357002
#117351662
#117350592
#117343242
#117342782
#117341002
#117340302
#117332402
#117332352
#117332112
#117331242
#117323142
#117321892
#117321542
#117321112
#117316962
#117316472
#117315352
#117315102
#117309662
#117308922
#117307972
C2×#894252
#367647