Finite Group Databasebeta

← #13518254

Subgroups — #13518254

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×#2363C211yesmaximal, characteristic, complemented
3#11740083C211yesmaximal, characteristic, complemented
4#11739843C211yesmaximal, characteristic, complemented
5#11739771C211yesmaximal, characteristic, complemented
6#11739687C211yesmaximal, characteristic, complemented
7#11739670C211yesmaximal, characteristic, complemented
8#11733879C211yesmaximal, characteristic, complemented
9#11733875C211yesmaximal, characteristic, complemented
10#11733874C211yesmaximal, characteristic, complemented
11#11733755C211yesmaximal, characteristic, complemented
12#11733752C211yesmaximal, characteristic, complemented
13#11733745C211yesmaximal, characteristic, complemented
14#11733437C211yesmaximal, characteristic, complemented
15#11733420C211yesmaximal, characteristic, complemented
16#11733277C211yesmaximal, characteristic, complemented
17#11732921C211yesmaximal, characteristic, complemented
18#11732916C211yesmaximal, characteristic, complemented
19#11732900C211yesmaximal, characteristic, complemented
20#11732320C211yesmaximal, characteristic, complemented
21#11732129C211yesmaximal, characteristic, complemented
22#11732121C211yesmaximal, characteristic, complemented
23#11732114C211yesmaximal, characteristic, complemented
24#11731093C211yesmaximal, characteristic, complemented
25#11731074C211yesmaximal, characteristic, complemented
26#11731019C211yesmaximal, characteristic, complemented
27#11731013C211yesmaximal, characteristic, complemented
28#11730923C211yesmaximal, characteristic, complemented
29#11730906C211yesmaximal, characteristic, complemented
30#11730895C211yesmaximal, characteristic, complemented
31C4×#6448C211yesmaximal, characteristic, complemented
32C2×C7×#121C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C2×C7×#117C2211yescharacteristic, complemented
35C2×#6502C2211yescharacteristic
36C2×#6501C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×#6499C2211yescharacteristic
40C2×#6498C2211yescharacteristic
41C2×D4×Dic7C2211yescharacteristic
42C2×D4×Dic7C2211yescharacteristic, complemented
43C2×#6492C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic
46C22×(C2×D7)⋊C4C2211yescharacteristic
47C22×Dic7⋊C4C2211yescharacteristic, complemented
48#90304C4116yescomplemented
49C2×#6461C2211yescharacteristic
50C2×#6459C2211yescharacteristic
51C2×#6448C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic
54C2×D7×C22⋊C4C2211yescharacteristic
55C2×D7×C22⋊C4C2211yescharacteristic
56C2×#6442C2211yescharacteristic
57C2×#6435C2211yescharacteristic
58C2×#6435C2211yescharacteristic
59C2×C4×Dic14C2211yescharacteristic, complemented
60C7×#390C2211yescharacteristic
61C7×#390C2211yescharacteristic
62C7×#390C2211yescharacteristic, complemented
63C7×#389C2211yescharacteristic, complemented
64C7×#388C2211yescharacteristic
65C7×#388C2211yescharacteristic, complemented
66C7×#386C2211yescharacteristic
67C7×#386C2211yescharacteristic, complemented
68C4×C7×C4⋊C4C2211yescharacteristic, complemented
69C4×C7×C22⋊C4C2211yescharacteristic
70C4×C7×C22⋊C4C2211yescharacteristic, complemented
71C4×C7×C22⋊C4C2211yescharacteristic, complemented
72#89992C2211yescharacteristic
73#89992C2211yescharacteristic
74#89992C2211yescharacteristic
75#89992C2211yescharacteristic, complemented
76#89985C2211yescharacteristic
77#89982C2211yescharacteristic
78#89982C2211yescharacteristic
79#89982C2211yescharacteristic
80C4×C22⋊Dic7C2211yescharacteristic, complemented
81C4×C22⋊Dic7C2211yescharacteristic, complemented
82C2×C7⋊#95C2211yescharacteristic, complemented
83#89762C2211yescharacteristic
84#89762C2211yescharacteristic
85#89762C2211yescharacteristic
86#89762C2211yescharacteristic
87#89761C2211yescharacteristic
88#89761C2211yescharacteristic
89#89761C2211yescharacteristic
90#89759C2211yescharacteristic
91#89753C2211yescharacteristic, complemented
92#89753C2211yescharacteristic, complemented
93#89750C2211yescharacteristic, complemented
94#89750C2211yescharacteristic, complemented
95C4⋊C4×Dic7C2211yescharacteristic, complemented
96C4⋊C4×Dic7C2211yescharacteristic, complemented
97#89746C2211yescharacteristic, complemented
98#89744C2211yescharacteristic, complemented
99#89744C2211yescharacteristic, complemented
100#89744C2211yescharacteristic, complemented
101#89730C2211yescharacteristic
102#89730C2211yescharacteristic
103#89730C2211yescharacteristic
104#89730C2211yescharacteristic
105#89730C2211yescharacteristic
106#89729C2211yescharacteristic
107#89729C2211yescharacteristic
108#89729C2211yescharacteristic
109#89729C2211yescharacteristic
110#89729C2211yescharacteristic
111#89729C2211yescharacteristic
112#89728C2211yescharacteristic
113#89728C2211yescharacteristic
114#89727C2211yescharacteristic
115#89727C2211yescharacteristic
116#89723C2211yescharacteristic
117#89723C2211yescharacteristic, complemented
118#89718C2211yescharacteristic
119#89718C2211yescharacteristic, complemented
120#89718C2211yescharacteristic, complemented
121#89718C2211yescharacteristic, complemented
122#89718C2211yescharacteristic, complemented
123#89717C2211yescharacteristic
124#89717C2211yescharacteristic
125#89717C2211yescharacteristic
126#89717C2211yescharacteristic, complemented
127#89717C2211yescharacteristic, complemented
128#89717C2211yescharacteristic, complemented
129#89716C2211yescharacteristic
130#89716C2211yescharacteristic
131#89716C2211yescharacteristic
132#89716C2211yescharacteristic, complemented
133#89716C2211yescharacteristic, complemented
134#89716C2211yescharacteristic, complemented
135#89715C2211yescharacteristic, complemented
136#89714C2211yescharacteristic, complemented
137C22⋊C4×Dic7C2211yescharacteristic
138C22⋊C4×Dic7C2211yescharacteristic
139C22⋊C4×Dic7C2211yescharacteristic
140C22⋊C4×Dic7C2211yescharacteristic, complemented
141C22⋊C4×Dic7C2211yescharacteristic, complemented
142C22⋊C4×Dic7C2211yescharacteristic, complemented
143#89712C2211yescharacteristic
144#89712C2211yescharacteristic
145#89712C2211yescharacteristic
146#89712C2211yescharacteristic
147#89712C2211yescharacteristic
148#89712C2211yescharacteristic
149C4×(C2×D7)⋊C4C2211yescharacteristic
150C4×(C2×D7)⋊C4C2211yescharacteristic
151C4×(C2×D7)⋊C4C2211yescharacteristic
152C4×(C2×D7)⋊C4C2211yescharacteristic
153#89705C2211yescharacteristic, complemented
154#89705C2211yescharacteristic, complemented
155#89705C2211yescharacteristic, complemented
156#89705C2211yescharacteristic, complemented
157#89705C2211yescharacteristic, complemented
158C4×Dic7⋊C4C2211yescharacteristic, complemented
159C4×Dic7⋊C4C2211yescharacteristic, complemented
160C4×Dic7⋊C4C2211yescharacteristic, complemented
161C4×Dic7⋊C4C2211yescharacteristic, complemented
162C42×Dic7C2211yescharacteristic, complemented
163#89700C2211yescharacteristic, complemented
164#89442C2211yescharacteristic
165#89442C2211yescharacteristic
166#89441C2211yescharacteristic
167#89441C2211yescharacteristic
168#89441C2211yescharacteristic
169#89441C2211yescharacteristic
170#89440C2211yescharacteristic
171#89439C2211yescharacteristic
172#89438C2211yescharacteristic
173#89438C2211yescharacteristic
174#89436C2211yescharacteristic
175#89436C2211yescharacteristic
176#89426C2211yescharacteristic, complemented
177#89425C2211yescharacteristic, complemented
178#89424C2211yescharacteristic, complemented
179#89423C2211yescharacteristic, complemented
180#89422C2211yescharacteristic, complemented
181#89422C2211yescharacteristic, complemented
182#89422C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, 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
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
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—
212C7×#117—42no—
213C2×C7×C4⋊C4C2311yescharacteristic
214C2×C7×C4⋊C4C2311yescharacteristic
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C22⋊C4C2311yescharacteristic
219C2×C7×C22⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4C2311yescharacteristic
221C2×C7×C22⋊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×C42×C7C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
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
250#6502C2×C418yescomplemented
251#6501C2×C418yescomplemented
252#6500C2×C418yescomplemented
253#6500C2×C418yescomplemented
254#6499C2×C418yescomplemented
255#6498C2×C418yescomplemented
256D4×Dic7—42no—
257D4×Dic7—42no—
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×Dic7⋊C4—42no—
286C2×Dic7⋊C4C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
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
319C2×C4×Dic7C2311yescharacteristic
320#6461C2×C418yescomplemented
321#6459C2×C418yescomplemented
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#6435—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#2363D711yescharacteristic, complemented
380#2362—71no—
381#2361—71no—
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—41no—
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×C7C22×C414yes—
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C2×C22⋊D7—41no—
445C2×C22⋊D7—41no—
446C2×C22⋊D7—41no—
447C2×C22⋊D7—41no—
448C2×C22⋊D7—41no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7C22×C414yes—
453C2×C22⋊D7C22×C414yes—
454C2×C22⋊D7C22×C414yes—
455C2×C22⋊D7C22×C414yes—
456C22×Dic7—22no—
457C22×Dic7—41no—
458C22×Dic7—41no—
459C22×Dic7—41no—
460C22×Dic7—41no—
461C22×Dic7—41no—
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—41no—
502C7×C4⋊C4—41no—
503C7×C4⋊C4—41no—
504C7×C4⋊C4C22×C414yes—
505C7×C22⋊C4—22no—
506C7×C22⋊C4—22no—
507C7×C22⋊C4—41no—
508C7×C22⋊C4—41no—
509C7×C22⋊C4—41no—
510C7×C22⋊C4—41no—
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—41no—
519C42×C7—41no—
520C42×C7—41no—
521C42×C7—41no—
522C42×C7—41no—
523C22⋊Dic7—22no—
524C22⋊Dic7—22no—
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—22no—
558C4⋊Dic7—41no—
559C4⋊Dic7C22×C414yes—
560Dic7⋊C4—22no—
561Dic7⋊C4—22no—
562Dic7⋊C4—22no—
563Dic7⋊C4—41no—
564Dic7⋊C4—41no—
565Dic7⋊C4—41no—
566Dic7⋊C4—41no—
567Dic7⋊C4—41no—
568Dic7⋊C4—41no—
569Dic7⋊C4—41no—
570Dic7⋊C4—41no—
571Dic7⋊C4—41no—
572Dic7⋊C4—41no—
573Dic7⋊C4—41no—
574Dic7⋊C4C22×C414yes—
575Dic7⋊C4C22×C414yes—
576Dic7⋊C4C22×C414yes—
577Dic7⋊C4C22×C414yes—
578C4×Dic7—22no—
579C4×Dic7—22no—
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×D4—71no—
613C2×C4×D4—71no—
614C2×C4×D4C2×D711yescharacteristic
615C2×#117—71no—
616C2×#117—71no—
617C2×#117C2×D711yescharacteristic, complemented
618C22×C4⋊C4—71no—
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#390C2×D711yescharacteristic
632#390C2×D711yescharacteristic
633#390C2×D711yescharacteristic, complemented
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#385—71no—
709#385—71no—
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⋊C4C2×D711yescharacteristic
746C4×C22⋊C4C2×D711yescharacteristic, complemented
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—21no—
827C2×C4×C7—44no—
828C2×C4×C7—82no—
829C2×C4×C7—82no—
830C2×C4×C7C23×C412yes—
831C2×C4×C7C23×C412yes—
832C2×C4×C7C23×C412yes—
833C2×C4×C7C23×C412yes—
834C2×C4×C7H(5,𝔽2)12yes—
835C22⋊D7—44no—
836C22⋊D7—44no—
837C22⋊D7—44no—
838C22⋊D7—44no—
839C2×Dic7—21no—
840C2×Dic7—21no—
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—44no—
875C2×Dic7—82no—
876C2×Dic7—82no—
877C2×Dic7—82no—
878C2×Dic7—82no—
879C2×Dic7C23×C412yes—
880C2×Dic7C23×C412yes—
881C2×Dic7C23×C412yes—
882C2×Dic7C23×C412yes—
883C2×Dic7C23×C412yes—
884C2×Dic7C23×C412yes—
885C2×Dic7H(5,𝔽2)12yes—
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×C4—71no—
908C23×C4—71no—
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—78no—
927C4×D4—78no—
928C4×D4—282no—
929C4×D4—282no—
930C4×D4—282no—
931C4×D4—282no—
932#117—42no—
933#117—282no—
934#117—282no—
935C2×C4⋊C4—71no—
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⋊C4—71no—
956C2×C4⋊C4—282no—
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—282no—
998C2×C22⋊C4—282no—
999C2×C22⋊C4C22×D711yescharacteristic
1000C2×C22⋊C4C22×D711yescharacteristic
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×C42C22×D711yescharacteristic
1028C2×C42C22×D711yescharacteristic
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—41no—
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—22no—
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—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—71no—
1187C22×C4—71no—
1188C22×C4—71no—
1189C22×C4—71no—
1190C22×C4—71no—
1191C22×C4—71no—
1192C22×C4—71no—
1193C22×C4—74no—
1194C22×C4—74no—
1195C22×C4—74no—
1196C22×C4—71no—
1197C22×C4—71no—
1198C22×C4—71no—
1199C22×C4—71no—
1200C22×C4—71no—
1201C22×C4—71no—
1202C22×C4—71no—
1203C22×C4—142no—
1204C22×C4—142no—
1205C22×C4—281no—
1206C22×C4—281no—
1207C22×C4—281no—
1208C22×C4—281no—
1209C22×C4—281no—
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—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—74no—
1245C4⋊C4—74no—
1246C4⋊C4—74no—
1247C4⋊C4—74no—
1248C4⋊C4—74no—
1249C4⋊C4—142no—
1250C4⋊C4—142no—
1251C4⋊C4—142no—
1252C4⋊C4—142no—
1253C4⋊C4—281no—
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—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
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—74no—
1287C22⋊C4—74no—
1288C22⋊C4—142no—
1289C22⋊C4—142no—
1290C22⋊C4—142no—
1291C22⋊C4—142no—
1292C22⋊C4—142no—
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—41no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C42—74no—
1319C42—74no—
1320C42—142no—
1321C42—142no—
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—21no—
1428C2×C4—44no—
1429C2×C4—72no—
1430C2×C4—72no—
1431C2×C4—72no—
1432C2×C4—72no—
1433C2×C4—72no—
1434C2×C4—72no—
1435C2×C4—72no—
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—284no—
1474C2×C4—284no—
1475C2×C4—284no—
1476C2×C4—562no—
1477C2×C4—562no—
1478C2×C4—562no—
1479C2×C4—562no—
1480C2×C4—562no—
1481C2×C4—562no—
1482C2×C4C22×C4×D712yes—
1483C2×C4C22×C4×D712yes—
1484C2×C4C22×C4×D712yes—
1485C2×C4C22×C4×D712yes—
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
1526C22#9061611yescharacteristic
1527C22#9061611yescharacteristic
1528C22#9061611yescharacteristic
1529C22D7×H(5,𝔽2)11yescharacteristic
1530C22#9061811yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—41no—
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—142no—
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
1563C2#1174290211yescharacteristic
1564C2#1174292511yescharacteristic
1565C2#1174372311yescharacteristic
1566C2#1174384911yescharacteristic
1567C2#1174398811yescharacteristic
1568C2#1174404611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2363C2
socle, cosocleC23×C7C25
prime radicalC2×#90304C2
hypercenter#2363D7
hypocenterC7#34454
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2363

Complements

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

NH ≅ G/Ntype
2. C7×#2363C2semidirect
3. #11740083C2semidirect
4. #11739843C2semidirect
5. #11739771C2semidirect
6. #11739687C2semidirect
7. #11739670C2semidirect
8. #11733879C2semidirect
9. #11733875C2semidirect
10. #11733874C2semidirect
11. #11733755C2semidirect
12. #11733752C2semidirect
13. #11733745C2semidirect
14. #11733437C2semidirect
15. #11733420C2semidirect
16. #11733277C2semidirect
17. #11732921C2semidirect
18. #11732916C2semidirect
19. #11732900C2semidirect
20. #11732320C2semidirect
21. #11732129C2semidirect
22. #11732121C2semidirect
23. #11732114C2semidirect
24. #11731093C2semidirect
25. #11731074C2semidirect
26. #11731019C2semidirect
27. #11731013C2semidirect
28. #11730923C2semidirect
29. #11730906C2semidirect
30. #11730895C2semidirect
31. C4×#6448C2semidirect
34. C2×C7×#117C22semidirect
42. C2×D4×Dic7C22semidirect
47. C22×Dic7⋊C4C22semidirect
48. #90304C4semidirect
59. C2×C4×Dic14C22semidirect
62. C7×#390C22semidirect
63. C7×#389C22semidirect
65. C7×#388C22semidirect
67. C7×#386C22semidirect
68. C4×C7×C4⋊C4C22semidirect
70. C4×C7×C22⋊C4C22semidirect
71. C4×C7×C22⋊C4C22semidirect
75. #89992C22semidirect
80. C4×C22⋊Dic7C22semidirect
81. C4×C22⋊Dic7C22semidirect
82. C2×C7⋊#95C22semidirect
91. #89753C22semidirect
92. #89753C22semidirect
93. #89750C22semidirect
94. #89750C22semidirect
95. C4⋊C4×Dic7C22semidirect
96. C4⋊C4×Dic7C22semidirect
97. #89746C22semidirect
98. #89744C22semidirect
99. #89744C22semidirect
100. #89744C22semidirect
117. #89723C22semidirect
119. #89718C22semidirect
120. #89718C22semidirect
121. #89718C22semidirect
122. #89718C22semidirect
126. #89717C22semidirect
127. #89717C22semidirect
128. #89717C22semidirect
132. #89716C22semidirect
133. #89716C22semidirect
134. #89716C22semidirect
135. #89715C22semidirect
136. #89714C22semidirect
140. C22⋊C4×Dic7C22semidirect
141. C22⋊C4×Dic7C22semidirect
142. C22⋊C4×Dic7C22semidirect
153. #89705C22semidirect
154. #89705C22semidirect
155. #89705C22semidirect
156. #89705C22semidirect
157. #89705C22semidirect
158. C4×Dic7⋊C4C22semidirect
159. C4×Dic7⋊C4C22semidirect
160. C4×Dic7⋊C4C22semidirect
161. C4×Dic7⋊C4C22semidirect
162. C42×Dic7C22semidirect
163. #89700C22semidirect
176. #89426C22semidirect
177. #89425C22semidirect
178. #89424C22semidirect
179. #89423C22semidirect
180. #89422C22semidirect
181. #89422C22semidirect
182. #89422C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
210. C7×#121C2×C4semidirect
250. #6502C2×C4semidirect
251. #6501C2×C4semidirect
252. #6500C2×C4semidirect
253. #6500C2×C4semidirect
254. #6499C2×C4semidirect
255. #6498C2×C4semidirect
258. #6492C2×C4semidirect
260. C4×C22⋊D7C2×C4semidirect
320. #6461C2×C4semidirect
321. #6459C2×C4semidirect
322. #6448C2×C4semidirect
324. (C22⋊D7)⋊C4C2×C4semidirect
326. D7×C22⋊C4C2×C4semidirect
327. #6442C2×C4semidirect
379. #2363D7semidirect
617. C2×#117C2×D7semidirect
633. #390C2×D7semidirect
639. #389C2×D7semidirect
671. #388C2×D7semidirect
697. #386C2×D7semidirect
730. C4×C4⋊C4C2×D7semidirect
746. C4×C22⋊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×#23632
#117400832
#117398432
#117397712
#117396872
#117396702
#117338792
#117338752
#117338742
#117337552
#117337522
#117337452
#117334372
#117334202
#117332772
#117329212
#117329162
#117329002
#117323202
#117321292
#117321212
#117321142
#117310932
#117310742
#117310192
#117310132
#117309232
#117309062
#117308952
C4×#64482
#344547