Finite Group Databasebeta

← #13562136

Subgroups — #13562136

Order 1792.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2684C211yesmaximal, characteristic, complemented
2#11740428C211yesmaximal, characteristic, complemented
3#11740410C211yesmaximal, characteristic, complemented
4#11740053C211yesmaximal, characteristic, complemented
5#11740049C211yesmaximal, characteristic, complemented
6#11735158C211yesmaximal, characteristic, complemented
7#11735139C211yesmaximal, characteristic, complemented
8#11735133C211yesmaximal, characteristic, complemented
9#11735120C211yesmaximal, characteristic, complemented
10#11734558C211yesmaximal, characteristic, complemented
11#11734553C211yesmaximal, characteristic, complemented
12#11734509C211yesmaximal, characteristic, complemented
13#11734499C211yesmaximal, characteristic, complemented
14#11734317C211yesmaximal, characteristic, complemented
15#11734310C211yesmaximal, characteristic, complemented
16#11734287C211yesmaximal, characteristic, complemented
17#11734271C211yesmaximal, characteristic, complemented
18#11733385C211yesmaximal, characteristic, complemented
19#11733316C211yesmaximal, characteristic, complemented
20#11733271C211yesmaximal, characteristic, complemented
21#11733128C211yesmaximal, characteristic, complemented
22#11732381C211yesmaximal, characteristic, complemented
23#11732380C211yesmaximal, characteristic, complemented
24#11732368C211yesmaximal, characteristic, complemented
25D7×#386C211yesmaximal, characteristic, complemented
26#11732300C211yesmaximal, characteristic, complemented
27#11732286C211yesmaximal, characteristic, complemented
28#11731303C211yesmaximal, characteristic, complemented
29#11731299C211yesmaximal, characteristic, complemented
30#11731294C211yesmaximal, characteristic, complemented
31#11731285C211yesmaximal, characteristic, complemented
32C23×C22⋊D7C2211yescharacteristic
33C22×D4×D7C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic, complemented
35C2×C7×#124C2211yescharacteristic, complemented
36C2×C7×#120C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C2×#6516C2211yescharacteristic, complemented
39C2×#6509C2211yescharacteristic, complemented
40C2×#6509C2211yescharacteristic, complemented
41C2×#6502C2211yescharacteristic, complemented
42C2×#6501C2211yescharacteristic, complemented
43C2×#6500C2211yescharacteristic
44C2×#6500C2211yescharacteristic
45C2×#6458C2211yescharacteristic, complemented
46C2×#6456C2211yescharacteristic, complemented
47C2×#6447C2211yescharacteristic
48C2×#6447C2211yescharacteristic
49C2×#6447C2211yescharacteristic, complemented
50C2×#6447C2211yescharacteristic, complemented
51C2×#6446C2211yescharacteristic, complemented
52C2×#6446C2211yescharacteristic, complemented
53C2×#6445C2211yescharacteristic
54C2×#6445C2211yescharacteristic, complemented
55C2×D7×C22⋊C4C2211yescharacteristic
56C2×D7×C22⋊C4C2211yescharacteristic
57C2×D7×C22⋊C4C2211yescharacteristic
58C2×D7×C22⋊C4C2211yescharacteristic, complemented
59C7×#397C2211yescharacteristic, complemented
60C7×#397C2211yescharacteristic, complemented
61C7×#394C2211yescharacteristic
62C7×#394C2211yescharacteristic, complemented
63C7×#393C2211yescharacteristic, complemented
64C7×#393C2211yescharacteristic, complemented
65C7×#388C2211yescharacteristic, complemented
66C7×#388C2211yescharacteristic, complemented
67C7×#386C2211yescharacteristic
68C7×#386C2211yescharacteristic, complemented
69C7×#386C2211yescharacteristic, complemented
70C7×#379C2211yescharacteristic, complemented
71C7×#379C2211yescharacteristic, complemented
72#90019C2211yescharacteristic, complemented
73#90003C2211yescharacteristic, complemented
74#90003C2211yescharacteristic, complemented
75#89995C2211yescharacteristic
76#89995C2211yescharacteristic
77#89995C2211yescharacteristic
78#89994C2211yescharacteristic, complemented
79#89992C2211yescharacteristic
80#89992C2211yescharacteristic
81#89992C2211yescharacteristic, complemented
82#89985C2211yescharacteristic, complemented
83#89985C2211yescharacteristic, complemented
84#89982C2211yescharacteristic, complemented
85#89766C2211yescharacteristic, complemented
86#89762C2211yescharacteristic, complemented
87#89761C2211yescharacteristic, complemented
88#89758C2211yescharacteristic, complemented
89#89754C2211yescharacteristic, complemented
90#89754C2211yescharacteristic, complemented
91#89733C2211yescharacteristic, complemented
92#89733C2211yescharacteristic, complemented
93#89732C2211yescharacteristic
94#89732C2211yescharacteristic
95#89732C2211yescharacteristic
96#89732C2211yescharacteristic, complemented
97#89732C2211yescharacteristic, complemented
98#89732C2211yescharacteristic, complemented
99#89731C2211yescharacteristic
100#89731C2211yescharacteristic, complemented
101#89731C2211yescharacteristic, complemented
102#89731C2211yescharacteristic, complemented
103#89731C2211yescharacteristic, complemented
104#89731C2211yescharacteristic, complemented
105#89730C2211yescharacteristic
106#89730C2211yescharacteristic, complemented
107#89730C2211yescharacteristic, complemented
108#89729C2211yescharacteristic, complemented
109#89729C2211yescharacteristic, complemented
110#89729C2211yescharacteristic, complemented
111#89728C2211yescharacteristic
112#89728C2211yescharacteristic
113#89728C2211yescharacteristic
114#89728C2211yescharacteristic
115#89728C2211yescharacteristic
116#89728C2211yescharacteristic
117#89728C2211yescharacteristic
118#89728C2211yescharacteristic
119#89728C2211yescharacteristic
120#89728C2211yescharacteristic
121#89728C2211yescharacteristic, complemented
122#89728C2211yescharacteristic, complemented
123#89728C2211yescharacteristic, complemented
124#89728C2211yescharacteristic, complemented
125#89728C2211yescharacteristic, complemented
126#89728C2211yescharacteristic, complemented
127#89728C2211yescharacteristic, complemented
128#89728C2211yescharacteristic, complemented
129#89727C2211yescharacteristic
130#89727C2211yescharacteristic, complemented
131#89725C2211yescharacteristic, complemented
132#89725C2211yescharacteristic, complemented
133#89724C2211yescharacteristic, complemented
134#89724C2211yescharacteristic, complemented
135#89724C2211yescharacteristic, complemented
136#89724C2211yescharacteristic, complemented
137#89723C2211yescharacteristic, complemented
138#89723C2211yescharacteristic, complemented
139#89722C2211yescharacteristic, complemented
140#89721C2211yescharacteristic, complemented
141#89720C2211yescharacteristic, complemented
142#89720C2211yescharacteristic, complemented
143#89720C2211yescharacteristic, complemented
144#89718C2211yescharacteristic, complemented
145#89717C2211yescharacteristic, complemented
146#89716C2211yescharacteristic, complemented
147#89716C2211yescharacteristic, complemented
148#89715C2211yescharacteristic, complemented
149#89715C2211yescharacteristic, complemented
150#89714C2211yescharacteristic, complemented
151#89712C2211yescharacteristic, complemented
152#89711C2211yescharacteristic, complemented
153C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
154#89705C2211yescharacteristic, complemented
155#89447C2211yescharacteristic, complemented
156#89446C2211yescharacteristic, complemented
157#89441C2211yescharacteristic, complemented
158#89440C2211yescharacteristic, complemented
159#89440C2211yescharacteristic, complemented
160#89440C2211yescharacteristic, complemented
161#89440C2211yescharacteristic, complemented
162#89440C2211yescharacteristic, complemented
163#89439C2211yescharacteristic, complemented
164#89439C2211yescharacteristic, complemented
165#89439C2211yescharacteristic, complemented
166#89437C2211yescharacteristic, complemented
167#89437C2211yescharacteristic, complemented
168#89437C2211yescharacteristic, complemented
169#89437C2211yescharacteristic, complemented
170#89437C2211yescharacteristic, complemented
171#89437C2211yescharacteristic, complemented
172#89437C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89436C2211yescharacteristic, complemented
175#89436C2211yescharacteristic, complemented
176#89436C2211yescharacteristic, complemented
177D7×#95C2211yescharacteristic, complemented
178D7×#95C2211yescharacteristic, complemented
179C7⋊#401C2211yescharacteristic, complemented
180C7⋊#401C2211yescharacteristic, complemented
181#89432C2211yescharacteristic, complemented
182#89430C2211yescharacteristic, complemented
183#89430C2211yescharacteristic, complemented
184#89430C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89423C2211yescharacteristic, complemented
187#36776—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7—24no—
197C22×C22⋊D7—42no—
198C22×C22⋊D7—42no—
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C22×C22⋊D7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C2×D4×D7—24no—
214C2×D4×D7—42no—
215C2×D4×D7—42no—
216C22×D28C2311yescharacteristic
217C22×D28C2311yescharacteristic
218C22×D28C2311yescharacteristic
219C22×D28C2311yescharacteristic
220C22×C4×D7—42no—
221C22×C4×D7—42no—
222C22×C4×D7—42no—
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C22×C4×D7C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×C4×D7C2311yescharacteristic
231C22×C4×D7C2311yescharacteristic
232C22×C4×D7C2311yescharacteristic
233C7×#124—42no—
234C7×#120—42no—
235C2×C7×C4⋊C4C2311yescharacteristic
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C7×C22⋊C4C2311yescharacteristic
250C2×C7×C22⋊C4C2311yescharacteristic
251C2×C7×C22⋊C4C2311yescharacteristic
252C2×C7×C22⋊C4C2311yescharacteristic
253C2×C7×C22⋊C4C2311yescharacteristic
254C2×C7×C22⋊C4C2311yescharacteristic
255C2×C42×C7C2311yescharacteristic
256#6516—42no—
257#6516—42no—
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265C2×C22⋊Dic7C2311yescharacteristic
266C2×C22⋊Dic7C2311yescharacteristic
267C2×C22⋊Dic7C2311yescharacteristic
268C2×C22⋊Dic7C2311yescharacteristic
269C2×C22⋊Dic7C2311yescharacteristic
270C2×C22⋊Dic7C2311yescharacteristic
271C2×C22⋊Dic7C2311yescharacteristic
272C2×C22⋊Dic7C2311yescharacteristic
273C2×C22⋊Dic7C2311yescharacteristic
274#6509—42no—
275#6509—42no—
276#6502—42no—
277#6501—42no—
278#6500—42no—
279#6500—42no—
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
301C2×(C2×D7)⋊C4C2311yescharacteristic
302C2×(C2×D7)⋊C4C2311yescharacteristic
303C2×(C2×D7)⋊C4C2311yescharacteristic
304C2×(C2×D7)⋊C4C2311yescharacteristic
305C2×(C2×D7)⋊C4C2311yescharacteristic
306C2×C4⋊Dic7C2311yescharacteristic
307C2×C4⋊Dic7C2311yescharacteristic
308C2×C4⋊Dic7C2311yescharacteristic
309C2×C4⋊Dic7C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322#6458—42no—
323#6456—42no—
324#6447—42no—
325#6447—42no—
326#6447—42no—
327#6447—42no—
328#6446—42no—
329#6446—42no—
330#6445—24no—
331#6445—42no—
332D7×C22⋊C4—42no—
333D7×C22⋊C4—42no—
334D7×C22⋊C4—42no—
335D7×C22⋊C4—42no—
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
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376#2849—71no—
377#2847—71no—
378#2778—71no—
379#2778—71no—
380#2760—71no—
381#2750—71no—
382#2749—71no—
383#2749—71no—
384#2743—71no—
385#2703—71no—
386#2697—71no—
387#2696—71no—
388#2688—71no—
389#2688—71no—
390#2684D711yescharacteristic, complemented
391#2678—71no—
392#2676—71no—
393#2668—71no—
394#2643—71no—
395#2639—71no—
396#2510—71no—
397#2472—71no—
398#2444—71no—
399#2437—71no—
400#2424—71no—
401#2410—71no—
402#2410—71no—
403#2403—71no—
404#2321—71no—
405#2308—71no—
406C2×#386—71no—
407C24×C7—22no—
408C24×C7—41no—
409C24×C7—41no—
410C24×C7—41no—
411C24×C7—41no—
412C24×C7—41no—
413C24×C7—41no—
414C24×C7C2411yescharacteristic
415C24×C7C2411yescharacteristic
416C24×C7C2411yescharacteristic
417C24×C7C2411yescharacteristic
418C23×D7—22no—
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—22no—
423C23×D7—22no—
424C23×D7—22no—
425C23×D7—41no—
426C23×D7—41no—
427C23×D7—41no—
428C23×D7—41no—
429C23×D7—41no—
430C23×D7—41no—
431C23×D7#4114yes—
432C23×D7C2411yescharacteristic
433C23×D7C2411yescharacteristic
434C23×D7C2411yescharacteristic
435C23×D7C2411yescharacteristic
436C2×C7×Q8—41no—
437C2×C7×Q8—41no—
438C2×C7×Q8—41no—
439C2×C7×D4—22no—
440C2×C7×D4—22no—
441C2×C7×D4—22no—
442C2×C7×D4—22no—
443C2×C7×D4—41no—
444C2×C7×D4—41no—
445C2×C7×D4—41no—
446C2×C7×D4—41no—
447C2×C7×D4—41no—
448C22×C4×C7—41no—
449C22×C4×C7—41no—
450C22×C4×C7—41no—
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C2×C22⋊D7—22no—
463C2×C22⋊D7—22no—
464C2×C22⋊D7—22no—
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—22no—
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—22no—
474C2×C22⋊D7—22no—
475C2×C22⋊D7—22no—
476C2×C22⋊D7—22no—
477C2×C22⋊D7—22no—
478C2×C22⋊D7—22no—
479C2×C22⋊D7—41no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7—41no—
482C2×C22⋊D7—41no—
483C2×C22⋊D7—41no—
484C2×C22⋊D7—41no—
485C2×C22⋊D7—41no—
486C2×C22⋊D7—41no—
487C2×C22⋊D7—41no—
488C2×C22⋊D7—41no—
489C2×C22⋊D7—41no—
490C2×C22⋊D7—41no—
491C2×C22⋊D7—41no—
492C2×C22⋊D7—41no—
493C2×C22⋊D7—41no—
494C2×C22⋊D7—41no—
495C2×C22⋊D7—41no—
496C2×C22⋊D7—41no—
497C2×C22⋊D7—41no—
498C2×C22⋊D7—416no—
499C22×Dic7—22no—
500C22×Dic7—22no—
501C22×Dic7—41no—
502C22×Dic7—41no—
503C22×Dic7—41no—
504C22×Dic7—41no—
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513C22×Dic7C2411yescharacteristic
514C22×Dic7C2411yescharacteristic
515C22×Dic7C2411yescharacteristic
516C22×Dic7C2411yescharacteristic
517D4×D7—416no—
518C2×D28—22no—
519C2×D28—22no—
520C2×D28—22no—
521C2×D28—22no—
522C2×D28—22no—
523C2×D28—22no—
524C2×D28—22no—
525C2×D28—41no—
526C2×D28—41no—
527C2×D28—41no—
528C2×D28—41no—
529C2×D28—41no—
530C2×C4×D7—22no—
531C2×C4×D7—22no—
532C2×C4×D7—22no—
533C2×C4×D7—22no—
534C2×C4×D7—22no—
535C2×C4×D7—22no—
536C2×C4×D7—22no—
537C2×C4×D7—22no—
538C2×C4×D7—22no—
539C2×C4×D7—41no—
540C2×C4×D7—41no—
541C2×C4×D7—41no—
542C2×C4×D7—41no—
543C2×C4×D7—41no—
544C2×C4×D7—41no—
545C2×C4×D7—41no—
546C2×C4×D7—41no—
547C2×C4×D7—416no—
548C2×C4×D7—41no—
549C2×C4×D7—41no—
550C2×C4×D7—41no—
551C2×C4×D7—41no—
552C2×C4×D7—41no—
553C2×C4×D7—41no—
554C2×C4×D7—41no—
555C2×C4×D7—41no—
556C2×C4×D7—41no—
557C2×C4×D7—41no—
558C2×C4×D7—41no—
559C2×C4×D7—41no—
560C2×C4×D7—41no—
561C7×C4⋊C4—41no—
562C7×C4⋊C4—41no—
563C7×C22⋊C4—22no—
564C7×C22⋊C4—22no—
565C7×C22⋊C4—22no—
566C7×C22⋊C4—41no—
567C7×C22⋊C4—41no—
568C7×C22⋊C4—41no—
569C7×C22⋊C4—41no—
570C7×C22⋊C4—41no—
571C7×C22⋊C4—41no—
572C7×C22⋊C4—41no—
573C7×C22⋊C4—41no—
574C7×C22⋊C4—41no—
575C7×C22⋊C4—41no—
576C7×C22⋊C4—41no—
577C7×C22⋊C4—41no—
578C7×C22⋊C4—41no—
579C7×C22⋊C4—41no—
580C7×C22⋊C4—41no—
581C42×C7—41no—
582C22⋊Dic7—22no—
583C22⋊Dic7—22no—
584C22⋊Dic7—22no—
585C22⋊Dic7—41no—
586C22⋊Dic7—41no—
587C22⋊Dic7—41no—
588C22⋊Dic7—41no—
589C22⋊Dic7—41no—
590C22⋊Dic7—41no—
591C22⋊Dic7—41no—
592C22⋊Dic7—41no—
593C22⋊Dic7—41no—
594C22⋊Dic7—41no—
595C22⋊Dic7—41no—
596C22⋊Dic7—41no—
597C22⋊Dic7—41no—
598(C2×D7)⋊C4—22no—
599(C2×D7)⋊C4—22no—
600(C2×D7)⋊C4—22no—
601(C2×D7)⋊C4—22no—
602(C2×D7)⋊C4—22no—
603(C2×D7)⋊C4—22no—
604(C2×D7)⋊C4—22no—
605(C2×D7)⋊C4—22no—
606(C2×D7)⋊C4—41no—
607(C2×D7)⋊C4—41no—
608(C2×D7)⋊C4—41no—
609(C2×D7)⋊C4—41no—
610(C2×D7)⋊C4—41no—
611(C2×D7)⋊C4—41no—
612(C2×D7)⋊C4—41no—
613(C2×D7)⋊C4—41no—
614(C2×D7)⋊C4—41no—
615(C2×D7)⋊C4—41no—
616(C2×D7)⋊C4—41no—
617(C2×D7)⋊C4—41no—
618(C2×D7)⋊C4—41no—
619(C2×D7)⋊C4—41no—
620(C2×D7)⋊C4—41no—
621(C2×D7)⋊C4—41no—
622(C2×D7)⋊C4—41no—
623(C2×D7)⋊C4—41no—
624C4⋊Dic7—22no—
625C4⋊Dic7—41no—
626C4⋊Dic7—41no—
627C4⋊Dic7—41no—
628Dic7⋊C4—22no—
629Dic7⋊C4—41no—
630Dic7⋊C4—41no—
631Dic7⋊C4—41no—
632Dic7⋊C4—41no—
633Dic7⋊C4—41no—
634Dic7⋊C4—41no—
635Dic7⋊C4—41no—
636Dic7⋊C4—41no—
637Dic7⋊C4—41no—
638C4×Dic7—41no—
639C4×Dic7—41no—
640C23×D4—71no—
641C23×D4—71no—
642C24×C4—71no—
643C2×#124C2×D711yescharacteristic, complemented
644C2×#123—71no—
645C2×#123—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×#121—71no—
649C2×#121—71no—
650C2×#121—71no—
651C2×#121—71no—
652C2×#121—71no—
653C2×#121—71no—
654C2×#121—71no—
655C2×#120—71no—
656C2×#120—71no—
657C2×#120—71no—
658C2×#120—71no—
659C2×#120—71no—
660C2×#120—71no—
661C2×#120C2×D711yescharacteristic
662C2×C4×D4—71no—
663C22×C22⋊C4—71no—
664C22×C22⋊C4—71no—
665C22×C22⋊C4—71no—
666C22×C22⋊C4—71no—
667#401—71no—
668#401—71no—
669#400—71no—
670#400—71no—
671#400—71no—
672#400—71no—
673#400—71no—
674#400—71no—
675#400—71no—
676#399—71no—
677#397—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#397—71no—
683#397—71no—
684#397—71no—
685#397C2×D711yescharacteristic, complemented
686#397C2×D711yescharacteristic, complemented
687#396—71no—
688#396—71no—
689#396—71no—
690#396—71no—
691#394—71no—
692#394—71no—
693#394—71no—
694#394—71no—
695#394—71no—
696#394—71no—
697#394—71no—
698#394—71no—
699#394—71no—
700#394C2×D711yescharacteristic
701#394C2×D711yescharacteristic, complemented
702#393—71no—
703#393—71no—
704#393C2×D711yescharacteristic, complemented
705#393C2×D711yescharacteristic, complemented
706#392—71no—
707#392—71no—
708#392—71no—
709#392—71no—
710#392—71no—
711#392—71no—
712#392—71no—
713#392—71no—
714#392—71no—
715#390—71no—
716#390—71no—
717#390—71no—
718#390—71no—
719#388—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388C2×D711yescharacteristic, complemented
728#388C2×D711yescharacteristic, complemented
729#387—71no—
730#387—71no—
731#386—71no—
732#386—71no—
733#386—71no—
734#386—71no—
735#386—71no—
736#386—71no—
737#386—71no—
738#386—71no—
739#386—71no—
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386—71no—
754#386—71no—
755#386—71no—
756#386—71no—
757#386—71no—
758#386—71no—
759#386—71no—
760#386—71no—
761#386—71no—
762#386—71no—
763#386—71no—
764#386—71no—
765#386C2×D711yescharacteristic
766#386C2×D711yescharacteristic, complemented
767#386C2×D711yescharacteristic, complemented
768#385—71no—
769#385—71no—
770#385—71no—
771#385—71no—
772#385—71no—
773#385—71no—
774#385—71no—
775#385—71no—
776#385—71no—
777#383—71no—
778#381—71no—
779#381—71no—
780#381—71no—
781#381—71no—
782#381—71no—
783#380—71no—
784#380—71no—
785#380—71no—
786#380—71no—
787#379—71no—
788#379—71no—
789#379—71no—
790#379C2×D711yescharacteristic, complemented
791#379C2×D711yescharacteristic, complemented
792C4×C22⋊C4—71no—
793C2×#95—71no—
794C2×#95—71no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—21no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—21no—
812C23×C7—21no—
813C23×C7—21no—
814C23×C7—21no—
815C23×C7—21no—
816C23×C7—21no—
817C23×C7—21no—
818C23×C7—21no—
819C23×C7—21no—
820C23×C7—21no—
821C23×C7—44no—
822C23×C7—82no—
823C23×C7—82no—
824C23×C7—82no—
825C23×C7—82no—
826C23×C7—82no—
827C23×C7—82no—
828C23×C7C2×#4112yes—
829C23×C7H(5,𝔽2)12yes—
830C23×C7C2511yescharacteristic
831C22×D7—21no—
832C22×D7—21no—
833C22×D7—21no—
834C22×D7—21no—
835C22×D7—28no—
836C22×D7—21no—
837C22×D7—21no—
838C22×D7—21no—
839C22×D7—21no—
840C22×D7—21no—
841C22×D7—21no—
842C22×D7—21no—
843C22×D7—21no—
844C22×D7—21no—
845C22×D7—21no—
846C22×D7—21no—
847C22×D7—21no—
848C22×D7—28no—
849C22×D7—21no—
850C22×D7—21no—
851C22×D7—21no—
852C22×D7—21no—
853C22×D7—21no—
854C22×D7—21no—
855C22×D7—21no—
856C22×D7—44no—
857C22×D7—44no—
858C22×D7—44no—
859C22×D7—44no—
860C22×D7—44no—
861C22×D7—44no—
862C22×D7—44no—
863C22×D7—44no—
864C22×D7—82no—
865C22×D7—82no—
866C22×D7—82no—
867C22×D7—82no—
868C22×D7C2×#4112yes—
869C22×D7C2×#4112yes—
870C22×D7H(5,𝔽2)12yes—
871C22×D7H(5,𝔽2)12yes—
872C22×D7H(5,𝔽2)12yes—
873C7×Q8—82no—
874C7×D4—44no—
875C7×D4—82no—
876C7×D4—82no—
877C2×C4×C7—21no—
878C2×C4×C7—21no—
879C2×C4×C7—21no—
880C2×C4×C7—21no—
881C2×C4×C7—21no—
882C2×C4×C7—21no—
883C2×C4×C7—21no—
884C2×C4×C7—21no—
885C2×C4×C7—21no—
886C2×C4×C7—21no—
887C2×C4×C7—21no—
888C2×C4×C7—21no—
889C2×C4×C7—21no—
890C2×C4×C7—21no—
891C2×C4×C7—21no—
892C2×C4×C7—21no—
893C2×C4×C7—21no—
894C2×C4×C7—21no—
895C2×C4×C7—21no—
896C2×C4×C7—21no—
897C2×C4×C7—21no—
898C2×C4×C7—21no—
899C2×C4×C7—21no—
900C2×C4×C7—21no—
901C2×C4×C7—21no—
902C2×C4×C7—21no—
903C2×C4×C7—21no—
904C2×C4×C7—21no—
905C2×C4×C7—21no—
906C2×C4×C7—21no—
907C2×C4×C7—21no—
908C2×C4×C7—21no—
909C2×C4×C7—21no—
910C2×C4×C7—44no—
911C22⋊D7—44no—
912C22⋊D7—44no—
913C22⋊D7—44no—
914C22⋊D7—44no—
915C22⋊D7—44no—
916C22⋊D7—44no—
917C22⋊D7—82no—
918C22⋊D7—82no—
919C22⋊D7—82no—
920C22⋊D7—82no—
921C22⋊D7—82no—
922C22⋊D7—82no—
923C2×Dic7—21no—
924C2×Dic7—21no—
925C2×Dic7—21no—
926C2×Dic7—21no—
927C2×Dic7—21no—
928C2×Dic7—21no—
929C2×Dic7—21no—
930C2×Dic7—21no—
931C2×Dic7—21no—
932C2×Dic7—21no—
933C2×Dic7—21no—
934C2×Dic7—21no—
935C2×Dic7—21no—
936C2×Dic7—21no—
937C2×Dic7—21no—
938C2×Dic7—21no—
939C2×Dic7—21no—
940C2×Dic7—21no—
941C2×Dic7—21no—
942C2×Dic7—21no—
943C2×Dic7—21no—
944C2×Dic7—21no—
945C2×Dic7—21no—
946C2×Dic7—21no—
947C2×Dic7—21no—
948C2×Dic7—21no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—21no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—21no—
958C2×Dic7—44no—
959C2×Dic7—44no—
960C2×Dic7H(5,𝔽2)12yes—
961D28—44no—
962D28—44no—
963D28—82no—
964D28—82no—
965C4×D7—44no—
966C4×D7—44no—
967C4×D7—44no—
968C4×D7—44no—
969C4×D7—44no—
970C4×D7—82no—
971C4×D7—82no—
972C4×D7—82no—
973C4×D7—82no—
974C4×D7—82no—
975C25—71no—
976C25—71no—
977C25C22×D711yescharacteristic
978C22×Q8C22×D711yescharacteristic
979C22×D4—71no—
980C22×D4—71no—
981C22×D4—71no—
982C22×D4—71no—
983C22×D4—71no—
984C22×D4—71no—
985C22×D4—71no—
986C22×D4—71no—
987C22×D4—71no—
988C22×D4—71no—
989C22×D4—71no—
990C22×D4—71no—
991C22×D4—71no—
992C22×D4—71no—
993C22×D4—71no—
994C22×D4—71no—
995C22×D4—144no—
996C22×D4—144no—
997C22×D4—282no—
998C22×D4—282no—
999C22×D4—282no—
1000C22×D4—282no—
1001C22×D4C22×D711yescharacteristic
1002C22×D4C22×D711yescharacteristic
1003C22×D4C22×D711yescharacteristic
1004C23×C4—71no—
1005C23×C4—71no—
1006C23×C4—71no—
1007C23×C4—71no—
1008C23×C4—71no—
1009C23×C4—71no—
1010C23×C4—71no—
1011C23×C4—71no—
1012C23×C4—71no—
1013C23×C4—71no—
1014C23×C4—71no—
1015C23×C4—71no—
1016C23×C4—282no—
1017C23×C4—282no—
1018C23×C4—282no—
1019C23×C4C22×D711yescharacteristic
1020#124—42no—
1021#123—282no—
1022#123—282no—
1023C22⋊Q8—282no—
1024C22⋊Q8—282no—
1025#121—282no—
1026#121—282no—
1027#121—282no—
1028#121—282no—
1029#121—282no—
1030#121—282no—
1031#121—282no—
1032#120—42no—
1033#120—144no—
1034#120—282no—
1035#120—282no—
1036#120—282no—
1037#120—282no—
1038#120—282no—
1039C4×D4—282no—
1040C2×C4⋊C4—71no—
1041C2×C4⋊C4—71no—
1042C2×C4⋊C4—71no—
1043C2×C4⋊C4—71no—
1044C2×C4⋊C4—71no—
1045C2×C4⋊C4—71no—
1046C2×C4⋊C4—71no—
1047C2×C4⋊C4—71no—
1048C2×C4⋊C4—71no—
1049C2×C4⋊C4—71no—
1050C2×C4⋊C4—71no—
1051C2×C4⋊C4—71no—
1052C2×C4⋊C4—71no—
1053C2×C4⋊C4—71no—
1054C2×C4⋊C4C22×D711yescharacteristic
1055C2×C4⋊C4C22×D711yescharacteristic
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—71no—
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—71no—
1072C2×C22⋊C4—71no—
1073C2×C22⋊C4—71no—
1074C2×C22⋊C4—71no—
1075C2×C22⋊C4—71no—
1076C2×C22⋊C4—71no—
1077C2×C22⋊C4—71no—
1078C2×C22⋊C4—71no—
1079C2×C22⋊C4—71no—
1080C2×C22⋊C4—71no—
1081C2×C22⋊C4—71no—
1082C2×C22⋊C4—71no—
1083C2×C22⋊C4—71no—
1084C2×C22⋊C4—71no—
1085C2×C22⋊C4—71no—
1086C2×C22⋊C4—71no—
1087C2×C22⋊C4—71no—
1088C2×C22⋊C4—71no—
1089C2×C22⋊C4—71no—
1090C2×C22⋊C4—71no—
1091C2×C22⋊C4—71no—
1092C2×C22⋊C4—71no—
1093C2×C22⋊C4—71no—
1094C2×C22⋊C4—71no—
1095C2×C22⋊C4—71no—
1096C2×C22⋊C4—71no—
1097C2×C22⋊C4—71no—
1098C2×C22⋊C4—282no—
1099C2×C22⋊C4—282no—
1100C2×C22⋊C4—282no—
1101C2×C22⋊C4—282no—
1102C2×C22⋊C4C22×D711yescharacteristic
1103C2×C22⋊C4C22×D711yescharacteristic
1104C2×C22⋊C4C22×D711yescharacteristic
1105C2×C22⋊C4C22×D711yescharacteristic
1106C2×C22⋊C4C22×D711yescharacteristic
1107C2×C22⋊C4C22×D711yescharacteristic
1108C2×C22⋊C4C22×D711yescharacteristic
1109C2×C22⋊C4C22×D711yescharacteristic
1110C2×C22⋊C4C22×D711yescharacteristic
1111C2×C22⋊C4C22×D711yescharacteristic
1112C2×C22⋊C4C22×D711yescharacteristic
1113C2×C22⋊C4C22×D711yescharacteristic
1114C2×C22⋊C4C22×D711yescharacteristic
1115C2×C22⋊C4C22×D711yescharacteristic
1116C2×C22⋊C4C22×D711yescharacteristic
1117C2×C22⋊C4C22×D711yescharacteristic
1118C2×C22⋊C4C22×D711yescharacteristic
1119C2×C22⋊C4C22×D711yescharacteristic
1120C2×C42—71no—
1121C2×C42—71no—
1122C2×C42C22×D711yescharacteristic
1123#95—71no—
1124#95—71no—
1125#95—71no—
1126#95—71no—
1127#95—71no—
1128#95—71no—
1129#95—71no—
1130#95—71no—
1131#95—71no—
1132#95—71no—
1133#95—71no—
1134#95—71no—
1135#95—71no—
1136#95—71no—
1137#95—71no—
1138#95—71no—
1139#95—71no—
1140#95—71no—
1141#95—71no—
1142#95—71no—
1143#95—71no—
1144#95—71no—
1145#95—71no—
1146#95—71no—
1147#95—71no—
1148#95—71no—
1149#95—71no—
1150#95—71no—
1151#95—71no—
1152#95—71no—
1153#95—71no—
1154#95—71no—
1155#95C22×D711yescharacteristic
1156#95C22×D711yescharacteristic
1157#95C22×D711yescharacteristic
1158#95C22×D711yescharacteristic
1159#95C22×D711yescharacteristic
1160#95C22×D711yescharacteristic
1161#95C22×D711yescharacteristic
1162#95C22×D711yescharacteristic
1163C22×C7—22no—
1164C22×C7—22no—
1165C22×C7—22no—
1166C22×C7—22no—
1167C22×C7—22no—
1168C22×C7—22no—
1169C22×C7—41no—
1170C22×C7—41no—
1171C22×C7—41no—
1172C22×C7—41no—
1173C22×C7—41no—
1174C22×C7—41no—
1175C22×C7—41no—
1176C22×C7—41no—
1177C22×C7—41no—
1178C22×C7—41no—
1179C22×C7—41no—
1180C22×C7—41no—
1181C22×C7—41no—
1182C22×C7—41no—
1183C22×C7—41no—
1184C22×C7—41no—
1185C22×C7—41no—
1186C22×C7—41no—
1187C22×C7—41no—
1188C22×C7—41no—
1189C22×C7—41no—
1190C22×C7—41no—
1191C22×C7—88no—
1192C22×C7C22×#4111yescharacteristic
1193C22×C7C2×H(5,𝔽2)11yescharacteristic
1194C22×C7C2×H(5,𝔽2)11yescharacteristic
1195C22×C7C2×H(5,𝔽2)11yescharacteristic
1196C22×C7C2×H(5,𝔽2)11yescharacteristic
1197C22×C7C2×H(5,𝔽2)11yescharacteristic
1198C22×C7#58511yescharacteristic
1199C2×D7—22no—
1200C2×D7—22no—
1201C2×D7—22no—
1202C2×D7—22no—
1203C2×D7—22no—
1204C2×D7—22no—
1205C2×D7—22no—
1206C2×D7—22no—
1207C2×D7—22no—
1208C2×D7—22no—
1209C2×D7—22no—
1210C2×D7—22no—
1211C2×D7—416no—
1212C2×D7—41no—
1213C2×D7—41no—
1214C2×D7—41no—
1215C2×D7—41no—
1216C2×D7—41no—
1217C2×D7—41no—
1218C2×D7—41no—
1219C2×D7—41no—
1220C2×D7—41no—
1221C2×D7—41no—
1222C2×D7—41no—
1223C2×D7—41no—
1224C2×D7—41no—
1225C2×D7—41no—
1226C2×D7—41no—
1227C2×D7—88no—
1228C2×D7#53814yes—
1229C4×C7—41no—
1230C4×C7—41no—
1231C4×C7—41no—
1232C4×C7—41no—
1233C4×C7—41no—
1234C4×C7—41no—
1235C4×C7—41no—
1236C4×C7—41no—
1237C4×C7—41no—
1238C4×C7—41no—
1239C4×C7—41no—
1240Dic7—22no—
1241Dic7—41no—
1242Dic7—41no—
1243Dic7—41no—
1244Dic7—41no—
1245Dic7—41no—
1246Dic7—41no—
1247Dic7—41no—
1248Dic7—41no—
1249Dic7—41no—
1250Dic7—41no—
1251Dic7—41no—
1252C24—22no—
1253C24—41no—
1254C24—41no—
1255C24—41no—
1256C24—41no—
1257C24—41no—
1258C24—41no—
1259C24—71no—
1260C24—71no—
1261C24—71no—
1262C24—74no—
1263C24—71no—
1264C24—142no—
1265C24—142no—
1266C24—142no—
1267C24—142no—
1268C24—142no—
1269C24—142no—
1270C24—142no—
1271C24—281no—
1272C24—281no—
1273C24—281no—
1274C24—281no—
1275C24—281no—
1276C24—281no—
1277C24C23×D711yescharacteristic
1278C24C23×D711yescharacteristic
1279C24C23×D711yescharacteristic
1280C24C23×D711yescharacteristic
1281C2×Q8—41no—
1282C2×Q8—41no—
1283C2×Q8—41no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—142no—
1294C2×D4—142no—
1295C2×D4—142no—
1296C2×D4—142no—
1297C2×D4—142no—
1298C2×D4—142no—
1299C2×D4—142no—
1300C2×D4—142no—
1301C2×D4—142no—
1302C2×D4—142no—
1303C2×D4—142no—
1304C2×D4—142no—
1305C2×D4—142no—
1306C2×D4—142no—
1307C2×D4—142no—
1308C2×D4—142no—
1309C2×D4—142no—
1310C2×D4—142no—
1311C2×D4—142no—
1312C2×D4—142no—
1313C2×D4—142no—
1314C2×D4—142no—
1315C2×D4—142no—
1316C2×D4—142no—
1317C2×D4—281no—
1318C2×D4—281no—
1319C2×D4—281no—
1320C2×D4—281no—
1321C2×D4—281no—
1322C2×D4—281no—
1323C2×D4—281no—
1324C2×D4—281no—
1325C2×D4—281no—
1326C2×D4—281no—
1327C2×D4—281no—
1328C2×D4—281no—
1329C2×D4—281no—
1330C2×D4—281no—
1331C2×D4—281no—
1332C2×D4—281no—
1333C2×D4—281no—
1334C2×D4—281no—
1335C2×D4—281no—
1336C2×D4—281no—
1337C2×D4—281no—
1338C2×D4—281no—
1339C2×D4—281no—
1340C2×D4—281no—
1341C2×D4—2816no—
1342C2×D4—2816no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—71no—
1347C22×C4—71no—
1348C22×C4—71no—
1349C22×C4—71no—
1350C22×C4—71no—
1351C22×C4—71no—
1352C22×C4—71no—
1353C22×C4—71no—
1354C22×C4—71no—
1355C22×C4—71no—
1356C22×C4—71no—
1357C22×C4—71no—
1358C22×C4—142no—
1359C22×C4—142no—
1360C22×C4—142no—
1361C22×C4—142no—
1362C22×C4—142no—
1363C22×C4—142no—
1364C22×C4—142no—
1365C22×C4—142no—
1366C22×C4—142no—
1367C22×C4—142no—
1368C22×C4—142no—
1369C22×C4—281no—
1370C22×C4—281no—
1371C22×C4—281no—
1372C22×C4—281no—
1373C22×C4—281no—
1374C22×C4—281no—
1375C22×C4—281no—
1376C22×C4—281no—
1377C22×C4—281no—
1378C22×C4—281no—
1379C22×C4—281no—
1380C22×C4—281no—
1381C22×C4—281no—
1382C22×C4—281no—
1383C22×C4—281no—
1384C22×C4—281no—
1385C22×C4—281no—
1386C22×C4—281no—
1387C22×C4—281no—
1388C22×C4—281no—
1389C22×C4—281no—
1390C22×C4—2816no—
1391C22×C4—281no—
1392C22×C4—281no—
1393C22×C4—281no—
1394C22×C4—281no—
1395C22×C4C23×D711yescharacteristic
1396C22×C4C23×D711yescharacteristic
1397C22×C4C23×D711yescharacteristic
1398C22×C4C23×D711yescharacteristic
1399C22×C4C23×D711yescharacteristic
1400C22×C4C23×D711yescharacteristic
1401C22×C4C23×D711yescharacteristic
1402C22×C4C23×D711yescharacteristic
1403C22×C4C23×D711yescharacteristic
1404C22×C4C23×D711yescharacteristic
1405C22×C4C23×D711yescharacteristic
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—142no—
1409C4⋊C4—142no—
1410C4⋊C4—281no—
1411C4⋊C4—281no—
1412C4⋊C4—281no—
1413C4⋊C4—281no—
1414C4⋊C4—281no—
1415C4⋊C4—281no—
1416C4⋊C4—281no—
1417C4⋊C4—281no—
1418C4⋊C4—281no—
1419C4⋊C4—281no—
1420C4⋊C4—281no—
1421C4⋊C4—281no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—142no—
1441C22⋊C4—142no—
1442C22⋊C4—142no—
1443C22⋊C4—142no—
1444C22⋊C4—142no—
1445C22⋊C4—142no—
1446C22⋊C4—142no—
1447C22⋊C4—142no—
1448C22⋊C4—142no—
1449C22⋊C4—142no—
1450C22⋊C4—142no—
1451C22⋊C4—281no—
1452C22⋊C4—281no—
1453C22⋊C4—281no—
1454C22⋊C4—281no—
1455C22⋊C4—281no—
1456C22⋊C4—281no—
1457C22⋊C4—281no—
1458C22⋊C4—281no—
1459C22⋊C4—281no—
1460C22⋊C4—281no—
1461C22⋊C4—281no—
1462C22⋊C4—281no—
1463C22⋊C4—281no—
1464C22⋊C4—281no—
1465C22⋊C4—281no—
1466C22⋊C4—281no—
1467C22⋊C4—281no—
1468C22⋊C4—281no—
1469C22⋊C4—281no—
1470C22⋊C4—281no—
1471C22⋊C4—281no—
1472C22⋊C4—281no—
1473C22⋊C4—281no—
1474C22⋊C4—281no—
1475C22⋊C4—281no—
1476C22⋊C4—281no—
1477C22⋊C4—281no—
1478C22⋊C4—281no—
1479C22⋊C4—281no—
1480C22⋊C4—281no—
1481C22⋊C4—281no—
1482C42—41no—
1483C42—281no—
1484C42—281no—
1485C2×C7—42no—
1486C2×C7—42no—
1487C2×C7—81no—
1488C2×C7—81no—
1489C2×C7C2×#53811yescharacteristic
1490C2×C7#349011yescharacteristic
1491C2×C7#350511yescharacteristic
1492C2×C7#353211yescharacteristic
1493C2×C7#353411yescharacteristic
1494C2×C7#353411yescharacteristic
1495C2×C7#353711yescharacteristic
1496D7—24no—
1497D7—42no—
1498D7—42no—
1499D7—81no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—44no—
1527C23—72no—
1528C23—72no—
1529C23—72no—
1530C23—72no—
1531C23—72no—
1532C23—82no—
1533C23—82no—
1534C23—82no—
1535C23—82no—
1536C23—82no—
1537C23—82no—
1538C23—148no—
1539C23—148no—
1540C23—141no—
1541C23—141no—
1542C23—141no—
1543C23—141no—
1544C23—141no—
1545C23—141no—
1546C23—141no—
1547C23—141no—
1548C23—141no—
1549C23—141no—
1550C23—141no—
1551C23—141no—
1552C23—141no—
1553C23—141no—
1554C23—141no—
1555C23—141no—
1556C23—141no—
1557C23—141no—
1558C23—141no—
1559C23—141no—
1560C23—141no—
1561C23—141no—
1562C23—141no—
1563C23—284no—
1564C23—284no—
1565C23—284no—
1566C23—284no—
1567C23—284no—
1568C23—284no—
1569C23—284no—
1570C23—284no—
1571C23—562no—
1572C23—562no—
1573C23—562no—
1574C23—562no—
1575C23#654812yes—
1576C23D7×#4112yes—
1577C23C24×D711yescharacteristic
1578Q8—82no—
1579D4—44no—
1580D4—82no—
1581D4—82no—
1582D4—284no—
1583D4—284no—
1584D4—284no—
1585D4—284no—
1586D4—284no—
1587D4—284no—
1588D4—284no—
1589D4—284no—
1590D4—562no—
1591D4—562no—
1592D4—562no—
1593D4—562no—
1594D4—562no—
1595D4—562no—
1596D4—562no—
1597D4—562no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—44no—
1632C2×C4—72no—
1633C2×C4—141no—
1634C2×C4—141no—
1635C2×C4—141no—
1636C2×C4—141no—
1637C2×C4—141no—
1638C2×C4—141no—
1639C2×C4—141no—
1640C2×C4—141no—
1641C2×C4—141no—
1642C2×C4—141no—
1643C2×C4—141no—
1644C2×C4—141no—
1645C2×C4—141no—
1646C2×C4—141no—
1647C2×C4—141no—
1648C2×C4—141no—
1649C2×C4—141no—
1650C2×C4—141no—
1651C2×C4—141no—
1652C2×C4—141no—
1653C2×C4—141no—
1654C2×C4—141no—
1655C2×C4—141no—
1656C2×C4—141no—
1657C2×C4—141no—
1658C2×C4—141no—
1659C2×C4—141no—
1660C2×C4—141no—
1661C2×C4—141no—
1662C2×C4—141no—
1663C2×C4—141no—
1664C2×C4—141no—
1665C2×C4—141no—
1666C2×C4—141no—
1667C2×C4—141no—
1668C2×C4—284no—
1669C2×C4—284no—
1670C2×C4—284no—
1671C2×C4—284no—
1672C2×C4—284no—
1673C2×C4—284no—
1674C2×C4—284no—
1675C2×C4—562no—
1676C2×C4—562no—
1677C2×C4—562no—
1678C2×C4—562no—
1679C2×C4—562no—
1680C7#3677611yescharacteristic, complemented, Sylow
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—74no—
1710C22—88no—
1711C22—142no—
1712C22—142no—
1713C22—142no—
1714C22—142no—
1715C22—142no—
1716C22—142no—
1717C22—142no—
1718C22—142no—
1719C22—142no—
1720C22—142no—
1721C22—142no—
1722C22—142no—
1723C22—2816no—
1724C22—281no—
1725C22—281no—
1726C22—281no—
1727C22—281no—
1728C22—281no—
1729C22—281no—
1730C22—281no—
1731C22—281no—
1732C22—281no—
1733C22—281no—
1734C22—281no—
1735C22—281no—
1736C22—281no—
1737C22—281no—
1738C22—281no—
1739C22—568no—
1740C22C2×#654811yescharacteristic
1741C22C2×D7×#4111yescharacteristic
1742C22#9061611yescharacteristic
1743C22D7×H(5,𝔽2)11yescharacteristic
1744C22D7×H(5,𝔽2)11yescharacteristic
1745C22D7×H(5,𝔽2)11yescharacteristic
1746C22D7×H(5,𝔽2)11yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—142no—
1759C4—281no—
1760C4—281no—
1761C4—281no—
1762C4—281no—
1763C4—281no—
1764C4—281no—
1765C4—281no—
1766C4—281no—
1767C4—281no—
1768C4—281no—
1769C4—281no—
1770C2—42no—
1771C2—42no—
1772C2—81no—
1773C2—81no—
1774C2—144no—
1775C2—282no—
1776C2—282no—
1777C2—561no—
1778C2#1174336911yescharacteristic
1779C2D7×#53811yescharacteristic
1780C2#1174348911yescharacteristic
1781C2#1174373211yescharacteristic
1782C2#1174373711yescharacteristic
1783C2#1174388511yescharacteristic
1784C2#1174415811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2684C2
hypercenter#2684D7
hypocenterC7#36776
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2684

Complements

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

NH ≅ G/Ntype
1. C7×#2684C2semidirect
2. #11740428C2semidirect
3. #11740410C2semidirect
4. #11740053C2semidirect
5. #11740049C2semidirect
6. #11735158C2semidirect
7. #11735139C2semidirect
8. #11735133C2semidirect
9. #11735120C2semidirect
10. #11734558C2semidirect
11. #11734553C2semidirect
12. #11734509C2semidirect
13. #11734499C2semidirect
14. #11734317C2semidirect
15. #11734310C2semidirect
16. #11734287C2semidirect
17. #11734271C2semidirect
18. #11733385C2semidirect
19. #11733316C2semidirect
20. #11733271C2semidirect
21. #11733128C2semidirect
22. #11732381C2semidirect
23. #11732380C2semidirect
24. #11732368C2semidirect
25. D7×#386C2semidirect
26. #11732300C2semidirect
27. #11732286C2semidirect
28. #11731303C2semidirect
29. #11731299C2semidirect
30. #11731294C2semidirect
31. #11731285C2semidirect
34. C23×C4×D7C22semidirect
35. C2×C7×#124C22semidirect
38. C2×#6516C22semidirect
39. C2×#6509C22semidirect
40. C2×#6509C22semidirect
41. C2×#6502C22semidirect
42. C2×#6501C22semidirect
45. C2×#6458C22semidirect
46. C2×#6456C22semidirect
49. C2×#6447C22semidirect
50. C2×#6447C22semidirect
51. C2×#6446C22semidirect
52. C2×#6446C22semidirect
54. C2×#6445C22semidirect
58. C2×D7×C22⋊C4C22semidirect
59. C7×#397C22semidirect
60. C7×#397C22semidirect
62. C7×#394C22semidirect
63. C7×#393C22semidirect
64. C7×#393C22semidirect
65. C7×#388C22semidirect
66. C7×#388C22semidirect
68. C7×#386C22semidirect
69. C7×#386C22semidirect
70. C7×#379C22semidirect
71. C7×#379C22semidirect
72. #90019C22semidirect
73. #90003C22semidirect
74. #90003C22semidirect
78. #89994C22semidirect
81. #89992C22semidirect
82. #89985C22semidirect
83. #89985C22semidirect
84. #89982C22semidirect
85. #89766C22semidirect
86. #89762C22semidirect
87. #89761C22semidirect
88. #89758C22semidirect
89. #89754C22semidirect
90. #89754C22semidirect
91. #89733C22semidirect
92. #89733C22semidirect
96. #89732C22semidirect
97. #89732C22semidirect
98. #89732C22semidirect
100. #89731C22semidirect
101. #89731C22semidirect
102. #89731C22semidirect
103. #89731C22semidirect
104. #89731C22semidirect
106. #89730C22semidirect
107. #89730C22semidirect
108. #89729C22semidirect
109. #89729C22semidirect
110. #89729C22semidirect
121. #89728C22semidirect
122. #89728C22semidirect
123. #89728C22semidirect
124. #89728C22semidirect
125. #89728C22semidirect
126. #89728C22semidirect
127. #89728C22semidirect
128. #89728C22semidirect
130. #89727C22semidirect
131. #89725C22semidirect
132. #89725C22semidirect
133. #89724C22semidirect
134. #89724C22semidirect
135. #89724C22semidirect
136. #89724C22semidirect
137. #89723C22semidirect
138. #89723C22semidirect
139. #89722C22semidirect
140. #89721C22semidirect
141. #89720C22semidirect
142. #89720C22semidirect
143. #89720C22semidirect
144. #89718C22semidirect
145. #89717C22semidirect
146. #89716C22semidirect
147. #89716C22semidirect
148. #89715C22semidirect
149. #89715C22semidirect
150. #89714C22semidirect
151. #89712C22semidirect
152. #89711C22semidirect
153. C4×(C2×D7)⋊C4C22semidirect
154. #89705C22semidirect
155. #89447C22semidirect
156. #89446C22semidirect
157. #89441C22semidirect
158. #89440C22semidirect
159. #89440C22semidirect
160. #89440C22semidirect
161. #89440C22semidirect
162. #89440C22semidirect
163. #89439C22semidirect
164. #89439C22semidirect
165. #89439C22semidirect
166. #89437C22semidirect
167. #89437C22semidirect
168. #89437C22semidirect
169. #89437C22semidirect
170. #89437C22semidirect
171. #89437C22semidirect
172. #89437C22semidirect
173. #89437C22semidirect
174. #89436C22semidirect
175. #89436C22semidirect
176. #89436C22semidirect
177. D7×#95C22semidirect
178. D7×#95C22semidirect
179. C7⋊#401C22semidirect
180. C7⋊#401C22semidirect
181. #89432C22semidirect
182. #89430C22semidirect
183. #89430C22semidirect
184. #89430C22semidirect
185. #89425C22semidirect
186. #89423C22semidirect
390. #2684D7semidirect
643. C2×#124C2×D7semidirect
685. #397C2×D7semidirect
686. #397C2×D7semidirect
701. #394C2×D7semidirect
704. #393C2×D7semidirect
705. #393C2×D7semidirect
727. #388C2×D7semidirect
728. #388C2×D7semidirect
766. #386C2×D7semidirect
767. #386C2×D7semidirect
790. #379C2×D7semidirect
791. #379C2×D7semidirect
1680. C7#36776semidirect

Maximal subgroups

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

subgroupindex
C7×#26842
#117404282
#117404102
#117400532
#117400492
#117351582
#117351392
#117351332
#117351202
#117345582
#117345532
#117345092
#117344992
#117343172
#117343102
#117342872
#117342712
#117333852
#117333162
#117332712
#117331282
#117323812
#117323802
#117323682
D7×#3862
#117323002
#117322862
#117313032
#117312992
#117312942
#117312852
#367767