Finite Group Databasebeta

← #13560839

Subgroups — #13560839

Order 1792.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90329C211yesmaximal, characteristic, complemented
2C2×#90318C211yesmaximal, characteristic, complemented
3C7×#2683C211yesmaximal, characteristic, complemented
4#11740279C211yesmaximal, characteristic, complemented
5#11740274C211yesmaximal, characteristic, complemented
6#11740274C211yesmaximal, characteristic, complemented
7#11740273C211yesmaximal, characteristic, complemented
8#11740257C211yesmaximal, characteristic, complemented
9#11740247C211yesmaximal, characteristic, complemented
10#11734882C211yesmaximal, characteristic, complemented
11#11734879C211yesmaximal, characteristic, complemented
12#11734877C211yesmaximal, characteristic, complemented
13#11734867C211yesmaximal, characteristic, complemented
14#11734800C211yesmaximal, characteristic, complemented
15#11734778C211yesmaximal, characteristic, complemented
16#11734773C211yesmaximal, characteristic, complemented
17#11734765C211yesmaximal, characteristic, complemented
18#11734711C211yesmaximal, characteristic, complemented
19#11734707C211yesmaximal, characteristic, complemented
20#11734694C211yesmaximal, characteristic, complemented
21#11734651C211yesmaximal, characteristic, complemented
22#11733907C211yesmaximal, characteristic, complemented
23#11733816C211yesmaximal, characteristic, complemented
24#11733710C211yesmaximal, characteristic, complemented
25#11733559C211yesmaximal, characteristic, complemented
26#11733545C211yesmaximal, characteristic, complemented
27#11733414C211yesmaximal, characteristic, complemented
28#11732381C211yesmaximal, characteristic, complemented
29#11732362C211yesmaximal, characteristic, complemented
30#11732348C211yesmaximal, characteristic, complemented
31#11732258C211yesmaximal, characteristic, complemented
32C22×#1161C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×C22⋊Q8C2211yescharacteristic
35C2×C7×C22⋊Q8C2211yescharacteristic
36C2×C7×C22⋊Q8C2211yescharacteristic, complemented
37C2×C7×C22⋊Q8C2211yescharacteristic, complemented
38C2×#6509C2211yescharacteristic
39C2×#6509C2211yescharacteristic
40C2×#6509C2211yescharacteristic
41C2×#6509C2211yescharacteristic, complemented
42C2×#6500C2211yescharacteristic
43C2×#6493C2211yescharacteristic
44C2×#6493C2211yescharacteristic
45C2×#6492C2211yescharacteristic
46C2×C4×C22⋊D7C2211yescharacteristic, complemented
47#90329—28no—
48#90318—28no—
49C2×#6461C2211yescharacteristic
50C2×#6458C2211yescharacteristic
51C2×#6457C2211yescharacteristic
52C2×#6457C2211yescharacteristic
53C2×#6457C2211yescharacteristic
54C2×#6457C2211yescharacteristic
55C2×#6457C2211yescharacteristic, complemented
56C2×#6456C2211yescharacteristic
57C2×#6456C2211yescharacteristic
58C2×#6455C2211yescharacteristic
59C2×D7×C4⋊C4C2211yescharacteristic, complemented
60C2×#6452C2211yescharacteristic, complemented
61C2×#6452C2211yescharacteristic, complemented
62C2×#6447C2211yescharacteristic
63C2×#6446C2211yescharacteristic
64C2×#6446C2211yescharacteristic
65C2×#6446C2211yescharacteristic, complemented
66C2×#6445C2211yescharacteristic
67C2×#6445C2211yescharacteristic
68C2×(C22⋊D7)⋊C4C2211yescharacteristic
69C2×(C22⋊D7)⋊C4C2211yescharacteristic
70C2×#6442C2211yescharacteristic, complemented
71C7×#396C2211yescharacteristic
72C7×#396C2211yescharacteristic
73C7×#396C2211yescharacteristic, complemented
74C7×#396C2211yescharacteristic, complemented
75C7×#395C2211yescharacteristic, complemented
76C7×#395C2211yescharacteristic, complemented
77C7×#390C2211yescharacteristic
78C7×#389C2211yescharacteristic, complemented
79C7×#389C2211yescharacteristic, complemented
80C7×#386C2211yescharacteristic
81C7×#386C2211yescharacteristic
82#90003C2211yescharacteristic, complemented
83#90002C2211yescharacteristic, complemented
84#90001C2211yescharacteristic, complemented
85#89995C2211yescharacteristic
86#89995C2211yescharacteristic
87#89992C2211yescharacteristic
88#89984C2211yescharacteristic
89#89982C2211yescharacteristic
90#89982C2211yescharacteristic, complemented
91#89766C2211yescharacteristic
92#89766C2211yescharacteristic, complemented
93#89766C2211yescharacteristic, complemented
94#89766C2211yescharacteristic, complemented
95#89765C2211yescharacteristic
96#89765C2211yescharacteristic
97#89764C2211yescharacteristic
98#89763C2211yescharacteristic
99#89763C2211yescharacteristic
100#89763C2211yescharacteristic
101#89763C2211yescharacteristic, complemented
102#89762C2211yescharacteristic
103#89762C2211yescharacteristic
104#89762C2211yescharacteristic, complemented
105#89761C2211yescharacteristic
106#89761C2211yescharacteristic
107#89761C2211yescharacteristic
108#89761C2211yescharacteristic
109#89761C2211yescharacteristic, complemented
110#89761C2211yescharacteristic, complemented
111#89761C2211yescharacteristic, complemented
112#89760C2211yescharacteristic
113#89760C2211yescharacteristic
114#89759C2211yescharacteristic
115#89759C2211yescharacteristic
116#89759C2211yescharacteristic, complemented
117#89757C2211yescharacteristic, complemented
118#89757C2211yescharacteristic, complemented
119#89756C2211yescharacteristic, complemented
120#89756C2211yescharacteristic, complemented
121#89756C2211yescharacteristic, complemented
122#89756C2211yescharacteristic, complemented
123#89756C2211yescharacteristic, complemented
124#89755C2211yescharacteristic, complemented
125#89755C2211yescharacteristic, complemented
126#89753C2211yescharacteristic, complemented
127#89748C2211yescharacteristic, complemented
128C4⋊C4×Dic7C2211yescharacteristic, complemented
129#89744C2211yescharacteristic, complemented
130#89733C2211yescharacteristic
131#89733C2211yescharacteristic
132#89733C2211yescharacteristic
133#89733C2211yescharacteristic, complemented
134#89732C2211yescharacteristic
135#89732C2211yescharacteristic
136#89732C2211yescharacteristic, complemented
137#89731C2211yescharacteristic
138#89731C2211yescharacteristic, complemented
139#89729C2211yescharacteristic
140#89729C2211yescharacteristic
141#89729C2211yescharacteristic
142#89729C2211yescharacteristic, complemented
143#89728C2211yescharacteristic
144#89728C2211yescharacteristic
145#89728C2211yescharacteristic
146#89728C2211yescharacteristic
147#89728C2211yescharacteristic, complemented
148#89727C2211yescharacteristic
149#89727C2211yescharacteristic
150#89727C2211yescharacteristic
151#89724C2211yescharacteristic, complemented
152#89723C2211yescharacteristic, complemented
153#89723C2211yescharacteristic, complemented
154#89722C2211yescharacteristic
155#89720C2211yescharacteristic
156#89720C2211yescharacteristic
157#89718C2211yescharacteristic
158#89718C2211yescharacteristic
159#89717C2211yescharacteristic
160#89716C2211yescharacteristic
161#89712C2211yescharacteristic
162#89712C2211yescharacteristic, complemented
163#89711C2211yescharacteristic
164#89704C2211yescharacteristic, complemented
165#89447C2211yescharacteristic
166#89447C2211yescharacteristic, complemented
167#89446C2211yescharacteristic
168#89446C2211yescharacteristic, complemented
169#89444C2211yescharacteristic
170#89444C2211yescharacteristic
171#89444C2211yescharacteristic
172#89442C2211yescharacteristic
173#89442C2211yescharacteristic
174#89442C2211yescharacteristic, complemented
175#89440C2211yescharacteristic
176#89440C2211yescharacteristic
177#89440C2211yescharacteristic, complemented
178#89440C2211yescharacteristic, complemented
179#89437C2211yescharacteristic
180#89437C2211yescharacteristic, complemented
181#89436C2211yescharacteristic
182#89436C2211yescharacteristic
183#89436C2211yescharacteristic, complemented
184#89432C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89424C2211yescharacteristic, complemented
187#89424C2211yescharacteristic, complemented
188#89422C2211yescharacteristic, complemented
189#36723—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×Q8C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C2×#1161—24no—
204C2×#1161—42no—
205C2×#1161—42no—
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×D28C2311yescharacteristic
209C22×D28C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×C4×D7—24no—
212C22×C4×D7—42no—
213C22×C4×D7—42no—
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C7×C22⋊Q8—24no—
223C7×C22⋊Q8—24no—
224C7×C22⋊Q8—42no—
225C7×C22⋊Q8—42no—
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C4⋊C4C2311yescharacteristic
235C2×C7×C4⋊C4C2311yescharacteristic
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C4⋊C4C2311yescharacteristic
238C2×C7×C4⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C42×C7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258#6509—24no—
259#6509—24no—
260#6509—24no—
261#6509—42no—
262#6500—42no—
263#6493—24no—
264#6493—42no—
265#6492—24no—
266C4×C22⋊D7—24no—
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
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×(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×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×C4⋊Dic7C2311yescharacteristic
307C2×C4⋊Dic7C2311yescharacteristic
308C2×C4⋊Dic7C2311yescharacteristic
309C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
325C2×Dic7⋊C4C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332#6461—24no—
333#6458—24no—
334#6457—24no—
335#6457—24no—
336#6457—24no—
337#6457—42no—
338#6457—42no—
339#6456—24no—
340#6456D418yescomplemented
341#6455—24no—
342D7×C4⋊C4—24no—
343#6452—24no—
344#6452—24no—
345#6447—24no—
346#6446—24no—
347#6446—24no—
348#6446—42no—
349#6445—24no—
350#6445—24no—
351(C22⋊D7)⋊C4—24no—
352(C22⋊D7)⋊C4—24no—
353#6442—24no—
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
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#539—71no—
387C2×#525—71no—
388#2849—71no—
389#2848—71no—
390#2707—71no—
391#2706—71no—
392#2704—71no—
393#2703—71no—
394#2701—71no—
395#2698—71no—
396#2697—71no—
397#2685—71no—
398#2683D711yescharacteristic, complemented
399#2682—71no—
400#2681—71no—
401#2681—71no—
402#2680—71no—
403#2680—71no—
404#2678—71no—
405#2678—71no—
406#2638—71no—
407#2630—71no—
408#2611—71no—
409#2603—71no—
410#2601—71no—
411#2600—71no—
412#2579—71no—
413#2566—71no—
414#2407—71no—
415#2406—71no—
416#2319—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—41no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C2×C7×Q8—22no—
431C2×C7×Q8—22no—
432C2×C7×Q8—22no—
433C2×C7×Q8—41no—
434C2×C7×Q8—41no—
435C2×C7×Q8—41no—
436C2×C7×D4—22no—
437C2×C7×D4—41no—
438C2×C7×D4—41no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—22no—
442C22×C4×C7—41no—
443C22×C4×C7—41no—
444C22×C4×C7—41no—
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C2×C22⋊D7—22no—
459C2×C22⋊D7—22no—
460C2×C22⋊D7—22no—
461C2×C22⋊D7—22no—
462C2×C22⋊D7—22no—
463C2×C22⋊D7—22no—
464C2×C22⋊D7—22no—
465C2×C22⋊D7—41no—
466C2×C22⋊D7—41no—
467C2×C22⋊D7—41no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C2×C22⋊D7—41no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C22×Dic7—22no—
477C22×Dic7—41no—
478C22×Dic7—41no—
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491#1161—416no—
492C2×D28—22no—
493C2×D28—22no—
494C2×D28—22no—
495C2×D28—22no—
496C2×D28—22no—
497C2×D28—22no—
498C2×D28—22no—
499C2×D28—41no—
500C2×D28—41no—
501C2×D28—41no—
502C2×D28—41no—
503C2×D28—41no—
504C2×D28—41no—
505C2×D28—41no—
506C2×D28C2×D414yes—
507C2×C4×D7—22no—
508C2×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—22no—
512C2×C4×D7—22no—
513C2×C4×D7—22no—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—416no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7—41no—
523C2×C4×D7—41no—
524C2×C4×D7—41no—
525C2×C4×D7—41no—
526C2×C4×D7—41no—
527C2×C4×D7—41no—
528C2×C4×D7—41no—
529C2×C4×D7—41no—
530C2×C4×D7C2×D414yes—
531C2×C4×D7C2×D414yes—
532C7×C4⋊C4—22no—
533C7×C4⋊C4—22no—
534C7×C4⋊C4—22no—
535C7×C4⋊C4—22no—
536C7×C4⋊C4—22no—
537C7×C4⋊C4—22no—
538C7×C4⋊C4—41no—
539C7×C4⋊C4—41no—
540C7×C4⋊C4—41no—
541C7×C4⋊C4—41no—
542C7×C4⋊C4—41no—
543C7×C4⋊C4—41no—
544C7×C4⋊C4C2×D414yes—
545C7×C22⋊C4—22no—
546C7×C22⋊C4—22no—
547C7×C22⋊C4—22no—
548C7×C22⋊C4—22no—
549C7×C22⋊C4—22no—
550C7×C22⋊C4—41no—
551C7×C22⋊C4—41no—
552C7×C22⋊C4—41no—
553C7×C22⋊C4—41no—
554C7×C22⋊C4—41no—
555C42×C7—41no—
556C22⋊Dic7—22no—
557C22⋊Dic7—22no—
558C22⋊Dic7—22no—
559C22⋊Dic7—41no—
560C22⋊Dic7—41no—
561C22⋊Dic7—41no—
562C22⋊Dic7—41no—
563C22⋊Dic7—41no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
572(C2×D7)⋊C4—22no—
573(C2×D7)⋊C4—22no—
574(C2×D7)⋊C4—22no—
575(C2×D7)⋊C4—22no—
576(C2×D7)⋊C4—22no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4—41no—
582(C2×D7)⋊C4—41no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
588(C2×D7)⋊C4—41no—
589(C2×D7)⋊C4—41no—
590(C2×D7)⋊C4—41no—
591(C2×D7)⋊C4—41no—
592(C2×D7)⋊C4—41no—
593(C2×D7)⋊C4—41no—
594(C2×D7)⋊C4—41no—
595(C2×D7)⋊C4—41no—
596(C2×D7)⋊C4C2×D414yes—
597(C2×D7)⋊C4C2×D414yes—
598C4⋊Dic7—22no—
599C4⋊Dic7—22no—
600C4⋊Dic7—22no—
601C4⋊Dic7—22no—
602C4⋊Dic7—41no—
603C4⋊Dic7—41no—
604C4⋊Dic7—41no—
605C4⋊Dic7—41no—
606C4⋊Dic7—41no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4—22no—
614Dic7⋊C4—22no—
615Dic7⋊C4—22no—
616Dic7⋊C4—22no—
617Dic7⋊C4—22no—
618Dic7⋊C4—41no—
619Dic7⋊C4—41no—
620Dic7⋊C4—41no—
621Dic7⋊C4—41no—
622Dic7⋊C4—41no—
623C4×Dic7—22no—
624C4×Dic7—22no—
625C4×Dic7—41no—
626C4×Dic7—41no—
627C4×Dic7—41no—
628C4×Dic7C2×D414yes—
629C22×#41—71no—
630C24×C4—71no—
631#539—148no—
632C2×#126—71no—
633C2×#126—71no—
634C2×#125—71no—
635C2×#125—71no—
636#525—148no—
637C2×#123—71no—
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123—71no—
644C2×#123—71no—
645C2×#123—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×C22⋊Q8—71no—
649C2×C22⋊Q8—71no—
650C2×C22⋊Q8C2×D711yescharacteristic
651C2×C22⋊Q8C2×D711yescharacteristic
652C2×C22⋊Q8C2×D711yescharacteristic, complemented
653C2×C22⋊Q8C2×D711yescharacteristic, complemented
654C2×#121—71no—
655C2×#121—71no—
656C2×#121—71no—
657C2×#121—71no—
658C2×#120—71no—
659C2×#120—71no—
660C2×#120—71no—
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4—71no—
664C2×C4×D4—71no—
665C2×C4×D4—71no—
666C2×#117—71no—
667C22×C4⋊C4—71no—
668#400—71no—
669#399—71no—
670#398—71no—
671#398—71no—
672#398—71no—
673#398—71no—
674#398—71no—
675#398—71no—
676#398—71no—
677#397—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#397—71no—
683#397—71no—
684#396—71no—
685#396—71no—
686#396—71no—
687#396—71no—
688#396—71no—
689#396—71no—
690#396C2×D711yescharacteristic
691#396C2×D711yescharacteristic
692#396C2×D711yescharacteristic, complemented
693#396C2×D711yescharacteristic, complemented
694#395—71no—
695#395C2×D711yescharacteristic, complemented
696#395C2×D711yescharacteristic, complemented
697#394—71no—
698#394—71no—
699#394—71no—
700#394—71no—
701#394—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#393—71no—
711#392—71no—
712#392—71no—
713#392—71no—
714#392—71no—
715#392—71no—
716#391—71no—
717#390—71no—
718#390—71no—
719#390—71no—
720#390—71no—
721#390—71no—
722#390—71no—
723#390—71no—
724#390C2×D711yescharacteristic
725#389—71no—
726#389—71no—
727#389—71no—
728#389C2×D711yescharacteristic, complemented
729#389C2×D711yescharacteristic, complemented
730#388—71no—
731#388—71no—
732#388—71no—
733#388—71no—
734#388—71no—
735#388—71no—
736#388—71no—
737#388—71no—
738#388—71no—
739#388—71no—
740#388—71no—
741#388—71no—
742#387—71no—
743#387—71no—
744#387—71no—
745#387—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#386C2×D711yescharacteristic
755#386C2×D711yescharacteristic
756#385—71no—
757#385—71no—
758#385—71no—
759#385—71no—
760#385—71no—
761#385—71no—
762#385—71no—
763#385—71no—
764#385—71no—
765#385—71no—
766#385—71no—
767#385—71no—
768#385—71no—
769#385—71no—
770#385—71no—
771#385—71no—
772#384—71no—
773#382—71no—
774#381—71no—
775#381—71no—
776#381—71no—
777#380—71no—
778#380—71no—
779#380—71no—
780#380—71no—
781#379—71no—
782#379—71no—
783#379—71no—
784C4×C4⋊C4—71no—
785#376—71no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7—21no—
791C23×C7—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7—21no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C72−1+412yes—
800C23×C7C2511yescharacteristic
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—44no—
827C22×D7—44no—
828C22×D7—44no—
829C22×D7—44no—
830C22×D7—44no—
831C22×D7—44no—
832C22×D7—44no—
833C22×D7C22×D412yes—
834C22×D7C22×D412yes—
835C22×D7H(5,𝔽2)12yes—
836C7×Q8—44no—
837C7×Q8—82no—
838C7×D4—82no—
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—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—21no—
858C2×C4×C7—21no—
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—44no—
875C2×C4×C7—82no—
876C2×C4×C7C22×D412yes—
877C2×C4×C7C22×D412yes—
878C2×C4×C7C22×D412yes—
879C2×C4×C7H(5,𝔽2)12yes—
880C22⋊D7—44no—
881C22⋊D7—44no—
882C22⋊D7—44no—
883C22⋊D7—82no—
884C22⋊D7—82no—
885C22⋊D7—82no—
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—
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—44no—
921C2×Dic7C22×D412yes—
922C2×Dic7C22×D412yes—
923D28—44no—
924D28—44no—
925D28—44no—
926D28—44no—
927D28—44no—
928C4×D7—28no—
929C4×D7—44no—
930C4×D7—44no—
931C4×D7—44no—
932C4×D7—44no—
933C4×D7—44no—
934C4×D7—44no—
935C4×D7—82no—
936C25—71no—
937C2×#41—144no—
938C2×#41—282no—
939C2×#41—282no—
940C22×Q8C22×D711yescharacteristic
941C22×Q8C22×D711yescharacteristic
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4—71no—
947C22×D4—71no—
948C22×D4—71no—
949C22×D4—71no—
950C22×D4—71no—
951C22×D4—71no—
952C22×D4—71no—
953C22×D4C22×D711yescharacteristic
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4—71no—
958C23×C4—71no—
959C23×C4—71no—
960C23×C4—71no—
961C23×C4—71no—
962C23×C4—71no—
963C23×C4—144no—
964C23×C4—282no—
965C23×C4—282no—
966C23×C4C22×D711yescharacteristic
967C23×C4C22×D711yescharacteristic
968#126—144no—
969#126—144no—
970#125—144no—
971#125—144no—
972#123—144no—
973#123—144no—
974#123—144no—
975#123—144no—
976#123—144no—
977#123—144no—
978#123—282no—
979#123—282no—
980#123—282no—
981C22⋊Q8—24no—
982C22⋊Q8—24no—
983C22⋊Q8—42no—
984C22⋊Q8—42no—
985C22⋊Q8—144no—
986C22⋊Q8—144no—
987C22⋊Q8—144no—
988C22⋊Q8—282no—
989#121—144no—
990#121—144no—
991#121—144no—
992#121—282no—
993#120—144no—
994#120—144no—
995#120—282no—
996C4×D4—78no—
997C4×D4—144no—
998C4×D4—144no—
999C4×D4—144no—
1000C4×D4—144no—
1001#117—144no—
1002C2×C4⋊C4—71no—
1003C2×C4⋊C4—71no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4—71no—
1020C2×C4⋊C4—71no—
1021C2×C4⋊C4—71no—
1022C2×C4⋊C4—71no—
1023C2×C4⋊C4—71no—
1024C2×C4⋊C4—71no—
1025C2×C4⋊C4—71no—
1026C2×C4⋊C4—71no—
1027C2×C4⋊C4—144no—
1028C2×C4⋊C4C22×D711yescharacteristic
1029C2×C4⋊C4C22×D711yescharacteristic
1030C2×C4⋊C4C22×D711yescharacteristic
1031C2×C4⋊C4C22×D711yescharacteristic
1032C2×C4⋊C4C22×D711yescharacteristic
1033C2×C4⋊C4C22×D711yescharacteristic
1034C2×C4⋊C4C22×D711yescharacteristic
1035C2×C4⋊C4C22×D711yescharacteristic
1036C2×C4⋊C4C22×D711yescharacteristic
1037C2×C4⋊C4C22×D711yescharacteristic
1038C2×C4⋊C4C22×D711yescharacteristic
1039C2×C4⋊C4C22×D711yescharacteristic
1040C2×C4⋊C4C22×D711yescharacteristic
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
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⋊C4C22×D711yescharacteristic
1084C2×C22⋊C4C22×D711yescharacteristic
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×C42—71no—
1094C2×C42—71no—
1095C2×C42—71no—
1096C2×C42—71no—
1097C2×C42—71no—
1098C2×C42—71no—
1099C2×C42C22×D711yescharacteristic
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95—71no—
1108#95—71no—
1109#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95—71no—
1118#95—71no—
1119#95—71no—
1120#95—71no—
1121#95—71no—
1122#95—71no—
1123#95—71no—
1124#95—71no—
1125#95—71no—
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130#95C22×D711yescharacteristic
1131#95C22×D711yescharacteristic
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—22no—
1135C22×C7—41no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7—41no—
1139C22×C7—41no—
1140C22×C7—41no—
1141C22×C7—41no—
1142C22×C7—41no—
1143C22×C7—41no—
1144C22×C7—41no—
1145C22×C7—41no—
1146C22×C7C23×D411yescharacteristic
1147C22×C7C2×H(5,𝔽2)11yescharacteristic
1148C22×C7C2×H(5,𝔽2)11yescharacteristic
1149C22×C7C2×2−1+411yescharacteristic
1150C22×C7#58511yescharacteristic
1151C22×C7#58511yescharacteristic
1152C22×C7#58511yescharacteristic
1153C2×D7—22no—
1154C2×D7—22no—
1155C2×D7—22no—
1156C2×D7—22no—
1157C2×D7—22no—
1158C2×D7—22no—
1159C2×D7—22no—
1160C2×D7—22no—
1161C2×D7—22no—
1162C2×D7—416no—
1163C2×D7—41no—
1164C2×D7—41no—
1165C2×D7—41no—
1166C2×D7—41no—
1167C2×D7—41no—
1168C2×D7—41no—
1169C2×D7—41no—
1170C2×D7—41no—
1171C2×D7—41no—
1172C2×D7—41no—
1173C2×D7—41no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—41no—
1179C2×D7—41no—
1180C2×D7—41no—
1181C2×D7—41no—
1182C4×C7—22no—
1183C4×C7—22no—
1184C4×C7—22no—
1185C4×C7—22no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191C4×C7—41no—
1192C4×C7—41no—
1193C4×C7—41no—
1194C4×C7—41no—
1195Dic7—22no—
1196Dic7—22no—
1197Dic7—41no—
1198Dic7—41no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205Dic7—41no—
1206Dic7—41no—
1207C24—71no—
1208C24—71no—
1209C24—71no—
1210C24—71no—
1211C24—142no—
1212C24—142no—
1213C24—142no—
1214C24—281no—
1215C24—281no—
1216C24—281no—
1217C24—281no—
1218C24C23×D711yescharacteristic
1219C24C23×D711yescharacteristic
1220#41—2816no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—41no—
1225C2×Q8—41no—
1226C2×Q8—41no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—74no—
1231C2×D4—142no—
1232C2×D4—142no—
1233C2×D4—142no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—142no—
1237C2×D4—142no—
1238C2×D4—142no—
1239C2×D4—142no—
1240C2×D4—142no—
1241C2×D4—142no—
1242C2×D4—142no—
1243C2×D4—142no—
1244C2×D4—142no—
1245C2×D4—281no—
1246C2×D4—281no—
1247C2×D4—281no—
1248C2×D4—281no—
1249C2×D4—281no—
1250C2×D4—281no—
1251C2×D4—281no—
1252C2×D4—281no—
1253C2×D4—281no—
1254C2×D4—281no—
1255C2×D4—281no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C2×D4—281no—
1261C2×D4—281no—
1262C2×D4—281no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—71no—
1270C22×C4—71no—
1271C22×C4—74no—
1272C22×C4—74no—
1273C22×C4—71no—
1274C22×C4—71no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—71no—
1279C22×C4—71no—
1280C22×C4—71no—
1281C22×C4—71no—
1282C22×C4—71no—
1283C22×C4—142no—
1284C22×C4—142no—
1285C22×C4—142no—
1286C22×C4—142no—
1287C22×C4—142no—
1288C22×C4—142no—
1289C22×C4—142no—
1290C22×C4—142no—
1291C22×C4—142no—
1292C22×C4—142no—
1293C22×C4—142no—
1294C22×C4—281no—
1295C22×C4—281no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—281no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4—281no—
1304C22×C4—281no—
1305C22×C4—281no—
1306C22×C4—2816no—
1307C22×C4—281no—
1308C22×C4—281no—
1309C22×C4C23×D711yescharacteristic
1310C22×C4C23×D711yescharacteristic
1311C22×C4C23×D711yescharacteristic
1312C22×C4C23×D711yescharacteristic
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C22×C4C23×D711yescharacteristic
1319C22×C4C23×D711yescharacteristic
1320C22×C4C23×D711yescharacteristic
1321C22×C4C23×D711yescharacteristic
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—142no—
1335C4⋊C4—142no—
1336C4⋊C4—142no—
1337C4⋊C4—142no—
1338C4⋊C4—142no—
1339C4⋊C4—142no—
1340C4⋊C4—142no—
1341C4⋊C4—142no—
1342C4⋊C4—142no—
1343C4⋊C4—142no—
1344C4⋊C4—142no—
1345C4⋊C4—142no—
1346C4⋊C4—142no—
1347C4⋊C4—142no—
1348C4⋊C4—142no—
1349C4⋊C4—281no—
1350C4⋊C4—281no—
1351C4⋊C4—281no—
1352C4⋊C4—281no—
1353C4⋊C4—281no—
1354C4⋊C4—281no—
1355C4⋊C4—281no—
1356C4⋊C4—281no—
1357C4⋊C4—281no—
1358C4⋊C4—281no—
1359C4⋊C4D4×D714yes—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—74no—
1371C22⋊C4—74no—
1372C22⋊C4—142no—
1373C22⋊C4—142no—
1374C22⋊C4—142no—
1375C22⋊C4—142no—
1376C22⋊C4—142no—
1377C22⋊C4—142no—
1378C22⋊C4—142no—
1379C22⋊C4—142no—
1380C22⋊C4—142no—
1381C22⋊C4—142no—
1382C22⋊C4—142no—
1383C22⋊C4—142no—
1384C22⋊C4—142no—
1385C22⋊C4—142no—
1386C22⋊C4—142no—
1387C22⋊C4—142no—
1388C22⋊C4—281no—
1389C22⋊C4—281no—
1390C22⋊C4—281no—
1391C22⋊C4—281no—
1392C22⋊C4—281no—
1393C22⋊C4—281no—
1394C22⋊C4—281no—
1395C22⋊C4—281no—
1396C22⋊C4—281no—
1397C22⋊C4—281no—
1398C22⋊C4—281no—
1399C22⋊C4—281no—
1400C22⋊C4—281no—
1401C22⋊C4—281no—
1402C22⋊C4—281no—
1403C22⋊C4—281no—
1404C22⋊C4—281no—
1405C22⋊C4—281no—
1406C22⋊C4—281no—
1407C22⋊C4—281no—
1408C22⋊C4—281no—
1409C22⋊C4—281no—
1410C22⋊C4—281no—
1411C22⋊C4—281no—
1412C42—41no—
1413C42—74no—
1414C42—142no—
1415C42—142no—
1416C42—281no—
1417C42—281no—
1418C42—281no—
1419C2×C7—42no—
1420C2×C7—81no—
1421C2×C7#344911yescharacteristic
1422C2×C7#348411yescharacteristic
1423C2×C7#348911yescharacteristic
1424C2×C7#353311yescharacteristic
1425C2×C7#353511yescharacteristic
1426C2×C7#353911yescharacteristic
1427C2×C7#354111yescharacteristic
1428D7—42no—
1429D7—42no—
1430D7—42no—
1431D7—81no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—72no—
1446C23—72no—
1447C23—72no—
1448C23—141no—
1449C23—141no—
1450C23—141no—
1451C23—141no—
1452C23—141no—
1453C23—141no—
1454C23—141no—
1455C23—141no—
1456C23—141no—
1457C23—141no—
1458C23—141no—
1459C23—141no—
1460C23—141no—
1461C23—141no—
1462C23—141no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—141no—
1468C23—141no—
1469C23—141no—
1470C23—141no—
1471C23—141no—
1472C23—141no—
1473C23—284no—
1474C23—284no—
1475C23—284no—
1476C23—284no—
1477C23—284no—
1478C23—284no—
1479C23—284no—
1480C23#655112yes—
1481C23C24×D711yescharacteristic
1482Q8—44no—
1483Q8—82no—
1484D4—82no—
1485D4—284no—
1486D4—284no—
1487D4—284no—
1488D4—284no—
1489D4—284no—
1490D4—284no—
1491D4—284no—
1492D4—284no—
1493D4—562no—
1494D4—562no—
1495D4—562no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
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—21no—
1531C2×C4—44no—
1532C2×C4—72no—
1533C2×C4—72no—
1534C2×C4—82no—
1535C2×C4—148no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—141no—
1540C2×C4—141no—
1541C2×C4—141no—
1542C2×C4—141no—
1543C2×C4—141no—
1544C2×C4—141no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
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—284no—
1571C2×C4—284no—
1572C2×C4—284no—
1573C2×C4—284no—
1574C2×C4—284no—
1575C2×C4—284no—
1576C2×C4—284no—
1577C2×C4—562no—
1578C2×C4C2×D4×D712yes—
1579C2×C4C2×D4×D712yes—
1580C2×C4C2×D4×D712yes—
1581C2×C4#654812yes—
1582C7#3672311yescharacteristic, complemented, Sylow
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—142no—
1598C22—142no—
1599C22—142no—
1600C22—142no—
1601C22—142no—
1602C22—142no—
1603C22—142no—
1604C22—142no—
1605C22—142no—
1606C22—2816no—
1607C22—281no—
1608C22—281no—
1609C22—281no—
1610C22—281no—
1611C22—281no—
1612C22—281no—
1613C22—281no—
1614C22—281no—
1615C22—281no—
1616C22—281no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—281no—
1621C22—281no—
1622C22—281no—
1623C22—281no—
1624C22—281no—
1625C22—281no—
1626C22C22×D4×D711yescharacteristic
1627C22C2×#654811yescharacteristic
1628C22C2×#655111yescharacteristic
1629C22D7×H(5,𝔽2)11yescharacteristic
1630C22#9061811yescharacteristic
1631C22#9062011yescharacteristic
1632C22#9062011yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—142no—
1647C4—142no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C4—281no—
1655C4—281no—
1656C4—281no—
1657C4—281no—
1658C2—42no—
1659C2—81no—
1660C2—282no—
1661C2—282no—
1662C2—282no—
1663C2—561no—
1664C2#1174343111yescharacteristic
1665C2#1174343911yescharacteristic
1666C2#1174364811yescharacteristic
1667C2#1174368811yescharacteristic
1668C2#1174381311yescharacteristic
1669C2#1174382211yescharacteristic
1670C2#1174419611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2683C2
hypercenter#2683D7
hypocenterC7#36723
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2683

Complements

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

NH ≅ G/Ntype
1. C2×#90329C2semidirect
2. C2×#90318C2semidirect
3. C7×#2683C2semidirect
4. #11740279C2semidirect
5. #11740274C2semidirect
6. #11740274C2semidirect
7. #11740273C2semidirect
8. #11740257C2semidirect
9. #11740247C2semidirect
10. #11734882C2semidirect
11. #11734879C2semidirect
12. #11734877C2semidirect
13. #11734867C2semidirect
14. #11734800C2semidirect
15. #11734778C2semidirect
16. #11734773C2semidirect
17. #11734765C2semidirect
18. #11734711C2semidirect
19. #11734707C2semidirect
20. #11734694C2semidirect
21. #11734651C2semidirect
22. #11733907C2semidirect
23. #11733816C2semidirect
24. #11733710C2semidirect
25. #11733559C2semidirect
26. #11733545C2semidirect
27. #11733414C2semidirect
28. #11732381C2semidirect
29. #11732362C2semidirect
30. #11732348C2semidirect
31. #11732258C2semidirect
36. C2×C7×C22⋊Q8C22semidirect
37. C2×C7×C22⋊Q8C22semidirect
41. C2×#6509C22semidirect
46. C2×C4×C22⋊D7C22semidirect
55. C2×#6457C22semidirect
59. C2×D7×C4⋊C4C22semidirect
60. C2×#6452C22semidirect
61. C2×#6452C22semidirect
65. C2×#6446C22semidirect
70. C2×#6442C22semidirect
73. C7×#396C22semidirect
74. C7×#396C22semidirect
75. C7×#395C22semidirect
76. C7×#395C22semidirect
78. C7×#389C22semidirect
79. C7×#389C22semidirect
82. #90003C22semidirect
83. #90002C22semidirect
84. #90001C22semidirect
90. #89982C22semidirect
92. #89766C22semidirect
93. #89766C22semidirect
94. #89766C22semidirect
101. #89763C22semidirect
104. #89762C22semidirect
109. #89761C22semidirect
110. #89761C22semidirect
111. #89761C22semidirect
116. #89759C22semidirect
117. #89757C22semidirect
118. #89757C22semidirect
119. #89756C22semidirect
120. #89756C22semidirect
121. #89756C22semidirect
122. #89756C22semidirect
123. #89756C22semidirect
124. #89755C22semidirect
125. #89755C22semidirect
126. #89753C22semidirect
127. #89748C22semidirect
128. C4⋊C4×Dic7C22semidirect
129. #89744C22semidirect
133. #89733C22semidirect
136. #89732C22semidirect
138. #89731C22semidirect
142. #89729C22semidirect
147. #89728C22semidirect
151. #89724C22semidirect
152. #89723C22semidirect
153. #89723C22semidirect
162. #89712C22semidirect
164. #89704C22semidirect
166. #89447C22semidirect
168. #89446C22semidirect
174. #89442C22semidirect
177. #89440C22semidirect
178. #89440C22semidirect
180. #89437C22semidirect
183. #89436C22semidirect
184. #89432C22semidirect
185. #89425C22semidirect
186. #89424C22semidirect
187. #89424C22semidirect
188. #89422C22semidirect
340. #6456D4semidirect
398. #2683D7semidirect
652. C2×C22⋊Q8C2×D7semidirect
653. C2×C22⋊Q8C2×D7semidirect
692. #396C2×D7semidirect
693. #396C2×D7semidirect
695. #395C2×D7semidirect
696. #395C2×D7semidirect
728. #389C2×D7semidirect
729. #389C2×D7semidirect
1582. C7#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#903292
C2×#903182
C7×#26832
#117402792
#117402742
#117402732
#117402572
#117402472
#117348822
#117348792
#117348772
#117348672
#117348002
#117347782
#117347732
#117347652
#117347112
#117347072
#117346942
#117346512
#117339072
#117338162
#117337102
#117335592
#117335452
#117334142
#117323812
#117323622
#117323482
#117322582
#367237