Finite Group Databasebeta

← #13524988

Subgroups — #13524988

Order 1792.

2728 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90523C211yesmaximal, characteristic, complemented
2C2×#90219C211yesmaximal, characteristic, complemented
3C7×#2297C211yesmaximal, characteristic, complemented
4#11741540C211yesmaximal, characteristic, complemented
5#11739719C211yesmaximal, characteristic, complemented
6C4×#6493C211yesmaximal, characteristic, complemented
7C42×C22⋊D7C211yesmaximal, characteristic, complemented
8#11734080C211yesmaximal, characteristic, complemented
9#11733984C211yesmaximal, characteristic, complemented
10#11733982C211yesmaximal, characteristic, complemented
11#11733962C211yesmaximal, characteristic, complemented
12#11733892C211yesmaximal, characteristic, complemented
13#11733804C211yesmaximal, characteristic, complemented
14#11733792C211yesmaximal, characteristic, complemented
15#11733778C211yesmaximal, characteristic, complemented
16#11732205C211yesmaximal, characteristic, complemented
17#11732204C211yesmaximal, characteristic, complemented
18#11732198C211yesmaximal, characteristic, complemented
19#11732196C211yesmaximal, characteristic, complemented
20#11732193C211yesmaximal, characteristic, complemented
21#11732164C211yesmaximal, characteristic, complemented
22#11732143C211yesmaximal, characteristic, complemented
23#11732142C211yesmaximal, characteristic, complemented
24#11731027C211yesmaximal, characteristic, complemented
25#11731025C211yesmaximal, characteristic, complemented
26C4×#6447C211yesmaximal, characteristic, complemented
27C4×#6447C211yesmaximal, characteristic, complemented
28#11731008C211yesmaximal, characteristic, complemented
29C4×#6448C211yesmaximal, characteristic, complemented
30C4×#6441C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C22×C7×#41C2211yescharacteristic
33C22×#1157C2211yescharacteristic
34C2×C7×#117C2211yescharacteristic
35C22×C42×C7C2211yescharacteristic
36#90523—28no—
37C2×#6510C2211yescharacteristic
38C2×#6507C2211yescharacteristic
39C2×#6503C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6502C2211yescharacteristic
43C2×#6502C2211yescharacteristic
44C2×#6499C2211yescharacteristic
45C2×#6493C2211yescharacteristic
46C2×C4×C22⋊D7C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic
48C2×C4×C22⋊D7C2211yescharacteristic
49C2×C4×C22⋊D7C2211yescharacteristic
50C2×C4×C22⋊D7C2211yescharacteristic
51C2×C4×C22⋊D7C2211yescharacteristic
52C2×C4×C22⋊D7C2211yescharacteristic
53C2×C4×C22⋊D7C2211yescharacteristic
54C2×C4×C22⋊D7C2211yescharacteristic
55C22×C4×Dic7C2211yescharacteristic
56#90219—28no—
57C2×#6461C2211yescharacteristic
58C2×#6459C2211yescharacteristic
59C2×#6457C2211yescharacteristic
60C2×#6452C2211yescharacteristic
61C2×#6448C2211yescharacteristic
62C2×#6448C2211yescharacteristic
63C2×#6447C2211yescharacteristic
64C2×#6447C2211yescharacteristic
65C2×#6447C2211yescharacteristic
66C2×#6446C2211yescharacteristic
67C2×(C22⋊D7)⋊C4C2211yescharacteristic
68C2×(C22⋊D7)⋊C4C2211yescharacteristic
69C2×#6442C2211yescharacteristic
70C2×#6441C2211yescharacteristic
71C2×C4×D28C2211yescharacteristic
72C2×C4×D28C2211yescharacteristic
73C2×#6435C2211yescharacteristic
74C2×C42×D7C2211yescharacteristic
75C2×C42×D7C2211yescharacteristic
76C2×C4×Dic14C2211yescharacteristic
77C7×#391C2211yescharacteristic
78C7×#391C2211yescharacteristic
79C7×#390C2211yescharacteristic
80C7×#390C2211yescharacteristic
81C7×#386C2211yescharacteristic
82C7×#386C2211yescharacteristic
83C7×#386C2211yescharacteristic
84C7×#386C2211yescharacteristic
85C4×C7×C22⋊C4C2211yescharacteristic
86C4×C7×C22⋊C4C2211yescharacteristic
87C4×C7×C22⋊C4C2211yescharacteristic
88C4×C7×C22⋊C4C2211yescharacteristic
89#90003C2211yescharacteristic
90#90001C2211yescharacteristic
91#89995C2211yescharacteristic
92#89995C2211yescharacteristic
93#89995C2211yescharacteristic
94#89994C2211yescharacteristic
95#89994C2211yescharacteristic
96#89994C2211yescharacteristic
97#89985C2211yescharacteristic
98#89985C2211yescharacteristic
99#89984C2211yescharacteristic
100C4×C22⋊Dic7C2211yescharacteristic
101C4×C22⋊Dic7C2211yescharacteristic
102C4×C22⋊Dic7C2211yescharacteristic
103C4×C22⋊Dic7C2211yescharacteristic
104C4×C22⋊Dic7C2211yescharacteristic
105#89765C2211yescharacteristic
106#89764C2211yescharacteristic
107#89754C2211yescharacteristic
108#89752C2211yescharacteristic
109#89733C2211yescharacteristic
110#89733C2211yescharacteristic
111#89733C2211yescharacteristic
112#89732C2211yescharacteristic
113#89732C2211yescharacteristic
114#89731C2211yescharacteristic
115#89731C2211yescharacteristic
116#89731C2211yescharacteristic
117#89729C2211yescharacteristic
118#89729C2211yescharacteristic
119#89729C2211yescharacteristic
120#89729C2211yescharacteristic
121#89729C2211yescharacteristic
122#89728C2211yescharacteristic
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic
125#89728C2211yescharacteristic
126#89724C2211yescharacteristic
127#89724C2211yescharacteristic
128#89724C2211yescharacteristic
129#89723C2211yescharacteristic
130#89723C2211yescharacteristic
131#89723C2211yescharacteristic
132#89722C2211yescharacteristic
133#89721C2211yescharacteristic
134#89718C2211yescharacteristic
135#89716C2211yescharacteristic
136#89714C2211yescharacteristic
137C22⋊C4×Dic7C2211yescharacteristic
138C22⋊C4×Dic7C2211yescharacteristic
139#89712C2211yescharacteristic
140#89712C2211yescharacteristic
141#89711C2211yescharacteristic
142C4×(C2×D7)⋊C4C2211yescharacteristic
143C4×(C2×D7)⋊C4C2211yescharacteristic
144C4×(C2×D7)⋊C4C2211yescharacteristic
145C4×(C2×D7)⋊C4C2211yescharacteristic
146C4×(C2×D7)⋊C4C2211yescharacteristic
147C4×(C2×D7)⋊C4C2211yescharacteristic
148C4×(C2×D7)⋊C4C2211yescharacteristic
149C4×C4⋊Dic7C2211yescharacteristic
150C4×Dic7⋊C4C2211yescharacteristic
151C4×Dic7⋊C4C2211yescharacteristic
152C4×Dic7⋊C4C2211yescharacteristic
153C4×Dic7⋊C4C2211yescharacteristic
154C4×Dic7⋊C4C2211yescharacteristic
155C42×Dic7C2211yescharacteristic
156#89700C2211yescharacteristic
157#89447C2211yescharacteristic
158#89446C2211yescharacteristic
159#89445C2211yescharacteristic
160#89444C2211yescharacteristic
161#89443C2211yescharacteristic
162#89442C2211yescharacteristic
163#89441C2211yescharacteristic
164#89441C2211yescharacteristic
165#89441C2211yescharacteristic
166#89439C2211yescharacteristic
167#89439C2211yescharacteristic
168#89438C2211yescharacteristic
169#89438C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89430C2211yescharacteristic
175#89429C2211yescharacteristic
176#89428C2211yescharacteristic
177#89427C2211yescharacteristic
178#89426C2211yescharacteristic
179#89422C2211yescharacteristic
180#89421C2211yescharacteristic
181#89421C2211yescharacteristic
182#89419C2211yescharacteristic
183#89419C2211yescharacteristic
184#89419C2211yescharacteristic
185#89418C2211yescharacteristic
186#89418C2211yescharacteristic
187#89418C2211yescharacteristic
188#89418C2211yescharacteristic
189#34889—71nomaximal, Sylow
190C2×C7×#41—24no—
191C2×C7×#41—24no—
192C2×C7×#41—42no—
193C22×C7×Q8C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C23×C4×C7C2311yescharacteristic
201C23×C4×C7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C22×C22⋊D7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C2×#1157—24no—
214C2×#1157—24no—
215C2×#1157—42no—
216C22×D28C2311yescharacteristic
217C22×D28C2311yescharacteristic
218C22×D28C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C22×Dic14C2311yescharacteristic
227C22×Dic14C2311yescharacteristic
228C7×#117—24no—
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C42×C7—42no—
242C2×C42×C7C2311yescharacteristic
243C2×C42×C7C2311yescharacteristic
244C2×C42×C7C2311yescharacteristic
245C2×C42×C7C2311yescharacteristic
246C2×C42×C7C2311yescharacteristic
247C2×C42×C7C2311yescharacteristic
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
261#6510—24no—
262#6507—24no—
263#6503—24no—
264#6502—24no—
265#6502—24no—
266#6502—24no—
267#6502—24no—
268#6499—24no—
269#6493—24no—
270C4×C22⋊D7—24no—
271C4×C22⋊D7—24no—
272C4×C22⋊D7—24no—
273C4×C22⋊D7—24no—
274C4×C22⋊D7—24no—
275C4×C22⋊D7—24no—
276C4×C22⋊D7—24no—
277C4×C22⋊D7—42no—
278C4×C22⋊D7D418yescomplemented
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×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
301C2×(C2×D7)⋊C4C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×C4×Dic7—24no—
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333C2×C4×Dic7C2311yescharacteristic
334C2×C4×Dic7C2311yescharacteristic
335C2×C4×Dic7C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337C2×C4×Dic7C2311yescharacteristic
338C2×C4×Dic7C2311yescharacteristic
339C2×C4×Dic7C2311yescharacteristic
340#6461—24no—
341#6459—24no—
342#6457—24no—
343#6452—24no—
344#6448—24no—
345#6448—24no—
346#6447—24no—
347#6447—24no—
348#6447—24no—
349#6446—24no—
350(C22⋊D7)⋊C4—24no—
351(C22⋊D7)⋊C4—24no—
352#6442—24no—
353#6441—24no—
354C4×D28—24no—
355C4×D28—42no—
356#6435—24no—
357C42×D7—24no—
358C42×D7—42no—
359C4×Dic14—24no—
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
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C2×#532—71no—
393C2×#529—71no—
394#2559—71no—
395#2559—71no—
396#2557—71no—
397#2557—71no—
398#2550—71no—
399#2544—71no—
400#2540—71no—
401#2535—71no—
402#2521—71no—
403#2521—71no—
404#2492—71no—
405#2490—71no—
406#2464—71no—
407#2464—71no—
408#2428—71no—
409#2427—71no—
410#2395—71no—
411#2395—71no—
412#2388—71no—
413#2388—71no—
414C4×#124—71no—
415C4×C22⋊Q8—71no—
416C4×#121—71no—
417C4×#121—71no—
418C4×#121—71no—
419#2297—71no—
420#2297D711yescharacteristic, complemented
421C42×D4—71no—
422C42×D4—71no—
423C24×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C7×#41—416no—
430C2×C7×Q8—22no—
431C2×C7×Q8—22no—
432C2×C7×Q8—41no—
433C2×C7×D4—22no—
434C2×C7×D4—22no—
435C2×C7×D4—22no—
436C2×C7×D4—22no—
437C2×C7×D4—22no—
438C2×C7×D4—22no—
439C2×C7×D4—41no—
440C2×C7×D4—41no—
441C2×C7×D4—41no—
442C22×C4×C7—22no—
443C22×C4×C7—22no—
444C22×C4×C7—22no—
445C22×C4×C7—22no—
446C22×C4×C7—22no—
447C22×C4×C7—22no—
448C22×C4×C7—22no—
449C22×C4×C7—22no—
450C22×C4×C7—22no—
451C22×C4×C7—22no—
452C22×C4×C7—41no—
453C22×C4×C7—41no—
454C22×C4×C7—41no—
455C22×C4×C7C2×D414yes—
456C22×C4×C7#4114yes—
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C22×C4×C7C2411yescharacteristic
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—22no—
474C2×C22⋊D7—22no—
475C2×C22⋊D7—22no—
476C2×C22⋊D7—22no—
477C2×C22⋊D7—22no—
478C2×C22⋊D7—22no—
479C2×C22⋊D7—22no—
480C2×C22⋊D7—22no—
481C2×C22⋊D7—22no—
482C2×C22⋊D7—22no—
483C2×C22⋊D7—22no—
484C2×C22⋊D7—22no—
485C2×C22⋊D7—22no—
486C2×C22⋊D7—22no—
487C2×C22⋊D7—22no—
488C2×C22⋊D7—22no—
489C2×C22⋊D7—41no—
490C2×C22⋊D7—41no—
491C2×C22⋊D7—41no—
492C2×C22⋊D7—41no—
493C2×C22⋊D7—41no—
494C2×C22⋊D7—41no—
495C2×C22⋊D7C2×D414yes—
496C22×Dic7—22no—
497C22×Dic7—22no—
498C22×Dic7—22no—
499C22×Dic7—22no—
500C22×Dic7—22no—
501C22×Dic7—41no—
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513C22×Dic7C2411yescharacteristic
514C22×Dic7C2411yescharacteristic
515#1157—416no—
516C2×D28—22no—
517C2×D28—22no—
518C2×D28—22no—
519C2×D28—22no—
520C2×D28—22no—
521C2×D28—22no—
522C2×D28—41no—
523C2×D28—41no—
524C2×D28—41no—
525C2×C4×D7—22no—
526C2×C4×D7—22no—
527C2×C4×D7—22no—
528C2×C4×D7—22no—
529C2×C4×D7—22no—
530C2×C4×D7—22no—
531C2×C4×D7—22no—
532C2×C4×D7—22no—
533C2×C4×D7—22no—
534C2×C4×D7—22no—
535C2×C4×D7—22no—
536C2×C4×D7—22no—
537C2×C4×D7—22no—
538C2×C4×D7—22no—
539C2×C4×D7—22no—
540C2×C4×D7—22no—
541C2×C4×D7—41no—
542C2×C4×D7—41no—
543C2×C4×D7—41no—
544C2×C4×D7—41no—
545C2×C4×D7C2×D414yes—
546C2×Dic14—22no—
547C2×Dic14—22no—
548C2×Dic14—22no—
549C2×Dic14—22no—
550C2×Dic14—22no—
551C2×Dic14—41no—
552C7×C4⋊C4—22no—
553C7×C4⋊C4—22no—
554C7×C22⋊C4—22no—
555C7×C22⋊C4—22no—
556C7×C22⋊C4—22no—
557C7×C22⋊C4—22no—
558C7×C22⋊C4—22no—
559C7×C22⋊C4—22no—
560C7×C22⋊C4—22no—
561C7×C22⋊C4—22no—
562C7×C22⋊C4—41no—
563C7×C22⋊C4—41no—
564C42×C7—22no—
565C42×C7—22no—
566C42×C7—22no—
567C42×C7—22no—
568C42×C7—41no—
569C42×C7—41no—
570C22⋊Dic7—22no—
571C22⋊Dic7—22no—
572C22⋊Dic7—22no—
573C22⋊Dic7—22no—
574C22⋊Dic7—22no—
575C22⋊Dic7—22no—
576C22⋊Dic7—22no—
577C22⋊Dic7—22no—
578C22⋊Dic7—22no—
579C22⋊Dic7—41no—
580C22⋊Dic7—41no—
581C22⋊Dic7—41no—
582C22⋊Dic7C2×D414yes—
583(C2×D7)⋊C4—22no—
584(C2×D7)⋊C4—22no—
585(C2×D7)⋊C4—22no—
586(C2×D7)⋊C4—22no—
587(C2×D7)⋊C4—22no—
588(C2×D7)⋊C4—22no—
589(C2×D7)⋊C4—22no—
590(C2×D7)⋊C4—22no—
591(C2×D7)⋊C4—22no—
592(C2×D7)⋊C4—22no—
593(C2×D7)⋊C4—22no—
594(C2×D7)⋊C4—22no—
595(C2×D7)⋊C4—22no—
596(C2×D7)⋊C4—22no—
597(C2×D7)⋊C4—22no—
598(C2×D7)⋊C4—22no—
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)⋊C4C2×D414yes—
605(C2×D7)⋊C4#4114yescomplemented
606C4⋊Dic7—22no—
607C4⋊Dic7—22no—
608C4⋊Dic7—22no—
609C4⋊Dic7—22no—
610C4⋊Dic7—41no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4—22no—
614Dic7⋊C4—22no—
615Dic7⋊C4—22no—
616Dic7⋊C4—22no—
617Dic7⋊C4—22no—
618Dic7⋊C4—22no—
619Dic7⋊C4—22no—
620Dic7⋊C4—22no—
621Dic7⋊C4—22no—
622Dic7⋊C4—22no—
623Dic7⋊C4—22no—
624Dic7⋊C4—22no—
625Dic7⋊C4—41no—
626Dic7⋊C4C2×D414yes—
627Dic7⋊C4#4114yescomplemented
628C4×Dic7—22no—
629C4×Dic7—22no—
630C4×Dic7—22no—
631C4×Dic7—22no—
632C4×Dic7—22no—
633C4×Dic7—22no—
634C4×Dic7—22no—
635C4×Dic7—22no—
636C4×Dic7—22no—
637C4×Dic7—22no—
638C4×Dic7—41no—
639C4×Dic7—41no—
640C4×Dic7—41no—
641C4×Dic7C2×D414yes—
642C4×Dic7#4114yescomplemented
643C22×#41—71no—
644C22×#41C2×D711yescharacteristic
645#532—148no—
646C2×C4⋊Q8—71no—
647C2×#127—71no—
648#529—148no—
649C2×#126—71no—
650C2×#126—71no—
651C2×#125—71no—
652C2×#124—71no—
653C2×#124—71no—
654C2×#124—71no—
655C2×#124—71no—
656C2×#123—71no—
657C2×#123—71no—
658C2×C22⋊Q8—71no—
659C2×C22⋊Q8—71no—
660C2×#121—71no—
661C2×#121—71no—
662C2×#121—71no—
663C2×#121—71no—
664C2×#121—71no—
665C2×#121—71no—
666C2×#121—71no—
667C2×#121—71no—
668C2×C4×Q8—71no—
669C2×C4×D4—71no—
670C2×C4×D4—71no—
671C2×C4×D4—71no—
672C2×C4×D4—71no—
673C2×C4×D4—71no—
674C2×C4×D4—71no—
675C2×C4×D4—71no—
676C2×C4×D4—71no—
677C2×C4×D4—71no—
678C2×C4×D4—71no—
679C2×C4×D4—71no—
680C2×C4×D4—71no—
681C2×C4×D4—71no—
682C2×#117—71no—
683C2×#117C2×D711yescharacteristic
684C22×C42—71no—
685C22×C42—71no—
686C22×C42—71no—
687C22×C42C2×D711yescharacteristic
688#400—71no—
689#400—71no—
690#399—71no—
691#399—71no—
692#398—71no—
693#398—71no—
694#397—71no—
695#397—71no—
696#397—71no—
697#397—71no—
698#397—71no—
699#397—71no—
700#395—71no—
701#395—71no—
702#394—71no—
703#394—71no—
704#394—71no—
705#394—71no—
706#394—71no—
707#394—71no—
708#394—71no—
709#394—71no—
710#394—71no—
711#394—71no—
712#393—71no—
713#393—71no—
714#392—71no—
715#392—71no—
716#392—71no—
717#392—71no—
718#392—71no—
719#392—71no—
720#391—71no—
721#391—71no—
722#391—71no—
723#391—71no—
724#391C2×D711yescharacteristic
725#391C2×D711yescharacteristic
726#390—71no—
727#390—71no—
728#390—71no—
729#390—71no—
730#390—71no—
731#390—71no—
732#390C2×D711yescharacteristic
733#390C2×D711yescharacteristic
734#389—71no—
735#389—71no—
736#389—71no—
737#389—71no—
738#388—71no—
739#388—71no—
740#388—71no—
741#388—71no—
742#388—71no—
743#388—71no—
744#388—71no—
745#388—71no—
746#388—71no—
747#388—71no—
748#387—71no—
749#387—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#385—71no—
765#385—71no—
766#382—71no—
767#380—71no—
768#380—71no—
769#380—71no—
770#380—71no—
771C4×C4⋊C4—71no—
772C4×C4⋊C4—71no—
773C4×C4⋊C4—71no—
774C4×C4⋊C4—71no—
775C4×C4⋊C4—71no—
776C4×C4⋊C4—71no—
777C4×C4⋊C4—71no—
778C4×C4⋊C4—71no—
779C4×C22⋊C4—71no—
780C4×C22⋊C4—71no—
781C4×C22⋊C4—71no—
782C4×C22⋊C4—71no—
783C4×C22⋊C4—71no—
784C4×C22⋊C4—71no—
785C4×C22⋊C4—71no—
786C4×C22⋊C4—71no—
787C4×C22⋊C4—71no—
788C4×C22⋊C4—71no—
789C4×C22⋊C4—71no—
790C4×C22⋊C4—71no—
791C4×C22⋊C4—71no—
792C4×C22⋊C4—71no—
793C4×C22⋊C4—71no—
794C4×C22⋊C4—71no—
795C4×C22⋊C4C2×D711yescharacteristic
796C4×C22⋊C4C2×D711yescharacteristic
797C4×C22⋊C4C2×D711yescharacteristic
798C4×C22⋊C4C2×D711yescharacteristic
799C43—71no—
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×C7C22×D412yes—
820C23×C7C2×#4112yes—
821C23×C7C2511yescharacteristic
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—21no—
827C22×D7—21no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—21no—
831C22×D7—21no—
832C22×D7—21no—
833C22×D7—21no—
834C22×D7—21no—
835C22×D7—21no—
836C22×D7—21no—
837C22×D7—21no—
838C22×D7—21no—
839C22×D7—21no—
840C22×D7—21no—
841C22×D7C22×D412yes—
842C22×D7C2×#4112yes—
843C7×Q8—44no—
844C7×D4—44no—
845C7×D4—44no—
846C7×D4—44no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—28no—
858C2×C4×C7—28no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—21no—
872C2×C4×C7—21no—
873C2×C4×C7—21no—
874C2×C4×C7—21no—
875C2×C4×C7—21no—
876C2×C4×C7—21no—
877C2×C4×C7—44no—
878C2×C4×C7—44no—
879C2×C4×C7—44no—
880C2×C4×C7C22×D412yes—
881C2×C4×C7C22×D412yes—
882C2×C4×C7C2×#4112yes—
883C2×C4×C7C2×#4112yes—
884C2×C4×C7C2×#4112yes—
885C2×C4×C7C2×#4112yes—
886C2×C4×C7C2×#4112yes—
887C2×C4×C7H(5,𝔽2)12yes—
888C22⋊D7—28no—
889C22⋊D7—28no—
890C22⋊D7—44no—
891C22⋊D7—44no—
892C22⋊D7—44no—
893C22⋊D7—44no—
894C22⋊D7—44no—
895C22⋊D7—44no—
896C22⋊D7—44no—
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—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
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—44no—
929C2×Dic7—44no—
930C2×Dic7C22×D412yes—
931C2×Dic7C22×D412yes—
932C2×Dic7C22×D412yes—
933C2×Dic7C2×#4112yes—
934C2×Dic7C2×#4112yes—
935C2×Dic7C2×#4112yes—
936C2×Dic7C2×#4112yes—
937C2×Dic7C2×#4112yes—
938D28—44no—
939D28—44no—
940D28—44no—
941C4×D7—28no—
942C4×D7—44no—
943C4×D7—44no—
944C4×D7—44no—
945C4×D7—44no—
946C4×D7—44no—
947C4×D7—44no—
948Dic14—44no—
949Dic14—44no—
950C2×#41—24no—
951C2×#41—24no—
952C2×#41—42no—
953C2×#41—144no—
954C2×#41—144no—
955C2×#41—282no—
956C22×Q8—71no—
957C22×Q8—71no—
958C22×Q8C22×D711yescharacteristic
959C22×D4—71no—
960C22×D4—71no—
961C22×D4—71no—
962C22×D4—71no—
963C22×D4—71no—
964C22×D4—71no—
965C22×D4—71no—
966C22×D4—71no—
967C22×D4—71no—
968C22×D4—71no—
969C22×D4—71no—
970C22×D4—71no—
971C22×D4C22×D711yescharacteristic
972C22×D4C22×D711yescharacteristic
973C22×D4C22×D711yescharacteristic
974C23×C4—71no—
975C23×C4—71no—
976C23×C4—71no—
977C23×C4—71no—
978C23×C4—71no—
979C23×C4—71no—
980C23×C4—71no—
981C23×C4—71no—
982C23×C4—71no—
983C23×C4C22×D711yescharacteristic
984C23×C4C22×D711yescharacteristic
985C23×C4C22×D711yescharacteristic
986C23×C4C22×D711yescharacteristic
987C23×C4C22×D711yescharacteristic
988C4⋊Q8—144no—
989#127—144no—
990#126—144no—
991#126—144no—
992#125—144no—
993#124—144no—
994#124—144no—
995#124—144no—
996#124—144no—
997#123—144no—
998#123—144no—
999C22⋊Q8—144no—
1000C22⋊Q8—144no—
1001#121—144no—
1002#121—144no—
1003#121—144no—
1004#121—144no—
1005#121—144no—
1006#121—144no—
1007#121—144no—
1008#121—144no—
1009C4×Q8—144no—
1010C4×D4—78no—
1011C4×D4—144no—
1012C4×D4—144no—
1013C4×D4—144no—
1014C4×D4—144no—
1015C4×D4—144no—
1016C4×D4—144no—
1017C4×D4—144no—
1018C4×D4—144no—
1019C4×D4—144no—
1020C4×D4—144no—
1021C4×D4—282no—
1022C4×D4—282no—
1023#117—24no—
1024#117—144no—
1025C2×C4⋊C4—71no—
1026C2×C4⋊C4—71no—
1027C2×C4⋊C4—71no—
1028C2×C4⋊C4—71no—
1029C2×C4⋊C4—71no—
1030C2×C4⋊C4—71no—
1031C2×C4⋊C4—71no—
1032C2×C4⋊C4—71no—
1033C2×C4⋊C4—71no—
1034C2×C4⋊C4—71no—
1035C2×C4⋊C4—71no—
1036C2×C4⋊C4—71no—
1037C2×C4⋊C4—71no—
1038C2×C4⋊C4—71no—
1039C2×C4⋊C4—71no—
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⋊C4C22×D711yescharacteristic
1048C2×C4⋊C4C22×D711yescharacteristic
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊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⋊C4C22×D711yescharacteristic
1086C2×C22⋊C4C22×D711yescharacteristic
1087C2×C22⋊C4C22×D711yescharacteristic
1088C2×C22⋊C4C22×D711yescharacteristic
1089C2×C22⋊C4C22×D711yescharacteristic
1090C2×C22⋊C4C22×D711yescharacteristic
1091C2×C22⋊C4C22×D711yescharacteristic
1092C2×C22⋊C4C22×D711yescharacteristic
1093C2×C22⋊C4C22×D711yescharacteristic
1094C2×C22⋊C4C22×D711yescharacteristic
1095C2×C42—42no—
1096C2×C42—71no—
1097C2×C42—71no—
1098C2×C42—71no—
1099C2×C42—71no—
1100C2×C42—71no—
1101C2×C42—71no—
1102C2×C42—71no—
1103C2×C42—71no—
1104C2×C42—71no—
1105C2×C42—71no—
1106C2×C42—71no—
1107C2×C42—71no—
1108C2×C42—71no—
1109C2×C42—71no—
1110C2×C42—71no—
1111C2×C42—144no—
1112C2×C42—144no—
1113C2×C42—282no—
1114C2×C42C22×D711yescharacteristic
1115C2×C42C22×D711yescharacteristic
1116C2×C42C22×D711yescharacteristic
1117C2×C42C22×D711yescharacteristic
1118C2×C42C22×D711yescharacteristic
1119C2×C42C22×D711yescharacteristic
1120#95—71no—
1121#95—71no—
1122#95—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#95C22×D711yescharacteristic
1145#95C22×D711yescharacteristic
1146#95C22×D711yescharacteristic
1147#95C22×D711yescharacteristic
1148#95C22×D711yescharacteristic
1149#95C22×D711yescharacteristic
1150#95C22×D711yescharacteristic
1151#95C22×D711yescharacteristic
1152C22×C7—22no—
1153C22×C7—22no—
1154C22×C7—22no—
1155C22×C7—22no—
1156C22×C7—22no—
1157C22×C7—22no—
1158C22×C7—41no—
1159C22×C7—41no—
1160C22×C7—41no—
1161C22×C7—41no—
1162C22×C7—41no—
1163C22×C7—41no—
1164C22×C7—41no—
1165C22×C7—41no—
1166C22×C7—41no—
1167C22×C7—41no—
1168C22×C7—41no—
1169C22×C7—41no—
1170C22×C7—41no—
1171C22×C7—41no—
1172C22×C7—41no—
1173C22×C7C23×D411yescharacteristic
1174C22×C7C22×#4111yescharacteristic
1175C22×C7C22×#4111yescharacteristic
1176C22×C7C22×#4111yescharacteristic
1177C22×C7C22×#4111yescharacteristic
1178C22×C7C2×H(5,𝔽2)11yescharacteristic
1179C22×C7#58511yescharacteristic
1180C2×D7—22no—
1181C2×D7—22no—
1182C2×D7—22no—
1183C2×D7—22no—
1184C2×D7—22no—
1185C2×D7—22no—
1186C2×D7—41no—
1187C2×D7—41no—
1188C2×D7—41no—
1189C2×D7—41no—
1190C2×D7—41no—
1191C2×D7—41no—
1192C2×D7—41no—
1193C2×D7—41no—
1194C2×D7—41no—
1195C2×D7—41no—
1196C2×D7—41no—
1197C2×D7—41no—
1198C2×D7—41no—
1199C2×D7—41no—
1200C2×D7—41no—
1201C4×C7—22no—
1202C4×C7—22no—
1203C4×C7—22no—
1204C4×C7—22no—
1205C4×C7—22no—
1206C4×C7—41no—
1207C4×C7—41no—
1208C4×C7—41no—
1209C4×C7—41no—
1210C4×C7—41no—
1211C4×C7—41no—
1212C4×C7#54614yes—
1213Dic7—22no—
1214Dic7—22no—
1215Dic7—22no—
1216Dic7—22no—
1217Dic7—22no—
1218Dic7—41no—
1219Dic7—41no—
1220Dic7—41no—
1221Dic7—41no—
1222Dic7—41no—
1223Dic7—41no—
1224Dic7—41no—
1225Dic7#53214yes—
1226C24—71no—
1227C24—71no—
1228C24—71no—
1229C24C23×D711yescharacteristic
1230C24C23×D711yescharacteristic
1231C24C23×D711yescharacteristic
1232#41—416no—
1233#41—2816no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—41no—
1237C2×Q8—142no—
1238C2×Q8—142no—
1239C2×Q8—142no—
1240C2×Q8—142no—
1241C2×Q8—142no—
1242C2×Q8—281no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—74no—
1253C2×D4—142no—
1254C2×D4—142no—
1255C2×D4—142no—
1256C2×D4—142no—
1257C2×D4—142no—
1258C2×D4—142no—
1259C2×D4—142no—
1260C2×D4—142no—
1261C2×D4—142no—
1262C2×D4—142no—
1263C2×D4—142no—
1264C2×D4—142no—
1265C2×D4—142no—
1266C2×D4—142no—
1267C2×D4—142no—
1268C2×D4—142no—
1269C2×D4—142no—
1270C2×D4—142no—
1271C2×D4—142no—
1272C2×D4—142no—
1273C2×D4—142no—
1274C2×D4—142no—
1275C2×D4—142no—
1276C2×D4—142no—
1277C2×D4—142no—
1278C2×D4—142no—
1279C2×D4—281no—
1280C2×D4—281no—
1281C2×D4—281no—
1282C2×D4—281no—
1283C2×D4—281no—
1284C2×D4—281no—
1285C2×D4—281no—
1286C2×D4—281no—
1287C2×D4—281no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—71no—
1302C22×C4—71no—
1303C22×C4—71no—
1304C22×C4—71no—
1305C22×C4—71no—
1306C22×C4—71no—
1307C22×C4—74no—
1308C22×C4—71no—
1309C22×C4—71no—
1310C22×C4—71no—
1311C22×C4—71no—
1312C22×C4—71no—
1313C22×C4—71no—
1314C22×C4—71no—
1315C22×C4—142no—
1316C22×C4—142no—
1317C22×C4—142no—
1318C22×C4—142no—
1319C22×C4—142no—
1320C22×C4—142no—
1321C22×C4—142no—
1322C22×C4—142no—
1323C22×C4—142no—
1324C22×C4—142no—
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—281no—
1337C22×C4—281no—
1338C22×C4—281no—
1339C22×C4—281no—
1340C22×C4—281no—
1341C22×C4#115714yes—
1342C22×C4D4×D714yes—
1343C22×C4C23×D711yescharacteristic
1344C22×C4C23×D711yescharacteristic
1345C22×C4C23×D711yescharacteristic
1346C22×C4C23×D711yescharacteristic
1347C22×C4C23×D711yescharacteristic
1348C22×C4C23×D711yescharacteristic
1349C22×C4C23×D711yescharacteristic
1350C22×C4C23×D711yescharacteristic
1351C22×C4C23×D711yescharacteristic
1352C22×C4C23×D711yescharacteristic
1353C22×C4C23×D711yescharacteristic
1354C22×C4C23×D711yescharacteristic
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—74no—
1358C4⋊C4—74no—
1359C4⋊C4—142no—
1360C4⋊C4—142no—
1361C4⋊C4—142no—
1362C4⋊C4—142no—
1363C4⋊C4—142no—
1364C4⋊C4—142no—
1365C4⋊C4—142no—
1366C4⋊C4—142no—
1367C4⋊C4—142no—
1368C4⋊C4—142no—
1369C4⋊C4—142no—
1370C4⋊C4—142no—
1371C4⋊C4—142no—
1372C4⋊C4—142no—
1373C4⋊C4—142no—
1374C4⋊C4—142no—
1375C4⋊C4—142no—
1376C4⋊C4—142no—
1377C4⋊C4—281no—
1378C4⋊C4—281no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—74no—
1390C22⋊C4—74no—
1391C22⋊C4—74no—
1392C22⋊C4—142no—
1393C22⋊C4—142no—
1394C22⋊C4—142no—
1395C22⋊C4—142no—
1396C22⋊C4—142no—
1397C22⋊C4—142no—
1398C22⋊C4—142no—
1399C22⋊C4—142no—
1400C22⋊C4—142no—
1401C22⋊C4—142no—
1402C22⋊C4—142no—
1403C22⋊C4—142no—
1404C22⋊C4—142no—
1405C22⋊C4—142no—
1406C22⋊C4—142no—
1407C22⋊C4—142no—
1408C22⋊C4—142no—
1409C22⋊C4—142no—
1410C22⋊C4—142no—
1411C22⋊C4—142no—
1412C22⋊C4—142no—
1413C22⋊C4—142no—
1414C22⋊C4—142no—
1415C22⋊C4—142no—
1416C22⋊C4—142no—
1417C22⋊C4—281no—
1418C22⋊C4—281no—
1419C22⋊C4—281no—
1420C22⋊C4—281no—
1421C22⋊C4—281no—
1422C22⋊C4—281no—
1423C22⋊C4—281no—
1424C22⋊C4—281no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—41no—
1430C42—41no—
1431C42—74no—
1432C42—74no—
1433C42—142no—
1434C42—142no—
1435C42—142no—
1436C42—142no—
1437C42—142no—
1438C42—142no—
1439C42—142no—
1440C42—142no—
1441C42—142no—
1442C42—142no—
1443C42—281no—
1444C42—281no—
1445C42—281no—
1446C2×C7—42no—
1447C2×C7—42no—
1448C2×C7—81no—
1449C2×C7C2×#53211yescharacteristic
1450C2×C7#344411yescharacteristic
1451C2×C7#346011yescharacteristic
1452C2×C7C2×#54611yescharacteristic
1453C2×C7D4×#4111yescharacteristic
1454C2×C7#348011yescharacteristic
1455C2×C7#348111yescharacteristic
1456D7—42no—
1457D7—42no—
1458D7—81no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—72no—
1479C23—72no—
1480C23—141no—
1481C23—141no—
1482C23—141no—
1483C23—141no—
1484C23—141no—
1485C23—141no—
1486C23—141no—
1487C23—141no—
1488C23—141no—
1489C23—141no—
1490C23—141no—
1491C23—141no—
1492C23—141no—
1493C23—141no—
1494C23—141no—
1495C23—141no—
1496C23—141no—
1497C23—141no—
1498C23—141no—
1499C23C2×#115712yes—
1500C23C2×D4×D712yes—
1501C23C24×D711yescharacteristic
1502Q8—44no—
1503Q8—284no—
1504Q8—284no—
1505D4—44no—
1506D4—44no—
1507D4—44no—
1508D4—148no—
1509D4—148no—
1510D4—284no—
1511D4—284no—
1512D4—284no—
1513D4—284no—
1514D4—284no—
1515D4—284no—
1516D4—284no—
1517D4—284no—
1518D4—284no—
1519D4—284no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—28no—
1531C2×C4—28no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—72no—
1554C2×C4—72no—
1555C2×C4—72no—
1556C2×C4—72no—
1557C2×C4—72no—
1558C2×C4—72no—
1559C2×C4—72no—
1560C2×C4—72no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
1564C2×C4—141no—
1565C2×C4—141no—
1566C2×C4—141no—
1567C2×C4—141no—
1568C2×C4—141no—
1569C2×C4—141no—
1570C2×C4—141no—
1571C2×C4—148no—
1572C2×C4—141no—
1573C2×C4—141no—
1574C2×C4—141no—
1575C2×C4—141no—
1576C2×C4—141no—
1577C2×C4—141no—
1578C2×C4—141no—
1579C2×C4—141no—
1580C2×C4—141no—
1581C2×C4—141no—
1582C2×C4—141no—
1583C2×C4—141no—
1584C2×C4—141no—
1585C2×C4—141no—
1586C2×C4—141no—
1587C2×C4—141no—
1588C2×C4—141no—
1589C2×C4—141no—
1590C2×C4—141no—
1591C2×C4—141no—
1592C2×C4—141no—
1593C2×C4—284no—
1594C2×C4—284no—
1595C2×C4—284no—
1596C2×C4—284no—
1597C2×C4—284no—
1598C2×C4—284no—
1599C2×C4—284no—
1600C2×C4—284no—
1601C2×C4C2×#115712yes—
1602C2×C4C2×#115712yes—
1603C2×C4C2×D4×D712yes—
1604C2×C4C2×D4×D712yes—
1605C2×C4#654812yes—
1606C2×C4D7×#4112yes—
1607C2×C4D7×#4112yes—
1608C2×C4D7×#4112yes—
1609C7#3488911yescharacteristic, complemented, Sylow
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—142no—
1632C22—142no—
1633C22—142no—
1634C22—142no—
1635C22—142no—
1636C22—142no—
1637C22—281no—
1638C22—281no—
1639C22—281no—
1640C22—281no—
1641C22—281no—
1642C22—281no—
1643C22—281no—
1644C22—281no—
1645C22—281no—
1646C22—281no—
1647C22—281no—
1648C22—281no—
1649C22—281no—
1650C22—281no—
1651C22—281no—
1652C22C22×#115711yescharacteristic
1653C22C22×D4×D711yescharacteristic
1654C22C2×#654811yescharacteristic
1655C22C2×D7×#4111yescharacteristic
1656C22C2×D7×#4111yescharacteristic
1657C22C2×D7×#4111yescharacteristic
1658C22#9061611yescharacteristic
1659C4—22no—
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—22no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—74no—
1671C4—142no—
1672C4—142no—
1673C4—142no—
1674C4—142no—
1675C4—142no—
1676C4—281no—
1677C4—281no—
1678C4—281no—
1679C4—281no—
1680C4—281no—
1681C4—281no—
1682C4—281no—
1683C4#9018114yes—
1684C2—42no—
1685C2—42no—
1686C2—81no—
1687C2—282no—
1688C2—282no—
1689C2—561no—
1690C2C2×#9018111yescharacteristic
1691C2#1174289311yescharacteristic
1692C2#1174290411yescharacteristic
1693C2#1174308811yescharacteristic
1694C2#1174310611yescharacteristic
1695C2D7×#53211yescharacteristic
1696C2#1174330611yescharacteristic
subgroupG/H
centerC22×C4C23×D7
commutator, socle, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC7×#2297C2
hypercenter#2297D7
hypocenterC7#34889
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ #2297

Complements

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

NH ≅ G/Ntype
1. C2×#90523C2semidirect
2. C2×#90219C2semidirect
3. C7×#2297C2semidirect
4. #11741540C2semidirect
5. #11739719C2semidirect
6. C4×#6493C2semidirect
7. C42×C22⋊D7C2semidirect
8. #11734080C2semidirect
9. #11733984C2semidirect
10. #11733982C2semidirect
11. #11733962C2semidirect
12. #11733892C2semidirect
13. #11733804C2semidirect
14. #11733792C2semidirect
15. #11733778C2semidirect
16. #11732205C2semidirect
17. #11732204C2semidirect
18. #11732198C2semidirect
19. #11732196C2semidirect
20. #11732193C2semidirect
21. #11732164C2semidirect
22. #11732143C2semidirect
23. #11732142C2semidirect
24. #11731027C2semidirect
25. #11731025C2semidirect
26. C4×#6447C2semidirect
27. C4×#6447C2semidirect
28. #11731008C2semidirect
29. C4×#6448C2semidirect
30. C4×#6441C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
278. C4×C22⋊D7D4semidirect
420. #2297D7semidirect
605. (C2×D7)⋊C4#41semidirect
627. Dic7⋊C4#41semidirect
642. C4×Dic7#41semidirect
1609. C7#34889semidirect

Maximal subgroups

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

subgroupindex
C2×#905232
C2×#902192
C7×#22972
#117415402
#117397192
C4×#64932
C42×C22⋊D72
#117340802
#117339842
#117339822
#117339622
#117338922
#117338042
#117337922
#117337782
#117322052
#117322042
#117321982
#117321962
#117321932
#117321642
#117321432
#117321422
#117310272
#117310252
C4×#64472
#117310082
C4×#64482
C4×#64412
C4×(C22⋊D7)⋊C42
#348897