Finite Group Databasebeta

← #13562658

Subgroups — #13562658

Order 1792.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#386C211yesmaximal, characteristic, complemented
2#11741498C211yesmaximal, characteristic
3#11741495C211yesmaximal, characteristic, complemented
4#11741478C211yesmaximal, characteristic, complemented
5#11741476C211yesmaximal, characteristic, complemented
6#11739576C211yesmaximal, characteristic, complemented
7#11739562C211yesmaximal, characteristic, complemented
8#11739557C211yesmaximal, characteristic, complemented
9#11739557C211yesmaximal, characteristic, complemented
10#11739556C211yesmaximal, characteristic, complemented
11#11739556C211yesmaximal, characteristic, complemented
12#11732370C211yesmaximal, characteristic, complemented
13#11732365C211yesmaximal, characteristic, complemented
14#11732359C211yesmaximal, characteristic, complemented
15#11732308C211yesmaximal, characteristic, complemented
16#11732297C211yesmaximal, characteristic, complemented
17#11732295C211yesmaximal, characteristic, complemented
18#11732289C211yesmaximal, characteristic, complemented
19#11732276C211yesmaximal, characteristic, complemented
20#11732273C211yesmaximal, characteristic, complemented
21#11732271C211yesmaximal, characteristic, complemented
22#11732269C211yesmaximal, characteristic, complemented
23#11732267C211yesmaximal, characteristic, complemented
24#11732266C211yesmaximal, characteristic, complemented
25#11732261C211yesmaximal, characteristic, complemented
26#11732256C211yesmaximal, characteristic, complemented
27#11732246C211yesmaximal, characteristic, complemented
28#11730812C211yesmaximal, characteristic, complemented
29#11730803C211yesmaximal, characteristic, complemented
30#11730802C211yesmaximal, characteristic, complemented
31#11730779C211yesmaximal, characteristic, complemented
32C23×C7×D4C2211yescharacteristic
33C24×C4×C7C2211yescharacteristic
34C22×C7×C22⋊C4C2211yescharacteristic
35C22×C7×C22⋊C4C2211yescharacteristic
36C22×C7×C22⋊C4C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C2×#6516C2211yescharacteristic
39C2×#6501C2211yescharacteristic
40C2×#6501C2211yescharacteristic
41C2×#6499C2211yescharacteristic
42C2×#6499C2211yescharacteristic
43C2×#6492C2211yescharacteristic, complemented
44C2×#6492C2211yescharacteristic, complemented
45C2×C4×C22⋊D7C2211yescharacteristic
46C2×#6487C2211yescharacteristic
47C2×#6487C2211yescharacteristic
48C2×#6487C2211yescharacteristic
49C2×#6487C2211yescharacteristic, complemented
50C2×#6487C2211yescharacteristic, complemented
51C2×#6448C2211yescharacteristic, complemented
52C2×#6448C2211yescharacteristic, complemented
53C2×#6442C2211yescharacteristic, complemented
54C2×#6442C2211yescharacteristic, complemented
55C7×#386C2211yescharacteristic
56C7×#386C2211yescharacteristic
57C7×#386C2211yescharacteristic
58C7×#386C2211yescharacteristic
59C7×#386C2211yescharacteristic
60C7×#386C2211yescharacteristic
61C7×#386C2211yescharacteristic
62C7×#386C2211yescharacteristic
63C2×C7×#95C2211yescharacteristic
64C2×C7×#95C2211yescharacteristic
65#90019C2211yescharacteristic
66#90019C2211yescharacteristic
67#90019C2211yescharacteristic
68#90019C2211yescharacteristic
69#90019C2211yescharacteristic
70#90019C2211yescharacteristic
71#89995C2211yescharacteristic
72#89995C2211yescharacteristic
73#89994C2211yescharacteristic
74#89994C2211yescharacteristic
75#89994C2211yescharacteristic
76#89994C2211yescharacteristic
77#89994C2211yescharacteristic
78#89994C2211yescharacteristic
79#89993C2211yescharacteristic
80#89993C2211yescharacteristic
81#89993C2211yescharacteristic
82#89993C2211yescharacteristic
83#89985C2211yescharacteristic
84#89985C2211yescharacteristic
85#89985C2211yescharacteristic
86#89985C2211yescharacteristic
87#89985C2211yescharacteristic, complemented
88#89985C2211yescharacteristic, complemented
89#89984C2211yescharacteristic
90#89984C2211yescharacteristic
91#89984C2211yescharacteristic
92#89984C2211yescharacteristic, complemented
93#89984C2211yescharacteristic, complemented
94#89983C2211yescharacteristic, complemented
95#89983C2211yescharacteristic, complemented
96#89982C2211yescharacteristic
97#89982C2211yescharacteristic
98#89982C2211yescharacteristic
99#89982C2211yescharacteristic
100#89982C2211yescharacteristic
101#89982C2211yescharacteristic
102#89982C2211yescharacteristic, complemented
103#89982C2211yescharacteristic, complemented
104#89982C2211yescharacteristic, complemented
105#89982C2211yescharacteristic, complemented
106#89982C2211yescharacteristic, complemented
107#89982C2211yescharacteristic, complemented
108C4×C22⋊Dic7C2211yescharacteristic
109C4×C22⋊Dic7C2211yescharacteristic
110C4×C22⋊Dic7C2211yescharacteristic
111#89733C2211yescharacteristic, complemented
112#89733C2211yescharacteristic, complemented
113#89731C2211yescharacteristic, complemented
114#89731C2211yescharacteristic, complemented
115#89731C2211yescharacteristic, complemented
116#89731C2211yescharacteristic, complemented
117#89731C2211yescharacteristic, complemented
118#89731C2211yescharacteristic, complemented
119#89729C2211yescharacteristic, complemented
120#89729C2211yescharacteristic, complemented
121#89725C2211yescharacteristic, complemented
122#89725C2211yescharacteristic, complemented
123#89724C2211yescharacteristic, complemented
124#89724C2211yescharacteristic, complemented
125#89724C2211yescharacteristic, complemented
126#89724C2211yescharacteristic, complemented
127#89724C2211yescharacteristic, complemented
128#89724C2211yescharacteristic, complemented
129#89724C2211yescharacteristic, complemented
130#89724C2211yescharacteristic, complemented
131#89724C2211yescharacteristic, complemented
132#89724C2211yescharacteristic, complemented
133#89723C2211yescharacteristic, complemented
134#89723C2211yescharacteristic, complemented
135#89723C2211yescharacteristic, complemented
136#89723C2211yescharacteristic, complemented
137#89721C2211yescharacteristic, complemented
138#89721C2211yescharacteristic, complemented
139#89720C2211yescharacteristic, complemented
140#89720C2211yescharacteristic, complemented
141#89720C2211yescharacteristic, complemented
142#89720C2211yescharacteristic, complemented
143#89720C2211yescharacteristic, complemented
144#89720C2211yescharacteristic, complemented
145#89719C2211yescharacteristic, complemented
146#89719C2211yescharacteristic, complemented
147#89719C2211yescharacteristic, complemented
148#89719C2211yescharacteristic, complemented
149#89717C2211yescharacteristic, complemented
150#89717C2211yescharacteristic, complemented
151#89716C2211yescharacteristic, complemented
152#89716C2211yescharacteristic, complemented
153#89716C2211yescharacteristic, complemented
154#89716C2211yescharacteristic, complemented
155#89449C2211yescharacteristic, complemented
156#89445C2211yescharacteristic, complemented
157#89441C2211yescharacteristic, complemented
158#89441C2211yescharacteristic, complemented
159#89440C2211yescharacteristic, complemented
160#89440C2211yescharacteristic, complemented
161#89439C2211yescharacteristic, complemented
162#89436C2211yescharacteristic, complemented
163#89431C2211yescharacteristic, complemented
164#89429C2211yescharacteristic, complemented
165#89429C2211yescharacteristic, complemented
166#89428C2211yescharacteristic, complemented
167#89428C2211yescharacteristic, complemented
168#89428C2211yescharacteristic, complemented
169#89427C2211yescharacteristic, complemented
170#89427C2211yescharacteristic, complemented
171#89426C2211yescharacteristic, complemented
172#89426C2211yescharacteristic, complemented
173#89425C2211yescharacteristic, complemented
174#89425C2211yescharacteristic, complemented
175#89424C2211yescharacteristic, complemented
176#89424C2211yescharacteristic, complemented
177#89423C2211yescharacteristic, complemented
178#89422C2211yescharacteristic, complemented
179#89419C2211yescharacteristic, complemented
180#89419C2211yescharacteristic, complemented
181#89419C2211yescharacteristic, complemented
182#89419C2211yescharacteristic, complemented
183#89418C2211yescharacteristic, complemented
184#89418C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36793—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C25×C7C2311yescharacteristic
190C22×C7×D4—24no—
191C22×C7×D4—42no—
192C22×C7×D4—42no—
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C23×C4×C7—42no—
198C23×C4×C7—42no—
199C23×C4×C7—42no—
200C23×C4×C7C2311yescharacteristic
201C23×C4×C7C2311yescharacteristic
202C23×C4×C7C2311yescharacteristic
203C23×C4×C7C2311yescharacteristic
204C23×C4×C7C2311yescharacteristic
205C23×C4×C7C2311yescharacteristic
206C23×C4×C7C2311yescharacteristic
207C23×C4×C7C2311yescharacteristic
208C23×C4×C7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C22×C22⋊D7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C22×C22⋊D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C22×Dic14C2311yescharacteristic
218C2×C7×C22⋊C4—42no—
219C2×C7×C22⋊C4—42no—
220C2×C7×C22⋊C4—42no—
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233#6516—42no—
234#6516—42no—
235C2×C22⋊Dic7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
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
270#6501—42no—
271#6501—42no—
272#6499—42no—
273#6499—42no—
274#6492—42no—
275#6492—42no—
276C4×C22⋊D7—24no—
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295#6487—24no—
296#6487—42no—
297#6487—42no—
298#6487—42no—
299#6487—42no—
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326#6448—42no—
327#6448—42no—
328#6442—42no—
329#6442—42no—
330C7×#95C2311yescharacteristic
331C7×#95C2311yescharacteristic
332C7×#95C2311yescharacteristic
333C7×#95C2311yescharacteristic
334C7×#95C2311yescharacteristic
335C7×#95C2311yescharacteristic
336C7×#95C2311yescharacteristic
337C7×#95C2311yescharacteristic
338C7⋊#95C2311yescharacteristic
339C7⋊#95C2311yescharacteristic
340C7⋊#95C2311yescharacteristic
341C7⋊#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370#2849—71no—
371#2848—71no—
372#2796—71no—
373#2761—71no—
374#2757—71no—
375#2751—71no—
376#2737—71no—
377#2730—71no—
378#2723—71no—
379#2715—71no—
380#2712—71no—
381#2710—71no—
382#2705—71no—
383#2701—71no—
384#2700—71no—
385#2691—71no—
386#2686—71no—
387#2672—71no—
388#2626—71no—
389#2622—71no—
390#2564—71no—
391#2549—71no—
392#2480—71no—
393#2480—71no—
394#2472—71no—
395#2472—71no—
396#2435—71no—
397#2408—71no—
398#2329—71no—
399#2318—71no—
400C2×#386D711yescharacteristic, complemented
401C24×C7—22no—
402C24×C7—22no—
403C24×C7—22no—
404C24×C7—22no—
405C24×C7—22no—
406C24×C7—22no—
407C24×C7—22no—
408C24×C7—22no—
409C24×C7—41no—
410C24×C7—41no—
411C24×C7—41no—
412C24×C7—41no—
413C24×C7—41no—
414C24×C7—41no—
415C24×C7C2411yescharacteristic
416C24×C7C2411yescharacteristic
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C24×C7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×D4—22no—
422C2×C7×D4—22no—
423C2×C7×D4—22no—
424C2×C7×D4—22no—
425C2×C7×D4—22no—
426C2×C7×D4—22no—
427C2×C7×D4—22no—
428C2×C7×D4—22no—
429C2×C7×D4—41no—
430C2×C7×D4—41no—
431C2×C7×D4—41no—
432C2×C7×D4—41no—
433C2×C7×D4—416no—
434C22×C4×C7—22no—
435C22×C4×C7—22no—
436C22×C4×C7—22no—
437C22×C4×C7—22no—
438C22×C4×C7—22no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—22no—
442C22×C4×C7—22no—
443C22×C4×C7—41no—
444C22×C4×C7—41no—
445C22×C4×C7—41no—
446C22×C4×C7—41no—
447C22×C4×C7—41no—
448C22×C4×C7—41no—
449C22×C4×C7—41no—
450C22×C4×C7—41no—
451C22×C4×C7—41no—
452C22×C4×C7—41no—
453C22×C4×C7—41no—
454C22×C4×C7—41no—
455C22×C4×C7—41no—
456C22×C4×C7—41no—
457C22×C4×C7—41no—
458C22×C4×C7—41no—
459C22×C4×C7—41no—
460C22×C4×C7—416no—
461C22×C4×C7#4114yes—
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C22×C4×C7C2411yescharacteristic
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C22×C4×C7C2411yescharacteristic
472C2×C22⋊D7—22no—
473C2×C22⋊D7—22no—
474C2×C22⋊D7—22no—
475C2×C22⋊D7—22no—
476C2×C22⋊D7—22no—
477C2×C22⋊D7—41no—
478C2×C22⋊D7—41no—
479C2×C22⋊D7—41no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7—41no—
482C2×C22⋊D7—41no—
483C2×C22⋊D7—41no—
484C2×C22⋊D7—41no—
485C2×C22⋊D7—41no—
486C2×C22⋊D7—41no—
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C2×C4×D7—22no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×Dic14—22no—
506C2×Dic14—22no—
507C2×Dic14—41no—
508C2×Dic14—41no—
509C2×Dic14—41no—
510C2×Dic14—41no—
511C2×Dic14—41no—
512C2×Dic14—41no—
513C2×Dic14—41no—
514C7×C22⋊C4—22no—
515C7×C22⋊C4—22no—
516C7×C22⋊C4—22no—
517C7×C22⋊C4—22no—
518C7×C22⋊C4—41no—
519C7×C22⋊C4—41no—
520C7×C22⋊C4—41no—
521C7×C22⋊C4—41no—
522C7×C22⋊C4—41no—
523C7×C22⋊C4—41no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4—41no—
526C22⋊Dic7—22no—
527C22⋊Dic7—22no—
528C22⋊Dic7—22no—
529C22⋊Dic7—22no—
530C22⋊Dic7—22no—
531C22⋊Dic7—22no—
532C22⋊Dic7—22no—
533C22⋊Dic7—22no—
534C22⋊Dic7—22no—
535C22⋊Dic7—22no—
536C22⋊Dic7—22no—
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—41no—
540C22⋊Dic7—41no—
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7—41no—
547C22⋊Dic7—41no—
548C22⋊Dic7—41no—
549C22⋊Dic7—41no—
550C22⋊Dic7—41no—
551C22⋊Dic7—41no—
552C22⋊Dic7—41no—
553C22⋊Dic7—41no—
554C22⋊Dic7—41no—
555C22⋊Dic7—41no—
556C22⋊Dic7—41no—
557C22⋊Dic7—41no—
558C22⋊Dic7—41no—
559C22⋊Dic7—41no—
560C22⋊Dic7—41no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570C4⋊Dic7—22no—
571C4⋊Dic7—22no—
572C4⋊Dic7—41no—
573C4⋊Dic7—41no—
574C4⋊Dic7—41no—
575C4⋊Dic7—41no—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578C4⋊Dic7—41no—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—41no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598C4×Dic7—22no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C23×D4C2×D711yescharacteristic
606C24×C4C2×D711yescharacteristic
607C2×#126—71no—
608C2×#126—71no—
609C2×#124—71no—
610C2×#124—71no—
611C2×#124—71no—
612C2×#124—71no—
613C2×#123—71no—
614C2×#123—71no—
615C2×C22⋊Q8—71no—
616C2×C22⋊Q8—71no—
617C2×C22⋊Q8—71no—
618C2×C22⋊Q8—71no—
619C2×C22⋊Q8—71no—
620C2×#121—71no—
621C2×#121—71no—
622C2×#120—71no—
623C2×#120—71no—
624C2×C4×D4—71no—
625C22×C22⋊C4C2×D711yescharacteristic
626C22×C22⋊C4C2×D711yescharacteristic
627C22×C22⋊C4C2×D711yescharacteristic
628#400—71no—
629#399—71no—
630#399—71no—
631#399—71no—
632#398—71no—
633#398—71no—
634#397—71no—
635#397—71no—
636#397—71no—
637#397—71no—
638#397—71no—
639#397—71no—
640#397—71no—
641#397—71no—
642#397—71no—
643#397—71no—
644#397—71no—
645#397—71no—
646#396—71no—
647#396—71no—
648#396—71no—
649#396—71no—
650#396—71no—
651#396—71no—
652#395—71no—
653#395—71no—
654#395—71no—
655#394—71no—
656#394—71no—
657#394—71no—
658#394—71no—
659#394—71no—
660#394—71no—
661#394—71no—
662#394—71no—
663#394—71no—
664#394—71no—
665#394—71no—
666#394—71no—
667#394—71no—
668#394—71no—
669#393—71no—
670#393—71no—
671#393—71no—
672#393—71no—
673#393—71no—
674#392—71no—
675#392—71no—
676#391—71no—
677#391—71no—
678#391—71no—
679#391—71no—
680#390—71no—
681#390—71no—
682#390—71no—
683#390—71no—
684#390—71no—
685#390—71no—
686#389—71no—
687#389—71no—
688#389—71no—
689#389—71no—
690#388—71no—
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388—71no—
698#388—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#387—71no—
703#387—71no—
704#387—71no—
705#387—71no—
706#387—71no—
707#387—71no—
708#387—71no—
709#387—71no—
710#386—71no—
711#386—71no—
712#386—71no—
713#386—71no—
714#386—71no—
715#386—71no—
716#386C2×D711yescharacteristic
717#386C2×D711yescharacteristic
718#386C2×D711yescharacteristic
719#386C2×D711yescharacteristic
720#386C2×D711yescharacteristic
721#386C2×D711yescharacteristic
722#386C2×D711yescharacteristic
723#386C2×D711yescharacteristic
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385—71no—
730#385—71no—
731#385—71no—
732#385—71no—
733#385—71no—
734#385—71no—
735#385—71no—
736#385—71no—
737#385—71no—
738#383—71no—
739#382—71no—
740#381—71no—
741#381—71no—
742#381—71no—
743#380—71no—
744#380—71no—
745#380—71no—
746#380—71no—
747#380—71no—
748#380—71no—
749#379—71no—
750#379—71no—
751#379—71no—
752#379—71no—
753#379—71no—
754#379—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4—71no—
758C2×#95C2×D711yescharacteristic
759C2×#95C2×D711yescharacteristic
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—28no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7—21no—
791C23×C7—44no—
792C23×C7—44no—
793C23×C7—44no—
794C23×C7—44no—
795C23×C7—44no—
796C23×C7—44no—
797C23×C7—44no—
798C23×C7—44no—
799C23×C7—44no—
800C23×C7—82no—
801C23×C7—82no—
802C23×C7—82no—
803C23×C7—82no—
804C23×C7C2×#4112yes—
805C23×C7H(5,𝔽2)12yes—
806C23×C7H(5,𝔽2)12yes—
807C23×C7H(5,𝔽2)12yes—
808C23×C72−1+412yes—
809C23×C7C2511yescharacteristic
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C7×D4—44no—
818C7×D4—44no—
819C7×D4—44no—
820C7×D4—44no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—44no—
849C2×C4×C7—44no—
850C2×C4×C7—44no—
851C2×C4×C7—44no—
852C2×C4×C7—44no—
853C2×C4×C7—44no—
854C2×C4×C7—44no—
855C2×C4×C7—82no—
856C2×C4×C7—82no—
857C2×C4×C7C2×#4112yes—
858C2×C4×C7C2×#4112yes—
859C2×C4×C7H(5,𝔽2)12yes—
860C22⋊D7—44no—
861C22⋊D7—82no—
862C22⋊D7—82no—
863C22⋊D7—82no—
864C22⋊D7—82no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C4×D7—82no—
911Dic14—82no—
912Dic14—82no—
913Dic14—82no—
914C25C22×D711yescharacteristic
915C25C22×D711yescharacteristic
916C22×Q8—71no—
917C22×Q8—71no—
918C22×Q8—71no—
919C22×D4—24no—
920C22×D4—42no—
921C22×D4—42no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
927C22×D4C22×D711yescharacteristic
928C22×D4C22×D711yescharacteristic
929C22×D4C22×D711yescharacteristic
930C22×D4C22×D711yescharacteristic
931C23×C4—42no—
932C23×C4—42no—
933C23×C4—42no—
934C23×C4—71no—
935C23×C4C22×D711yescharacteristic
936C23×C4C22×D711yescharacteristic
937C23×C4C22×D711yescharacteristic
938C23×C4C22×D711yescharacteristic
939C23×C4C22×D711yescharacteristic
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942C23×C4C22×D711yescharacteristic
943C23×C4C22×D711yescharacteristic
944#126—282no—
945#126—282no—
946#124—282no—
947#124—282no—
948#124—282no—
949#124—282no—
950#123—282no—
951#123—282no—
952C22⋊Q8—144no—
953C22⋊Q8—282no—
954C22⋊Q8—282no—
955C22⋊Q8—282no—
956C22⋊Q8—282no—
957#121—282no—
958#121—282no—
959#120—282no—
960#120—282no—
961C4×D4—144no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C22⋊C4—42no—
991C2×C22⋊C4—42no—
992C2×C22⋊C4—42no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4C22×D711yescharacteristic
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C22⋊C4C22×D711yescharacteristic
1041C2×C22⋊C4C22×D711yescharacteristic
1042C2×C22⋊C4C22×D711yescharacteristic
1043C2×C22⋊C4C22×D711yescharacteristic
1044C2×C22⋊C4C22×D711yescharacteristic
1045C2×C22⋊C4C22×D711yescharacteristic
1046C2×C22⋊C4C22×D711yescharacteristic
1047C2×C22⋊C4C22×D711yescharacteristic
1048C2×C22⋊C4C22×D711yescharacteristic
1049C2×C42—71no—
1050C2×C42—71no—
1051C2×C42—71no—
1052C2×C42—71no—
1053C2×C42—71no—
1054C2×C42—71no—
1055C2×C42—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096C22×C7—22no—
1097C22×C7—22no—
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—22no—
1105C22×C7—22no—
1106C22×C7—22no—
1107C22×C7—22no—
1108C22×C7—416no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7—41no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7—41no—
1127C22×C7—41no—
1128C22×C7—41no—
1129C22×C7—41no—
1130C22×C7—41no—
1131C22×C7—88no—
1132C22×C7#54214yes—
1133C22×C7C22×#4111yescharacteristic
1134C22×C7C2×H(5,𝔽2)11yescharacteristic
1135C22×C7C2×H(5,𝔽2)11yescharacteristic
1136C22×C7C2×H(5,𝔽2)11yescharacteristic
1137C22×C7C2×H(5,𝔽2)11yescharacteristic
1138C22×C7C2×2−1+411yescharacteristic
1139C22×C7#58511yescharacteristic
1140C2×D7—41no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C4×C7—22no—
1148C4×C7—22no—
1149C4×C7—22no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154C4×C7—41no—
1155C4×C7—41no—
1156C4×C7—41no—
1157Dic7—41no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169Dic7—41no—
1170Dic7—41no—
1171Dic7—41no—
1172C24—22no—
1173C24—22no—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—22no—
1178C24—22no—
1179C24—22no—
1180C24—41no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—71no—
1187C24C23×D711yescharacteristic
1188C24C23×D711yescharacteristic
1189C24C23×D711yescharacteristic
1190C24C23×D711yescharacteristic
1191C24C23×D711yescharacteristic
1192C2×Q8—142no—
1193C2×Q8—142no—
1194C2×Q8—281no—
1195C2×Q8—281no—
1196C2×Q8—281no—
1197C2×Q8—281no—
1198C2×Q8—281no—
1199C2×Q8—281no—
1200C2×Q8—281no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—416no—
1214C2×D4—142no—
1215C2×D4—142no—
1216C2×D4—142no—
1217C2×D4—142no—
1218C2×D4—142no—
1219C2×D4—281no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—281no—
1225C2×D4—281no—
1226C2×D4—281no—
1227C2×D4—281no—
1228C2×D4—281no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—416no—
1256C22×C4—71no—
1257C22×C4—71no—
1258C22×C4—71no—
1259C22×C4—71no—
1260C22×C4—71no—
1261C22×C4—71no—
1262C22×C4—71no—
1263C22×C4—71no—
1264C22×C4—71no—
1265C22×C4—71no—
1266C22×C4—71no—
1267C22×C4—71no—
1268C22×C4—71no—
1269C22×C4—71no—
1270C22×C4—71no—
1271C22×C4—142no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4#115714yes—
1275C22×C4C23×D711yescharacteristic
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4—281no—
1306C4⋊C4—281no—
1307C4⋊C4—281no—
1308C4⋊C4—281no—
1309C4⋊C4—281no—
1310C4⋊C4—281no—
1311C4⋊C4—281no—
1312C4⋊C4—281no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
1335C22⋊C4—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4—281no—
1348C22⋊C4—281no—
1349C22⋊C4—281no—
1350C22⋊C4—281no—
1351C22⋊C4—281no—
1352C22⋊C4—281no—
1353C22⋊C4—281no—
1354C22⋊C4—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4—281no—
1364C22⋊C4—281no—
1365C22⋊C4—281no—
1366C22⋊C4—281no—
1367C22⋊C4—281no—
1368C22⋊C4—281no—
1369C42—142no—
1370C42—281no—
1371C42—281no—
1372C42—281no—
1373C42—281no—
1374C42—281no—
1375C42—281no—
1376C2×C7—24no—
1377C2×C7—42no—
1378C2×C7—42no—
1379C2×C7—81no—
1380C2×C7—81no—
1381C2×C7C2×#54211yescharacteristic
1382C2×C7#349011yescharacteristic
1383C2×C7#350611yescharacteristic
1384C2×C7#353211yescharacteristic
1385C2×C7#353411yescharacteristic
1386C2×C7#353511yescharacteristic
1387C2×C7#353611yescharacteristic
1388D7—81no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—28no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—141no—
1434C23—141no—
1435C23—141no—
1436C23—141no—
1437C23—141no—
1438C23—141no—
1439C23—141no—
1440C23C2×#115712yes—
1441C23#654812yes—
1442C23#654812yes—
1443C23#654812yes—
1444C23#655412yes—
1445C23C24×D711yescharacteristic
1446Q8—562no—
1447Q8—562no—
1448Q8—562no—
1449D4—44no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—284no—
1454D4—562no—
1455D4—562no—
1456D4—562no—
1457D4—562no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—562no—
1540C2×C4C2×#115712yes—
1541C2×C4C2×#115712yes—
1542C2×C4#654812yes—
1543C7#3679311yescharacteristic, complemented, Sylow
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—88no—
1580C22—281no—
1581C22—281no—
1582C22—281no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22#9025214yes—
1588C22C22×#115711yescharacteristic
1589C22C2×#654811yescharacteristic
1590C22C2×#654811yescharacteristic
1591C22C2×#654811yescharacteristic
1592C22C2×#654811yescharacteristic
1593C22C2×#655411yescharacteristic
1594C22#9061611yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—281no—
1606C4—281no—
1607C4—281no—
1608C4—281no—
1609C4—281no—
1610C4—281no—
1611C4—281no—
1612C4—281no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—561no—
1626C2#1174276511yescharacteristic
1627C2C2×#9025211yescharacteristic
1628C2#1174285611yescharacteristic
1629C2#1174298911yescharacteristic
1630C2#1174302211yescharacteristic
1631C2#1174302311yescharacteristic
1632C2#1174307111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC2×C7×#386C2
prime radical#11741498C2
hypercenterC2×#386D7
hypocenterC7#36793
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
3. #11741495C2semidirect
4. #11741478C2semidirect
5. #11741476C2semidirect
6. #11739576C2semidirect
7. #11739562C2semidirect
8. #11739557C2semidirect
9. #11739557C2semidirect
10. #11739556C2semidirect
11. #11739556C2semidirect
12. #11732370C2semidirect
13. #11732365C2semidirect
14. #11732359C2semidirect
15. #11732308C2semidirect
16. #11732297C2semidirect
17. #11732295C2semidirect
18. #11732289C2semidirect
19. #11732276C2semidirect
20. #11732273C2semidirect
21. #11732271C2semidirect
22. #11732269C2semidirect
23. #11732267C2semidirect
24. #11732266C2semidirect
25. #11732261C2semidirect
26. #11732256C2semidirect
27. #11732246C2semidirect
28. #11730812C2semidirect
29. #11730803C2semidirect
30. #11730802C2semidirect
31. #11730779C2semidirect
43. C2×#6492C22semidirect
44. C2×#6492C22semidirect
49. C2×#6487C22semidirect
50. C2×#6487C22semidirect
51. C2×#6448C22semidirect
52. C2×#6448C22semidirect
53. C2×#6442C22semidirect
54. C2×#6442C22semidirect
87. #89985C22semidirect
88. #89985C22semidirect
92. #89984C22semidirect
93. #89984C22semidirect
94. #89983C22semidirect
95. #89983C22semidirect
102. #89982C22semidirect
103. #89982C22semidirect
104. #89982C22semidirect
105. #89982C22semidirect
106. #89982C22semidirect
107. #89982C22semidirect
111. #89733C22semidirect
112. #89733C22semidirect
113. #89731C22semidirect
114. #89731C22semidirect
115. #89731C22semidirect
116. #89731C22semidirect
117. #89731C22semidirect
118. #89731C22semidirect
119. #89729C22semidirect
120. #89729C22semidirect
121. #89725C22semidirect
122. #89725C22semidirect
123. #89724C22semidirect
124. #89724C22semidirect
125. #89724C22semidirect
126. #89724C22semidirect
127. #89724C22semidirect
128. #89724C22semidirect
129. #89724C22semidirect
130. #89724C22semidirect
131. #89724C22semidirect
132. #89724C22semidirect
133. #89723C22semidirect
134. #89723C22semidirect
135. #89723C22semidirect
136. #89723C22semidirect
137. #89721C22semidirect
138. #89721C22semidirect
139. #89720C22semidirect
140. #89720C22semidirect
141. #89720C22semidirect
142. #89720C22semidirect
143. #89720C22semidirect
144. #89720C22semidirect
145. #89719C22semidirect
146. #89719C22semidirect
147. #89719C22semidirect
148. #89719C22semidirect
149. #89717C22semidirect
150. #89717C22semidirect
151. #89716C22semidirect
152. #89716C22semidirect
153. #89716C22semidirect
154. #89716C22semidirect
155. #89449C22semidirect
156. #89445C22semidirect
157. #89441C22semidirect
158. #89441C22semidirect
159. #89440C22semidirect
160. #89440C22semidirect
161. #89439C22semidirect
162. #89436C22semidirect
163. #89431C22semidirect
164. #89429C22semidirect
165. #89429C22semidirect
166. #89428C22semidirect
167. #89428C22semidirect
168. #89428C22semidirect
169. #89427C22semidirect
170. #89427C22semidirect
171. #89426C22semidirect
172. #89426C22semidirect
173. #89425C22semidirect
174. #89425C22semidirect
175. #89424C22semidirect
176. #89424C22semidirect
177. #89423C22semidirect
178. #89422C22semidirect
179. #89419C22semidirect
180. #89419C22semidirect
181. #89419C22semidirect
182. #89419C22semidirect
183. #89418C22semidirect
184. #89418C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
400. C2×#386D7semidirect
1543. C7#36793semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#3862
#117414982
#117414952
#117414782
#117414762
#117395762
#117395622
#117395572
#117395562
#117323702
#117323652
#117323592
#117323082
#117322972
#117322952
#117322892
#117322762
#117322732
#117322712
#117322692
#117322672
#117322662
#117322612
#117322562
#117322462
#117308122
#117308032
#117308022
#117307792
#367937