Finite Group Databasebeta

← #13562139

Subgroups — #13562139

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×#2847C211yesmaximal, characteristic, complemented
2#11741478C211yesmaximal, characteristic, complemented
3C2×#89985C211yesmaximal, characteristic, complemented
4#11740165C211yesmaximal, characteristic, complemented
5#11740164C211yesmaximal, characteristic, complemented
6#11740158C211yesmaximal, characteristic, complemented
7#11740147C211yesmaximal, characteristic, complemented
8#11740133C211yesmaximal, characteristic, complemented
9#11740101C211yesmaximal, characteristic, complemented
10#11740050C211yesmaximal, characteristic, complemented
11#11740049C211yesmaximal, characteristic, complemented
12#11740034C211yesmaximal, characteristic, complemented
13#11740032C211yesmaximal, characteristic, complemented
14#11732376C211yesmaximal, characteristic, complemented
15#11732375C211yesmaximal, characteristic, complemented
16#11732369C211yesmaximal, characteristic, complemented
17#11732363C211yesmaximal, characteristic, complemented
18#11732320C211yesmaximal, characteristic, complemented
19#11732319C211yesmaximal, characteristic, complemented
20#11732300C211yesmaximal, characteristic, complemented
21#11732296C211yesmaximal, characteristic, complemented
22#11732260C211yesmaximal, characteristic, complemented
23#11732244C211yesmaximal, characteristic, complemented
24#11732231C211yesmaximal, characteristic, complemented
25#11732230C211yesmaximal, characteristic, complemented
26#11731490C211yesmaximal, characteristic, complemented
27#11731489C211yesmaximal, characteristic, complemented
28#11731425C211yesmaximal, characteristic, complemented
29#11731409C211yesmaximal, characteristic, complemented
30#11731373C211yesmaximal, characteristic, complemented
31#11731341C211yesmaximal, characteristic, complemented
32C24×C4×C7C2211yescharacteristic, complemented
33C23×C22⋊D7C2211yescharacteristic
34C22×D4×D7C2211yescharacteristic
35C2×C7×#121C2211yescharacteristic
36C2×C7×#121C2211yescharacteristic, complemented
37C2×C7×#121C2211yescharacteristic, complemented
38C2×C7×#120C2211yescharacteristic
39C2×C7×#120C2211yescharacteristic, complemented
40C2×#6516C2211yescharacteristic
41C22×C22⋊Dic7C2211yescharacteristic, complemented
42C2×#6502C2211yescharacteristic
43C2×#6502C2211yescharacteristic, complemented
44C2×#6501C2211yescharacteristic, complemented
45C2×#6501C2211yescharacteristic, complemented
46C2×#6500C2211yescharacteristic
47C2×#6500C2211yescharacteristic
48C2×#6500C2211yescharacteristic
49C2×#6500C2211yescharacteristic, complemented
50C2×#6499C2211yescharacteristic, complemented
51C2×D4×Dic7C2211yescharacteristic, complemented
52C2×#6492C2211yescharacteristic, complemented
53C2×#6492C2211yescharacteristic, complemented
54C22×(C2×D7)⋊C4C2211yescharacteristic
55C22×(C2×D7)⋊C4C2211yescharacteristic
56C2×#6459C2211yescharacteristic, complemented
57C2×D7×C22⋊C4C2211yescharacteristic
58C2×#6441C2211yescharacteristic, complemented
59C7×#386C2211yescharacteristic
60C7×#386C2211yescharacteristic, complemented
61C7×#386C2211yescharacteristic, complemented
62C7×#386C2211yescharacteristic, complemented
63C7×#386C2211yescharacteristic, complemented
64C7×#386C2211yescharacteristic, complemented
65C7×#380C2211yescharacteristic, complemented
66C7×#380C2211yescharacteristic, complemented
67C7×#380C2211yescharacteristic, complemented
68#90019C2211yescharacteristic, complemented
69#89995C2211yescharacteristic
70#89995C2211yescharacteristic
71#89995C2211yescharacteristic
72#89995C2211yescharacteristic
73#89995C2211yescharacteristic, complemented
74#89995C2211yescharacteristic, complemented
75#89994C2211yescharacteristic, complemented
76#89994C2211yescharacteristic, complemented
77#89994C2211yescharacteristic, complemented
78#89994C2211yescharacteristic, complemented
79#89993C2211yescharacteristic, complemented
80#89992C2211yescharacteristic
81#89992C2211yescharacteristic
82#89992C2211yescharacteristic
83#89992C2211yescharacteristic, complemented
84#89992C2211yescharacteristic, complemented
85#89992C2211yescharacteristic, complemented
86#89985C2211yescharacteristic
87#89985C2211yescharacteristic
88#89985C2211yescharacteristic
89#89985C2211yescharacteristic
90#89985C2211yescharacteristic
91#89985C2211yescharacteristic
92#89985C2211yescharacteristic, complemented
93#89985C2211yescharacteristic, complemented
94#89985C2211yescharacteristic, complemented
95#89985C2211yescharacteristic, complemented
96#89985C2211yescharacteristic, complemented
97#89985C2211yescharacteristic, complemented
98#89983C2211yescharacteristic, complemented
99#89983C2211yescharacteristic, complemented
100#89982C2211yescharacteristic, complemented
101#89982C2211yescharacteristic, complemented
102#89982C2211yescharacteristic, complemented
103#89982C2211yescharacteristic, complemented
104C2×C7⋊#95C2211yescharacteristic, complemented
105C2×C7⋊#95C2211yescharacteristic, complemented
106#89766C2211yescharacteristic, complemented
107#89765C2211yescharacteristic, complemented
108#89764C2211yescharacteristic, complemented
109#89763C2211yescharacteristic, complemented
110#89762C2211yescharacteristic, complemented
111#89761C2211yescharacteristic, complemented
112#89761C2211yescharacteristic, complemented
113#89758C2211yescharacteristic, complemented
114#89758C2211yescharacteristic, complemented
115#89753C2211yescharacteristic, complemented
116#89750C2211yescharacteristic, complemented
117#89733C2211yescharacteristic
118#89733C2211yescharacteristic
119#89733C2211yescharacteristic, complemented
120#89733C2211yescharacteristic, complemented
121#89732C2211yescharacteristic
122#89732C2211yescharacteristic
123#89732C2211yescharacteristic, complemented
124#89731C2211yescharacteristic, complemented
125#89731C2211yescharacteristic, complemented
126#89730C2211yescharacteristic
127#89730C2211yescharacteristic
128#89730C2211yescharacteristic, complemented
129#89730C2211yescharacteristic, complemented
130#89729C2211yescharacteristic, complemented
131#89729C2211yescharacteristic, complemented
132#89729C2211yescharacteristic, complemented
133#89728C2211yescharacteristic
134#89728C2211yescharacteristic
135#89728C2211yescharacteristic, complemented
136#89728C2211yescharacteristic, complemented
137#89728C2211yescharacteristic, complemented
138#89728C2211yescharacteristic, complemented
139#89728C2211yescharacteristic, complemented
140#89727C2211yescharacteristic
141#89727C2211yescharacteristic, complemented
142#89727C2211yescharacteristic, complemented
143#89727C2211yescharacteristic, complemented
144#89725C2211yescharacteristic, complemented
145#89725C2211yescharacteristic, complemented
146#89725C2211yescharacteristic, complemented
147#89724C2211yescharacteristic, complemented
148#89724C2211yescharacteristic, complemented
149#89724C2211yescharacteristic, complemented
150#89724C2211yescharacteristic, complemented
151#89722C2211yescharacteristic, complemented
152#89720C2211yescharacteristic, complemented
153#89720C2211yescharacteristic, complemented
154#89719C2211yescharacteristic, complemented
155#89719C2211yescharacteristic, complemented
156#89718C2211yescharacteristic, complemented
157#89717C2211yescharacteristic, complemented
158#89717C2211yescharacteristic, complemented
159#89717C2211yescharacteristic, complemented
160#89716C2211yescharacteristic, complemented
161#89715C2211yescharacteristic, complemented
162C22⋊C4×Dic7C2211yescharacteristic, complemented
163#89448C2211yescharacteristic, complemented
164#89447C2211yescharacteristic, complemented
165#89446C2211yescharacteristic, complemented
166#89445C2211yescharacteristic, complemented
167#89445C2211yescharacteristic, complemented
168#89442C2211yescharacteristic, complemented
169#89442C2211yescharacteristic, complemented
170#89442C2211yescharacteristic, complemented
171#89441C2211yescharacteristic, complemented
172#89441C2211yescharacteristic, complemented
173#89440C2211yescharacteristic, complemented
174#89439C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89436C2211yescharacteristic, complemented
178#89436C2211yescharacteristic, complemented
179C7⋊#401C2211yescharacteristic, complemented
180C7⋊#401C2211yescharacteristic, complemented
181#89432C2211yescharacteristic, complemented
182#89432C2211yescharacteristic, complemented
183#89431C2211yescharacteristic, complemented
184#89430C2211yescharacteristic, complemented
185#89430C2211yescharacteristic, complemented
186#89423C2211yescharacteristic, complemented
187#36776—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
198C23×C4×C7—42no—
199C23×C4×C7—42no—
200C23×C4×C7—42no—
201C23×C4×C7C2311yescharacteristic
202C23×C4×C7C2311yescharacteristic
203C23×C4×C7C2311yescharacteristic
204C23×C4×C7C2311yescharacteristic
205C23×C4×C7C2311yescharacteristic
206C23×C4×C7C2311yescharacteristic
207C22×C22⋊D7—24no—
208C22×C22⋊D7—42no—
209C22×C22⋊D7—42no—
210C22×C22⋊D7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C22×C22⋊D7C2311yescharacteristic
214C22×C22⋊D7C2311yescharacteristic
215C22×C22⋊D7C2311yescharacteristic
216C22×C22⋊D7C2311yescharacteristic
217C22×C22⋊D7C2311yescharacteristic
218C22×C22⋊D7C2311yescharacteristic
219C22×C22⋊D7C2311yescharacteristic
220C22×C22⋊D7C2311yescharacteristic
221C23×Dic7C2311yescharacteristic
222C23×Dic7C2311yescharacteristic
223C23×Dic7C2311yescharacteristic
224C23×Dic7C2311yescharacteristic
225C2×D4×D7—24no—
226C2×D4×D7—42no—
227C2×D4×D7—42no—
228C22×D28C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×C4×D7C2311yescharacteristic
231C22×C4×D7C2311yescharacteristic
232C22×Dic14C2311yescharacteristic
233C7×#121—42no—
234C7×#121—42no—
235C7×#121—42no—
236C7×#120—42no—
237C7×#120—42no—
238C2×C7×C4⋊C4C2311yescharacteristic
239C2×C7×C4⋊C4C2311yescharacteristic
240C2×C7×C4⋊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
253#6516—42no—
254C2×C22⋊Dic7—42no—
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
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
274C2×C22⋊Dic7C2311yescharacteristic
275C2×C22⋊Dic7C2311yescharacteristic
276C2×C22⋊Dic7C2311yescharacteristic
277C2×C22⋊Dic7C2311yescharacteristic
278#6502—42no—
279#6502—42no—
280#6501—42no—
281#6501—42no—
282#6500—24no—
283#6500—42no—
284#6500—42no—
285#6500—42no—
286#6499—42no—
287D4×Dic7—42no—
288#6492—42no—
289#6492—42no—
290C2×(C2×D7)⋊C4—42no—
291C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
307C2×(C2×D7)⋊C4C2311yescharacteristic
308C2×(C2×D7)⋊C4C2311yescharacteristic
309C2×(C2×D7)⋊C4C2311yescharacteristic
310C2×(C2×D7)⋊C4C2311yescharacteristic
311C2×(C2×D7)⋊C4C2311yescharacteristic
312C2×(C2×D7)⋊C4C2311yescharacteristic
313C2×(C2×D7)⋊C4C2311yescharacteristic
314C2×(C2×D7)⋊C4C2311yescharacteristic
315C2×(C2×D7)⋊C4C2311yescharacteristic
316C2×(C2×D7)⋊C4C2311yescharacteristic
317C2×C4⋊Dic7C2311yescharacteristic
318C2×C4⋊Dic7C2311yescharacteristic
319C2×C4⋊Dic7C2311yescharacteristic
320C2×C4⋊Dic7C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×Dic7⋊C4C2311yescharacteristic
325C2×Dic7⋊C4C2311yescharacteristic
326C2×Dic7⋊C4C2311yescharacteristic
327C2×Dic7⋊C4C2311yescharacteristic
328C2×Dic7⋊C4C2311yescharacteristic
329C2×Dic7⋊C4C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333#6459—42no—
334D7×C22⋊C4—42no—
335#6441—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#2847D711yescharacteristic, complemented
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#2684—71no—
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—22no—
409C24×C7—22no—
410C24×C7—22no—
411C24×C7—22no—
412C24×C7—41no—
413C24×C7—41no—
414C24×C7C2411yescharacteristic
415C24×C7C2411yescharacteristic
416C24×C7C2411yescharacteristic
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—41no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7—41no—
427C23×D7—41no—
428C23×D7—41no—
429C23×D7—41no—
430C23×D7—41no—
431C23×D7—41no—
432C23×D7#4114yes—
433C23×D7C2411yescharacteristic
434C23×D7C2411yescharacteristic
435C23×D7C2411yescharacteristic
436C2×C7×D4—22no—
437C2×C7×D4—22no—
438C2×C7×D4—22no—
439C2×C7×D4—22no—
440C2×C7×D4—22no—
441C2×C7×D4—22no—
442C2×C7×D4—22no—
443C2×C7×D4—22no—
444C2×C7×D4—22no—
445C2×C7×D4—22no—
446C2×C7×D4—22no—
447C2×C7×D4—41no—
448C2×C7×D4—41no—
449C2×C7×D4—41no—
450C2×C7×D4—41no—
451C2×C7×D4—41no—
452C2×C7×D4—41no—
453C2×C7×D4—41no—
454C2×C7×D4—41no—
455C2×C7×D4—41no—
456C2×C7×D4—41no—
457C22×C4×C7—22no—
458C22×C4×C7—22no—
459C22×C4×C7—22no—
460C22×C4×C7—22no—
461C22×C4×C7—22no—
462C22×C4×C7—22no—
463C22×C4×C7—22no—
464C22×C4×C7—41no—
465C22×C4×C7—41no—
466C22×C4×C7—41no—
467C22×C4×C7—41no—
468C22×C4×C7—41no—
469C22×C4×C7—41no—
470C22×C4×C7—41no—
471C22×C4×C7—41no—
472C22×C4×C7—41no—
473C22×C4×C7—41no—
474C22×C4×C7—41no—
475C22×C4×C7—416no—
476C22×C4×C7C2411yescharacteristic
477C22×C4×C7C2411yescharacteristic
478C22×C4×C7C2411yescharacteristic
479C22×C4×C7C2411yescharacteristic
480C22×C4×C7C2411yescharacteristic
481C22×C4×C7C2411yescharacteristic
482C22×C4×C7C2411yescharacteristic
483C22×C4×C7C2411yescharacteristic
484C22×C4×C7C2411yescharacteristic
485C22×C4×C7C2411yescharacteristic
486C2×C22⋊D7—22no—
487C2×C22⋊D7—22no—
488C2×C22⋊D7—22no—
489C2×C22⋊D7—22no—
490C2×C22⋊D7—22no—
491C2×C22⋊D7—22no—
492C2×C22⋊D7—22no—
493C2×C22⋊D7—22no—
494C2×C22⋊D7—22no—
495C2×C22⋊D7—22no—
496C2×C22⋊D7—22no—
497C2×C22⋊D7—22no—
498C2×C22⋊D7—22no—
499C2×C22⋊D7—22no—
500C2×C22⋊D7—22no—
501C2×C22⋊D7—22no—
502C2×C22⋊D7—41no—
503C2×C22⋊D7—41no—
504C2×C22⋊D7—41no—
505C2×C22⋊D7—41no—
506C2×C22⋊D7—41no—
507C2×C22⋊D7—41no—
508C2×C22⋊D7—41no—
509C2×C22⋊D7—41no—
510C2×C22⋊D7—41no—
511C2×C22⋊D7—41no—
512C2×C22⋊D7—41no—
513C2×C22⋊D7—41no—
514C2×C22⋊D7—41no—
515C2×C22⋊D7—41no—
516C2×C22⋊D7—41no—
517C2×C22⋊D7—41no—
518C2×C22⋊D7—41no—
519C2×C22⋊D7—416no—
520C22×Dic7—22no—
521C22×Dic7—22no—
522C22×Dic7—22no—
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×Dic7—41no—
532C22×Dic7C2411yescharacteristic
533C22×Dic7C2411yescharacteristic
534C22×Dic7C2411yescharacteristic
535C22×Dic7C2411yescharacteristic
536C22×Dic7C2411yescharacteristic
537C22×Dic7C2411yescharacteristic
538C22×Dic7C2411yescharacteristic
539C22×Dic7C2411yescharacteristic
540C22×Dic7C2411yescharacteristic
541C22×Dic7C2411yescharacteristic
542C22×Dic7C2411yescharacteristic
543C22×Dic7C2411yescharacteristic
544C22×Dic7C2411yescharacteristic
545D4×D7—416no—
546C2×D28—22no—
547C2×D28—41no—
548C2×D28—41no—
549C2×C4×D7—22no—
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×Dic14—41no—
559C2×Dic14—41no—
560C2×Dic14—41no—
561C7×C4⋊C4—22no—
562C7×C4⋊C4—41no—
563C7×C4⋊C4—41no—
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—
576C22⋊Dic7—22no—
577C22⋊Dic7—22no—
578C22⋊Dic7—22no—
579C22⋊Dic7—22no—
580C22⋊Dic7—22no—
581C22⋊Dic7—22no—
582C22⋊Dic7—22no—
583C22⋊Dic7—41no—
584C22⋊Dic7—41no—
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—
598C22⋊Dic7—41no—
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—41no—
605(C2×D7)⋊C4—41no—
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—41no—
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—
637C4×Dic7—41no—
638C4×Dic7—41no—
639C4×Dic7—41no—
640C23×D4—71no—
641C23×D4—71no—
642C24×C4C2×D711yescharacteristic, complemented
643C2×#124—71no—
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×#121C2×D711yescharacteristic
653C2×#121C2×D711yescharacteristic, complemented
654C2×#121C2×D711yescharacteristic, complemented
655C2×#120—71no—
656C2×#120—71no—
657C2×#120—71no—
658C2×#120—71no—
659C2×#120—71no—
660C2×#120C2×D711yescharacteristic
661C2×#120C2×D711yescharacteristic, complemented
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#397—71no—
686#397—71no—
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#394—71no—
701#394—71no—
702#393—71no—
703#393—71no—
704#393—71no—
705#393—71no—
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#388—71no—
728#388—71no—
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#386C2×D711yescharacteristic
763#386C2×D711yescharacteristic, complemented
764#386C2×D711yescharacteristic, complemented
765#386C2×D711yescharacteristic, complemented
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#380C2×D711yescharacteristic, complemented
785#380C2×D711yescharacteristic, complemented
786#380C2×D711yescharacteristic, complemented
787#379—71no—
788#379—71no—
789#379—71no—
790#379—71no—
791#379—71no—
792C4×C22⋊C4—71no—
793C2×#95—71no—
794C2×#95—71no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—28no—
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—21no—
822C23×C7—21no—
823C23×C7—21no—
824C23×C7—21no—
825C23×C7—21no—
826C23×C7—44no—
827C23×C7—44no—
828C23×C7—44no—
829C23×C7—44no—
830C23×C7—44no—
831C23×C7—44no—
832C23×C7C2×#4112yes—
833C23×C7H(5,𝔽2)12yes—
834C23×C7H(5,𝔽2)12yes—
835C23×C7H(5,𝔽2)12yes—
836C23×C7H(5,𝔽2)12yes—
837C23×C7C2511yescharacteristic
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—21no—
849C22×D7—21no—
850C22×D7—28no—
851C22×D7—21no—
852C22×D7—21no—
853C22×D7—21no—
854C22×D7—21no—
855C22×D7—21no—
856C22×D7—21no—
857C22×D7—21no—
858C22×D7—44no—
859C22×D7—44no—
860C22×D7—44no—
861C22×D7—82no—
862C22×D7—82no—
863C22×D7—82no—
864C22×D7—82no—
865C22×D7—82no—
866C22×D7—82no—
867C22×D7—82no—
868C22×D7—82no—
869C22×D7—82no—
870C22×D7—82no—
871C22×D7C2×#4112yes—
872C22×D7C2×#4112yes—
873C7×D4—44no—
874C7×D4—44no—
875C7×D4—82no—
876C7×D4—82no—
877C7×D4—82no—
878C7×D4—82no—
879C7×D4—82no—
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—44no—
910C2×C4×C7—44no—
911C2×C4×C7—44no—
912C2×C4×C7—44no—
913C2×C4×C7—44no—
914C2×C4×C7—44no—
915C2×C4×C7H(5,𝔽2)12yes—
916C22⋊D7—44no—
917C22⋊D7—44no—
918C22⋊D7—44no—
919C22⋊D7—44no—
920C22⋊D7—44no—
921C22⋊D7—44no—
922C22⋊D7—82no—
923C22⋊D7—82no—
924C22⋊D7—82no—
925C22⋊D7—82no—
926C22⋊D7—82no—
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—21no—
959C2×Dic7—21no—
960C2×Dic7—21no—
961C2×Dic7—21no—
962C2×Dic7—21no—
963C2×Dic7—21no—
964C2×Dic7—21no—
965C2×Dic7—21no—
966C2×Dic7—44no—
967C2×Dic7—82no—
968C2×Dic7—82no—
969C2×Dic7—82no—
970D28—44no—
971C4×D7—44no—
972C4×D7—82no—
973C4×D7—82no—
974Dic14—82no—
975C25—71no—
976C25—71no—
977C25C22×D711yescharacteristic
978C22×Q8—71no—
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—144no—
992C22×D4—144no—
993C22×D4—282no—
994C22×D4—282no—
995C22×D4—282no—
996C22×D4—282no—
997C22×D4C22×D711yescharacteristic
998C22×D4C22×D711yescharacteristic
999C22×D4C22×D711yescharacteristic
1000C22×D4C22×D711yescharacteristic
1001C22×D4C22×D711yescharacteristic
1002C22×D4C22×D711yescharacteristic
1003C22×D4C22×D711yescharacteristic
1004C23×C4—42no—
1005C23×C4—42no—
1006C23×C4—42no—
1007C23×C4—71no—
1008C23×C4—71no—
1009C23×C4—71no—
1010C23×C4—71no—
1011C23×C4—71no—
1012C23×C4—71no—
1013C23×C4—71no—
1014C23×C4C22×D711yescharacteristic
1015C23×C4C22×D711yescharacteristic
1016C23×C4C22×D711yescharacteristic
1017C23×C4C22×D711yescharacteristic
1018C23×C4C22×D711yescharacteristic
1019C23×C4C22×D711yescharacteristic
1020#124—282no—
1021#123—282no—
1022#123—282no—
1023C22⋊Q8—282no—
1024C22⋊Q8—282no—
1025#121—42no—
1026#121—42no—
1027#121—42no—
1028#121—282no—
1029#121—282no—
1030#121—282no—
1031#121—282no—
1032#120—42no—
1033#120—42no—
1034#120—144no—
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⋊C4C22×D711yescharacteristic
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—71no—
1099C2×C22⋊C4—71no—
1100C2×C22⋊C4—71no—
1101C2×C22⋊C4—71no—
1102C2×C22⋊C4—71no—
1103C2×C22⋊C4—71no—
1104C2×C22⋊C4—282no—
1105C2×C22⋊C4—282no—
1106C2×C22⋊C4—282no—
1107C2×C22⋊C4—282no—
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×C42—71no—
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#95—71no—
1156#95—71no—
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—22no—
1170C22×C7—22no—
1171C22×C7—22no—
1172C22×C7—22no—
1173C22×C7—22no—
1174C22×C7—22no—
1175C22×C7—416no—
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—41no—
1192C22×C7—41no—
1193C22×C7—41no—
1194C22×C7—41no—
1195C22×C7—41no—
1196C22×C7—41no—
1197C22×C7—41no—
1198C22×C7#53814yes—
1199C22×C7C22×#4111yescharacteristic
1200C22×C7C2×H(5,𝔽2)11yescharacteristic
1201C22×C7C2×H(5,𝔽2)11yescharacteristic
1202C22×C7C2×H(5,𝔽2)11yescharacteristic
1203C22×C7C2×H(5,𝔽2)11yescharacteristic
1204C22×C7C2×H(5,𝔽2)11yescharacteristic
1205C22×C7#58511yescharacteristic
1206C2×D7—22no—
1207C2×D7—22no—
1208C2×D7—22no—
1209C2×D7—22no—
1210C2×D7—22no—
1211C2×D7—22no—
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—88no—
1229C4×C7—22no—
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—
1239Dic7—41no—
1240Dic7—41no—
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—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—41no—
1258C24—41no—
1259C24—71no—
1260C24—71no—
1261C24—74no—
1262C24—71no—
1263C24—142no—
1264C24—142no—
1265C24—142no—
1266C24—281no—
1267C24—281no—
1268C24—281no—
1269C24—281no—
1270C24—281no—
1271C24—281no—
1272C24—281no—
1273C24—281no—
1274C24—281no—
1275C24—281no—
1276C24C23×D711yescharacteristic
1277C24C23×D711yescharacteristic
1278C24C23×D711yescharacteristic
1279C24C23×D711yescharacteristic
1280C24C23×D711yescharacteristic
1281C2×Q8—281no—
1282C2×Q8—281no—
1283C2×Q8—281no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
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—142no—
1318C2×D4—142no—
1319C2×D4—142no—
1320C2×D4—142no—
1321C2×D4—142no—
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—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—416no—
1362C22×C4—71no—
1363C22×C4—71no—
1364C22×C4—71no—
1365C22×C4—71no—
1366C22×C4—71no—
1367C22×C4—71no—
1368C22×C4—71no—
1369C22×C4—71no—
1370C22×C4—71no—
1371C22×C4—71no—
1372C22×C4—71no—
1373C22×C4—71no—
1374C22×C4—71no—
1375C22×C4—142no—
1376C22×C4—142no—
1377C22×C4—142no—
1378C22×C4—142no—
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—281no—
1391C22×C4—281no—
1392C22×C4—281no—
1393C22×C4—281no—
1394C22×C4—281no—
1395C22×C4—281no—
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—22no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
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—41no—
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—142no—
1435C22⋊C4—142no—
1436C22⋊C4—142no—
1437C22⋊C4—142no—
1438C22⋊C4—142no—
1439C22⋊C4—142no—
1440C22⋊C4—142no—
1441C22⋊C4—142no—
1442C22⋊C4—142no—
1443C22⋊C4—142no—
1444C22⋊C4—142no—
1445C22⋊C4—142no—
1446C22⋊C4—281no—
1447C22⋊C4—281no—
1448C22⋊C4—281no—
1449C22⋊C4—281no—
1450C22⋊C4—281no—
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—281no—
1483C42—281no—
1484C42—281no—
1485C2×C7—24no—
1486C2×C7—42no—
1487C2×C7—42no—
1488C2×C7—81no—
1489C2×C7—81no—
1490C2×C7C2×#53811yescharacteristic
1491C2×C7#349011yescharacteristic
1492C2×C7#350511yescharacteristic
1493C2×C7#353211yescharacteristic
1494C2×C7#353411yescharacteristic
1495C2×C7#353411yescharacteristic
1496C2×C7#353711yescharacteristic
1497D7—42no—
1498D7—42no—
1499D7—81no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—28no—
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—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—72no—
1538C23—72no—
1539C23—141no—
1540C23—141no—
1541C23—141no—
1542C23—141no—
1543C23—141no—
1544C23—141no—
1545C23—141no—
1546C23—141no—
1547C23—141no—
1548C23—141no—
1549C23—141no—
1550C23—141no—
1551C23—148no—
1552C23—141no—
1553C23—141no—
1554C23—141no—
1555C23—141no—
1556C23—141no—
1557C23—141no—
1558C23—141no—
1559C23—284no—
1560C23—284no—
1561C23—284no—
1562C23—562no—
1563C23—562no—
1564C23—562no—
1565C23—562no—
1566C23—562no—
1567C23—562no—
1568C23—562no—
1569C23—562no—
1570C23—562no—
1571C23—562no—
1572C23#654812yes—
1573C23#654812yes—
1574C23#654812yes—
1575C23D7×#4112yes—
1576C23#655312yes—
1577C23C24×D711yescharacteristic
1578Q8—562no—
1579D4—44no—
1580D4—44no—
1581D4—82no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—284no—
1587D4—284no—
1588D4—284no—
1589D4—284no—
1590D4—284no—
1591D4—284no—
1592D4—284no—
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—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
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—141no—
1669C2×C4—141no—
1670C2×C4—141no—
1671C2×C4—141no—
1672C2×C4—284no—
1673C2×C4—284no—
1674C2×C4—562no—
1675C2×C4—562no—
1676C2×C4—562no—
1677C2×C4—562no—
1678C2×C4—562no—
1679C2×C4#654812yes—
1680C7#3677611yescharacteristic, complemented, Sylow
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—416no—
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—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—142no—
1717C22—142no—
1718C22—142no—
1719C22—142no—
1720C22—142no—
1721C22—142no—
1722C22—281no—
1723C22—281no—
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—568no—
1738C22—568no—
1739C22#9030414yes—
1740C22C2×#654811yescharacteristic
1741C22C2×#654811yescharacteristic
1742C22C2×#654811yescharacteristic
1743C22C2×#654811yescharacteristic
1744C22C2×D7×#4111yescharacteristic
1745C22C2×#655311yescharacteristic
1746C22#9061611yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—281no—
1758C4—281no—
1759C4—281no—
1760C4—281no—
1761C4—281no—
1762C4—281no—
1763C4—281no—
1764C4—281no—
1765C4—281no—
1766C4—281no—
1767C4—281no—
1768C4—281no—
1769C4—281no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—81no—
1775C2—282no—
1776C2—282no—
1777C2—561no—
1778C2#1174298911yescharacteristic
1779C2#1174300611yescharacteristic
1780C2C2×#9030411yescharacteristic
1781C2#1174302211yescharacteristic
1782C2#1174311111yescharacteristic
1783C2#1174311211yescharacteristic
1784C2#1174311811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2847C2
hypercenter#2847D7
hypocenterC7#36776
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C7×#2847C2semidirect
2. #11741478C2semidirect
3. C2×#89985C2semidirect
4. #11740165C2semidirect
5. #11740164C2semidirect
6. #11740158C2semidirect
7. #11740147C2semidirect
8. #11740133C2semidirect
9. #11740101C2semidirect
10. #11740050C2semidirect
11. #11740049C2semidirect
12. #11740034C2semidirect
13. #11740032C2semidirect
14. #11732376C2semidirect
15. #11732375C2semidirect
16. #11732369C2semidirect
17. #11732363C2semidirect
18. #11732320C2semidirect
19. #11732319C2semidirect
20. #11732300C2semidirect
21. #11732296C2semidirect
22. #11732260C2semidirect
23. #11732244C2semidirect
24. #11732231C2semidirect
25. #11732230C2semidirect
26. #11731490C2semidirect
27. #11731489C2semidirect
28. #11731425C2semidirect
29. #11731409C2semidirect
30. #11731373C2semidirect
31. #11731341C2semidirect
32. C24×C4×C7C22semidirect
36. C2×C7×#121C22semidirect
37. C2×C7×#121C22semidirect
39. C2×C7×#120C22semidirect
41. C22×C22⋊Dic7C22semidirect
43. C2×#6502C22semidirect
44. C2×#6501C22semidirect
45. C2×#6501C22semidirect
49. C2×#6500C22semidirect
50. C2×#6499C22semidirect
51. C2×D4×Dic7C22semidirect
52. C2×#6492C22semidirect
53. C2×#6492C22semidirect
56. C2×#6459C22semidirect
58. C2×#6441C22semidirect
60. C7×#386C22semidirect
61. C7×#386C22semidirect
62. C7×#386C22semidirect
63. C7×#386C22semidirect
64. C7×#386C22semidirect
65. C7×#380C22semidirect
66. C7×#380C22semidirect
67. C7×#380C22semidirect
68. #90019C22semidirect
73. #89995C22semidirect
74. #89995C22semidirect
75. #89994C22semidirect
76. #89994C22semidirect
77. #89994C22semidirect
78. #89994C22semidirect
79. #89993C22semidirect
83. #89992C22semidirect
84. #89992C22semidirect
85. #89992C22semidirect
92. #89985C22semidirect
93. #89985C22semidirect
94. #89985C22semidirect
95. #89985C22semidirect
96. #89985C22semidirect
97. #89985C22semidirect
98. #89983C22semidirect
99. #89983C22semidirect
100. #89982C22semidirect
101. #89982C22semidirect
102. #89982C22semidirect
103. #89982C22semidirect
104. C2×C7⋊#95C22semidirect
105. C2×C7⋊#95C22semidirect
106. #89766C22semidirect
107. #89765C22semidirect
108. #89764C22semidirect
109. #89763C22semidirect
110. #89762C22semidirect
111. #89761C22semidirect
112. #89761C22semidirect
113. #89758C22semidirect
114. #89758C22semidirect
115. #89753C22semidirect
116. #89750C22semidirect
119. #89733C22semidirect
120. #89733C22semidirect
123. #89732C22semidirect
124. #89731C22semidirect
125. #89731C22semidirect
128. #89730C22semidirect
129. #89730C22semidirect
130. #89729C22semidirect
131. #89729C22semidirect
132. #89729C22semidirect
135. #89728C22semidirect
136. #89728C22semidirect
137. #89728C22semidirect
138. #89728C22semidirect
139. #89728C22semidirect
141. #89727C22semidirect
142. #89727C22semidirect
143. #89727C22semidirect
144. #89725C22semidirect
145. #89725C22semidirect
146. #89725C22semidirect
147. #89724C22semidirect
148. #89724C22semidirect
149. #89724C22semidirect
150. #89724C22semidirect
151. #89722C22semidirect
152. #89720C22semidirect
153. #89720C22semidirect
154. #89719C22semidirect
155. #89719C22semidirect
156. #89718C22semidirect
157. #89717C22semidirect
158. #89717C22semidirect
159. #89717C22semidirect
160. #89716C22semidirect
161. #89715C22semidirect
162. C22⋊C4×Dic7C22semidirect
163. #89448C22semidirect
164. #89447C22semidirect
165. #89446C22semidirect
166. #89445C22semidirect
167. #89445C22semidirect
168. #89442C22semidirect
169. #89442C22semidirect
170. #89442C22semidirect
171. #89441C22semidirect
172. #89441C22semidirect
173. #89440C22semidirect
174. #89439C22semidirect
175. #89437C22semidirect
176. #89437C22semidirect
177. #89436C22semidirect
178. #89436C22semidirect
179. C7⋊#401C22semidirect
180. C7⋊#401C22semidirect
181. #89432C22semidirect
182. #89432C22semidirect
183. #89431C22semidirect
184. #89430C22semidirect
185. #89430C22semidirect
186. #89423C22semidirect
377. #2847D7semidirect
642. C24×C4C2×D7semidirect
653. C2×#121C2×D7semidirect
654. C2×#121C2×D7semidirect
661. C2×#120C2×D7semidirect
763. #386C2×D7semidirect
764. #386C2×D7semidirect
765. #386C2×D7semidirect
766. #386C2×D7semidirect
767. #386C2×D7semidirect
784. #380C2×D7semidirect
785. #380C2×D7semidirect
786. #380C2×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×#28472
#117414782
C2×#899852
#117401652
#117401642
#117401582
#117401472
#117401332
#117401012
#117400502
#117400492
#117400342
#117400322
#117323762
#117323752
#117323692
#117323632
#117323202
#117323192
#117323002
#117322962
#117322602
#117322442
#117322312
#117322302
#117314902
#117314892
#117314252
#117314092
#117313732
#117313412
#367767