Finite Group Databasebeta

← #13518253

Subgroups — #13518253

Order 1792.

2306 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90304C211yesmaximal, characteristic
2C7×#2361C211yesmaximal, characteristic, complemented
3#11740084C211yesmaximal, characteristic, complemented
4#11739843C211yesmaximal, characteristic, complemented
5#11739841C211yesmaximal, characteristic, complemented
6#11739840C211yesmaximal, characteristic, complemented
7#11739787C211yesmaximal, characteristic, complemented
8#11739784C211yesmaximal, characteristic, complemented
9C4×#6499C211yesmaximal, characteristic, complemented
10#11739606C211yesmaximal, characteristic, complemented
11#11739603C211yesmaximal, characteristic, complemented
12#11733874C211yesmaximal, characteristic, complemented
13#11733753C211yesmaximal, characteristic, complemented
14#11733437C211yesmaximal, characteristic, complemented
15#11733421C211yesmaximal, characteristic, complemented
16#11733277C211yesmaximal, characteristic, complemented
17#11732927C211yesmaximal, characteristic, complemented
18#11732912C211yesmaximal, characteristic, complemented
19#11732895C211yesmaximal, characteristic, complemented
20#11732327C211yesmaximal, characteristic, complemented
21#11732122C211yesmaximal, characteristic, complemented
22#11732116C211yesmaximal, characteristic, complemented
23#11732114C211yesmaximal, characteristic, complemented
24#11732040C211yesmaximal, characteristic, complemented
25#11731847C211yesmaximal, characteristic, complemented
26#11731833C211yesmaximal, characteristic, complemented
27#11731828C211yesmaximal, characteristic, complemented
28#11731093C211yesmaximal, characteristic, complemented
29C4×#6461C211yesmaximal, characteristic, complemented
30#11730908C211yesmaximal, characteristic, complemented
31#11730896C211yesmaximal, characteristic, complemented
32C2×C7×#121C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic, complemented
36C22×C7×C4⋊C4C2211yescharacteristic, complemented
37C2×#6502C2211yescharacteristic
38C2×#6501C2211yescharacteristic
39C2×#6500C2211yescharacteristic
40C2×#6500C2211yescharacteristic
41C2×#6499C2211yescharacteristic
42C2×#6498C2211yescharacteristic
43C2×#6492C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic
46C22×(C2×D7)⋊C4C2211yescharacteristic
47#90304C4116yescomplemented
48C2×#6461C2211yescharacteristic
49C2×#6459C2211yescharacteristic
50C2×#6455C2211yescharacteristic
51C2×#6448C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic
54C2×D7×C22⋊C4C2211yescharacteristic
55C2×D7×C22⋊C4C2211yescharacteristic
56C2×#6442C2211yescharacteristic
57C2×#6440C2211yescharacteristic, complemented
58C2×#6435C2211yescharacteristic
59C2×C4×Dic14C2211yescharacteristic, complemented
60C7×#390C2211yescharacteristic
61C7×#389C2211yescharacteristic, complemented
62C7×#388C2211yescharacteristic
63C7×#388C2211yescharacteristic, complemented
64C7×#386C2211yescharacteristic
65C7×#386C2211yescharacteristic, complemented
66C7×#385C2211yescharacteristic
67C7×#385C2211yescharacteristic, complemented
68C4×C7×C4⋊C4C2211yescharacteristic, complemented
69C4×C7×C22⋊C4C2211yescharacteristic, complemented
70#89993C2211yescharacteristic
71#89993C2211yescharacteristic, complemented
72#89992C2211yescharacteristic
73#89992C2211yescharacteristic
74#89992C2211yescharacteristic
75#89992C2211yescharacteristic, complemented
76#89985C2211yescharacteristic
77#89985C2211yescharacteristic
78#89985C2211yescharacteristic
79#89985C2211yescharacteristic
80#89985C2211yescharacteristic
81#89984C2211yescharacteristic, complemented
82#89983C2211yescharacteristic, complemented
83#89982C2211yescharacteristic
84#89982C2211yescharacteristic, complemented
85#89982C2211yescharacteristic, complemented
86C4×C22⋊Dic7C2211yescharacteristic
87C4×C22⋊Dic7C2211yescharacteristic
88C4×C22⋊Dic7C2211yescharacteristic, complemented
89C4×C22⋊Dic7C2211yescharacteristic, complemented
90C4×C22⋊Dic7C2211yescharacteristic, complemented
91C2×C7⋊#95C2211yescharacteristic, complemented
92#89762C2211yescharacteristic
93#89762C2211yescharacteristic
94#89762C2211yescharacteristic
95#89762C2211yescharacteristic
96#89762C2211yescharacteristic
97#89762C2211yescharacteristic
98#89761C2211yescharacteristic
99#89761C2211yescharacteristic
100#89761C2211yescharacteristic
101#89759C2211yescharacteristic
102#89759C2211yescharacteristic
103#89753C2211yescharacteristic, complemented
104#89753C2211yescharacteristic, complemented
105#89750C2211yescharacteristic, complemented
106#89750C2211yescharacteristic, complemented
107#89750C2211yescharacteristic, complemented
108#89750C2211yescharacteristic, complemented
109#89750C2211yescharacteristic, complemented
110#89749C2211yescharacteristic, complemented
111#89749C2211yescharacteristic, complemented
112C4⋊C4×Dic7C2211yescharacteristic, complemented
113#89746C2211yescharacteristic, complemented
114#89745C2211yescharacteristic, complemented
115#89744C2211yescharacteristic, complemented
116#89744C2211yescharacteristic, complemented
117#89730C2211yescharacteristic
118#89729C2211yescharacteristic
119#89729C2211yescharacteristic
120#89729C2211yescharacteristic
121#89729C2211yescharacteristic
122#89729C2211yescharacteristic
123#89729C2211yescharacteristic
124#89728C2211yescharacteristic
125#89728C2211yescharacteristic
126#89727C2211yescharacteristic
127#89727C2211yescharacteristic
128#89723C2211yescharacteristic
129#89723C2211yescharacteristic, complemented
130#89722C2211yescharacteristic
131#89722C2211yescharacteristic, complemented
132#89718C2211yescharacteristic
133#89717C2211yescharacteristic
134#89717C2211yescharacteristic
135#89717C2211yescharacteristic
136#89717C2211yescharacteristic
137#89717C2211yescharacteristic
138#89717C2211yescharacteristic, complemented
139#89717C2211yescharacteristic, complemented
140#89717C2211yescharacteristic, complemented
141#89717C2211yescharacteristic, complemented
142#89717C2211yescharacteristic, complemented
143#89716C2211yescharacteristic
144#89716C2211yescharacteristic, complemented
145C22⋊C4×Dic7C2211yescharacteristic
146C22⋊C4×Dic7C2211yescharacteristic
147C22⋊C4×Dic7C2211yescharacteristic, complemented
148C22⋊C4×Dic7C2211yescharacteristic, complemented
149C22⋊C4×Dic7C2211yescharacteristic, complemented
150#89712C2211yescharacteristic
151#89712C2211yescharacteristic
152#89712C2211yescharacteristic
153#89712C2211yescharacteristic
154C4×(C2×D7)⋊C4C2211yescharacteristic
155C4×(C2×D7)⋊C4C2211yescharacteristic
156C4×(C2×D7)⋊C4C2211yescharacteristic
157C4×C4⋊Dic7C2211yescharacteristic, complemented
158#89705C2211yescharacteristic, complemented
159#89705C2211yescharacteristic, complemented
160C4×Dic7⋊C4C2211yescharacteristic, complemented
161C4×Dic7⋊C4C2211yescharacteristic, complemented
162C4×Dic7⋊C4C2211yescharacteristic, complemented
163C42×Dic7C2211yescharacteristic, complemented
164#89442C2211yescharacteristic
165#89442C2211yescharacteristic
166#89442C2211yescharacteristic
167#89442C2211yescharacteristic
168#89441C2211yescharacteristic
169#89441C2211yescharacteristic
170#89440C2211yescharacteristic
171#89438C2211yescharacteristic
172#89438C2211yescharacteristic
173#89438C2211yescharacteristic
174#89436C2211yescharacteristic
175#89436C2211yescharacteristic
176#89427C2211yescharacteristic, complemented
177#89426C2211yescharacteristic, complemented
178#89425C2211yescharacteristic, complemented
179#89423C2211yescharacteristic, complemented
180#89422C2211yescharacteristic, complemented
181#89421C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34454—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×Dic14C2311yescharacteristic
210C7×#121C2×C418yescomplemented
211C4×C7×D4—42no—
212C4×C7×D4—42no—
213C4×C7×D4—42no—
214C2×C7×C4⋊C4—42no—
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252#6502C2×C418yescomplemented
253#6501C2×C418yescomplemented
254#6500C2×C418yescomplemented
255#6500C2×C418yescomplemented
256#6499C2×C418yescomplemented
257#6498C2×C418yescomplemented
258#6492C2×C418yescomplemented
259C4×C22⋊D7—42no—
260C4×C22⋊D7C2×C418yescomplemented
261C2×(C2×D7)⋊C4—42no—
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×C4×Dic7C2311yescharacteristic
302C2×C4×Dic7C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319#6461C2×C418yescomplemented
320#6459C2×C418yescomplemented
321#6455—42no—
322#6448C2×C418yescomplemented
323(C22⋊D7)⋊C4—42no—
324(C22⋊D7)⋊C4C2×C418yescomplemented
325D7×C22⋊C4—42no—
326D7×C22⋊C4C2×C418yescomplemented
327#6442C2×C418yescomplemented
328#6440—42no—
329#6435—42no—
330C4×Dic14—42no—
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
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C2×#538—71no—
372#2379—71no—
373#2378—71no—
374#2377—71no—
375#2375—71no—
376#2374—71no—
377#2367—71no—
378#2364—71no—
379#2363—71no—
380#2362—71no—
381#2361D711yescharacteristic, complemented
382#2359—71no—
383#2358—71no—
384#2357—71no—
385#2352—71no—
386#2342—71no—
387#2342—71no—
388#2337—71no—
389#2335—71no—
390#2334—71no—
391#2334—71no—
392#2334—71no—
393#2333—71no—
394#2324—71no—
395#2322—71no—
396#2321—71no—
397#2321—71no—
398#2318—71no—
399C4×#126—71no—
400C4×#124—71no—
401#2293—71no—
402C24×C7C2411yescharacteristic
403C24×C7C2411yescharacteristic
404C24×C7C2411yescharacteristic
405C23×D7—41no—
406C23×D7—41no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7—41no—
411C23×D7C22×C414yes—
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C2×C7×D4—41no—
415C2×C7×D4—41no—
416C2×C7×D4—41no—
417C2×C7×D4—41no—
418C2×C7×D4—41no—
419C2×C7×D4—41no—
420C2×C7×D4C22×C414yes—
421C2×C7×D4C22×C414yes—
422C2×C7×D4C22×C414yes—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—41no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7—41no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
437C22×C4×C7C22×C414yes—
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7C22×C414yes—
459C2×C22⋊D7C22×C414yes—
460C2×C22⋊D7C22×C414yes—
461C2×C22⋊D7C22×C414yes—
462C22×Dic7—41no—
463C22×Dic7—41no—
464C22×Dic7—41no—
465C22×Dic7—41no—
466C22×Dic7—41no—
467C22×Dic7—41no—
468C22×Dic7—41no—
469C22×Dic7—41no—
470C22×Dic7C22×C414yes—
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C2×C4×D7—22no—
486C2×C4×D7—41no—
487C2×C4×D7—41no—
488C2×C4×D7—41no—
489C2×C4×D7—41no—
490C2×C4×D7—41no—
491C2×C4×D7—41no—
492C2×C4×D7—41no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7C22×C414yes—
496C2×C4×D7C22×C414yes—
497C2×Dic14—41no—
498C2×Dic14—41no—
499C2×Dic14C22×C414yes—
500C7×C4⋊C4—22no—
501C7×C4⋊C4—22no—
502C7×C4⋊C4—41no—
503C7×C4⋊C4—41no—
504C7×C4⋊C4—41no—
505C7×C4⋊C4—41no—
506C7×C4⋊C4C22×C414yes—
507C7×C22⋊C4—22no—
508C7×C22⋊C4—22no—
509C7×C22⋊C4—22no—
510C7×C22⋊C4—22no—
511C7×C22⋊C4—41no—
512C7×C22⋊C4—41no—
513C7×C22⋊C4—41no—
514C7×C22⋊C4—41no—
515C7×C22⋊C4C22×C414yes—
516C7×C22⋊C4C22×C414yes—
517C42×C7—22no—
518C42×C7—22no—
519C42×C7—41no—
520C42×C7—41no—
521C22⋊Dic7—41no—
522C22⋊Dic7—41no—
523C22⋊Dic7—41no—
524C22⋊Dic7—41no—
525C22⋊Dic7—41no—
526C22⋊Dic7—41no—
527C22⋊Dic7—41no—
528C22⋊Dic7—41no—
529C22⋊Dic7—41no—
530C22⋊Dic7—41no—
531C22⋊Dic7C22×C414yes—
532C22⋊Dic7C22×C414yes—
533C22⋊Dic7C22×C414yes—
534C22⋊Dic7C22×C414yes—
535C22⋊Dic7C22×C414yes—
536C22⋊Dic7C22×C414yes—
537(C2×D7)⋊C4—22no—
538(C2×D7)⋊C4—22no—
539(C2×D7)⋊C4—22no—
540(C2×D7)⋊C4—41no—
541(C2×D7)⋊C4—41no—
542(C2×D7)⋊C4—41no—
543(C2×D7)⋊C4—41no—
544(C2×D7)⋊C4—41no—
545(C2×D7)⋊C4—41no—
546(C2×D7)⋊C4—41no—
547(C2×D7)⋊C4—41no—
548(C2×D7)⋊C4—41no—
549(C2×D7)⋊C4—41no—
550(C2×D7)⋊C4—41no—
551(C2×D7)⋊C4C22×C414yes—
552(C2×D7)⋊C4C22×C414yes—
553(C2×D7)⋊C4C22×C414yes—
554(C2×D7)⋊C4C22×C414yes—
555(C2×D7)⋊C4C22×C414yes—
556(C2×D7)⋊C4C22×C414yes—
557C4⋊Dic7—41no—
558C4⋊Dic7—41no—
559C4⋊Dic7—41no—
560C4⋊Dic7—41no—
561C4⋊Dic7C22×C414yes—
562Dic7⋊C4—22no—
563Dic7⋊C4—22no—
564Dic7⋊C4—22no—
565Dic7⋊C4—41no—
566Dic7⋊C4—41no—
567Dic7⋊C4—41no—
568Dic7⋊C4—41no—
569Dic7⋊C4—41no—
570Dic7⋊C4—41no—
571Dic7⋊C4—41no—
572Dic7⋊C4C22×C414yes—
573Dic7⋊C4C22×C414yes—
574Dic7⋊C4C22×C414yes—
575Dic7⋊C4C22×C414yes—
576C4×Dic7—22no—
577C4×Dic7—41no—
578C4×Dic7—41no—
579C4×Dic7—41no—
580C4×Dic7—41no—
581C4×Dic7—41no—
582C4×Dic7—41no—
583C4×Dic7—41no—
584C4×Dic7—41no—
585C4×Dic7—41no—
586C4×Dic7—41no—
587C4×Dic7—41no—
588C4×Dic7—41no—
589C4×Dic7—41no—
590C4×Dic7—41no—
591C4×Dic7—41no—
592C4×Dic7C22×C414yes—
593C4×Dic7C22×C414yes—
594#538—716no—
595C2×#126—71no—
596C2×#126—71no—
597C2×#124—71no—
598C2×#124—71no—
599C2×#123—71no—
600C2×#123—71no—
601C2×C22⋊Q8—71no—
602C2×#121—71no—
603C2×#121—71no—
604C2×#121C2×D711yescharacteristic
605C2×#120—71no—
606C2×#120—71no—
607C2×C4×Q8—71no—
608C2×C4×D4—71no—
609C2×C4×D4—71no—
610C2×C4×D4—71no—
611C2×C4×D4—71no—
612C2×C4×D4C2×D711yescharacteristic
613C2×C4×D4C2×D711yescharacteristic
614C2×C4×D4C2×D711yescharacteristic, complemented
615C2×#117—71no—
616C2×#117—71no—
617C2×#117—71no—
618C22×C4⋊C4C2×D711yescharacteristic, complemented
619C22×C22⋊C4—71no—
620C22×C22⋊C4—71no—
621C22×C22⋊C4—71no—
622#391—71no—
623#391—71no—
624#391—71no—
625#390—71no—
626#390—71no—
627#390—71no—
628#390—71no—
629#390—71no—
630#390—71no—
631#390—71no—
632#390—71no—
633#390C2×D711yescharacteristic
634#389—71no—
635#389—71no—
636#389—71no—
637#389—71no—
638#389—71no—
639#389C2×D711yescharacteristic, complemented
640#388—71no—
641#388—71no—
642#388—71no—
643#388—71no—
644#388—71no—
645#388—71no—
646#388—71no—
647#388—71no—
648#388—71no—
649#388—71no—
650#388—71no—
651#388—71no—
652#388—71no—
653#388—71no—
654#388—71no—
655#388—71no—
656#388—71no—
657#388—71no—
658#388—71no—
659#388—71no—
660#388—71no—
661#388—71no—
662#388—71no—
663#388—71no—
664#388—71no—
665#388—71no—
666#388—71no—
667#388—71no—
668#388—71no—
669#388—71no—
670#388C2×D711yescharacteristic
671#388C2×D711yescharacteristic, complemented
672#387—71no—
673#387—71no—
674#387—71no—
675#387—71no—
676#387—71no—
677#387—71no—
678#387—71no—
679#387—71no—
680#387—71no—
681#387—71no—
682#387—71no—
683#387—71no—
684#386—71no—
685#386—71no—
686#386—71no—
687#386—71no—
688#386—71no—
689#386—71no—
690#386—71no—
691#386—71no—
692#386—71no—
693#386—71no—
694#386—71no—
695#386—71no—
696#386C2×D711yescharacteristic
697#386C2×D711yescharacteristic, complemented
698#385—71no—
699#385—71no—
700#385—71no—
701#385—71no—
702#385—71no—
703#385—71no—
704#385—71no—
705#385—71no—
706#385—71no—
707#385—71no—
708#385C2×D711yescharacteristic
709#385C2×D711yescharacteristic, complemented
710#383—71no—
711#382—71no—
712#382—71no—
713#382—71no—
714#381—71no—
715#381—71no—
716#381—71no—
717#380—71no—
718#380—71no—
719#380—71no—
720#379—71no—
721#379—71no—
722C4×C4⋊C4—71no—
723C4×C4⋊C4—71no—
724C4×C4⋊C4—71no—
725C4×C4⋊C4—71no—
726C4×C4⋊C4—71no—
727C4×C4⋊C4—71no—
728C4×C4⋊C4—71no—
729C4×C4⋊C4—71no—
730C4×C4⋊C4C2×D711yescharacteristic, complemented
731C4×C22⋊C4—71no—
732C4×C22⋊C4—71no—
733C4×C22⋊C4—71no—
734C4×C22⋊C4—71no—
735C4×C22⋊C4—71no—
736C4×C22⋊C4—71no—
737C4×C22⋊C4—71no—
738C4×C22⋊C4—71no—
739C4×C22⋊C4—71no—
740C4×C22⋊C4—71no—
741C4×C22⋊C4—71no—
742C4×C22⋊C4—71no—
743C4×C22⋊C4—71no—
744C4×C22⋊C4—71no—
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4C2×D711yescharacteristic, complemented
748C2×#95—71no—
749C43—71no—
750C23×C7—21no—
751C23×C7—21no—
752C23×C7—21no—
753C23×C7—21no—
754C23×C7—21no—
755C23×C7—21no—
756C23×C7—21no—
757C23×C7—21no—
758C23×C7—21no—
759C23×C7—21no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7C23×C412yes—
769C23×C7C23×C412yes—
770C23×C7C23×C412yes—
771C23×C7C2511yescharacteristic
772C22×D7—21no—
773C22×D7—21no—
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—44no—
785C22×D7—44no—
786C22×D7—44no—
787C22×D7—82no—
788C22×D7—82no—
789C22×D7—82no—
790C22×D7—82no—
791C22×D7C23×C412yes—
792C22×D7C23×C412yes—
793C7×D4—44no—
794C7×D4—44no—
795C7×D4—44no—
796C2×C4×C7—21no—
797C2×C4×C7—21no—
798C2×C4×C7—21no—
799C2×C4×C7—21no—
800C2×C4×C7—21no—
801C2×C4×C7—21no—
802C2×C4×C7—21no—
803C2×C4×C7—21no—
804C2×C4×C7—21no—
805C2×C4×C7—21no—
806C2×C4×C7—21no—
807C2×C4×C7—21no—
808C2×C4×C7—21no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—44no—
827C2×C4×C7—82no—
828C2×C4×C7—82no—
829C2×C4×C7—82no—
830C2×C4×C7—82no—
831C2×C4×C7C23×C412yes—
832C2×C4×C7C23×C412yes—
833C2×C4×C7C23×C412yes—
834C2×C4×C7C23×C412yes—
835C2×C4×C7H(5,𝔽2)12yes—
836C2×C4×C7H(5,𝔽2)12yes—
837C22⋊D7—44no—
838C22⋊D7—44no—
839C22⋊D7—44no—
840C22⋊D7—44no—
841C2×Dic7—21no—
842C2×Dic7—21no—
843C2×Dic7—21no—
844C2×Dic7—21no—
845C2×Dic7—21no—
846C2×Dic7—21no—
847C2×Dic7—21no—
848C2×Dic7—21no—
849C2×Dic7—21no—
850C2×Dic7—21no—
851C2×Dic7—21no—
852C2×Dic7—21no—
853C2×Dic7—21no—
854C2×Dic7—21no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—44no—
878C2×Dic7—82no—
879C2×Dic7—82no—
880C2×Dic7C23×C412yes—
881C2×Dic7C23×C412yes—
882C2×Dic7C23×C412yes—
883C2×Dic7C23×C412yes—
884C2×Dic7C23×C412yes—
885C2×Dic7C23×C412yes—
886C4×D7—44no—
887C4×D7—44no—
888C4×D7—82no—
889C4×D7—82no—
890Dic14—44no—
891C25—71no—
892C22×Q8—71no—
893C22×D4—71no—
894C22×D4—71no—
895C22×D4—71no—
896C22×D4—71no—
897C22×D4C22×D711yescharacteristic
898C22×D4C22×D711yescharacteristic
899C22×D4C22×D711yescharacteristic
900C23×C4—71no—
901C23×C4—71no—
902C23×C4—71no—
903C23×C4—71no—
904C23×C4—71no—
905C23×C4—71no—
906C23×C4—71no—
907C23×C4C22×D711yescharacteristic
908C23×C4C22×D711yescharacteristic
909C23×C4C22×D711yescharacteristic
910C23×C4C22×D711yescharacteristic
911C23×C4C22×D711yescharacteristic
912#126—78no—
913#126—78no—
914#124—78no—
915#124—78no—
916#123—78no—
917#123—78no—
918C22⋊Q8—78no—
919#121—78no—
920#121—78no—
921#121C4×D718yescomplemented
922#120—78no—
923#120—78no—
924C4×Q8—282no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—78no—
929C4×D4—78no—
930C4×D4—282no—
931C4×D4—282no—
932#117—282no—
933#117—282no—
934#117—282no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4—71no—
937C2×C4⋊C4—71no—
938C2×C4⋊C4—71no—
939C2×C4⋊C4—71no—
940C2×C4⋊C4—71no—
941C2×C4⋊C4—71no—
942C2×C4⋊C4—71no—
943C2×C4⋊C4—71no—
944C2×C4⋊C4—71no—
945C2×C4⋊C4—71no—
946C2×C4⋊C4—71no—
947C2×C4⋊C4—71no—
948C2×C4⋊C4—71no—
949C2×C4⋊C4—71no—
950C2×C4⋊C4—71no—
951C2×C4⋊C4—71no—
952C2×C4⋊C4—71no—
953C2×C4⋊C4—71no—
954C2×C4⋊C4—71no—
955C2×C4⋊C4C22×D711yescharacteristic
956C2×C4⋊C4C22×D711yescharacteristic
957C2×C4⋊C4C22×D711yescharacteristic
958C2×C4⋊C4C22×D711yescharacteristic
959C2×C4⋊C4C22×D711yescharacteristic
960C2×C4⋊C4C22×D711yescharacteristic
961C2×C4⋊C4C22×D711yescharacteristic
962C2×C22⋊C4—71no—
963C2×C22⋊C4—71no—
964C2×C22⋊C4—71no—
965C2×C22⋊C4—71no—
966C2×C22⋊C4—71no—
967C2×C22⋊C4—71no—
968C2×C22⋊C4—71no—
969C2×C22⋊C4—71no—
970C2×C22⋊C4—71no—
971C2×C22⋊C4—71no—
972C2×C22⋊C4—71no—
973C2×C22⋊C4—71no—
974C2×C22⋊C4—78no—
975C2×C22⋊C4—71no—
976C2×C22⋊C4—71no—
977C2×C22⋊C4—71no—
978C2×C22⋊C4—71no—
979C2×C22⋊C4—71no—
980C2×C22⋊C4—71no—
981C2×C22⋊C4—71no—
982C2×C22⋊C4—71no—
983C2×C22⋊C4—71no—
984C2×C22⋊C4—71no—
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—282no—
1000C2×C22⋊C4—282no—
1001C2×C22⋊C4C22×D711yescharacteristic
1002C2×C22⋊C4C22×D711yescharacteristic
1003C2×C22⋊C4C22×D711yescharacteristic
1004C2×C22⋊C4C22×D711yescharacteristic
1005C2×C22⋊C4C22×D711yescharacteristic
1006C2×C22⋊C4C22×D711yescharacteristic
1007C2×C22⋊C4C22×D711yescharacteristic
1008C2×C22⋊C4C22×D711yescharacteristic
1009C2×C22⋊C4C22×D711yescharacteristic
1010C2×C22⋊C4C22×D711yescharacteristic
1011C2×C42—71no—
1012C2×C42—71no—
1013C2×C42—71no—
1014C2×C42—71no—
1015C2×C42—71no—
1016C2×C42—71no—
1017C2×C42—71no—
1018C2×C42—71no—
1019C2×C42—71no—
1020C2×C42—71no—
1021C2×C42—71no—
1022C2×C42—71no—
1023C2×C42—71no—
1024C2×C42—71no—
1025C2×C42—71no—
1026C2×C42—71no—
1027C2×C42—71no—
1028C2×C42—71no—
1029C2×C42C22×D711yescharacteristic
1030C2×C42C22×D711yescharacteristic
1031C2×C42C22×D711yescharacteristic
1032C2×C42C22×D711yescharacteristic
1033#95—71no—
1034#95—71no—
1035#95—71no—
1036#95—71no—
1037#95—71no—
1038#95—71no—
1039#95—71no—
1040#95—71no—
1041#95—71no—
1042#95—71no—
1043#95—71no—
1044#95—71no—
1045#95—71no—
1046#95—71no—
1047#95—71no—
1048#95—71no—
1049#95—71no—
1050#95—71no—
1051#95—71no—
1052#95—71no—
1053#95—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95C22×D711yescharacteristic
1068#95C22×D711yescharacteristic
1069#95C22×D711yescharacteristic
1070#95C22×D711yescharacteristic
1071#95C22×D711yescharacteristic
1072#95C22×D711yescharacteristic
1073C22×C7—22no—
1074C22×C7—22no—
1075C22×C7—22no—
1076C22×C7—22no—
1077C22×C7—22no—
1078C22×C7—22no—
1079C22×C7—22no—
1080C22×C7—22no—
1081C22×C7—22no—
1082C22×C7—41no—
1083C22×C7—41no—
1084C22×C7—41no—
1085C22×C7—41no—
1086C22×C7—41no—
1087C22×C7—41no—
1088C22×C7—41no—
1089C22×C7—41no—
1090C22×C7—41no—
1091C22×C7—41no—
1092C22×C7—41no—
1093C22×C7—41no—
1094C22×C7C24×C411yescharacteristic
1095C22×C7C2×H(5,𝔽2)11yescharacteristic
1096C22×C7C2×H(5,𝔽2)11yescharacteristic
1097C22×C7#58511yescharacteristic
1098C22×C7#58511yescharacteristic
1099C22×C7#58511yescharacteristic
1100C22×C7#58511yescharacteristic
1101C2×D7—22no—
1102C2×D7—22no—
1103C2×D7—22no—
1104C2×D7—22no—
1105C2×D7—22no—
1106C2×D7—22no—
1107C2×D7—41no—
1108C2×D7—41no—
1109C2×D7—41no—
1110C2×D7—41no—
1111C2×D7—41no—
1112C2×D7—41no—
1113C2×D7—41no—
1114C2×D7—41no—
1115C2×D7—88no—
1116C4×C7—22no—
1117C4×C7—22no—
1118C4×C7—22no—
1119C4×C7—22no—
1120C4×C7—22no—
1121C4×C7—22no—
1122C4×C7—41no—
1123C4×C7—41no—
1124C4×C7—41no—
1125C4×C7—41no—
1126C4×C7—41no—
1127C4×C7—41no—
1128Dic7—22no—
1129Dic7—22no—
1130Dic7—22no—
1131Dic7—22no—
1132Dic7—22no—
1133Dic7—22no—
1134Dic7—41no—
1135Dic7—41no—
1136Dic7—41no—
1137Dic7—41no—
1138Dic7—41no—
1139Dic7—41no—
1140Dic7—41no—
1141Dic7—41no—
1142C24—71no—
1143C24—71no—
1144C24—74no—
1145C24—281no—
1146C24—281no—
1147C24—281no—
1148C24—281no—
1149C24—281no—
1150C24—281no—
1151C24C23×D711yescharacteristic
1152C24C23×D711yescharacteristic
1153C24C23×D711yescharacteristic
1154C2×Q8—74no—
1155C2×Q8—281no—
1156C2×Q8—281no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—74no—
1164C2×D4—74no—
1165C2×D4—74no—
1166C2×D4—74no—
1167C2×D4—281no—
1168C2×D4—281no—
1169C2×D4—281no—
1170C2×D4—281no—
1171C2×D4—281no—
1172C2×D4—281no—
1173C2×D4—281no—
1174C2×D4—281no—
1175C2×D4C2×C4×D714yes—
1176C2×D4C2×C4×D714yes—
1177C2×D4C2×C4×D714yes—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—71no—
1193C22×C4—71no—
1194C22×C4—71no—
1195C22×C4—71no—
1196C22×C4—71no—
1197C22×C4—71no—
1198C22×C4—74no—
1199C22×C4—74no—
1200C22×C4—74no—
1201C22×C4—71no—
1202C22×C4—71no—
1203C22×C4—71no—
1204C22×C4—71no—
1205C22×C4—71no—
1206C22×C4—71no—
1207C22×C4—71no—
1208C22×C4—71no—
1209C22×C4—142no—
1210C22×C4—281no—
1211C22×C4—281no—
1212C22×C4—281no—
1213C22×C4—281no—
1214C22×C4—281no—
1215C22×C4—281no—
1216C22×C4—281no—
1217C22×C4—281no—
1218C22×C4—281no—
1219C22×C4—281no—
1220C22×C4—281no—
1221C22×C4—281no—
1222C22×C4—281no—
1223C22×C4—281no—
1224C22×C4—281no—
1225C22×C4—281no—
1226C22×C4—281no—
1227C22×C4C2×C4×D714yes—
1228C22×C4C23×D711yescharacteristic
1229C22×C4C23×D711yescharacteristic
1230C22×C4C23×D711yescharacteristic
1231C22×C4C23×D711yescharacteristic
1232C22×C4C23×D711yescharacteristic
1233C22×C4C23×D711yescharacteristic
1234C22×C4C23×D711yescharacteristic
1235C22×C4C23×D711yescharacteristic
1236C22×C4C23×D711yescharacteristic
1237C22×C4C23×D711yescharacteristic
1238C22×C4C23×D711yescharacteristic
1239C22×C4C23×D711yescharacteristic
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—74no—
1247C4⋊C4—74no—
1248C4⋊C4—74no—
1249C4⋊C4—74no—
1250C4⋊C4—74no—
1251C4⋊C4—142no—
1252C4⋊C4—142no—
1253C4⋊C4—142no—
1254C4⋊C4—281no—
1255C4⋊C4—281no—
1256C4⋊C4—281no—
1257C4⋊C4—281no—
1258C4⋊C4—281no—
1259C4⋊C4—281no—
1260C4⋊C4—281no—
1261C4⋊C4—281no—
1262C4⋊C4—281no—
1263C4⋊C4—281no—
1264C4⋊C4—281no—
1265C4⋊C4C2×C4×D714yes—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—74no—
1275C22⋊C4—74no—
1276C22⋊C4—74no—
1277C22⋊C4—74no—
1278C22⋊C4—74no—
1279C22⋊C4—74no—
1280C22⋊C4—74no—
1281C22⋊C4—74no—
1282C22⋊C4—74no—
1283C22⋊C4—74no—
1284C22⋊C4—74no—
1285C22⋊C4—74no—
1286C22⋊C4—142no—
1287C22⋊C4—142no—
1288C22⋊C4—142no—
1289C22⋊C4—281no—
1290C22⋊C4—281no—
1291C22⋊C4—281no—
1292C22⋊C4—281no—
1293C22⋊C4—281no—
1294C22⋊C4—281no—
1295C22⋊C4—281no—
1296C22⋊C4—281no—
1297C22⋊C4—281no—
1298C22⋊C4—281no—
1299C22⋊C4—281no—
1300C22⋊C4—281no—
1301C22⋊C4—281no—
1302C22⋊C4—281no—
1303C22⋊C4—281no—
1304C22⋊C4—281no—
1305C22⋊C4—281no—
1306C22⋊C4—281no—
1307C22⋊C4—281no—
1308C22⋊C4—281no—
1309C22⋊C4—281no—
1310C22⋊C4C2×C4×D714yes—
1311C22⋊C4C2×C4×D714yes—
1312C42—22no—
1313C42—22no—
1314C42—41no—
1315C42—41no—
1316C42—74no—
1317C42—74no—
1318C42—142no—
1319C42—281no—
1320C42—281no—
1321C42—281no—
1322C42—281no—
1323C42—281no—
1324C42—281no—
1325C42—281no—
1326C42—281no—
1327C42—281no—
1328C42—281no—
1329C42—281no—
1330C42—281no—
1331C42—281no—
1332C42—281no—
1333C42—281no—
1334C2×C7—42no—
1335C2×C7—42no—
1336C2×C7—42no—
1337C2×C7#342811yescharacteristic
1338C2×C7C4×H(5,𝔽2)11yescharacteristic
1339C2×C7C4×H(5,𝔽2)11yescharacteristic
1340C2×C7#355811yescharacteristic
1341C2×C7#356011yescharacteristic
1342C2×C7#356211yescharacteristic
1343C2×C7#356611yescharacteristic
1344D7—42no—
1345D7—42no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—72no—
1365C23—72no—
1366C23—141no—
1367C23—141no—
1368C23—141no—
1369C23—141no—
1370C23—141no—
1371C23—141no—
1372C23—141no—
1373C23—141no—
1374C23—141no—
1375C23—141no—
1376C23—141no—
1377C23—141no—
1378C23—284no—
1379C23—284no—
1380C23—284no—
1381C23—562no—
1382C23—562no—
1383C23—562no—
1384C23—562no—
1385C23C22×C4×D712yes—
1386C23C22×C4×D712yes—
1387C23C22×C4×D712yes—
1388C23C24×D711yescharacteristic
1389Q8—284no—
1390D4—44no—
1391D4—44no—
1392D4—44no—
1393D4—284no—
1394D4—284no—
1395D4—284no—
1396D4—284no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—44no—
1428C2×C4—72no—
1429C2×C4—72no—
1430C2×C4—72no—
1431C2×C4—72no—
1432C2×C4—72no—
1433C2×C4—72no—
1434C2×C4—82no—
1435C2×C4—82no—
1436C2×C4—82no—
1437C2×C4—82no—
1438C2×C4—141no—
1439C2×C4—141no—
1440C2×C4—141no—
1441C2×C4—141no—
1442C2×C4—141no—
1443C2×C4—141no—
1444C2×C4—141no—
1445C2×C4—141no—
1446C2×C4—141no—
1447C2×C4—141no—
1448C2×C4—141no—
1449C2×C4—141no—
1450C2×C4—141no—
1451C2×C4—141no—
1452C2×C4—141no—
1453C2×C4—141no—
1454C2×C4—141no—
1455C2×C4—141no—
1456C2×C4—141no—
1457C2×C4—141no—
1458C2×C4—141no—
1459C2×C4—141no—
1460C2×C4—141no—
1461C2×C4—141no—
1462C2×C4—141no—
1463C2×C4—141no—
1464C2×C4—141no—
1465C2×C4—141no—
1466C2×C4—141no—
1467C2×C4—141no—
1468C2×C4—141no—
1469C2×C4—141no—
1470C2×C4—141no—
1471C2×C4—141no—
1472C2×C4—141no—
1473C2×C4—141no—
1474C2×C4—284no—
1475C2×C4—284no—
1476C2×C4—284no—
1477C2×C4—562no—
1478C2×C4—562no—
1479C2×C4—562no—
1480C2×C4—562no—
1481C2×C4C22×C4×D712yes—
1482C2×C4C22×C4×D712yes—
1483C2×C4C22×C4×D712yes—
1484C2×C4C22×C4×D712yes—
1485C2×C4#654812yes—
1486C2×C4#654812yes—
1487C7#3445411yescharacteristic, complemented, Sylow
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—142no—
1510C22—142no—
1511C22—142no—
1512C22—142no—
1513C22—142no—
1514C22—142no—
1515C22—281no—
1516C22—281no—
1517C22—281no—
1518C22—281no—
1519C22—281no—
1520C22—281no—
1521C22—281no—
1522C22—281no—
1523C22—568no—
1524C22C23×C4×D711yescharacteristic
1525C22C2×#654811yescharacteristic
1526C22C2×#654811yescharacteristic
1527C22#9061611yescharacteristic
1528C22#9061611yescharacteristic
1529C22#9061811yescharacteristic
1530C22#9062011yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—142no—
1544C4—142no—
1545C4—142no—
1546C4—142no—
1547C4—142no—
1548C4—142no—
1549C4—281no—
1550C4—281no—
1551C4—281no—
1552C4—281no—
1553C4—281no—
1554C4—281no—
1555C4—281no—
1556C4—281no—
1557C2—42no—
1558C2—42no—
1559C2—42no—
1560C2—282no—
1561C2—282no—
1562C2C4×#654811yescharacteristic
1563C2C4×#654811yescharacteristic
1564C2#1174295311yescharacteristic
1565C2#1174368611yescharacteristic
1566C2#1174376511yescharacteristic
1567C2#1174380111yescharacteristic
1568C2#1174398911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2361C2
socle, cosocleC23×C7C25
prime radicalC2×#90304C2
hypercenter#2361D7
hypocenterC7#34454
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. C7×#2361C2semidirect
3. #11740084C2semidirect
4. #11739843C2semidirect
5. #11739841C2semidirect
6. #11739840C2semidirect
7. #11739787C2semidirect
8. #11739784C2semidirect
9. C4×#6499C2semidirect
10. #11739606C2semidirect
11. #11739603C2semidirect
12. #11733874C2semidirect
13. #11733753C2semidirect
14. #11733437C2semidirect
15. #11733421C2semidirect
16. #11733277C2semidirect
17. #11732927C2semidirect
18. #11732912C2semidirect
19. #11732895C2semidirect
20. #11732327C2semidirect
21. #11732122C2semidirect
22. #11732116C2semidirect
23. #11732114C2semidirect
24. #11732040C2semidirect
25. #11731847C2semidirect
26. #11731833C2semidirect
27. #11731828C2semidirect
28. #11731093C2semidirect
29. C4×#6461C2semidirect
30. #11730908C2semidirect
31. #11730896C2semidirect
35. C2×C4×C7×D4C22semidirect
36. C22×C7×C4⋊C4C22semidirect
47. #90304C4semidirect
57. C2×#6440C22semidirect
59. C2×C4×Dic14C22semidirect
61. C7×#389C22semidirect
63. C7×#388C22semidirect
65. C7×#386C22semidirect
67. C7×#385C22semidirect
68. C4×C7×C4⋊C4C22semidirect
69. C4×C7×C22⋊C4C22semidirect
71. #89993C22semidirect
75. #89992C22semidirect
81. #89984C22semidirect
82. #89983C22semidirect
84. #89982C22semidirect
85. #89982C22semidirect
88. C4×C22⋊Dic7C22semidirect
89. C4×C22⋊Dic7C22semidirect
90. C4×C22⋊Dic7C22semidirect
91. C2×C7⋊#95C22semidirect
103. #89753C22semidirect
104. #89753C22semidirect
105. #89750C22semidirect
106. #89750C22semidirect
107. #89750C22semidirect
108. #89750C22semidirect
109. #89750C22semidirect
110. #89749C22semidirect
111. #89749C22semidirect
112. C4⋊C4×Dic7C22semidirect
113. #89746C22semidirect
114. #89745C22semidirect
115. #89744C22semidirect
116. #89744C22semidirect
129. #89723C22semidirect
131. #89722C22semidirect
138. #89717C22semidirect
139. #89717C22semidirect
140. #89717C22semidirect
141. #89717C22semidirect
142. #89717C22semidirect
144. #89716C22semidirect
147. C22⋊C4×Dic7C22semidirect
148. C22⋊C4×Dic7C22semidirect
149. C22⋊C4×Dic7C22semidirect
157. C4×C4⋊Dic7C22semidirect
158. #89705C22semidirect
159. #89705C22semidirect
160. C4×Dic7⋊C4C22semidirect
161. C4×Dic7⋊C4C22semidirect
162. C4×Dic7⋊C4C22semidirect
163. C42×Dic7C22semidirect
176. #89427C22semidirect
177. #89426C22semidirect
178. #89425C22semidirect
179. #89423C22semidirect
180. #89422C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89421C22semidirect
184. #89419C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
210. C7×#121C2×C4semidirect
252. #6502C2×C4semidirect
253. #6501C2×C4semidirect
254. #6500C2×C4semidirect
255. #6500C2×C4semidirect
256. #6499C2×C4semidirect
257. #6498C2×C4semidirect
258. #6492C2×C4semidirect
260. C4×C22⋊D7C2×C4semidirect
319. #6461C2×C4semidirect
320. #6459C2×C4semidirect
322. #6448C2×C4semidirect
324. (C22⋊D7)⋊C4C2×C4semidirect
326. D7×C22⋊C4C2×C4semidirect
327. #6442C2×C4semidirect
381. #2361D7semidirect
614. C2×C4×D4C2×D7semidirect
618. C22×C4⋊C4C2×D7semidirect
639. #389C2×D7semidirect
671. #388C2×D7semidirect
697. #386C2×D7semidirect
709. #385C2×D7semidirect
730. C4×C4⋊C4C2×D7semidirect
747. C4×C22⋊C4C2×D7semidirect
921. #121C4×D7semidirect
1487. C7#34454semidirect

Maximal subgroups

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

subgroupindex
C2×#903042
C7×#23612
#117400842
#117398432
#117398412
#117398402
#117397872
#117397842
C4×#64992
#117396062
#117396032
#117338742
#117337532
#117334372
#117334212
#117332772
#117329272
#117329122
#117328952
#117323272
#117321222
#117321162
#117321142
#117320402
#117318472
#117318332
#117318282
#117310932
C4×#64612
#117309082
#117308962
#344547