Finite Group Databasebeta

← #13562133

Subgroups — #13562133

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×#2403C211yesmaximal, characteristic, complemented
2#11741493C211yesmaximal, characteristic, complemented
3#11741493C211yesmaximal, characteristic, complemented
4#11741488C211yesmaximal, characteristic, complemented
5C2×#89992C211yesmaximal, characteristic, complemented
6#11740053C211yesmaximal, characteristic, complemented
7#11740047C211yesmaximal, characteristic, complemented
8#11740046C211yesmaximal, characteristic, complemented
9#11740045C211yesmaximal, characteristic, complemented
10#11740043C211yesmaximal, characteristic, complemented
11#11740041C211yesmaximal, characteristic, complemented
12#11740034C211yesmaximal, characteristic, complemented
13#11740031C211yesmaximal, characteristic, complemented
14#11734218C211yesmaximal, characteristic, complemented
15#11734183C211yesmaximal, characteristic, complemented
16#11734183C211yesmaximal, characteristic, complemented
17#11734178C211yesmaximal, characteristic, complemented
18#11734167C211yesmaximal, characteristic, complemented
19#11734164C211yesmaximal, characteristic, complemented
20#11734162C211yesmaximal, characteristic, complemented
21#11734159C211yesmaximal, characteristic, complemented
22#11732296C211yesmaximal, characteristic, complemented
23#11732287C211yesmaximal, characteristic, complemented
24#11732285C211yesmaximal, characteristic, complemented
25#11732280C211yesmaximal, characteristic, complemented
26#11732231C211yesmaximal, characteristic, complemented
27#11732230C211yesmaximal, characteristic, complemented
28#11732190C211yesmaximal, characteristic, complemented
29#11732152C211yesmaximal, characteristic, complemented
30#11731273C211yesmaximal, characteristic, complemented
31#11731266C211yesmaximal, characteristic, complemented
32C23×C7×D4C2211yescharacteristic
33C23×C7×D4C2211yescharacteristic
34C24×Dic7C2211yescharacteristic, complemented
35C2×C7×#120C2211yescharacteristic
36C2×C7×#120C2211yescharacteristic
37C2×C7×#120C2211yescharacteristic
38C2×C7×#120C2211yescharacteristic
39C2×#6516C2211yescharacteristic
40C2×#6516C2211yescharacteristic, complemented
41C2×#6516C2211yescharacteristic, complemented
42C22×C22⋊Dic7C2211yescharacteristic
43C22×C22⋊Dic7C2211yescharacteristic
44C22×C22⋊Dic7C2211yescharacteristic
45C22×C22⋊Dic7C2211yescharacteristic, complemented
46C2×#6502C2211yescharacteristic
47C2×#6502C2211yescharacteristic
48C2×#6502C2211yescharacteristic, complemented
49C2×#6502C2211yescharacteristic, complemented
50C2×#6502C2211yescharacteristic, complemented
51C2×#6502C2211yescharacteristic, complemented
52C2×#6501C2211yescharacteristic, complemented
53C2×#6499C2211yescharacteristic, complemented
54C2×#6498C2211yescharacteristic, complemented
55C2×#6498C2211yescharacteristic, complemented
56C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
57C2×#6441C2211yescharacteristic, complemented
58C2×#6441C2211yescharacteristic, complemented
59C7×#392C2211yescharacteristic
60C7×#392C2211yescharacteristic
61C7×#392C2211yescharacteristic
62C7×#392C2211yescharacteristic
63C7×#386C2211yescharacteristic
64C7×#386C2211yescharacteristic
65C7×#386C2211yescharacteristic
66C7×#386C2211yescharacteristic
67C7×#379C2211yescharacteristic
68#90019C2211yescharacteristic, complemented
69#90019C2211yescharacteristic, complemented
70#90019C2211yescharacteristic, complemented
71#90019C2211yescharacteristic, complemented
72#89995C2211yescharacteristic
73#89995C2211yescharacteristic
74#89995C2211yescharacteristic, complemented
75#89995C2211yescharacteristic, complemented
76#89995C2211yescharacteristic, complemented
77#89994C2211yescharacteristic
78#89994C2211yescharacteristic
79#89994C2211yescharacteristic, complemented
80#89994C2211yescharacteristic, complemented
81#89994C2211yescharacteristic, complemented
82#89994C2211yescharacteristic, complemented
83#89994C2211yescharacteristic, complemented
84#89993C2211yescharacteristic, complemented
85#89993C2211yescharacteristic, complemented
86#89992C2211yescharacteristic
87#89992C2211yescharacteristic
88#89992C2211yescharacteristic
89#89992C2211yescharacteristic
90#89992C2211yescharacteristic
91#89992C2211yescharacteristic
92#89992C2211yescharacteristic
93#89992C2211yescharacteristic
94#89992C2211yescharacteristic
95#89992C2211yescharacteristic
96#89992C2211yescharacteristic, complemented
97#89992C2211yescharacteristic, complemented
98#89992C2211yescharacteristic, complemented
99#89992C2211yescharacteristic, complemented
100#89992C2211yescharacteristic, complemented
101#89992C2211yescharacteristic, complemented
102#89992C2211yescharacteristic, complemented
103#89992C2211yescharacteristic, complemented
104#89992C2211yescharacteristic, complemented
105#89992C2211yescharacteristic, complemented
106#89992C2211yescharacteristic, complemented
107#89992C2211yescharacteristic, complemented
108#89992C2211yescharacteristic, complemented
109#89992C2211yescharacteristic, complemented
110#89985C2211yescharacteristic, complemented
111#89985C2211yescharacteristic, complemented
112#89983C2211yescharacteristic, complemented
113#89983C2211yescharacteristic, complemented
114#89982C2211yescharacteristic, complemented
115#89982C2211yescharacteristic, complemented
116C2×C7⋊#95C2211yescharacteristic, complemented
117C2×C7⋊#95C2211yescharacteristic, complemented
118#89733C2211yescharacteristic, complemented
119#89733C2211yescharacteristic, complemented
120#89731C2211yescharacteristic, complemented
121#89731C2211yescharacteristic, complemented
122#89730C2211yescharacteristic, complemented
123#89730C2211yescharacteristic, complemented
124#89730C2211yescharacteristic, complemented
125#89729C2211yescharacteristic, complemented
126#89729C2211yescharacteristic, complemented
127#89728C2211yescharacteristic, complemented
128#89728C2211yescharacteristic, complemented
129#89728C2211yescharacteristic, complemented
130#89728C2211yescharacteristic, complemented
131#89725C2211yescharacteristic, complemented
132#89725C2211yescharacteristic, complemented
133#89724C2211yescharacteristic, complemented
134#89724C2211yescharacteristic, complemented
135#89724C2211yescharacteristic, complemented
136#89724C2211yescharacteristic, complemented
137#89724C2211yescharacteristic, complemented
138#89724C2211yescharacteristic, complemented
139#89722C2211yescharacteristic, complemented
140#89722C2211yescharacteristic, complemented
141#89721C2211yescharacteristic, complemented
142#89720C2211yescharacteristic, complemented
143#89720C2211yescharacteristic, complemented
144#89720C2211yescharacteristic, complemented
145#89720C2211yescharacteristic, complemented
146#89719C2211yescharacteristic, complemented
147#89719C2211yescharacteristic, complemented
148#89719C2211yescharacteristic, complemented
149#89718C2211yescharacteristic, complemented
150#89718C2211yescharacteristic, complemented
151#89718C2211yescharacteristic, complemented
152#89718C2211yescharacteristic, complemented
153#89718C2211yescharacteristic, complemented
154#89717C2211yescharacteristic, complemented
155#89717C2211yescharacteristic, complemented
156#89717C2211yescharacteristic, complemented
157#89717C2211yescharacteristic, complemented
158#89717C2211yescharacteristic, complemented
159#89717C2211yescharacteristic, complemented
160#89716C2211yescharacteristic, complemented
161#89716C2211yescharacteristic, complemented
162#89716C2211yescharacteristic, complemented
163#89716C2211yescharacteristic, complemented
164#89715C2211yescharacteristic, complemented
165#89715C2211yescharacteristic, complemented
166#89714C2211yescharacteristic, complemented
167#89714C2211yescharacteristic, complemented
168#89714C2211yescharacteristic, complemented
169#89714C2211yescharacteristic, complemented
170C22⋊C4×Dic7C2211yescharacteristic, complemented
171#89447C2211yescharacteristic, complemented
172#89447C2211yescharacteristic, complemented
173#89445C2211yescharacteristic, complemented
174#89436C2211yescharacteristic, complemented
175C7⋊#401C2211yescharacteristic, complemented
176C7⋊#401C2211yescharacteristic, complemented
177#89432C2211yescharacteristic, complemented
178#89432C2211yescharacteristic, complemented
179#89431C2211yescharacteristic, complemented
180#89430C2211yescharacteristic, complemented
181#89430C2211yescharacteristic, complemented
182#89430C2211yescharacteristic, complemented
183#89430C2211yescharacteristic, complemented
184#89424C2211yescharacteristic, complemented
185#89424C2211yescharacteristic, complemented
186#89423C2211yescharacteristic, complemented
187#36776—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C25×C7C2311yescharacteristic
190C25×C7C2311yescharacteristic
191C22×C7×D4—24no—
192C22×C7×D4—24no—
193C22×C7×D4—42no—
194C22×C7×D4—42no—
195C22×C7×D4—42no—
196C22×C7×D4—42no—
197C22×C7×D4C2311yescharacteristic
198C22×C7×D4C2311yescharacteristic
199C22×C7×D4C2311yescharacteristic
200C22×C7×D4C2311yescharacteristic
201C22×C7×D4C2311yescharacteristic
202C22×C7×D4C2311yescharacteristic
203C22×C7×D4C2311yescharacteristic
204C22×C7×D4C2311yescharacteristic
205C22×C7×D4C2311yescharacteristic
206C22×C7×D4C2311yescharacteristic
207C22×C7×D4C2311yescharacteristic
208C22×C7×D4C2311yescharacteristic
209C23×C4×C7C2311yescharacteristic
210C23×C4×C7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C22×C22⋊D7C2311yescharacteristic
214C22×C22⋊D7C2311yescharacteristic
215C22×C22⋊D7C2311yescharacteristic
216C22×C22⋊D7C2311yescharacteristic
217C22×C22⋊D7C2311yescharacteristic
218C23×Dic7—42no—
219C23×Dic7—42no—
220C23×Dic7—42no—
221C23×Dic7C2311yescharacteristic
222C23×Dic7C2311yescharacteristic
223C23×Dic7C2311yescharacteristic
224C23×Dic7C2311yescharacteristic
225C23×Dic7C2311yescharacteristic
226C23×Dic7C2311yescharacteristic
227C23×Dic7C2311yescharacteristic
228C23×Dic7C2311yescharacteristic
229C23×Dic7C2311yescharacteristic
230C23×Dic7C2311yescharacteristic
231C22×C4×D7C2311yescharacteristic
232C22×Dic14C2311yescharacteristic
233C7×#120—42no—
234C7×#120—42no—
235C7×#120—42no—
236C7×#120—42no—
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
251#6516—24no—
252#6516—42no—
253#6516—42no—
254C2×C22⋊Dic7—42no—
255C2×C22⋊Dic7—42no—
256C2×C22⋊Dic7—42no—
257C2×C22⋊Dic7—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
274C2×C22⋊Dic7C2311yescharacteristic
275C2×C22⋊Dic7C2311yescharacteristic
276C2×C22⋊Dic7C2311yescharacteristic
277C2×C22⋊Dic7C2311yescharacteristic
278C2×C22⋊Dic7C2311yescharacteristic
279C2×C22⋊Dic7C2311yescharacteristic
280C2×C22⋊Dic7C2311yescharacteristic
281C2×C22⋊Dic7C2311yescharacteristic
282C2×C22⋊Dic7C2311yescharacteristic
283C2×C22⋊Dic7C2311yescharacteristic
284C2×C22⋊Dic7C2311yescharacteristic
285C2×C22⋊Dic7C2311yescharacteristic
286C2×C22⋊Dic7C2311yescharacteristic
287C2×C22⋊Dic7C2311yescharacteristic
288C2×C22⋊Dic7C2311yescharacteristic
289C2×C22⋊Dic7C2311yescharacteristic
290C2×C22⋊Dic7C2311yescharacteristic
291C2×C22⋊Dic7C2311yescharacteristic
292C2×C22⋊Dic7C2311yescharacteristic
293C2×C22⋊Dic7C2311yescharacteristic
294C2×C22⋊Dic7C2311yescharacteristic
295C2×C22⋊Dic7C2311yescharacteristic
296C2×C22⋊Dic7C2311yescharacteristic
297#6502—42no—
298#6502—42no—
299#6502—42no—
300#6502—42no—
301#6502—42no—
302#6502—42no—
303#6501—42no—
304#6499—42no—
305#6498—42no—
306#6498—42no—
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×C4⋊Dic7C2311yescharacteristic
315C2×C4⋊Dic7C2311yescharacteristic
316C2×C4⋊Dic7C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
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(C22⋊D7)⋊C4—42no—
334#6441—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#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#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#2403D711yescharacteristic, complemented
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—22no—
413C24×C7—22no—
414C24×C7—22no—
415C24×C7—41no—
416C24×C7—41no—
417C24×C7—41no—
418C24×C7—41no—
419C24×C7—41no—
420C24×C7—41no—
421C24×C7—41no—
422C24×C7—41no—
423C24×C7—41no—
424C24×C7—41no—
425C24×C7—41no—
426C24×C7—41no—
427C24×C7#4114yes—
428C24×C7C2411yescharacteristic
429C24×C7C2411yescharacteristic
430C24×C7C2411yescharacteristic
431C24×C7C2411yescharacteristic
432C24×C7C2411yescharacteristic
433C24×C7C2411yescharacteristic
434C24×C7C2411yescharacteristic
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—22no—
448C2×C7×D4—22no—
449C2×C7×D4—22no—
450C2×C7×D4—22no—
451C2×C7×D4—22no—
452C2×C7×D4—22no—
453C2×C7×D4—22no—
454C2×C7×D4—22no—
455C2×C7×D4—22no—
456C2×C7×D4—41no—
457C2×C7×D4—41no—
458C2×C7×D4—41no—
459C2×C7×D4—41no—
460C2×C7×D4—41no—
461C2×C7×D4—41no—
462C2×C7×D4—41no—
463C2×C7×D4—41no—
464C2×C7×D4—41no—
465C2×C7×D4—41no—
466C2×C7×D4—41no—
467C2×C7×D4—41no—
468C2×C7×D4—41no—
469C2×C7×D4—41no—
470C2×C7×D4—41no—
471C2×C7×D4—41no—
472C2×C7×D4—416no—
473C2×C7×D4—416no—
474C22×C4×C7—22no—
475C22×C4×C7—22no—
476C22×C4×C7—41no—
477C22×C4×C7—41no—
478C22×C4×C7—41no—
479C22×C4×C7—41no—
480C22×C4×C7C2411yescharacteristic
481C22×C4×C7C2411yescharacteristic
482C22×C4×C7C2411yescharacteristic
483C22×C4×C7C2411yescharacteristic
484C22×C4×C7C2411yescharacteristic
485C22×C4×C7C2411yescharacteristic
486C22×C4×C7C2411yescharacteristic
487C22×C4×C7C2411yescharacteristic
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—41no—
497C2×C22⋊D7—41no—
498C2×C22⋊D7—41no—
499C2×C22⋊D7—41no—
500C2×C22⋊D7—41no—
501C2×C22⋊D7—41no—
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—
509C22×Dic7—22no—
510C22×Dic7—22no—
511C22×Dic7—22no—
512C22×Dic7—22no—
513C22×Dic7—22no—
514C22×Dic7—22no—
515C22×Dic7—22no—
516C22×Dic7—22no—
517C22×Dic7—22no—
518C22×Dic7—41no—
519C22×Dic7—41no—
520C22×Dic7—41no—
521C22×Dic7—41no—
522C22×Dic7—41no—
523C22×Dic7—41no—
524C22×Dic7—41no—
525C22×Dic7—41no—
526C22×Dic7—41no—
527C22×Dic7—41no—
528C22×Dic7—41no—
529C22×Dic7—41no—
530C22×Dic7—41no—
531C22×Dic7—41no—
532C22×Dic7—41no—
533C22×Dic7—41no—
534C22×Dic7—41no—
535C22×Dic7—41no—
536C22×Dic7—41no—
537C22×Dic7—41no—
538C22×Dic7—41no—
539C22×Dic7—416no—
540C22×Dic7C2411yescharacteristic
541C22×Dic7C2411yescharacteristic
542C22×Dic7C2411yescharacteristic
543C22×Dic7C2411yescharacteristic
544C22×Dic7C2411yescharacteristic
545C22×Dic7C2411yescharacteristic
546C22×Dic7C2411yescharacteristic
547C22×Dic7C2411yescharacteristic
548C22×Dic7C2411yescharacteristic
549C22×Dic7C2411yescharacteristic
550C22×Dic7C2411yescharacteristic
551C22×Dic7C2411yescharacteristic
552C22×Dic7C2411yescharacteristic
553C22×Dic7C2411yescharacteristic
554C22×Dic7C2411yescharacteristic
555C2×C4×D7—41no—
556C2×C4×D7—41no—
557C2×C4×D7—41no—
558C2×Dic14—41no—
559C2×Dic14—41no—
560C2×Dic14—41no—
561C7×C22⋊C4—22no—
562C7×C22⋊C4—22no—
563C7×C22⋊C4—41no—
564C7×C22⋊C4—41no—
565C7×C22⋊C4—41no—
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—
575C22⋊Dic7—22no—
576C22⋊Dic7—22no—
577C22⋊Dic7—22no—
578C22⋊Dic7—22no—
579C22⋊Dic7—22no—
580C22⋊Dic7—22no—
581C22⋊Dic7—22no—
582C22⋊Dic7—22no—
583C22⋊Dic7—22no—
584C22⋊Dic7—22no—
585C22⋊Dic7—22no—
586C22⋊Dic7—22no—
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—
599C22⋊Dic7—41no—
600C22⋊Dic7—41no—
601C22⋊Dic7—41no—
602C22⋊Dic7—41no—
603C22⋊Dic7—41no—
604C22⋊Dic7—41no—
605C22⋊Dic7—41no—
606C22⋊Dic7—41no—
607C22⋊Dic7—41no—
608C22⋊Dic7—41no—
609C22⋊Dic7—41no—
610C22⋊Dic7—41no—
611C22⋊Dic7—41no—
612C22⋊Dic7—41no—
613C22⋊Dic7—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—
621C4⋊Dic7—41no—
622C4⋊Dic7—41no—
623C4⋊Dic7—41no—
624Dic7⋊C4—22no—
625Dic7⋊C4—22no—
626Dic7⋊C4—41no—
627Dic7⋊C4—41no—
628Dic7⋊C4—41no—
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×D4C2×D711yescharacteristic
641C23×D4C2×D711yescharacteristic
642C24×C4—71no—
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×#121—71no—
653C2×#121—71no—
654C2×#121—71no—
655C2×#120—71no—
656C2×#120—71no—
657C2×#120—71no—
658C2×#120C2×D711yescharacteristic
659C2×#120C2×D711yescharacteristic
660C2×#120C2×D711yescharacteristic
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#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#392C2×D711yescharacteristic
712#392C2×D711yescharacteristic
713#392C2×D711yescharacteristic
714#392C2×D711yescharacteristic
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#386—71no—
763#386—71no—
764#386C2×D711yescharacteristic
765#386C2×D711yescharacteristic
766#386C2×D711yescharacteristic
767#386C2×D711yescharacteristic
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#379—71no—
791#379C2×D711yescharacteristic
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—28no—
825C23×C7—21no—
826C23×C7—21no—
827C23×C7—21no—
828C23×C7—21no—
829C23×C7—21no—
830C23×C7—21no—
831C23×C7—21no—
832C23×C7—21no—
833C23×C7—21no—
834C23×C7—21no—
835C23×C7—21no—
836C23×C7—21no—
837C23×C7—21no—
838C23×C7—21no—
839C23×C7—44no—
840C23×C7—44no—
841C23×C7—44no—
842C23×C7—44no—
843C23×C7—44no—
844C23×C7—44no—
845C23×C7—44no—
846C23×C7—44no—
847C23×C7—44no—
848C23×C7—82no—
849C23×C7—82no—
850C23×C7—82no—
851C23×C7—82no—
852C23×C7—82no—
853C23×C7—82no—
854C23×C7—82no—
855C23×C7—82no—
856C23×C7—82no—
857C23×C7—82no—
858C23×C7C2×#4112yes—
859C23×C7C2×#4112yes—
860C23×C7C2×#4112yes—
861C23×C7H(5,𝔽2)12yes—
862C23×C7H(5,𝔽2)12yes—
863C23×C7H(5,𝔽2)12yes—
864C23×C7H(5,𝔽2)12yes—
865C23×C7C2511yescharacteristic
866C22×D7—21no—
867C22×D7—21no—
868C22×D7—21no—
869C22×D7—21no—
870C22×D7—21no—
871C22×D7—21no—
872C22×D7—21no—
873C7×D4—44no—
874C7×D4—44no—
875C7×D4—44no—
876C7×D4—44no—
877C7×D4—44no—
878C7×D4—44no—
879C7×D4—44no—
880C7×D4—44no—
881C7×D4—82no—
882C7×D4—82no—
883C7×D4—82no—
884C7×D4—82no—
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—
911C22⋊D7—44no—
912C22⋊D7—82no—
913C22⋊D7—82no—
914C22⋊D7—82no—
915C22⋊D7—82no—
916C22⋊D7—82no—
917C22⋊D7—82no—
918C2×Dic7—21no—
919C2×Dic7—21no—
920C2×Dic7—21no—
921C2×Dic7—21no—
922C2×Dic7—21no—
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—21no—
959C2×Dic7—21no—
960C2×Dic7—21no—
961C2×Dic7—21no—
962C2×Dic7—44no—
963C2×Dic7—44no—
964C2×Dic7—44no—
965C2×Dic7—44no—
966C2×Dic7—44no—
967C2×Dic7—44no—
968C2×Dic7—82no—
969C2×Dic7—82no—
970C2×Dic7—82no—
971C2×Dic7—82no—
972C2×Dic7H(5,𝔽2)12yes—
973C4×D7—82no—
974Dic14—82no—
975C25C22×D711yescharacteristic
976C25C22×D711yescharacteristic
977C25C22×D711yescharacteristic
978C22×Q8—71no—
979C22×D4—24no—
980C22×D4—24no—
981C22×D4—42no—
982C22×D4—42no—
983C22×D4—42no—
984C22×D4—42no—
985C22×D4—71no—
986C22×D4—71no—
987C22×D4—71no—
988C22×D4—71no—
989C22×D4—71no—
990C22×D4—71no—
991C22×D4—71no—
992C22×D4C22×D711yescharacteristic
993C22×D4C22×D711yescharacteristic
994C22×D4C22×D711yescharacteristic
995C22×D4C22×D711yescharacteristic
996C22×D4C22×D711yescharacteristic
997C22×D4C22×D711yescharacteristic
998C22×D4C22×D711yescharacteristic
999C22×D4C22×D711yescharacteristic
1000C22×D4C22×D711yescharacteristic
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—282no—
1016C23×C4—282no—
1017C23×C4—282no—
1018C23×C4C22×D711yescharacteristic
1019C23×C4C22×D711yescharacteristic
1020#124—282no—
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—42no—
1034#120—42no—
1035#120—42no—
1036#120—144no—
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⋊C4—71no—
1055C2×C4⋊C4—71no—
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—282no—
1103C2×C22⋊C4—282no—
1104C2×C22⋊C4—282no—
1105C2×C22⋊C4—282no—
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×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#95—71no—
1158#95—71no—
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—22no—
1176C22×C7—22no—
1177C22×C7—22no—
1178C22×C7—22no—
1179C22×C7—22no—
1180C22×C7—22no—
1181C22×C7—416no—
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—41no—
1199C22×C7—41no—
1200C22×C7—41no—
1201C22×C7—41no—
1202C22×C7—41no—
1203C22×C7—41no—
1204C22×C7—41no—
1205C22×C7—41no—
1206C22×C7—41no—
1207C22×C7—41no—
1208C22×C7—41no—
1209C22×C7—41no—
1210C22×C7—41no—
1211C22×C7—41no—
1212C22×C7—88no—
1213C22×C7—88no—
1214C22×C7#53814yes—
1215C22×C7C22×#4111yescharacteristic
1216C22×C7C2×H(5,𝔽2)11yescharacteristic
1217C22×C7C2×H(5,𝔽2)11yescharacteristic
1218C22×C7C2×H(5,𝔽2)11yescharacteristic
1219C22×C7C2×H(5,𝔽2)11yescharacteristic
1220C22×C7C2×H(5,𝔽2)11yescharacteristic
1221C22×C7#58511yescharacteristic
1222C2×D7—41no—
1223C2×D7—41no—
1224C2×D7—41no—
1225C2×D7—41no—
1226C2×D7—41no—
1227C2×D7—41no—
1228C2×D7—41no—
1229C4×C7—41no—
1230C4×C7—41no—
1231C4×C7—41no—
1232C4×C7—41no—
1233C4×C7—41no—
1234C4×C7—41no—
1235C4×C7—41no—
1236C4×C7—41no—
1237Dic7—22no—
1238Dic7—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—22no—
1258C24—22no—
1259C24—22no—
1260C24—41no—
1261C24—41no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—71no—
1273C24#115914yes—
1274C24C23×D711yescharacteristic
1275C24C23×D711yescharacteristic
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—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—416no—
1321C2×D4—416no—
1322C2×D4—142no—
1323C2×D4—142no—
1324C2×D4—142no—
1325C2×D4—142no—
1326C2×D4—142no—
1327C2×D4—142no—
1328C2×D4—142no—
1329C2×D4—142no—
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—281no—
1342C2×D4—281no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
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—71no—
1359C22×C4—71no—
1360C22×C4—71no—
1361C22×C4—71no—
1362C22×C4—71no—
1363C22×C4—71no—
1364C22×C4—142no—
1365C22×C4—142no—
1366C22×C4—142no—
1367C22×C4—142no—
1368C22×C4—142no—
1369C22×C4—142no—
1370C22×C4—142no—
1371C22×C4—142no—
1372C22×C4—142no—
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—281no—
1391C22×C4—281no—
1392C22×C4—281no—
1393C22×C4—281no—
1394C22×C4—281no—
1395C22×C4—281no—
1396C22×C4—281no—
1397C22×C4—2816no—
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—142no—
1407C4⋊C4—142no—
1408C4⋊C4—281no—
1409C4⋊C4—281no—
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—41no—
1435C22⋊C4—41no—
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—142no—
1447C22⋊C4—142no—
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—42no—
1489C2×C7—42no—
1490C2×C7—81no—
1491C2×C7—81no—
1492C2×C7C2×#53811yescharacteristic
1493C2×C7#349011yescharacteristic
1494C2×C7#350511yescharacteristic
1495C2×C7#353211yescharacteristic
1496C2×C7#353411yescharacteristic
1497C2×C7#353411yescharacteristic
1498C2×C7#353711yescharacteristic
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—28no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—44no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—82no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23—82no—
1558C23—82no—
1559C23—82no—
1560C23—82no—
1561C23—82no—
1562C23—82no—
1563C23—141no—
1564C23—141no—
1565C23—141no—
1566C23—141no—
1567C23—141no—
1568C23—141no—
1569C23—141no—
1570C23C2×#115912yes—
1571C23C2×#115912yes—
1572C23C2×#115912yes—
1573C23#654812yes—
1574C23#654812yes—
1575C23#654812yes—
1576C23#654812yes—
1577C23C24×D711yescharacteristic
1578Q8—562no—
1579D4—44no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—82no—
1588D4—82no—
1589D4—82no—
1590D4—82no—
1591D4—284no—
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—44no—
1623C2×C4—44no—
1624C2×C4—72no—
1625C2×C4—141no—
1626C2×C4—141no—
1627C2×C4—141no—
1628C2×C4—141no—
1629C2×C4—141no—
1630C2×C4—141no—
1631C2×C4—141no—
1632C2×C4—141no—
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—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—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
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—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—88no—
1731C22—88no—
1732C22—281no—
1733C22—281no—
1734C22—281no—
1735C22—281no—
1736C22—281no—
1737C22—281no—
1738C22—281no—
1739C22#9028414yes—
1740C22C22×#115911yescharacteristic
1741C22C2×#654811yescharacteristic
1742C22C2×#654811yescharacteristic
1743C22C2×#654811yescharacteristic
1744C22C2×#654811yescharacteristic
1745C22D7×H(5,𝔽2)11yescharacteristic
1746C22#9061811yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—142no—
1756C4—281no—
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—42no—
1774C2—42no—
1775C2—81no—
1776C2—81no—
1777C2—561no—
1778C2C2×#9028411yescharacteristic
1779C2#1174298111yescharacteristic
1780C2#1174336711yescharacteristic
1781C2#1174368111yescharacteristic
1782C2#1174368111yescharacteristic
1783C2#1174368211yescharacteristic
1784C2#1174369011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2403C2
hypercenter#2403D7
hypocenterC7#36776
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2403

Complements

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

NH ≅ G/Ntype
1. C7×#2403C2semidirect
2. #11741493C2semidirect
3. #11741493C2semidirect
4. #11741488C2semidirect
5. C2×#89992C2semidirect
6. #11740053C2semidirect
7. #11740047C2semidirect
8. #11740046C2semidirect
9. #11740045C2semidirect
10. #11740043C2semidirect
11. #11740041C2semidirect
12. #11740034C2semidirect
13. #11740031C2semidirect
14. #11734218C2semidirect
15. #11734183C2semidirect
16. #11734183C2semidirect
17. #11734178C2semidirect
18. #11734167C2semidirect
19. #11734164C2semidirect
20. #11734162C2semidirect
21. #11734159C2semidirect
22. #11732296C2semidirect
23. #11732287C2semidirect
24. #11732285C2semidirect
25. #11732280C2semidirect
26. #11732231C2semidirect
27. #11732230C2semidirect
28. #11732190C2semidirect
29. #11732152C2semidirect
30. #11731273C2semidirect
31. #11731266C2semidirect
34. C24×Dic7C22semidirect
40. C2×#6516C22semidirect
41. C2×#6516C22semidirect
45. C22×C22⋊Dic7C22semidirect
48. C2×#6502C22semidirect
49. C2×#6502C22semidirect
50. C2×#6502C22semidirect
51. C2×#6502C22semidirect
52. C2×#6501C22semidirect
53. C2×#6499C22semidirect
54. C2×#6498C22semidirect
55. C2×#6498C22semidirect
56. C2×(C22⋊D7)⋊C4C22semidirect
57. C2×#6441C22semidirect
58. C2×#6441C22semidirect
68. #90019C22semidirect
69. #90019C22semidirect
70. #90019C22semidirect
71. #90019C22semidirect
74. #89995C22semidirect
75. #89995C22semidirect
76. #89995C22semidirect
79. #89994C22semidirect
80. #89994C22semidirect
81. #89994C22semidirect
82. #89994C22semidirect
83. #89994C22semidirect
84. #89993C22semidirect
85. #89993C22semidirect
96. #89992C22semidirect
97. #89992C22semidirect
98. #89992C22semidirect
99. #89992C22semidirect
100. #89992C22semidirect
101. #89992C22semidirect
102. #89992C22semidirect
103. #89992C22semidirect
104. #89992C22semidirect
105. #89992C22semidirect
106. #89992C22semidirect
107. #89992C22semidirect
108. #89992C22semidirect
109. #89992C22semidirect
110. #89985C22semidirect
111. #89985C22semidirect
112. #89983C22semidirect
113. #89983C22semidirect
114. #89982C22semidirect
115. #89982C22semidirect
116. C2×C7⋊#95C22semidirect
117. C2×C7⋊#95C22semidirect
118. #89733C22semidirect
119. #89733C22semidirect
120. #89731C22semidirect
121. #89731C22semidirect
122. #89730C22semidirect
123. #89730C22semidirect
124. #89730C22semidirect
125. #89729C22semidirect
126. #89729C22semidirect
127. #89728C22semidirect
128. #89728C22semidirect
129. #89728C22semidirect
130. #89728C22semidirect
131. #89725C22semidirect
132. #89725C22semidirect
133. #89724C22semidirect
134. #89724C22semidirect
135. #89724C22semidirect
136. #89724C22semidirect
137. #89724C22semidirect
138. #89724C22semidirect
139. #89722C22semidirect
140. #89722C22semidirect
141. #89721C22semidirect
142. #89720C22semidirect
143. #89720C22semidirect
144. #89720C22semidirect
145. #89720C22semidirect
146. #89719C22semidirect
147. #89719C22semidirect
148. #89719C22semidirect
149. #89718C22semidirect
150. #89718C22semidirect
151. #89718C22semidirect
152. #89718C22semidirect
153. #89718C22semidirect
154. #89717C22semidirect
155. #89717C22semidirect
156. #89717C22semidirect
157. #89717C22semidirect
158. #89717C22semidirect
159. #89717C22semidirect
160. #89716C22semidirect
161. #89716C22semidirect
162. #89716C22semidirect
163. #89716C22semidirect
164. #89715C22semidirect
165. #89715C22semidirect
166. #89714C22semidirect
167. #89714C22semidirect
168. #89714C22semidirect
169. #89714C22semidirect
170. C22⋊C4×Dic7C22semidirect
171. #89447C22semidirect
172. #89447C22semidirect
173. #89445C22semidirect
174. #89436C22semidirect
175. C7⋊#401C22semidirect
176. C7⋊#401C22semidirect
177. #89432C22semidirect
178. #89432C22semidirect
179. #89431C22semidirect
180. #89430C22semidirect
181. #89430C22semidirect
182. #89430C22semidirect
183. #89430C22semidirect
184. #89424C22semidirect
185. #89424C22semidirect
186. #89423C22semidirect
403. #2403D7semidirect
1680. C7#36776semidirect

Maximal subgroups

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

subgroupindex
C7×#24032
#117414932
#117414882
C2×#899922
#117400532
#117400472
#117400462
#117400452
#117400432
#117400412
#117400342
#117400312
#117342182
#117341832
#117341782
#117341672
#117341642
#117341622
#117341592
#117322962
#117322872
#117322852
#117322802
#117322312
#117322302
#117321902
#117321522
#117312732
#117312662
#367767