Finite Group Databasebeta

← #13561794

Subgroups — #13561794

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×#2762C211yesmaximal, characteristic, complemented
2#11735881C211yesmaximal, characteristic, complemented
3#11735876C211yesmaximal, characteristic, complemented
4#11735845C211yesmaximal, characteristic, complemented
5#11735840C211yesmaximal, characteristic, complemented
6#11735805C211yesmaximal, characteristic, complemented
7#11735791C211yesmaximal, characteristic, complemented
8#11735786C211yesmaximal, characteristic, complemented
9#11735744C211yesmaximal, characteristic, complemented
10#11735407C211yesmaximal, characteristic
11#11735321C211yesmaximal, characteristic, complemented
12#11734697C211yesmaximal, characteristic, complemented
13#11734668C211yesmaximal, characteristic, complemented
14#11734109C211yesmaximal, characteristic, complemented
15#11734100C211yesmaximal, characteristic, complemented
16#11734095C211yesmaximal, characteristic, complemented
17#11734074C211yesmaximal, characteristic, complemented
18#11732884C211yesmaximal, characteristic, complemented
19#11732841C211yesmaximal, characteristic, complemented
20#11732766C211yesmaximal, characteristic, complemented
21#11732760C211yesmaximal, characteristic, complemented
22#11732745C211yesmaximal, characteristic, complemented
23#11732743C211yesmaximal, characteristic
24D7×#387C211yesmaximal, characteristic, complemented
25#11732703C211yesmaximal, characteristic, complemented
26#11732679C211yesmaximal, characteristic, complemented
27#11732633C211yesmaximal, characteristic, complemented
28#11731746C211yesmaximal, characteristic, complemented
29#11731735C211yesmaximal, characteristic, complemented
30#11731701C211yesmaximal, characteristic
31#11731648C211yesmaximal, characteristic, complemented
32C2×#6509C2211yescharacteristic
33C2×#6509C2211yescharacteristic
34C2×#6507C2211yescharacteristic
35C2×#6460C2211yescharacteristic
36C2×#6460C2211yescharacteristic
37C2×#6459C2211yescharacteristic
38C2×#6458C2211yescharacteristic
39C2×#6457C2211yescharacteristic
40C2×#6457C2211yescharacteristic
41C2×#6456C2211yescharacteristic
42C2×D7×C4⋊C4C2211yescharacteristic
43C2×D7×C4⋊C4C2211yescharacteristic
44C2×#6438C2211yescharacteristic
45C2×C4×D28C2211yescharacteristic
46C2×C42×D7C2211yescharacteristic
47C7×#401C2211yescharacteristic
48C7×#400C2211yescharacteristic
49C7×#400C2211yescharacteristic
50C7×#400C2211yescharacteristic
51C7×#398C2211yescharacteristic
52C7×#395C2211yescharacteristic
53C7×#391C2211yescharacteristic
54C7×#391C2211yescharacteristic
55C7×#387C2211yescharacteristic
56C7×#387C2211yescharacteristic
57C7×#387C2211yescharacteristic
58C7×#387C2211yescharacteristic
59C7×#387C2211yescharacteristic
60C7×#383C2211yescharacteristic
61C7×#382C2211yescharacteristic
62#90003C2211yescharacteristic
63#89766C2211yescharacteristic
64#89766C2211yescharacteristic
65#89766C2211yescharacteristic
66#89766C2211yescharacteristic
67#89764C2211yescharacteristic
68#89763C2211yescharacteristic
69#89762C2211yescharacteristic
70#89761C2211yescharacteristic
71#89761C2211yescharacteristic
72#89761C2211yescharacteristic
73#89760C2211yescharacteristic
74#89756C2211yescharacteristic
75#89755C2211yescharacteristic
76#89754C2211yescharacteristic
77#89754C2211yescharacteristic
78#89753C2211yescharacteristic
79#89753C2211yescharacteristic
80#89753C2211yescharacteristic
81#89752C2211yescharacteristic
82#89752C2211yescharacteristic
83#89751C2211yescharacteristic
84#89750C2211yescharacteristic
85#89750C2211yescharacteristic
86#89749C2211yescharacteristic
87#89748C2211yescharacteristic
88#89746C2211yescharacteristic
89#89745C2211yescharacteristic
90#89712C2211yescharacteristic
91#89712C2211yescharacteristic
92#89712C2211yescharacteristic
93C4×(C2×D7)⋊C4C2211yescharacteristic
94#89705C2211yescharacteristic
95#89705C2211yescharacteristic
96#89701C2211yescharacteristic
97#89700C2211yescharacteristic
98#89700C2211yescharacteristic
99#89449C2211yescharacteristic
100#89448C2211yescharacteristic
101#89448C2211yescharacteristic
102#89447C2211yescharacteristic
103#89447C2211yescharacteristic
104#89447C2211yescharacteristic
105#89447C2211yescharacteristic
106#89447C2211yescharacteristic
107#89447C2211yescharacteristic
108#89447C2211yescharacteristic
109#89447C2211yescharacteristic
110#89446C2211yescharacteristic
111#89446C2211yescharacteristic
112#89445C2211yescharacteristic
113#89444C2211yescharacteristic
114#89442C2211yescharacteristic
115#89442C2211yescharacteristic
116#89442C2211yescharacteristic
117#89442C2211yescharacteristic
118#89442C2211yescharacteristic
119#89442C2211yescharacteristic
120#89442C2211yescharacteristic
121#89441C2211yescharacteristic
122#89441C2211yescharacteristic
123#89441C2211yescharacteristic
124#89440C2211yescharacteristic
125#89440C2211yescharacteristic
126#89440C2211yescharacteristic
127#89440C2211yescharacteristic
128#89440C2211yescharacteristic
129#89440C2211yescharacteristic
130#89440C2211yescharacteristic
131#89439C2211yescharacteristic
132#89439C2211yescharacteristic
133#89439C2211yescharacteristic
134#89439C2211yescharacteristic
135#89438C2211yescharacteristic
136#89437C2211yescharacteristic
137#89437C2211yescharacteristic
138#89437C2211yescharacteristic
139#89437C2211yescharacteristic
140#89437C2211yescharacteristic
141#89437C2211yescharacteristic
142#89437C2211yescharacteristic
143#89437C2211yescharacteristic
144#89437C2211yescharacteristic
145#89437C2211yescharacteristic
146#89436C2211yescharacteristic
147#89436C2211yescharacteristic
148#89436C2211yescharacteristic
149#89436C2211yescharacteristic
150D7×#95C2211yescharacteristic
151D7×#95C2211yescharacteristic
152D7×#95C2211yescharacteristic
153D7×#95C2211yescharacteristic
154C7⋊#401C2211yescharacteristic
155#89433C2211yescharacteristic
156#89433C2211yescharacteristic
157#89433C2211yescharacteristic
158#89432C2211yescharacteristic
159#89432C2211yescharacteristic
160#89431C2211yescharacteristic
161#89431C2211yescharacteristic
162#89430C2211yescharacteristic
163#89429C2211yescharacteristic
164#89429C2211yescharacteristic
165#89428C2211yescharacteristic
166#89428C2211yescharacteristic
167#89427C2211yescharacteristic
168#89427C2211yescharacteristic
169#89427C2211yescharacteristic
170#89426C2211yescharacteristic
171#89426C2211yescharacteristic
172#89425C2211yescharacteristic
173#89425C2211yescharacteristic
174#89425C2211yescharacteristic
175#89424C2211yescharacteristic
176#89424C2211yescharacteristic
177#89423C2211yescharacteristic
178#89422C2211yescharacteristic
179#89419C2211yescharacteristic
180#89419C2211yescharacteristic
181#89419C2211yescharacteristic
182#89419C2211yescharacteristic
183#89419C2211yescharacteristic
184#89418C2211yescharacteristic
185#89418C2211yescharacteristic
186#89418C2211yescharacteristic
187#36764—71nomaximal, Sylow
188C22×C7×Q8C2311yescharacteristic
189C22×D28C2311yescharacteristic
190C22×D28C2311yescharacteristic
191C22×D28C2311yescharacteristic
192C22×C4×D7C2311yescharacteristic
193C22×C4×D7C2311yescharacteristic
194C22×C4×D7C2311yescharacteristic
195C22×C4×D7C2311yescharacteristic
196C22×C4×D7C2311yescharacteristic
197C22×C4×D7C2311yescharacteristic
198C22×C4×D7C2311yescharacteristic
199C22×C4×D7C2311yescharacteristic
200C22×C4×D7C2311yescharacteristic
201C22×Dic14C2311yescharacteristic
202C22×Dic14C2311yescharacteristic
203C2×C7×C4⋊C4C2311yescharacteristic
204C2×C7×C4⋊C4C2311yescharacteristic
205C2×C7×C4⋊C4C2311yescharacteristic
206C2×C7×C4⋊C4C2311yescharacteristic
207C2×C7×C4⋊C4C2311yescharacteristic
208C2×C7×C4⋊C4C2311yescharacteristic
209C2×C7×C4⋊C4C2311yescharacteristic
210C2×C7×C4⋊C4C2311yescharacteristic
211C2×C7×C4⋊C4C2311yescharacteristic
212C2×C42×C7C2311yescharacteristic
213C2×C42×C7C2311yescharacteristic
214C2×C42×C7C2311yescharacteristic
215#6509—42no—
216#6509—42no—
217#6507—42no—
218C2×(C2×D7)⋊C4C2311yescharacteristic
219C2×(C2×D7)⋊C4C2311yescharacteristic
220C2×(C2×D7)⋊C4C2311yescharacteristic
221C2×(C2×D7)⋊C4C2311yescharacteristic
222C2×(C2×D7)⋊C4C2311yescharacteristic
223C2×(C2×D7)⋊C4C2311yescharacteristic
224C2×(C2×D7)⋊C4C2311yescharacteristic
225C2×(C2×D7)⋊C4C2311yescharacteristic
226C2×(C2×D7)⋊C4C2311yescharacteristic
227C2×(C2×D7)⋊C4C2311yescharacteristic
228C2×(C2×D7)⋊C4C2311yescharacteristic
229C2×(C2×D7)⋊C4C2311yescharacteristic
230C2×(C2×D7)⋊C4C2311yescharacteristic
231C2×(C2×D7)⋊C4C2311yescharacteristic
232C2×(C2×D7)⋊C4C2311yescharacteristic
233C2×(C2×D7)⋊C4C2311yescharacteristic
234C2×(C2×D7)⋊C4C2311yescharacteristic
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×(C2×D7)⋊C4C2311yescharacteristic
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
259C2×Dic7⋊C4C2311yescharacteristic
260C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
280C2×C4×Dic7C2311yescharacteristic
281C2×C4×Dic7C2311yescharacteristic
282C2×C4×Dic7C2311yescharacteristic
283C2×C4×Dic7C2311yescharacteristic
284C2×C4×Dic7C2311yescharacteristic
285C2×C4×Dic7C2311yescharacteristic
286#6460—24no—
287#6460—42no—
288#6459—42no—
289#6458—24no—
290#6457—42no—
291#6457—42no—
292#6456—42no—
293D7×C4⋊C4—24no—
294D7×C4⋊C4—42no—
295#6438—42no—
296C4×D28—42no—
297C42×D7—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#2762D711yescharacteristic, complemented
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#2488—71no—
382#2449—71no—
383#2449—71no—
384#2419—71no—
385#2419—71no—
386#2329—71no—
387#2325—71no—
388C2×#387—71no—
389C23×D7C2411yescharacteristic
390C23×D7C2411yescharacteristic
391C23×D7C2411yescharacteristic
392C2×C7×Q8—22no—
393C2×C7×Q8—41no—
394C2×C7×Q8—41no—
395C22×C4×C7C2411yescharacteristic
396C22×C4×C7C2411yescharacteristic
397C22×C4×C7C2411yescharacteristic
398C22×C4×C7C2411yescharacteristic
399C22×C4×C7C2411yescharacteristic
400C22×C4×C7C2411yescharacteristic
401C22×C4×C7C2411yescharacteristic
402C22×C4×C7C2411yescharacteristic
403C22×C4×C7C2411yescharacteristic
404C22×C4×C7C2411yescharacteristic
405C22×C4×C7C2411yescharacteristic
406C22×C4×C7C2411yescharacteristic
407C22×C4×C7C2411yescharacteristic
408C22×C4×C7C2411yescharacteristic
409C22×C4×C7C2411yescharacteristic
410C22×Dic7C2411yescharacteristic
411C22×Dic7C2411yescharacteristic
412C22×Dic7C2411yescharacteristic
413C22×Dic7C2411yescharacteristic
414C22×Dic7C2411yescharacteristic
415C22×Dic7C2411yescharacteristic
416C22×Dic7C2411yescharacteristic
417C22×Dic7C2411yescharacteristic
418C22×Dic7C2411yescharacteristic
419C22×Dic7C2411yescharacteristic
420C22×Dic7C2411yescharacteristic
421C22×Dic7C2411yescharacteristic
422C22×Dic7C2411yescharacteristic
423C2×D28—22no—
424C2×D28—22no—
425C2×D28—22no—
426C2×D28—22no—
427C2×D28—22no—
428C2×D28—22no—
429C2×D28—22no—
430C2×D28—41no—
431C2×D28—41no—
432C2×C4×D7—22no—
433C2×C4×D7—22no—
434C2×C4×D7—22no—
435C2×C4×D7—22no—
436C2×C4×D7—22no—
437C2×C4×D7—22no—
438C2×C4×D7—22no—
439C2×C4×D7—22no—
440C2×C4×D7—22no—
441C2×C4×D7—22no—
442C2×C4×D7—41no—
443C2×C4×D7—41no—
444C2×C4×D7—41no—
445C2×C4×D7—41no—
446C2×C4×D7—41no—
447C2×C4×D7—41no—
448C2×C4×D7—41no—
449C2×C4×D7—41no—
450C2×C4×D7—41no—
451C2×C4×D7—41no—
452C2×C4×D7—41no—
453C2×C4×D7—41no—
454C2×C4×D7—41no—
455C2×C4×D7—41no—
456C2×C4×D7—41no—
457C2×C4×D7—41no—
458C2×C4×D7#4114yes—
459C2×Dic14—22no—
460C2×Dic14—22no—
461C2×Dic14—41no—
462C2×Dic14—41no—
463C2×Dic14—41no—
464C2×Dic14—41no—
465C7×C4⋊C4—22no—
466C7×C4⋊C4—22no—
467C7×C4⋊C4—22no—
468C7×C4⋊C4—22no—
469C7×C4⋊C4—41no—
470C7×C4⋊C4—41no—
471C7×C4⋊C4—41no—
472C7×C4⋊C4—41no—
473C7×C4⋊C4—41no—
474C42×C7—22no—
475C42×C7—41no—
476C42×C7—41no—
477(C2×D7)⋊C4—22no—
478(C2×D7)⋊C4—22no—
479(C2×D7)⋊C4—22no—
480(C2×D7)⋊C4—22no—
481(C2×D7)⋊C4—22no—
482(C2×D7)⋊C4—22no—
483(C2×D7)⋊C4—22no—
484(C2×D7)⋊C4—22no—
485(C2×D7)⋊C4—22no—
486(C2×D7)⋊C4—22no—
487(C2×D7)⋊C4—22no—
488(C2×D7)⋊C4—22no—
489(C2×D7)⋊C4—41no—
490(C2×D7)⋊C4—41no—
491(C2×D7)⋊C4—41no—
492(C2×D7)⋊C4—41no—
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—
502(C2×D7)⋊C4—41no—
503(C2×D7)⋊C4—41no—
504(C2×D7)⋊C4—41no—
505(C2×D7)⋊C4—41no—
506(C2×D7)⋊C4—41no—
507C4⋊Dic7—22no—
508C4⋊Dic7—22no—
509C4⋊Dic7—22no—
510C4⋊Dic7—41no—
511C4⋊Dic7—41no—
512C4⋊Dic7—41no—
513C4⋊Dic7—41no—
514C4⋊Dic7—41no—
515C4⋊Dic7—41no—
516C4⋊Dic7—41no—
517C4⋊Dic7—41no—
518Dic7⋊C4—22no—
519Dic7⋊C4—22no—
520Dic7⋊C4—22no—
521Dic7⋊C4—22no—
522Dic7⋊C4—22no—
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—
537Dic7⋊C4—41no—
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×#123—71no—
549C2×C22⋊Q8—71no—
550C2×C22⋊Q8—71no—
551C2×C22⋊Q8—71no—
552C2×C22⋊Q8—71no—
553C2×C22⋊Q8—71no—
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#401C2×D711yescharacteristic
562#400—71no—
563#400—71no—
564#400—71no—
565#400—71no—
566#400—71no—
567#400—71no—
568#400—71no—
569#400C2×D711yescharacteristic
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#398C2×D711yescharacteristic
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#397—71no—
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#395C2×D711yescharacteristic
604#394—71no—
605#394—71no—
606#393—71no—
607#393—71no—
608#391—71no—
609#391—71no—
610#391—71no—
611#391—71no—
612#391—71no—
613#391C2×D711yescharacteristic
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#388—71no—
637#388—71no—
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#387C2×D711yescharacteristic
656#387C2×D711yescharacteristic
657#387C2×D711yescharacteristic
658#387C2×D711yescharacteristic
659#387C2×D711yescharacteristic
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#386—71no—
669#386—71no—
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#383C2×D711yescharacteristic
683#382—71no—
684#382—71no—
685#382C2×D711yescharacteristic
686#381—71no—
687#381—71no—
688#381—71no—
689#381—71no—
690#380—71no—
691#380—71no—
692#380—71no—
693#380—71no—
694C4×C22⋊C4—71no—
695C4×C22⋊C4—71no—
696C2×#95—71no—
697C2×#95—71no—
698C2×#95—71no—
699C2×#95—71no—
700C23×C7C2511yescharacteristic
701C22×D7—21no—
702C22×D7—21no—
703C22×D7—21no—
704C22×D7—21no—
705C22×D7—21no—
706C22×D7—21no—
707C22×D7—21no—
708C22×D7—21no—
709C22×D7—21no—
710C22×D7—21no—
711C22×D7—21no—
712C22×D7—21no—
713C22×D7—21no—
714C22×D7—21no—
715C22×D7—21no—
716C22×D7—21no—
717C22×D7—21no—
718C22×D7—21no—
719C22×D7C2×#4112yes—
720C22×D7H(5,𝔽2)12yes—
721C22×D72−1+412yes—
722C7×Q8—82no—
723C2×C4×C7—21no—
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—21no—
763C2×C4×C7—21no—
764C2×C4×C7—21no—
765C2×C4×C7—21no—
766C2×C4×C7C2×#4112yes—
767C2×C4×C7H(5,𝔽2)12yes—
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×Dic7C2×#4112yes—
806C2×Dic72−1+412yes—
807D28—44no—
808D28—44no—
809D28—82no—
810C4×D7—44no—
811C4×D7—44no—
812C4×D7—44no—
813C4×D7—44no—
814C4×D7—44no—
815C4×D7—82no—
816C4×D7—82no—
817C4×D7—82no—
818C4×D7—82no—
819Dic14—82no—
820Dic14—82no—
821C22×Q8—71no—
822C22×Q8—71no—
823C22×Q8C22×D711yescharacteristic
824C22×D4—71no—
825C22×D4—71no—
826C22×D4—71no—
827C23×C4—71no—
828C23×C4—71no—
829C23×C4—71no—
830C23×C4—71no—
831C23×C4—71no—
832C23×C4—71no—
833C23×C4—71no—
834C23×C4—71no—
835C23×C4—71no—
836C4⋊Q8—282no—
837#124—282no—
838#123—282no—
839#123—282no—
840C22⋊Q8—144no—
841C22⋊Q8—282no—
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—144no—
880C2×C4⋊C4—282no—
881C2×C4⋊C4C22×D711yescharacteristic
882C2×C4⋊C4C22×D711yescharacteristic
883C2×C4⋊C4C22×D711yescharacteristic
884C2×C4⋊C4C22×D711yescharacteristic
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⋊C4—71no—
912C2×C22⋊C4—71no—
913C2×C22⋊C4—71no—
914C2×C22⋊C4—71no—
915C2×C22⋊C4—71no—
916C2×C22⋊C4—71no—
917C2×C22⋊C4—71no—
918C2×C22⋊C4—71no—
919C2×C22⋊C4—71no—
920C2×C42—71no—
921C2×C42—71no—
922C2×C42—71no—
923C2×C42—71no—
924C2×C42—71no—
925C2×C42—71no—
926C2×C42—71no—
927C2×C42—282no—
928C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
970#95C22×D711yescharacteristic
971#95C22×D711yescharacteristic
972#95C22×D711yescharacteristic
973#95C22×D711yescharacteristic
974#95C22×D711yescharacteristic
975#95C22×D711yescharacteristic
976#95C22×D711yescharacteristic
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×C7C22×#4111yescharacteristic
992C22×C7C2×H(5,𝔽2)11yescharacteristic
993C22×C7C2×H(5,𝔽2)11yescharacteristic
994C22×C7C2×2−1+411yescharacteristic
995C22×C7C2×2−1+411yescharacteristic
996C22×C7#58511yescharacteristic
997C22×C7#58511yescharacteristic
998C2×D7—22no—
999C2×D7—22no—
1000C2×D7—22no—
1001C2×D7—22no—
1002C2×D7—22no—
1003C2×D7—22no—
1004C2×D7—41no—
1005C2×D7—41no—
1006C2×D7—41no—
1007C2×D7—41no—
1008C2×D7—41no—
1009C2×D7—41no—
1010C2×D7—41no—
1011C2×D7—41no—
1012C2×D7—41no—
1013C2×D7—41no—
1014C2×D7—41no—
1015C2×D7—41no—
1016C2×D7—41no—
1017C2×D7—41no—
1018C2×D7#54214yes—
1019C4×C7—22no—
1020C4×C7—22no—
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—
1032C4×C7—41no—
1033C4×C7—41no—
1034Dic7—22no—
1035Dic7—22no—
1036Dic7—41no—
1037Dic7—41no—
1038Dic7—41no—
1039Dic7—41no—
1040Dic7—41no—
1041Dic7—41no—
1042Dic7—41no—
1043Dic7—41no—
1044Dic7—41no—
1045Dic7—41no—
1046Dic7—41no—
1047C24—71no—
1048C24—71no—
1049C24—71no—
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—142no—
1060C2×D4—142no—
1061C2×D4—142no—
1062C2×D4—142no—
1063C2×D4—142no—
1064C2×D4—142no—
1065C2×D4—142no—
1066C2×D4—281no—
1067C2×D4—281no—
1068C22×C4—71no—
1069C22×C4—71no—
1070C22×C4—74no—
1071C22×C4—71no—
1072C22×C4—71no—
1073C22×C4—71no—
1074C22×C4—71no—
1075C22×C4—71no—
1076C22×C4—71no—
1077C22×C4—71no—
1078C22×C4—71no—
1079C22×C4—71no—
1080C22×C4—71no—
1081C22×C4—71no—
1082C22×C4—142no—
1083C22×C4—142no—
1084C22×C4—142no—
1085C22×C4—142no—
1086C22×C4—142no—
1087C22×C4—142no—
1088C22×C4—142no—
1089C22×C4—142no—
1090C22×C4—142no—
1091C22×C4—142no—
1092C22×C4—281no—
1093C22×C4—281no—
1094C22×C4—281no—
1095C22×C4—281no—
1096C22×C4—281no—
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×C4C23×D711yescharacteristic
1109C22×C4C23×D711yescharacteristic
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—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
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—142no—
1164C22⋊C4—142no—
1165C22⋊C4—142no—
1166C22⋊C4—142no—
1167C22⋊C4—142no—
1168C22⋊C4—142no—
1169C22⋊C4—142no—
1170C22⋊C4—142no—
1171C22⋊C4—142no—
1172C22⋊C4—142no—
1173C22⋊C4—142no—
1174C22⋊C4—142no—
1175C22⋊C4—281no—
1176C22⋊C4—281no—
1177C22⋊C4—281no—
1178C22⋊C4—281no—
1179C22⋊C4—281no—
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—22no—
1194C42—41no—
1195C42—41no—
1196C42—142no—
1197C42—281no—
1198C42—281no—
1199C42—281no—
1200C42—281no—
1201C42—281no—
1202C42—281no—
1203C2×C7C2×#54211yescharacteristic
1204C2×C7#350511yescharacteristic
1205C2×C7#350711yescharacteristic
1206C2×C7#353411yescharacteristic
1207C2×C7#353811yescharacteristic
1208C2×C7#355911yescharacteristic
1209C2×C7#356411yescharacteristic
1210D7—24no—
1211D7—81no—
1212D7—81no—
1213C23—72no—
1214C23—72no—
1215C23—72no—
1216C23—141no—
1217C23—141no—
1218C23—141no—
1219C23—141no—
1220C23—141no—
1221C23—141no—
1222C23—141no—
1223C23—141no—
1224C23—141no—
1225C23—141no—
1226C23—141no—
1227C23—141no—
1228C23—141no—
1229C23—141no—
1230C23—141no—
1231C23—141no—
1232C23—141no—
1233C23—141no—
1234C23C24×D711yescharacteristic
1235Q8—82no—
1236Q8—562no—
1237Q8—562no—
1238D4—284no—
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—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—72no—
1285C2×C4—72no—
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—284no—
1324C2×C4—284no—
1325C2×C4—284no—
1326C2×C4—284no—
1327C2×C4—284no—
1328C2×C4—562no—
1329C2×C4—562no—
1330C2×C4—562no—
1331C2×C4—562no—
1332C2×C4D7×#4112yes—
1333C2×C4#655312yes—
1334C7#3676411yescharacteristic, complemented, Sylow
1335C22—74no—
1336C22—142no—
1337C22—142no—
1338C22—142no—
1339C22—142no—
1340C22—142no—
1341C22—142no—
1342C22—281no—
1343C22—281no—
1344C22—281no—
1345C22—281no—
1346C22—281no—
1347C22—281no—
1348C22—281no—
1349C22—281no—
1350C22—281no—
1351C22—281no—
1352C22—281no—
1353C22—281no—
1354C22—281no—
1355C22—281no—
1356C22C2×D7×#4111yescharacteristic
1357C22C2×#655311yescharacteristic
1358C22#9061611yescharacteristic
1359C22D7×H(5,𝔽2)11yescharacteristic
1360C22D7×2−1+411yescharacteristic
1361C22D7×2−1+411yescharacteristic
1362C22#9062011yescharacteristic
1363C4—22no—
1364C4—22no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—142no—
1379C4—142no—
1380C4—281no—
1381C4—281no—
1382C4—281no—
1383C4—281no—
1384C4—281no—
1385C4—281no—
1386C4—281no—
1387C4—281no—
1388C4—281no—
1389C4—281no—
1390C4—281no—
1391C2—144no—
1392C2—561no—
1393C2—561no—
1394C2#1174358311yescharacteristic
1395C2#1174358911yescharacteristic
1396C2D7×#54211yescharacteristic
1397C2#1174386911yescharacteristic
1398C2#1174393011yescharacteristic
1399C2#1174407511yescharacteristic
1400C2#1174420211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2762C2
prime radicalC2×#6458C22
hypercenter#2762D7
hypocenterC7#36764
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2762

Complements

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

NH ≅ G/Ntype
1. C7×#2762C2semidirect
2. #11735881C2semidirect
3. #11735876C2semidirect
4. #11735845C2semidirect
5. #11735840C2semidirect
6. #11735805C2semidirect
7. #11735791C2semidirect
8. #11735786C2semidirect
9. #11735744C2semidirect
11. #11735321C2semidirect
12. #11734697C2semidirect
13. #11734668C2semidirect
14. #11734109C2semidirect
15. #11734100C2semidirect
16. #11734095C2semidirect
17. #11734074C2semidirect
18. #11732884C2semidirect
19. #11732841C2semidirect
20. #11732766C2semidirect
21. #11732760C2semidirect
22. #11732745C2semidirect
24. D7×#387C2semidirect
25. #11732703C2semidirect
26. #11732679C2semidirect
27. #11732633C2semidirect
28. #11731746C2semidirect
29. #11731735C2semidirect
31. #11731648C2semidirect
369. #2762D7semidirect
1334. C7#36764semidirect

Maximal subgroups

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

subgroupindex
C7×#27622
#117358812
#117358762
#117358452
#117358402
#117358052
#117357912
#117357862
#117357442
#117354072
#117353212
#117346972
#117346682
#117341092
#117341002
#117340952
#117340742
#117328842
#117328412
#117327662
#117327602
#117327452
#117327432
D7×#3872
#117327032
#117326792
#117326332
#117317462
#117317352
#117317012
#117316482
#367647