Finite Group Databasebeta

← #13562131

Subgroups — #13562131

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
1C2×C7×#386C211yesmaximal, characteristic, complemented
2#11741497C211yesmaximal, characteristic, complemented
3#11741493C211yesmaximal, characteristic, complemented
4#11741478C211yesmaximal, characteristic, complemented
5#11741477C211yesmaximal, characteristic, complemented
6#11739572C211yesmaximal, characteristic, complemented
7#11739566C211yesmaximal, characteristic, complemented
8#11739556C211yesmaximal, characteristic, complemented
9#11739555C211yesmaximal, characteristic, complemented
10#11739554C211yesmaximal, characteristic, complemented
11#11739541C211yesmaximal, characteristic, complemented
12#11732369C211yesmaximal, characteristic, complemented
13#11732367C211yesmaximal, characteristic, complemented
14#11732364C211yesmaximal, characteristic, complemented
15#11732362C211yesmaximal, characteristic, complemented
16#11732356C211yesmaximal, characteristic, complemented
17#11732299C211yesmaximal, characteristic, complemented
18#11732298C211yesmaximal, characteristic, complemented
19#11732296C211yesmaximal, characteristic, complemented
20#11732288C211yesmaximal, characteristic, complemented
21#11732286C211yesmaximal, characteristic, complemented
22#11732285C211yesmaximal, characteristic, complemented
23#11732279C211yesmaximal, characteristic, complemented
24#11732259C211yesmaximal, characteristic, complemented
25#11732252C211yesmaximal, characteristic, complemented
26#11732243C211yesmaximal, characteristic, complemented
27#11732238C211yesmaximal, characteristic, complemented
28#11730825C211yesmaximal, characteristic, complemented
29#11730824C211yesmaximal, characteristic, complemented
30#11730822C211yesmaximal, characteristic, complemented
31#11730801C211yesmaximal, characteristic, complemented
32C23×C7×D4C2211yescharacteristic
33C24×C4×C7C2211yescharacteristic, complemented
34C23×C22⋊D7C2211yescharacteristic
35C22×C7×C22⋊C4C2211yescharacteristic
36C22×C7×C22⋊C4C2211yescharacteristic
37C22×C7×C22⋊C4C2211yescharacteristic, complemented
38C2×#6516C2211yescharacteristic
39C2×#6516C2211yescharacteristic
40C2×#6516C2211yescharacteristic
41C2×#6516C2211yescharacteristic, complemented
42C22×C22⋊Dic7C2211yescharacteristic
43C2×#6502C2211yescharacteristic, complemented
44C2×#6502C2211yescharacteristic, complemented
45C2×#6500C2211yescharacteristic
46C2×#6500C2211yescharacteristic
47C2×#6493C2211yescharacteristic
48C2×#6493C2211yescharacteristic
49C2×#6493C2211yescharacteristic, complemented
50C2×#6493C2211yescharacteristic, complemented
51C2×#6492C2211yescharacteristic, complemented
52C2×#6492C2211yescharacteristic, complemented
53C2×C4×C22⋊D7C2211yescharacteristic, complemented
54C2×#6487C2211yescharacteristic, complemented
55C2×#6448C2211yescharacteristic, complemented
56C2×#6447C2211yescharacteristic, complemented
57C2×#6445C2211yescharacteristic, complemented
58C2×#6441C2211yescharacteristic, complemented
59C7×#386C2211yescharacteristic
60C7×#386C2211yescharacteristic
61C7×#386C2211yescharacteristic
62C7×#386C2211yescharacteristic
63C7×#386C2211yescharacteristic, complemented
64C7×#386C2211yescharacteristic, complemented
65C7×#386C2211yescharacteristic, complemented
66C7×#386C2211yescharacteristic, complemented
67C2×C7×#95C2211yescharacteristic, complemented
68C2×C7×#95C2211yescharacteristic, complemented
69#90019C2211yescharacteristic
70#90019C2211yescharacteristic, complemented
71#89995C2211yescharacteristic
72#89995C2211yescharacteristic
73#89995C2211yescharacteristic
74#89995C2211yescharacteristic
75#89995C2211yescharacteristic
76#89995C2211yescharacteristic
77#89994C2211yescharacteristic
78#89994C2211yescharacteristic
79#89992C2211yescharacteristic
80#89992C2211yescharacteristic
81#89992C2211yescharacteristic, complemented
82#89992C2211yescharacteristic, complemented
83#89985C2211yescharacteristic
84#89985C2211yescharacteristic
85#89985C2211yescharacteristic
86#89985C2211yescharacteristic
87#89985C2211yescharacteristic
88#89985C2211yescharacteristic
89#89985C2211yescharacteristic
90#89985C2211yescharacteristic
91#89985C2211yescharacteristic, complemented
92#89985C2211yescharacteristic, complemented
93#89985C2211yescharacteristic, complemented
94#89985C2211yescharacteristic, complemented
95#89985C2211yescharacteristic, complemented
96#89985C2211yescharacteristic, complemented
97#89985C2211yescharacteristic, complemented
98#89985C2211yescharacteristic, complemented
99#89984C2211yescharacteristic, complemented
100#89984C2211yescharacteristic, complemented
101#89984C2211yescharacteristic, complemented
102#89983C2211yescharacteristic, complemented
103#89983C2211yescharacteristic, complemented
104#89982C2211yescharacteristic, complemented
105#89982C2211yescharacteristic, complemented
106#89982C2211yescharacteristic, complemented
107#89982C2211yescharacteristic, complemented
108#89982C2211yescharacteristic, complemented
109#89982C2211yescharacteristic, complemented
110C4×C22⋊Dic7C2211yescharacteristic, complemented
111#89733C2211yescharacteristic, complemented
112#89733C2211yescharacteristic, complemented
113#89733C2211yescharacteristic, complemented
114#89732C2211yescharacteristic, complemented
115#89732C2211yescharacteristic, complemented
116#89732C2211yescharacteristic, complemented
117#89731C2211yescharacteristic, complemented
118#89731C2211yescharacteristic, complemented
119#89731C2211yescharacteristic, complemented
120#89730C2211yescharacteristic, complemented
121#89730C2211yescharacteristic, complemented
122#89730C2211yescharacteristic, complemented
123#89730C2211yescharacteristic, complemented
124#89730C2211yescharacteristic, complemented
125#89729C2211yescharacteristic, complemented
126#89729C2211yescharacteristic, complemented
127#89729C2211yescharacteristic, complemented
128#89729C2211yescharacteristic, complemented
129#89728C2211yescharacteristic, complemented
130#89728C2211yescharacteristic, complemented
131#89728C2211yescharacteristic, complemented
132#89727C2211yescharacteristic, complemented
133#89727C2211yescharacteristic, complemented
134#89727C2211yescharacteristic, complemented
135#89724C2211yescharacteristic, complemented
136#89723C2211yescharacteristic, complemented
137#89723C2211yescharacteristic, complemented
138#89722C2211yescharacteristic, complemented
139#89722C2211yescharacteristic, complemented
140#89721C2211yescharacteristic, complemented
141#89720C2211yescharacteristic, complemented
142#89720C2211yescharacteristic, complemented
143#89720C2211yescharacteristic, complemented
144#89719C2211yescharacteristic, complemented
145#89719C2211yescharacteristic, complemented
146#89718C2211yescharacteristic, complemented
147#89717C2211yescharacteristic, complemented
148#89717C2211yescharacteristic, complemented
149#89716C2211yescharacteristic, complemented
150#89716C2211yescharacteristic, complemented
151#89716C2211yescharacteristic, complemented
152#89715C2211yescharacteristic, complemented
153#89715C2211yescharacteristic, complemented
154#89714C2211yescharacteristic, complemented
155#89448C2211yescharacteristic, complemented
156#89447C2211yescharacteristic, complemented
157#89447C2211yescharacteristic, complemented
158#89447C2211yescharacteristic, complemented
159#89447C2211yescharacteristic, complemented
160#89447C2211yescharacteristic, complemented
161#89447C2211yescharacteristic, complemented
162#89446C2211yescharacteristic, complemented
163#89446C2211yescharacteristic, complemented
164#89446C2211yescharacteristic, complemented
165#89445C2211yescharacteristic, complemented
166#89445C2211yescharacteristic, complemented
167#89444C2211yescharacteristic, complemented
168#89444C2211yescharacteristic, complemented
169#89444C2211yescharacteristic, complemented
170#89442C2211yescharacteristic, complemented
171#89441C2211yescharacteristic, complemented
172#89441C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89436C2211yescharacteristic, complemented
175C7⋊#401C2211yescharacteristic, complemented
176C7⋊#401C2211yescharacteristic, complemented
177#89432C2211yescharacteristic, complemented
178#89432C2211yescharacteristic, complemented
179#89431C2211yescharacteristic, complemented
180#89431C2211yescharacteristic, complemented
181#89430C2211yescharacteristic, complemented
182#89430C2211yescharacteristic, complemented
183#89430C2211yescharacteristic, complemented
184#89427C2211yescharacteristic, complemented
185#89426C2211yescharacteristic, complemented
186#89423C2211yescharacteristic, complemented
187#36776—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C25×C7C2311yescharacteristic
190C24×D7C2311yescharacteristic
191C22×C7×D4—24no—
192C22×C7×D4—42no—
193C22×C7×D4—42no—
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
207C23×C4×C7C2311yescharacteristic
208C23×C4×C7C2311yescharacteristic
209C23×C4×C7C2311yescharacteristic
210C22×C22⋊D7—24no—
211C22×C22⋊D7—42no—
212C22×C22⋊D7—42no—
213C22×C22⋊D7C2311yescharacteristic
214C22×C22⋊D7C2311yescharacteristic
215C22×C22⋊D7C2311yescharacteristic
216C22×C22⋊D7C2311yescharacteristic
217C22×C22⋊D7C2311yescharacteristic
218C22×C22⋊D7C2311yescharacteristic
219C22×C22⋊D7C2311yescharacteristic
220C22×C22⋊D7C2311yescharacteristic
221C22×C22⋊D7C2311yescharacteristic
222C22×C22⋊D7C2311yescharacteristic
223C22×C22⋊D7C2311yescharacteristic
224C22×C22⋊D7C2311yescharacteristic
225C22×C22⋊D7C2311yescharacteristic
226C23×Dic7C2311yescharacteristic
227C23×Dic7C2311yescharacteristic
228C23×Dic7C2311yescharacteristic
229C22×D28C2311yescharacteristic
230C22×D28C2311yescharacteristic
231C22×C4×D7C2311yescharacteristic
232C22×Dic14C2311yescharacteristic
233C2×C7×C22⋊C4—42no—
234C2×C7×C22⋊C4—42no—
235C2×C7×C22⋊C4—42no—
236C2×C7×C22⋊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
248#6516—24no—
249#6516—42no—
250#6516—42no—
251#6516—42no—
252C2×C22⋊Dic7—42no—
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
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
276#6502—42no—
277#6502—42no—
278#6500—42no—
279#6500—42no—
280#6493—42no—
281#6493—42no—
282#6493—42no—
283#6493—42no—
284#6492—42no—
285#6492—42no—
286C4×C22⋊D7—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
307C2×(C2×D7)⋊C4C2311yescharacteristic
308C2×(C2×D7)⋊C4C2311yescharacteristic
309C2×(C2×D7)⋊C4C2311yescharacteristic
310C2×(C2×D7)⋊C4C2311yescharacteristic
311C2×(C2×D7)⋊C4C2311yescharacteristic
312C2×C4⋊Dic7C2311yescharacteristic
313C2×C4⋊Dic7C2311yescharacteristic
314C2×C4⋊Dic7C2311yescharacteristic
315C2×C4⋊Dic7C2311yescharacteristic
316C2×C4⋊Dic7C2311yescharacteristic
317#6487—42no—
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×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332#6448—42no—
333#6447—42no—
334#6445—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#2403—71no—
404#2321—71no—
405#2308—71no—
406C2×#386D711yescharacteristic, complemented
407C24×C7—22no—
408C24×C7—22no—
409C24×C7—22no—
410C24×C7—22no—
411C24×C7—22no—
412C24×C7—22no—
413C24×C7—22no—
414C24×C7—41no—
415C24×C7—41no—
416C24×C7—41no—
417C24×C7—41no—
418C24×C7—41no—
419C24×C7—41no—
420C24×C7#4114yes—
421C24×C7C2411yescharacteristic
422C24×C7C2411yescharacteristic
423C24×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C23×D7—22no—
427C23×D7—41no—
428C23×D7—41no—
429C23×D7—41no—
430C23×D7—41no—
431C23×D7—41no—
432C23×D7—41no—
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—41no—
445C2×C7×D4—41no—
446C2×C7×D4—41no—
447C2×C7×D4—41no—
448C2×C7×D4—416no—
449C22×C4×C7—22no—
450C22×C4×C7—22no—
451C22×C4×C7—22no—
452C22×C4×C7—22no—
453C22×C4×C7—22no—
454C22×C4×C7—22no—
455C22×C4×C7—22no—
456C22×C4×C7—22no—
457C22×C4×C7—22no—
458C22×C4×C7—22no—
459C22×C4×C7—41no—
460C22×C4×C7—41no—
461C22×C4×C7—41no—
462C22×C4×C7—41no—
463C22×C4×C7—41no—
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—41no—
476C22×C4×C7—416no—
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
486C22×C4×C7C2411yescharacteristic
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—22no—
503C2×C22⋊D7—22no—
504C2×C22⋊D7—22no—
505C2×C22⋊D7—22no—
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—41no—
520C2×C22⋊D7—41no—
521C2×C22⋊D7—41no—
522C2×C22⋊D7—41no—
523C2×C22⋊D7—41no—
524C2×C22⋊D7—41no—
525C2×C22⋊D7—41no—
526C2×C22⋊D7—416no—
527C22×Dic7—22no—
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×Dic7C2411yescharacteristic
537C22×Dic7C2411yescharacteristic
538C22×Dic7C2411yescharacteristic
539C22×Dic7C2411yescharacteristic
540C22×Dic7C2411yescharacteristic
541C22×Dic7C2411yescharacteristic
542C22×Dic7C2411yescharacteristic
543C22×Dic7C2411yescharacteristic
544C22×Dic7C2411yescharacteristic
545C22×Dic7C2411yescharacteristic
546C22×Dic7C2411yescharacteristic
547C22×Dic7C2411yescharacteristic
548C22×Dic7C2411yescharacteristic
549C2×D28—22no—
550C2×D28—41no—
551C2×D28—41no—
552C2×D28—41no—
553C2×D28—41no—
554C2×D28—41no—
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—22no—
564C7×C22⋊C4—22no—
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—
573C22⋊Dic7—22no—
574C22⋊Dic7—22no—
575C22⋊Dic7—22no—
576C22⋊Dic7—22no—
577C22⋊Dic7—22no—
578C22⋊Dic7—22no—
579C22⋊Dic7—22no—
580C22⋊Dic7—22no—
581C22⋊Dic7—22no—
582C22⋊Dic7—41no—
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—
596(C2×D7)⋊C4—22no—
597(C2×D7)⋊C4—41no—
598(C2×D7)⋊C4—41no—
599(C2×D7)⋊C4—41no—
600(C2×D7)⋊C4—41no—
601(C2×D7)⋊C4—41no—
602(C2×D7)⋊C4—41no—
603(C2×D7)⋊C4—41no—
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—
621C4⋊Dic7—22no—
622C4⋊Dic7—41no—
623C4⋊Dic7—41no—
624C4⋊Dic7—41no—
625C4⋊Dic7—41no—
626Dic7⋊C4—22no—
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×D4—71no—
641C23×D4C2×D711yescharacteristic
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×#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×#120—71no—
662C2×C4×D4—71no—
663C22×C22⋊C4—71no—
664C22×C22⋊C4C2×D711yescharacteristic
665C22×C22⋊C4C2×D711yescharacteristic
666C22×C22⋊C4C2×D711yescharacteristic, complemented
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#386C2×D711yescharacteristic
761#386C2×D711yescharacteristic
762#386C2×D711yescharacteristic
763#386C2×D711yescharacteristic
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#380—71no—
785#380—71no—
786#380—71no—
787#379—71no—
788#379—71no—
789#379—71no—
790#379—71no—
791#379—71no—
792C4×C22⋊C4—71no—
793C2×#95C2×D711yescharacteristic, complemented
794C2×#95C2×D711yescharacteristic, complemented
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—44no—
826C23×C7—44no—
827C23×C7—44no—
828C23×C7—44no—
829C23×C7—44no—
830C23×C7—44no—
831C23×C7—44no—
832C23×C7—44no—
833C23×C7—82no—
834C23×C7—82no—
835C23×C7—82no—
836C23×C7—82no—
837C23×C7C2×#4112yes—
838C23×C7C2×#4112yes—
839C23×C7C2×#4112yes—
840C23×C7H(5,𝔽2)12yes—
841C23×C7H(5,𝔽2)12yes—
842C23×C7H(5,𝔽2)12yes—
843C23×C7H(5,𝔽2)12yes—
844C23×C7C2511yescharacteristic
845C22×D7—21no—
846C22×D7—21no—
847C22×D7—21no—
848C22×D7—21no—
849C22×D7—21no—
850C22×D7—21no—
851C22×D7—21no—
852C22×D7—21no—
853C22×D7—21no—
854C22×D7—21no—
855C22×D7—21no—
856C22×D7—21no—
857C22×D7—21no—
858C22×D7—21no—
859C22×D7—21no—
860C22×D7—21no—
861C22×D7—21no—
862C22×D7—21no—
863C22×D7—21no—
864C22×D7—21no—
865C22×D7—21no—
866C22×D7—44no—
867C22×D7—82no—
868C22×D7—82no—
869C22×D7—82no—
870C22×D7—82no—
871C22×D7—82no—
872C22×D7—82no—
873C7×D4—44no—
874C7×D4—44no—
875C7×D4—44no—
876C7×D4—44no—
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—44no—
907C2×C4×C7—44no—
908C2×C4×C7—44no—
909C2×C4×C7—44no—
910C2×C4×C7—44no—
911C2×C4×C7—44no—
912C2×C4×C7—44no—
913C2×C4×C7—82no—
914C2×C4×C7—82no—
915C2×C4×C7H(5,𝔽2)12yes—
916C22⋊D7—44no—
917C22⋊D7—44no—
918C22⋊D7—44no—
919C22⋊D7—44no—
920C22⋊D7—44no—
921C22⋊D7—82no—
922C22⋊D7—82no—
923C22⋊D7—82no—
924C22⋊D7—82no—
925C22⋊D7—82no—
926C22⋊D7—82no—
927C22⋊D7—82no—
928C22⋊D7—82no—
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—21no—
967C2×Dic7—21no—
968C2×Dic7—44no—
969C2×Dic7—82no—
970C2×Dic7—82no—
971D28—82no—
972D28—82no—
973C4×D7—82no—
974Dic14—82no—
975C25—71no—
976C25C22×D711yescharacteristic
977C25C22×D711yescharacteristic
978C22×Q8—71no—
979C22×D4—24no—
980C22×D4—42no—
981C22×D4—42no—
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—71no—
996C22×D4—71no—
997C22×D4—144no—
998C22×D4—282no—
999C22×D4—282no—
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×C4C22×D711yescharacteristic
1012C23×C4C22×D711yescharacteristic
1013C23×C4C22×D711yescharacteristic
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—282no—
1026#121—282no—
1027#121—282no—
1028#121—282no—
1029#121—282no—
1030#121—282no—
1031#121—282no—
1032#120—144no—
1033#120—282no—
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⋊C4—71no—
1055C2×C4⋊C4—71no—
1056C2×C22⋊C4—42no—
1057C2×C22⋊C4—42no—
1058C2×C22⋊C4—42no—
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—71no—
1105C2×C22⋊C4—71no—
1106C2×C22⋊C4—71no—
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#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—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—88no—
1199C22×C7#53814yes—
1200C22×C7C22×#4111yescharacteristic
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×C7C2×H(5,𝔽2)11yescharacteristic
1206C22×C7#58511yescharacteristic
1207C2×D7—41no—
1208C2×D7—41no—
1209C2×D7—41no—
1210C2×D7—41no—
1211C2×D7—41no—
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—41no—
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—22no—
1258C24—22no—
1259C24—41no—
1260C24—41no—
1261C24—41no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—71no—
1266C24—71no—
1267C24—71no—
1268C24—142no—
1269C24—281no—
1270C24—281no—
1271C24—281no—
1272C24—281no—
1273C24—281no—
1274C24—281no—
1275C24#115714yes—
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—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—416no—
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—281no—
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—22no—
1351C22×C4—22no—
1352C22×C4—22no—
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—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—416no—
1371C22×C4—71no—
1372C22×C4—71no—
1373C22×C4—71no—
1374C22×C4—71no—
1375C22×C4—71no—
1376C22×C4—71no—
1377C22×C4—71no—
1378C22×C4—71no—
1379C22×C4—71no—
1380C22×C4—71no—
1381C22×C4—71no—
1382C22×C4—71no—
1383C22×C4—71no—
1384C22×C4—142no—
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—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—22no—
1425C22⋊C4—22no—
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—281no—
1445C22⋊C4—281no—
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—42no—
1489C2×C7—42no—
1490C2×C7C2×#53811yescharacteristic
1491C2×C7#349011yescharacteristic
1492C2×C7#350511yescharacteristic
1493C2×C7#353211yescharacteristic
1494C2×C7#353411yescharacteristic
1495C2×C7#353411yescharacteristic
1496C2×C7#353711yescharacteristic
1497D7—81no—
1498D7—81no—
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—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—82no—
1539C23—82no—
1540C23—82no—
1541C23—82no—
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—562no—
1565C23—562no—
1566C23—562no—
1567C23—562no—
1568C23—562no—
1569C23—562no—
1570C23C2×#115712yes—
1571C23C2×#115712yes—
1572C23C2×#115712yes—
1573C23#654812yes—
1574C23#654812yes—
1575C23#654812yes—
1576C23#655312yes—
1577C23C24×D711yescharacteristic
1578Q8—562no—
1579D4—44no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—284no—
1584D4—284no—
1585D4—284no—
1586D4—284no—
1587D4—284no—
1588D4—562no—
1589D4—562no—
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—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—82no—
1635C2×C4—82no—
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—141no—
1673C2×C4—141no—
1674C2×C4—141no—
1675C2×C4—284no—
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—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—88no—
1717C22—281no—
1718C22—281no—
1719C22—281no—
1720C22—281no—
1721C22—281no—
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—281no—
1738C22—568no—
1739C22#9025114yes—
1740C22C22×#115711yescharacteristic
1741C22C2×#654811yescharacteristic
1742C22C2×#654811yescharacteristic
1743C22C2×#654811yescharacteristic
1744C22C2×#654811yescharacteristic
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—42no—
1774C2—42no—
1775C2—561no—
1776C2—561no—
1777C2—561no—
1778C2#1174276511yescharacteristic
1779C2C2×#9025111yescharacteristic
1780C2#1174285511yescharacteristic
1781C2#1174298911yescharacteristic
1782C2#1174300611yescharacteristic
1783C2#1174302211yescharacteristic
1784C2#1174308511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC2×C7×#386C2
hypercenterC2×#386D7
hypocenterC7#36776
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. C2×C7×#386C2semidirect
2. #11741497C2semidirect
3. #11741493C2semidirect
4. #11741478C2semidirect
5. #11741477C2semidirect
6. #11739572C2semidirect
7. #11739566C2semidirect
8. #11739556C2semidirect
9. #11739555C2semidirect
10. #11739554C2semidirect
11. #11739541C2semidirect
12. #11732369C2semidirect
13. #11732367C2semidirect
14. #11732364C2semidirect
15. #11732362C2semidirect
16. #11732356C2semidirect
17. #11732299C2semidirect
18. #11732298C2semidirect
19. #11732296C2semidirect
20. #11732288C2semidirect
21. #11732286C2semidirect
22. #11732285C2semidirect
23. #11732279C2semidirect
24. #11732259C2semidirect
25. #11732252C2semidirect
26. #11732243C2semidirect
27. #11732238C2semidirect
28. #11730825C2semidirect
29. #11730824C2semidirect
30. #11730822C2semidirect
31. #11730801C2semidirect
33. C24×C4×C7C22semidirect
37. C22×C7×C22⋊C4C22semidirect
41. C2×#6516C22semidirect
43. C2×#6502C22semidirect
44. C2×#6502C22semidirect
49. C2×#6493C22semidirect
50. C2×#6493C22semidirect
51. C2×#6492C22semidirect
52. C2×#6492C22semidirect
53. C2×C4×C22⋊D7C22semidirect
54. C2×#6487C22semidirect
55. C2×#6448C22semidirect
56. C2×#6447C22semidirect
57. C2×#6445C22semidirect
58. C2×#6441C22semidirect
63. C7×#386C22semidirect
64. C7×#386C22semidirect
65. C7×#386C22semidirect
66. C7×#386C22semidirect
67. C2×C7×#95C22semidirect
68. C2×C7×#95C22semidirect
70. #90019C22semidirect
81. #89992C22semidirect
82. #89992C22semidirect
91. #89985C22semidirect
92. #89985C22semidirect
93. #89985C22semidirect
94. #89985C22semidirect
95. #89985C22semidirect
96. #89985C22semidirect
97. #89985C22semidirect
98. #89985C22semidirect
99. #89984C22semidirect
100. #89984C22semidirect
101. #89984C22semidirect
102. #89983C22semidirect
103. #89983C22semidirect
104. #89982C22semidirect
105. #89982C22semidirect
106. #89982C22semidirect
107. #89982C22semidirect
108. #89982C22semidirect
109. #89982C22semidirect
110. C4×C22⋊Dic7C22semidirect
111. #89733C22semidirect
112. #89733C22semidirect
113. #89733C22semidirect
114. #89732C22semidirect
115. #89732C22semidirect
116. #89732C22semidirect
117. #89731C22semidirect
118. #89731C22semidirect
119. #89731C22semidirect
120. #89730C22semidirect
121. #89730C22semidirect
122. #89730C22semidirect
123. #89730C22semidirect
124. #89730C22semidirect
125. #89729C22semidirect
126. #89729C22semidirect
127. #89729C22semidirect
128. #89729C22semidirect
129. #89728C22semidirect
130. #89728C22semidirect
131. #89728C22semidirect
132. #89727C22semidirect
133. #89727C22semidirect
134. #89727C22semidirect
135. #89724C22semidirect
136. #89723C22semidirect
137. #89723C22semidirect
138. #89722C22semidirect
139. #89722C22semidirect
140. #89721C22semidirect
141. #89720C22semidirect
142. #89720C22semidirect
143. #89720C22semidirect
144. #89719C22semidirect
145. #89719C22semidirect
146. #89718C22semidirect
147. #89717C22semidirect
148. #89717C22semidirect
149. #89716C22semidirect
150. #89716C22semidirect
151. #89716C22semidirect
152. #89715C22semidirect
153. #89715C22semidirect
154. #89714C22semidirect
155. #89448C22semidirect
156. #89447C22semidirect
157. #89447C22semidirect
158. #89447C22semidirect
159. #89447C22semidirect
160. #89447C22semidirect
161. #89447C22semidirect
162. #89446C22semidirect
163. #89446C22semidirect
164. #89446C22semidirect
165. #89445C22semidirect
166. #89445C22semidirect
167. #89444C22semidirect
168. #89444C22semidirect
169. #89444C22semidirect
170. #89442C22semidirect
171. #89441C22semidirect
172. #89441C22semidirect
173. #89437C22semidirect
174. #89436C22semidirect
175. C7⋊#401C22semidirect
176. C7⋊#401C22semidirect
177. #89432C22semidirect
178. #89432C22semidirect
179. #89431C22semidirect
180. #89431C22semidirect
181. #89430C22semidirect
182. #89430C22semidirect
183. #89430C22semidirect
184. #89427C22semidirect
185. #89426C22semidirect
186. #89423C22semidirect
406. C2×#386D7semidirect
642. C24×C4C2×D7semidirect
666. C22×C22⋊C4C2×D7semidirect
764. #386C2×D7semidirect
765. #386C2×D7semidirect
766. #386C2×D7semidirect
767. #386C2×D7semidirect
793. C2×#95C2×D7semidirect
794. C2×#95C2×D7semidirect
1680. C7#36776semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#3862
#117414972
#117414932
#117414782
#117414772
#117395722
#117395662
#117395562
#117395552
#117395542
#117395412
#117323692
#117323672
#117323642
#117323622
#117323562
#117322992
#117322982
#117322962
#117322882
#117322862
#117322852
#117322792
#117322592
#117322522
#117322432
#117322382
#117308252
#117308242
#117308222
#117308012
#367767