Finite Group Databasebeta

← #13523692

Subgroups — #13523692

Order 1792.

1892 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×#2528C211yesmaximal, characteristic, complemented
2#11735876C211yesmaximal, characteristic, complemented
3#11735854C211yesmaximal, characteristic, complemented
4#11735794C211yesmaximal, characteristic, complemented
5#11735789C211yesmaximal, characteristic, complemented
6#11735577C211yesmaximal, characteristic, complemented
7#11735576C211yesmaximal, characteristic, complemented
8#11735393C211yesmaximal, characteristic
9#11735186C211yesmaximal, characteristic, complemented
10#11733503C211yesmaximal, characteristic, complemented
11#11733409C211yesmaximal, characteristic
12#11732796C211yesmaximal, characteristic, complemented
13#11732785C211yesmaximal, characteristic, complemented
14#11732765C211yesmaximal, characteristic
15#11732760C211yesmaximal, characteristic, complemented
16#11732513C211yesmaximal, characteristic, complemented
17#11732512C211yesmaximal, characteristic, complemented
18#11732511C211yesmaximal, characteristic, complemented
19#11732386C211yesmaximal, characteristic, complemented
20#11732385C211yesmaximal, characteristic, complemented
21#11732385C211yesmaximal, characteristic, complemented
22#11732384C211yesmaximal, characteristic, complemented
23#11732383C211yesmaximal, characteristic, complemented
24#11732382C211yesmaximal, characteristic, complemented
25#11732382C211yesmaximal, characteristic, complemented
26#11731678C211yesmaximal, characteristic, complemented
27#11731592C211yesmaximal, characteristic, complemented
28#11731152C211yesmaximal, characteristic, complemented
29C4×#6456C211yesmaximal, characteristic, complemented
30#11730866C211yesmaximal, characteristic, complemented
31D7×#376C211yesmaximal, characteristic, complemented
32C2×#6459C2211yescharacteristic
33C2×#6458C2211yescharacteristic
34C2×#6457C2211yescharacteristic
35C2×#6457C2211yescharacteristic
36C2×#6456C2211yescharacteristic
37C2×#6456C2211yescharacteristic
38C2×#6456C2211yescharacteristic
39C2×#6456C2211yescharacteristic
40C2×#6455C2211yescharacteristic
41C2×#6450C2211yescharacteristic
42C2×C4×D28C2211yescharacteristic
43C2×C42×D7C2211yescharacteristic
44C2×C42×D7C2211yescharacteristic
45C2×C42×D7C2211yescharacteristic
46C2×C42×D7C2211yescharacteristic
47C7×#401C2211yescharacteristic
48C7×#400C2211yescharacteristic
49C7×#400C2211yescharacteristic
50C7×#398C2211yescharacteristic
51C7×#389C2211yescharacteristic
52C7×#387C2211yescharacteristic
53C7×#387C2211yescharacteristic
54C7×#387C2211yescharacteristic
55C7×#387C2211yescharacteristic
56C7×#387C2211yescharacteristic
57C7×#387C2211yescharacteristic
58C7×#387C2211yescharacteristic
59C7×#382C2211yescharacteristic
60C4×C7×C4⋊C4C2211yescharacteristic
61C7×#376C2211yescharacteristic
62#89766C2211yescharacteristic
63#89765C2211yescharacteristic
64#89763C2211yescharacteristic
65#89762C2211yescharacteristic
66#89762C2211yescharacteristic
67#89762C2211yescharacteristic
68#89761C2211yescharacteristic
69#89761C2211yescharacteristic
70#89761C2211yescharacteristic
71#89759C2211yescharacteristic
72#89759C2211yescharacteristic
73#89759C2211yescharacteristic
74#89758C2211yescharacteristic
75#89756C2211yescharacteristic
76#89755C2211yescharacteristic
77#89754C2211yescharacteristic
78#89754C2211yescharacteristic
79#89753C2211yescharacteristic
80#89753C2211yescharacteristic
81#89753C2211yescharacteristic
82#89753C2211yescharacteristic
83#89750C2211yescharacteristic
84#89750C2211yescharacteristic
85C4⋊C4×Dic7C2211yescharacteristic
86C4⋊C4×Dic7C2211yescharacteristic
87C4⋊C4×Dic7C2211yescharacteristic
88C4⋊C4×Dic7C2211yescharacteristic
89C4⋊C4×Dic7C2211yescharacteristic
90C4⋊C4×Dic7C2211yescharacteristic
91#89744C2211yescharacteristic
92#89712C2211yescharacteristic
93#89712C2211yescharacteristic
94#89712C2211yescharacteristic
95#89712C2211yescharacteristic
96#89712C2211yescharacteristic
97#89711C2211yescharacteristic
98C4×(C2×D7)⋊C4C2211yescharacteristic
99C4×(C2×D7)⋊C4C2211yescharacteristic
100#89708C2211yescharacteristic
101#89705C2211yescharacteristic
102#89705C2211yescharacteristic
103#89704C2211yescharacteristic
104#89704C2211yescharacteristic
105#89704C2211yescharacteristic
106C42×Dic7C2211yescharacteristic
107#89448C2211yescharacteristic
108#89447C2211yescharacteristic
109#89447C2211yescharacteristic
110#89447C2211yescharacteristic
111#89447C2211yescharacteristic
112#89447C2211yescharacteristic
113#89447C2211yescharacteristic
114#89446C2211yescharacteristic
115#89445C2211yescharacteristic
116#89445C2211yescharacteristic
117#89444C2211yescharacteristic
118#89442C2211yescharacteristic
119#89442C2211yescharacteristic
120#89442C2211yescharacteristic
121#89441C2211yescharacteristic
122#89441C2211yescharacteristic
123#89441C2211yescharacteristic
124#89440C2211yescharacteristic
125#89440C2211yescharacteristic
126#89440C2211yescharacteristic
127#89440C2211yescharacteristic
128#89440C2211yescharacteristic
129#89439C2211yescharacteristic
130#89438C2211yescharacteristic
131#89438C2211yescharacteristic
132#89438C2211yescharacteristic
133#89438C2211yescharacteristic
134#89438C2211yescharacteristic
135#89438C2211yescharacteristic
136#89438C2211yescharacteristic
137#89438C2211yescharacteristic
138#89438C2211yescharacteristic
139#89438C2211yescharacteristic
140#89438C2211yescharacteristic
141#89438C2211yescharacteristic
142#89437C2211yescharacteristic
143#89437C2211yescharacteristic
144#89437C2211yescharacteristic
145#89437C2211yescharacteristic
146#89437C2211yescharacteristic
147#89437C2211yescharacteristic
148#89437C2211yescharacteristic
149#89437C2211yescharacteristic
150#89436C2211yescharacteristic
151#89436C2211yescharacteristic
152#89436C2211yescharacteristic
153#89436C2211yescharacteristic
154D7×#95C2211yescharacteristic
155D7×#95C2211yescharacteristic
156D7×#95C2211yescharacteristic
157D7×#95C2211yescharacteristic
158C7⋊#401C2211yescharacteristic
159#89433C2211yescharacteristic
160#89432C2211yescharacteristic
161#89432C2211yescharacteristic
162#89431C2211yescharacteristic
163#89431C2211yescharacteristic
164#89430C2211yescharacteristic
165#89430C2211yescharacteristic
166#89430C2211yescharacteristic
167#89426C2211yescharacteristic
168#89425C2211yescharacteristic
169#89424C2211yescharacteristic
170#89423C2211yescharacteristic
171#89423C2211yescharacteristic
172#89421C2211yescharacteristic
173#89421C2211yescharacteristic
174#89421C2211yescharacteristic
175#89421C2211yescharacteristic
176#89421C2211yescharacteristic
177#89420C2211yescharacteristic
178#89420C2211yescharacteristic
179#89420C2211yescharacteristic
180#89420C2211yescharacteristic
181#89420C2211yescharacteristic
182#89419C2211yescharacteristic
183#89419C2211yescharacteristic
184#89418C2211yescharacteristic
185#89418C2211yescharacteristic
186#89418C2211yescharacteristic
187#34811—71nomaximal, Sylow
188C22×D28C2311yescharacteristic
189C22×D28C2311yescharacteristic
190C22×D28C2311yescharacteristic
191C22×C4×D7C2311yescharacteristic
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×C4×D7C2311yescharacteristic
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×C7×C4⋊C4C2311yescharacteristic
213C2×C42×C7C2311yescharacteristic
214C2×C42×C7C2311yescharacteristic
215C2×C42×C7C2311yescharacteristic
216C2×C42×C7C2311yescharacteristic
217C2×C42×C7C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
247C2×C4⋊Dic7C2311yescharacteristic
248C2×C4⋊Dic7C2311yescharacteristic
249C2×C4⋊Dic7C2311yescharacteristic
250C2×C4⋊Dic7C2311yescharacteristic
251C2×C4⋊Dic7C2311yescharacteristic
252C2×Dic7⋊C4C2311yescharacteristic
253C2×Dic7⋊C4C2311yescharacteristic
254C2×Dic7⋊C4C2311yescharacteristic
255C2×Dic7⋊C4C2311yescharacteristic
256C2×Dic7⋊C4C2311yescharacteristic
257C2×Dic7⋊C4C2311yescharacteristic
258C2×Dic7⋊C4C2311yescharacteristic
259C2×Dic7⋊C4C2311yescharacteristic
260C2×Dic7⋊C4C2311yescharacteristic
261C2×Dic7⋊C4C2311yescharacteristic
262C2×Dic7⋊C4C2311yescharacteristic
263C2×Dic7⋊C4C2311yescharacteristic
264C2×C4×Dic7C2311yescharacteristic
265C2×C4×Dic7C2311yescharacteristic
266C2×C4×Dic7C2311yescharacteristic
267C2×C4×Dic7C2311yescharacteristic
268C2×C4×Dic7C2311yescharacteristic
269C2×C4×Dic7C2311yescharacteristic
270C2×C4×Dic7C2311yescharacteristic
271C2×C4×Dic7C2311yescharacteristic
272C2×C4×Dic7C2311yescharacteristic
273C2×C4×Dic7C2311yescharacteristic
274C2×C4×Dic7C2311yescharacteristic
275C2×C4×Dic7C2311yescharacteristic
276C2×C4×Dic7C2311yescharacteristic
277C2×C4×Dic7C2311yescharacteristic
278C2×C4×Dic7C2311yescharacteristic
279C2×C4×Dic7C2311yescharacteristic
280C2×C4×Dic7C2311yescharacteristic
281C2×C4×Dic7C2311yescharacteristic
282C2×C4×Dic7C2311yescharacteristic
283#6459—24no—
284#6458—24no—
285#6457—24no—
286#6457—24no—
287#6456—24no—
288#6456—24no—
289#6456—24no—
290#6456—24no—
291#6455—24no—
292#6450—24no—
293C4×D28—24no—
294C42×D7—24no—
295C42×D7—24no—
296C42×D7—24no—
297C42×D7—24no—
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#2533—71no—
359#2532—71no—
360#2531—71no—
361#2530—71no—
362#2529—71no—
363#2528D711yescharacteristic, complemented
364#2527—71no—
365#2526—71no—
366#2510—71no—
367#2505—71no—
368#2493—71no—
369#2488—71no—
370#2450—71no—
371#2444—71no—
372#2425—71no—
373#2419—71no—
374#2402—71no—
375#2401—71no—
376#2401—71no—
377#2398—71no—
378C4×C22⋊Q8—71no—
379C4×#123—71no—
380C4×#123—71no—
381C4×#121—71no—
382#2298—71no—
383#2295—71no—
384#2290—71no—
385#2290—71no—
386#2283—71no—
387C42×D4—71no—
388C2×#376—71no—
389C23×D7C2411yescharacteristic
390C23×D7C2411yescharacteristic
391C23×D7C2411yescharacteristic
392C22×C4×C7C2411yescharacteristic
393C22×C4×C7C2411yescharacteristic
394C22×C4×C7C2411yescharacteristic
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×Dic7C2411yescharacteristic
408C22×Dic7C2411yescharacteristic
409C22×Dic7C2411yescharacteristic
410C22×Dic7C2411yescharacteristic
411C22×Dic7C2411yescharacteristic
412C22×Dic7C2411yescharacteristic
413C22×Dic7C2411yescharacteristic
414C22×Dic7C2411yescharacteristic
415C22×Dic7C2411yescharacteristic
416C22×Dic7C2411yescharacteristic
417C22×Dic7C2411yescharacteristic
418C22×Dic7C2411yescharacteristic
419C22×Dic7C2411yescharacteristic
420C2×D28—22no—
421C2×D28—22no—
422C2×D28—22no—
423C2×D28—22no—
424C2×D28—22no—
425C2×D28—22no—
426C2×D28—22no—
427C2×D28—41no—
428C2×D28#4114yes—
429C2×C4×D7—22no—
430C2×C4×D7—22no—
431C2×C4×D7—22no—
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—22no—
443C2×C4×D7—22no—
444C2×C4×D7—22no—
445C2×C4×D7—22no—
446C2×C4×D7—22no—
447C2×C4×D7—22no—
448C2×C4×D7—22no—
449C2×C4×D7—22no—
450C2×C4×D7—22no—
451C2×C4×D7—22no—
452C2×C4×D7—22no—
453C2×C4×D7—41no—
454C2×C4×D7—41no—
455C2×C4×D7—41no—
456C2×C4×D7—41no—
457C2×C4×D7—41no—
458C2×C4×D7—41no—
459C2×C4×D7—41no—
460C2×C4×D7—41no—
461C2×C4×D7#4114yes—
462C2×Dic14—22no—
463C2×Dic14—22no—
464C2×Dic14—41no—
465C7×C4⋊C4—22no—
466C7×C4⋊C4—22no—
467C7×C4⋊C4—22no—
468C7×C4⋊C4—22no—
469C7×C4⋊C4—22no—
470C7×C4⋊C4—22no—
471C7×C4⋊C4—22no—
472C7×C4⋊C4—22no—
473C7×C4⋊C4—22no—
474C7×C4⋊C4—22no—
475C42×C7—22no—
476C42×C7—22no—
477C42×C7—22no—
478C42×C7—22no—
479C42×C7—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—22no—
490(C2×D7)⋊C4—22no—
491(C2×D7)⋊C4—22no—
492(C2×D7)⋊C4—22no—
493(C2×D7)⋊C4—22no—
494(C2×D7)⋊C4—22no—
495(C2×D7)⋊C4—22no—
496(C2×D7)⋊C4—22no—
497(C2×D7)⋊C4—22no—
498(C2×D7)⋊C4—22no—
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—
507(C2×D7)⋊C4#4114yes—
508C4⋊Dic7—22no—
509C4⋊Dic7—22no—
510C4⋊Dic7—41no—
511C4⋊Dic7—41no—
512C4⋊Dic7—41no—
513C4⋊Dic7—41no—
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—
526C4×Dic7—22no—
527C4×Dic7—22no—
528C4×Dic7—22no—
529C4×Dic7—22no—
530C4×Dic7—22no—
531C4×Dic7—22no—
532C4×Dic7—22no—
533C4×Dic7—22no—
534C4×Dic7—22no—
535C4×Dic7—22no—
536C4×Dic7—22no—
537C4×Dic7—22no—
538C4×Dic7—22no—
539C4×Dic7—22no—
540C4×Dic7—22no—
541C4×Dic7—41no—
542C4×Dic7—41no—
543C4×Dic7#4114yes—
544C4×Dic7#4114yes—
545C2×#123—71no—
546C2×#123—71no—
547C2×C22⋊Q8—71no—
548C2×#121—71no—
549C2×C4×Q8—71no—
550C2×C4×D4—71no—
551C2×C4×D4—71no—
552C2×C4×D4—71no—
553C2×C4×D4—71no—
554C2×C4×D4—71no—
555C2×#117—71no—
556C22×C42—71no—
557C22×C42—71no—
558C22×C42—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#400—71no—
570#400—71no—
571#400—71no—
572#400C2×D711yescharacteristic
573#400C2×D711yescharacteristic
574#398—71no—
575#398—71no—
576#398—71no—
577#398C2×D711yescharacteristic
578#397—71no—
579#397—71no—
580#397—71no—
581#397—71no—
582#397—71no—
583#397—71no—
584#397—71no—
585#397—71no—
586#396—71no—
587#396—71no—
588#394—71no—
589#394—71no—
590#393—71no—
591#393—71no—
592#391—71no—
593#391—71no—
594#391—71no—
595#390—71no—
596#389—71no—
597#389—71no—
598#389—71no—
599#389C2×D711yescharacteristic
600#388—71no—
601#388—71no—
602#388—71no—
603#388—71no—
604#388—71no—
605#388—71no—
606#388—71no—
607#388—71no—
608#388—71no—
609#388—71no—
610#388—71no—
611#388—71no—
612#388—71no—
613#388—71no—
614#387—71no—
615#387—71no—
616#387—71no—
617#387—71no—
618#387—71no—
619#387—71no—
620#387—71no—
621#387—71no—
622#387—71no—
623#387—71no—
624#387—71no—
625#387C2×D711yescharacteristic
626#387C2×D711yescharacteristic
627#387C2×D711yescharacteristic
628#387C2×D711yescharacteristic
629#387C2×D711yescharacteristic
630#387C2×D711yescharacteristic
631#387C2×D711yescharacteristic
632#386—71no—
633#386—71no—
634#386—71no—
635#386—71no—
636#386—71no—
637#386—71no—
638#386—71no—
639#386—71no—
640#385—71no—
641#385—71no—
642#385—71no—
643#385—71no—
644#385—71no—
645#385—71no—
646#385—71no—
647#385—71no—
648#383—71no—
649#383—71no—
650#382—71no—
651#382C2×D711yescharacteristic
652#381—71no—
653#381—71no—
654#381—71no—
655#381—71no—
656#380—71no—
657#380—71no—
658#380—71no—
659#380—71no—
660C4×C4⋊C4—71no—
661C4×C4⋊C4—71no—
662C4×C4⋊C4—71no—
663C4×C4⋊C4—71no—
664C4×C4⋊C4—71no—
665C4×C4⋊C4—71no—
666C4×C4⋊C4—71no—
667C4×C4⋊C4—71no—
668C4×C4⋊C4—71no—
669C4×C4⋊C4—71no—
670C4×C4⋊C4—71no—
671C4×C4⋊C4C2×D711yescharacteristic
672C4×C22⋊C4—71no—
673C4×C22⋊C4—71no—
674C4×C22⋊C4—71no—
675C4×C22⋊C4—71no—
676C4×C22⋊C4—71no—
677C4×C22⋊C4—71no—
678C4×C22⋊C4—71no—
679C4×C22⋊C4—71no—
680C4×C22⋊C4—71no—
681C4×C22⋊C4—71no—
682C4×C22⋊C4—71no—
683C4×C22⋊C4—71no—
684C4×C22⋊C4—71no—
685C4×C22⋊C4—71no—
686#376—71no—
687#376—71no—
688#376—71no—
689#376—71no—
690#376—71no—
691#376—71no—
692#376—71no—
693#376—71no—
694#376C2×D711yescharacteristic
695C2×#95—71no—
696C2×#95—71no—
697C2×#95—71no—
698C2×#95—71no—
699C43—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×D7C2×#4112yes—
719C22×D7C2×#4112yes—
720C22×D7C2×#4112yes—
721C22×D7C2×#4112yes—
722C2×C4×C7—21no—
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×C7C2×#4112yes—
763C2×C4×C7C2×#4112yes—
764C2×C4×C7C2×#4112yes—
765C2×C4×C7C2×#4112yes—
766C2×C4×C7C2×#4112yes—
767C2×Dic7—21no—
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×Dic7C2×#4112yes—
801C2×Dic7C2×#4112yes—
802C2×Dic7C2×#4112yes—
803C2×Dic7C2×#4112yes—
804C2×Dic7C2×#4112yes—
805C2×Dic7C2×#4112yes—
806D28—28no—
807D28—44no—
808D28—44no—
809C4×D7—28no—
810C4×D7—44no—
811C4×D7—44no—
812C4×D7—44no—
813C4×D7—44no—
814C4×D7—44no—
815C4×D7—44no—
816C4×D7—44no—
817C4×D7—44no—
818C4×D7—44no—
819C4×D7—44no—
820Dic14—44no—
821C22×Q8—71no—
822C22×D4—71no—
823C22×D4—71no—
824C22×D4—71no—
825C23×C4—71no—
826C23×C4—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—
836#123—144no—
837#123—144no—
838C22⋊Q8—144no—
839#121—144no—
840C4×Q8—144no—
841C4×D4—144no—
842C4×D4—144no—
843C4×D4—144no—
844C4×D4—144no—
845C4×D4—144no—
846#117—144no—
847C2×C4⋊C4—71no—
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⋊C4C22×D711yescharacteristic
866C2×C4⋊C4C22×D711yescharacteristic
867C2×C4⋊C4C22×D711yescharacteristic
868C2×C4⋊C4C22×D711yescharacteristic
869C2×C4⋊C4C22×D711yescharacteristic
870C2×C4⋊C4C22×D711yescharacteristic
871C2×C4⋊C4C22×D711yescharacteristic
872C2×C4⋊C4C22×D711yescharacteristic
873C2×C4⋊C4C22×D711yescharacteristic
874C2×C4⋊C4C22×D711yescharacteristic
875C2×C22⋊C4—71no—
876C2×C22⋊C4—71no—
877C2×C22⋊C4—71no—
878C2×C22⋊C4—71no—
879C2×C22⋊C4—71no—
880C2×C22⋊C4—71no—
881C2×C22⋊C4—71no—
882C2×C22⋊C4—71no—
883C2×C22⋊C4—71no—
884C2×C22⋊C4—71no—
885C2×C22⋊C4—71no—
886C2×C22⋊C4—71no—
887C2×C22⋊C4—71no—
888C2×C22⋊C4—71no—
889C2×C22⋊C4—71no—
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×C42—71no—
904C2×C42—71no—
905C2×C42—71no—
906C2×C42—71no—
907C2×C42—71no—
908C2×C42—71no—
909C2×C42—71no—
910C2×C42—71no—
911C2×C42—71no—
912C2×C42—71no—
913C2×C42—71no—
914C2×C42—71no—
915C2×C42—71no—
916C2×C42—71no—
917C2×C42—71no—
918C2×C42—71no—
919C2×C42—71no—
920C2×C42—71no—
921C2×C42—71no—
922C2×C42—144no—
923C2×C42—144no—
924C2×C42—144no—
925C2×C42—144no—
926C2×C42C22×D711yescharacteristic
927C2×C42C22×D711yescharacteristic
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#95—71no—
970#95—71no—
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×C7C22×#4111yescharacteristic
993C22×C7C22×#4111yescharacteristic
994C22×C7C22×#4111yescharacteristic
995C22×C7C22×#4111yescharacteristic
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—22no—
1005C2×D7—22no—
1006C2×D7—22no—
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#52914yes—
1019C4×C7—22no—
1020C4×C7—22no—
1021C4×C7—22no—
1022C4×C7—22no—
1023C4×C7—22no—
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—22no—
1037Dic7—41no—
1038Dic7—41no—
1039Dic7—41no—
1040Dic7—41no—
1041Dic7—41no—
1042Dic7—41no—
1043Dic7—41no—
1044Dic7—41no—
1045Dic7—41no—
1046Dic7#52914yes—
1047C24—71no—
1048C24—71no—
1049C24—71no—
1050C2×Q8—142no—
1051C2×Q8—142no—
1052C2×Q8—281no—
1053C2×D4—74no—
1054C2×D4—142no—
1055C2×D4—142no—
1056C2×D4—142no—
1057C2×D4—142no—
1058C2×D4—142no—
1059C2×D4—142no—
1060C2×D4—142no—
1061C2×D4—281no—
1062C22×C4—71no—
1063C22×C4—71no—
1064C22×C4—71no—
1065C22×C4—71no—
1066C22×C4—74no—
1067C22×C4—71no—
1068C22×C4—71no—
1069C22×C4—71no—
1070C22×C4—71no—
1071C22×C4—71no—
1072C22×C4—71no—
1073C22×C4—71no—
1074C22×C4—71no—
1075C22×C4—71no—
1076C22×C4—142no—
1077C22×C4—142no—
1078C22×C4—142no—
1079C22×C4—142no—
1080C22×C4—142no—
1081C22×C4—142no—
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—142no—
1093C22×C4—142no—
1094C22×C4—142no—
1095C22×C4—142no—
1096C22×C4—142no—
1097C22×C4—142no—
1098C22×C4—142no—
1099C22×C4—142no—
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—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—142no—
1134C4⋊C4—142no—
1135C4⋊C4—142no—
1136C4⋊C4—142no—
1137C4⋊C4—142no—
1138C4⋊C4—142no—
1139C4⋊C4—142no—
1140C4⋊C4—142no—
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—
1151C22⋊C4—74no—
1152C22⋊C4—142no—
1153C22⋊C4—142no—
1154C22⋊C4—142no—
1155C22⋊C4—142no—
1156C22⋊C4—142no—
1157C22⋊C4—142no—
1158C22⋊C4—142no—
1159C22⋊C4—142no—
1160C22⋊C4—142no—
1161C22⋊C4—142no—
1162C22⋊C4—142no—
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—281no—
1172C22⋊C4—281no—
1173C22⋊C4—281no—
1174C22⋊C4—281no—
1175C22⋊C4—281no—
1176C22⋊C4—281no—
1177C22⋊C4—281no—
1178C22⋊C4—281no—
1179C42—22no—
1180C42—22no—
1181C42—22no—
1182C42—22no—
1183C42—22no—
1184C42—74no—
1185C42—74no—
1186C42—142no—
1187C42—142no—
1188C42—142no—
1189C42—142no—
1190C42—142no—
1191C42—142no—
1192C42—142no—
1193C42—142no—
1194C42—142no—
1195C42—142no—
1196C42—142no—
1197C42—142no—
1198C42—142no—
1199C42—142no—
1200C42—142no—
1201C42—281no—
1202C42—281no—
1203C2×C7C2×#52911yescharacteristic
1204C2×C7C2×#52911yescharacteristic
1205C2×C7#345511yescharacteristic
1206C2×C7#347511yescharacteristic
1207C2×C7#347511yescharacteristic
1208C2×C7#347511yescharacteristic
1209C2×C7#347511yescharacteristic
1210D7—24no—
1211D7—42no—
1212D7—81no—
1213C23—72no—
1214C23—72no—
1215C23—72no—
1216C23—72no—
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—284no—
1236D4—148no—
1237D4—284no—
1238D4—284no—
1239C2×C4—21no—
1240C2×C4—21no—
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—72no—
1280C2×C4—72no—
1281C2×C4—72no—
1282C2×C4—72no—
1283C2×C4—72no—
1284C2×C4—72no—
1285C2×C4—148no—
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—284no—
1320C2×C4—284no—
1321C2×C4—284no—
1322C2×C4—284no—
1323C2×C4—284no—
1324C2×C4—284no—
1325C2×C4—284no—
1326C2×C4—284no—
1327C2×C4—284no—
1328C2×C4—284no—
1329C2×C4D7×#4112yes—
1330C2×C4D7×#4112yes—
1331C2×C4D7×#4112yes—
1332C2×C4D7×#4112yes—
1333C2×C4D7×#4112yes—
1334C7#3481111yescharacteristic, complemented, Sylow
1335C22—74no—
1336C22—142no—
1337C22—142no—
1338C22—142no—
1339C22—142no—
1340C22—142no—
1341C22—142no—
1342C22—142no—
1343C22—142no—
1344C22—142no—
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×D7×#4111yescharacteristic
1358C22C2×D7×#4111yescharacteristic
1359C22C2×D7×#4111yescharacteristic
1360C22C2×D7×#4111yescharacteristic
1361C22#9062011yescharacteristic
1362C22#9062011yescharacteristic
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—22no—
1367C4—22no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—74no—
1379C4—142no—
1380C4—142no—
1381C4—142no—
1382C4—281no—
1383C4—281no—
1384C4—281no—
1385C4—281no—
1386C4—281no—
1387C4—281no—
1388C4—281no—
1389C4—281no—
1390C4—281no—
1391C2—144no—
1392C2—282no—
1393C2—561no—
1394C2D7×#52911yescharacteristic
1395C2D7×#52911yescharacteristic
1396C2#1174356311yescharacteristic
1397C2#1174389411yescharacteristic
1398C2#1174389411yescharacteristic
1399C2#1174389511yescharacteristic
1400C2#1174404711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2528C2
prime radicalC2×#6458C22
hypercenter#2528D7
hypocenterC7#34811
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2528

Complements

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

NH ≅ G/Ntype
1. C7×#2528C2semidirect
2. #11735876C2semidirect
3. #11735854C2semidirect
4. #11735794C2semidirect
5. #11735789C2semidirect
6. #11735577C2semidirect
7. #11735576C2semidirect
9. #11735186C2semidirect
10. #11733503C2semidirect
12. #11732796C2semidirect
13. #11732785C2semidirect
15. #11732760C2semidirect
16. #11732513C2semidirect
17. #11732512C2semidirect
18. #11732511C2semidirect
19. #11732386C2semidirect
20. #11732385C2semidirect
21. #11732385C2semidirect
22. #11732384C2semidirect
23. #11732383C2semidirect
24. #11732382C2semidirect
25. #11732382C2semidirect
26. #11731678C2semidirect
27. #11731592C2semidirect
28. #11731152C2semidirect
29. C4×#6456C2semidirect
30. #11730866C2semidirect
31. D7×#376C2semidirect
363. #2528D7semidirect
1334. C7#34811semidirect

Maximal subgroups

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

subgroupindex
C7×#25282
#117358762
#117358542
#117357942
#117357892
#117355772
#117355762
#117353932
#117351862
#117335032
#117334092
#117327962
#117327852
#117327652
#117327602
#117325132
#117325122
#117325112
#117323862
#117323852
#117323842
#117323832
#117323822
#117316782
#117315922
#117311522
C4×#64562
#117308662
D7×#3762
#348117