Finite Group Databasebeta

← #13522594

Subgroups — #13522594

Order 1792.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90340C211yesmaximal, characteristic, complemented
2C22×#6440C211yesmaximal, characteristic, complemented
3C7×#2418C211yesmaximal, characteristic, complemented
4#11740299C211yesmaximal, characteristic, complemented
5#11740032C211yesmaximal, characteristic
6Dic7×#120C211yesmaximal, characteristic, complemented
7#11739801C211yesmaximal, characteristic, complemented
8C4×D4×Dic7C211yesmaximal, characteristic, complemented
9#11739556C211yesmaximal, characteristic, complemented
10#11735473C211yesmaximal, characteristic, complemented
11#11735463C211yesmaximal, characteristic, complemented
12#11734924C211yesmaximal, characteristic, complemented
13#11734904C211yesmaximal, characteristic, complemented
14#11734376C211yesmaximal, characteristic, complemented
15#11734373C211yesmaximal, characteristic, complemented
16#11734337C211yesmaximal, characteristic, complemented
17#11734335C211yesmaximal, characteristic, complemented
18#11732978C211yesmaximal, characteristic, complemented
19#11732974C211yesmaximal, characteristic, complemented
20#11732896C211yesmaximal, characteristic, complemented
21#11732895C211yesmaximal, characteristic, complemented
22#11732169C211yesmaximal, characteristic, complemented
23#11732154C211yesmaximal, characteristic, complemented
24#11732105C211yesmaximal, characteristic, complemented
25#11732102C211yesmaximal, characteristic, complemented
26#11731885C211yesmaximal, characteristic, complemented
27#11731822C211yesmaximal, characteristic, complemented
28#11731355C211yesmaximal, characteristic, complemented
29#11731311C211yesmaximal, characteristic, complemented
30#11731276C211yesmaximal, characteristic, complemented
31#11731263C211yesmaximal, characteristic, complemented
32C24×Dic7C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic
34C2×C7×#120C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic
36C22×C7×C22⋊C4C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C22×C22⋊Dic7C2211yescharacteristic
39C2×#6502C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×D4×Dic7C2211yescharacteristic
42C2×D4×Dic7C2211yescharacteristic
43C2×D4×Dic7C2211yescharacteristic
44C2×D4×Dic7C2211yescharacteristic
45C2×#6492C2211yescharacteristic, complemented
46C2×#6487C2211yescharacteristic
47C22×Dic7⋊C4C2211yescharacteristic
48C22×Dic7⋊C4C2211yescharacteristic
49C22×C4×Dic7C2211yescharacteristic
50C22×C4×Dic7C2211yescharacteristic
51C22×C4×Dic7C2211yescharacteristic, complemented
52#90340—28no—
53C2×#6461C2211yescharacteristic, complemented
54C2×#6455C2211yescharacteristic, complemented
55C2×#6452C2211yescharacteristic, complemented
56C2×#6450C2211yescharacteristic, complemented
57C2×#6448C2211yescharacteristic
58C2×(C22⋊D7)⋊C4C2211yescharacteristic
59C2×(C22⋊D7)⋊C4C2211yescharacteristic
60C2×(C22⋊D7)⋊C4C2211yescharacteristic
61C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
62C2×#6442C2211yescharacteristic
63C2×#6441C2211yescharacteristic, complemented
64C2×#6440—28no—
65C2×#6440C2211yescharacteristic
66C2×#6440C2211yescharacteristic
67C2×#6440C2211yescharacteristic
68C2×#6440C2211yescharacteristic
69C2×#6440C2211yescharacteristic
70C2×#6440C2211yescharacteristic
71C2×#6440C2211yescharacteristic
72C2×#6440C2211yescharacteristic
73C7×#399C2211yescharacteristic
74C7×#397C2211yescharacteristic
75C7×#394C2211yescharacteristic
76C7×#394C2211yescharacteristic
77C7×#388C2211yescharacteristic
78C7×#388C2211yescharacteristic
79C7×#386C2211yescharacteristic
80C7×#386C2211yescharacteristic
81C7×#385C2211yescharacteristic
82C7×#380C2211yescharacteristic
83C7×#379C2211yescharacteristic
84#90019C2211yescharacteristic
85#89995C2211yescharacteristic
86#89994C2211yescharacteristic
87#89992C2211yescharacteristic
88#89992C2211yescharacteristic
89#89992C2211yescharacteristic
90#89992C2211yescharacteristic
91#89985C2211yescharacteristic
92#89985C2211yescharacteristic
93#89982C2211yescharacteristic, complemented
94C4×C22⋊Dic7C2211yescharacteristic
95C4×C22⋊Dic7C2211yescharacteristic, complemented
96#89766C2211yescharacteristic, complemented
97#89764C2211yescharacteristic, complemented
98#89762C2211yescharacteristic, complemented
99#89756C2211yescharacteristic, complemented
100#89754C2211yescharacteristic, complemented
101#89752C2211yescharacteristic, complemented
102#89752C2211yescharacteristic, complemented
103#89750C2211yescharacteristic, complemented
104#89750C2211yescharacteristic, complemented
105C4⋊C4×Dic7C2211yescharacteristic, complemented
106C4⋊C4×Dic7C2211yescharacteristic, complemented
107C4⋊C4×Dic7C2211yescharacteristic, complemented
108C4⋊C4×Dic7C2211yescharacteristic, complemented
109#89746C2211yescharacteristic, complemented
110#89745C2211yescharacteristic, complemented
111#89744C2211yescharacteristic, complemented
112#89733C2211yescharacteristic
113#89733C2211yescharacteristic
114#89731C2211yescharacteristic
115#89731C2211yescharacteristic, complemented
116#89730C2211yescharacteristic
117#89730C2211yescharacteristic
118#89730C2211yescharacteristic
119#89730C2211yescharacteristic
120#89729C2211yescharacteristic
121#89729C2211yescharacteristic
122#89729C2211yescharacteristic, complemented
123#89725C2211yescharacteristic
124#89724C2211yescharacteristic
125#89724C2211yescharacteristic
126#89724C2211yescharacteristic
127#89724C2211yescharacteristic, complemented
128#89723C2211yescharacteristic
129#89723C2211yescharacteristic
130#89722C2211yescharacteristic
131#89722C2211yescharacteristic
132#89722C2211yescharacteristic
133#89722C2211yescharacteristic
134#89721C2211yescharacteristic, complemented
135#89720C2211yescharacteristic
136#89720C2211yescharacteristic
137#89720C2211yescharacteristic, complemented
138#89719C2211yescharacteristic
139#89718C2211yescharacteristic
140#89718C2211yescharacteristic
141#89718C2211yescharacteristic
142#89718C2211yescharacteristic
143#89718C2211yescharacteristic
144#89718C2211yescharacteristic, complemented
145#89717C2211yescharacteristic
146#89717C2211yescharacteristic
147#89716C2211yescharacteristic
148#89716C2211yescharacteristic
149#89716C2211yescharacteristic, complemented
150#89714C2211yescharacteristic
151C22⋊C4×Dic7C2211yescharacteristic
152C22⋊C4×Dic7C2211yescharacteristic
153C22⋊C4×Dic7C2211yescharacteristic
154C22⋊C4×Dic7C2211yescharacteristic
155C22⋊C4×Dic7C2211yescharacteristic
156C22⋊C4×Dic7C2211yescharacteristic
157C22⋊C4×Dic7C2211yescharacteristic
158C22⋊C4×Dic7C2211yescharacteristic, complemented
159C22⋊C4×Dic7C2211yescharacteristic, complemented
160C22⋊C4×Dic7C2211yescharacteristic, complemented
161#89712C2211yescharacteristic, complemented
162C4×C4⋊Dic7C2211yescharacteristic, complemented
163#89705C2211yescharacteristic, complemented
164C42×Dic7C2211yescharacteristic, complemented
165#89447C2211yescharacteristic, complemented
166#89442C2211yescharacteristic, complemented
167#89442C2211yescharacteristic, complemented
168#89441C2211yescharacteristic, complemented
169#89438C2211yescharacteristic, complemented
170#89438C2211yescharacteristic, complemented
171#89432C2211yescharacteristic, complemented
172#89430C2211yescharacteristic, complemented
173#89429C2211yescharacteristic, complemented
174#89429C2211yescharacteristic, complemented
175#89428C2211yescharacteristic, complemented
176#89427C2211yescharacteristic, complemented
177#89427C2211yescharacteristic, complemented
178#89426C2211yescharacteristic, complemented
179#89425C2211yescharacteristic, complemented
180#89424C2211yescharacteristic, complemented
181#89424C2211yescharacteristic, complemented
182#89424C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, complemented
186#89420C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89419C2211yescharacteristic, complemented
189#34740—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C23×Dic7—24no—
202C23×Dic7—24no—
203C23×Dic7—24no—
204C23×Dic7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C23×Dic7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#123—24no—
217C7×#120—24no—
218C4×C7×D4—24no—
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4—24no—
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
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×C7C2311yescharacteristic
242#6516—24no—
243C2×C22⋊Dic7—24no—
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
262#6502—24no—
263#6502—24no—
264D4×Dic7—24no—
265D4×Dic7—24no—
266D4×Dic7—24no—
267D4×Dic7—24no—
268#6492—24no—
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×C4⋊Dic7C2311yescharacteristic
280C2×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286#6487—24no—
287C2×Dic7⋊C4—24no—
288C2×Dic7⋊C4—24no—
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7—24no—
310C2×C4×Dic7—24no—
311C2×C4×Dic7—24no—
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331#6461—24no—
332#6455—24no—
333#6452—24no—
334#6450—24no—
335#6448—24no—
336(C22⋊D7)⋊C4—24no—
337(C22⋊D7)⋊C4—24no—
338(C22⋊D7)⋊C4—24no—
339(C22⋊D7)⋊C4—24no—
340#6442—24no—
341#6441—24no—
342#6440—24no—
343#6440—24no—
344#6440—24no—
345#6440—24no—
346#6440—24no—
347#6440—24no—
348#6440—24no—
349#6440D418yescomplemented
350C7×#95C2311yescharacteristic
351C7×#95C2311yescharacteristic
352C7×#95C2311yescharacteristic
353C7×#95C2311yescharacteristic
354C7×#95C2311yescharacteristic
355C7×#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#529—71no—
387C22×#117—71no—
388#2481—71no—
389#2480—71no—
390#2479—71no—
391#2478—71no—
392#2477—71no—
393#2476—71no—
394#2475—71no—
395#2474—71no—
396#2473—71no—
397#2472—71no—
398#2471—71no—
399#2470—71no—
400#2449—71no—
401#2443—71no—
402#2424—71no—
403#2418D711yescharacteristic, complemented
404#2396—71no—
405#2395—71no—
406#2395—71no—
407#2392—71no—
408C4×C22⋊Q8—71no—
409C4×#121—71no—
410C4×#120—71no—
411C4×#120—71no—
412#2298—71no—
413#2293—71no—
414#2290—71no—
415#2290—71no—
416C42×D4—71no—
417C24×C7—22no—
418C24×C7—22no—
419C24×C7—22no—
420C24×C7—22no—
421C24×C7—22no—
422C24×C7—41no—
423C24×C7—41no—
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C24×C7C2411yescharacteristic
427C24×C7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C2×C7×D4—22no—
430C2×C7×D4—22no—
431C2×C7×D4—22no—
432C2×C7×D4—22no—
433C2×C7×D4—22no—
434C2×C7×D4—22no—
435C2×C7×D4—41no—
436C2×C7×D4—41no—
437C2×C7×D4#4114yes—
438C22×C4×C7—22no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—22no—
442C22×C4×C7—22no—
443C22×C4×C7—22no—
444C22×C4×C7—41no—
445C22×C4×C7—41no—
446C22×C4×C7—41no—
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—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—41no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C22×Dic7—232no—
471C22×Dic7—22no—
472C22×Dic7—22no—
473C22×Dic7—22no—
474C22×Dic7—22no—
475C22×Dic7—22no—
476C22×Dic7—22no—
477C22×Dic7—22no—
478C22×Dic7—22no—
479C22×Dic7—22no—
480C22×Dic7—22no—
481C22×Dic7—22no—
482C22×Dic7—22no—
483C22×Dic7—22no—
484C22×Dic7—22no—
485C22×Dic7—22no—
486C22×Dic7—22no—
487C22×Dic7—22no—
488C22×Dic7—22no—
489C22×Dic7—22no—
490C22×Dic7—22no—
491C22×Dic7—22no—
492C22×Dic7—22no—
493C22×Dic7—22no—
494C22×Dic7—22no—
495C22×Dic7—41no—
496C22×Dic7—41no—
497C22×Dic7—41no—
498C22×Dic7C2×D414yes—
499C22×Dic7#4114yes—
500C22×Dic7#4114yes—
501C22×Dic7C2411yescharacteristic
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
515C22×Dic7C2411yescharacteristic
516C2×C4×D7—22no—
517C2×C4×D7—22no—
518C2×C4×D7—22no—
519C2×Dic14—22no—
520C2×Dic14—22no—
521C2×Dic14—41no—
522C7×C4⋊C4—22no—
523C7×C4⋊C4—22no—
524C7×C4⋊C4—22no—
525C7×C4⋊C4—41no—
526C7×C4⋊C4—41no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—22no—
531C7×C22⋊C4—22no—
532C7×C22⋊C4—22no—
533C7×C22⋊C4—22no—
534C7×C22⋊C4—22no—
535C7×C22⋊C4—22no—
536C7×C22⋊C4—22no—
537C7×C22⋊C4—22no—
538C7×C22⋊C4—22no—
539C7×C22⋊C4—41no—
540C7×C22⋊C4—41no—
541C7×C22⋊C4—41no—
542C7×C22⋊C4C2×D414yes—
543C42×C7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—22no—
549C22⋊Dic7—22no—
550C22⋊Dic7—22no—
551C22⋊Dic7—22no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—22no—
558C22⋊Dic7—41no—
559C22⋊Dic7—41no—
560C22⋊Dic7C2×D414yes—
561C22⋊Dic7#4114yes—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
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—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572C4⋊Dic7—22no—
573C4⋊Dic7—22no—
574C4⋊Dic7—22no—
575C4⋊Dic7—22no—
576C4⋊Dic7—22no—
577C4⋊Dic7—22no—
578C4⋊Dic7—41no—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—22no—
584Dic7⋊C4—22no—
585Dic7⋊C4—22no—
586Dic7⋊C4—22no—
587Dic7⋊C4—22no—
588Dic7⋊C4—22no—
589Dic7⋊C4—22no—
590Dic7⋊C4—22no—
591Dic7⋊C4—22no—
592Dic7⋊C4—22no—
593Dic7⋊C4—22no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597Dic7⋊C4C2×D414yes—
598Dic7⋊C4C2×D414yes—
599C4×Dic7—22no—
600C4×Dic7—22no—
601C4×Dic7—22no—
602C4×Dic7—22no—
603C4×Dic7—22no—
604C4×Dic7—22no—
605C4×Dic7—22no—
606C4×Dic7—22no—
607C4×Dic7—22no—
608C4×Dic7—22no—
609C4×Dic7—22no—
610C4×Dic7—22no—
611C4×Dic7—22no—
612C4×Dic7—22no—
613C4×Dic7—22no—
614C4×Dic7—41no—
615C4×Dic7—41no—
616C4×Dic7C2×D414yes—
617C4×Dic7C2×D414yes—
618C24×C4—71no—
619#529—148no—
620C2×#126—71no—
621C2×#126—71no—
622C2×#125—71no—
623C2×#124—71no—
624C2×#123—71no—
625C2×#123C2×D711yescharacteristic
626C2×C22⋊Q8—71no—
627C2×C22⋊Q8—71no—
628C2×#121—71no—
629C2×#121—71no—
630C2×#120—71no—
631C2×#120C2×D711yescharacteristic
632C2×C4×Q8—71no—
633C2×C4×D4—71no—
634C2×C4×D4—71no—
635C2×C4×D4—71no—
636C2×C4×D4—71no—
637C2×C4×D4—71no—
638C2×C4×D4—71no—
639C2×C4×D4—71no—
640C2×C4×D4—71no—
641C2×C4×D4C2×D711yescharacteristic
642C2×#117—71no—
643C2×#117—71no—
644C2×#117—71no—
645C2×#117—71no—
646C2×#117—71no—
647C2×#117—71no—
648C2×#117—71no—
649C2×#117—71no—
650C2×#117—71no—
651C2×#117—148no—
652C22×C4⋊C4—71no—
653C22×C4⋊C4—71no—
654C22×C22⋊C4—71no—
655C22×C22⋊C4C2×D711yescharacteristic
656C22×C42—71no—
657C22×C42—71no—
658C22×C42—71no—
659#400—71no—
660#400—71no—
661#400—71no—
662#399—71no—
663#399—71no—
664#399C2×D711yescharacteristic
665#398—71no—
666#398—71no—
667#398—71no—
668#398—71no—
669#398—71no—
670#397—71no—
671#397—71no—
672#397—71no—
673#397—71no—
674#397—71no—
675#397—71no—
676#397C2×D711yescharacteristic
677#396—71no—
678#396—71no—
679#396—71no—
680#396—71no—
681#395—71no—
682#394—71no—
683#394—71no—
684#394—71no—
685#394—71no—
686#394—71no—
687#394C2×D711yescharacteristic
688#394C2×D711yescharacteristic
689#393—71no—
690#392—71no—
691#391—71no—
692#390—71no—
693#390—71no—
694#390—71no—
695#389—71no—
696#389—71no—
697#389—71no—
698#389—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#388—71no—
703#388—71no—
704#388—71no—
705#388—71no—
706#388—71no—
707#388—71no—
708#388—71no—
709#388—71no—
710#388—71no—
711#388C2×D711yescharacteristic
712#388C2×D711yescharacteristic
713#387—71no—
714#387—71no—
715#387—71no—
716#387—71no—
717#387—71no—
718#387—71no—
719#387—71no—
720#387—71no—
721#387—71no—
722#387—71no—
723#386—71no—
724#386—71no—
725#386—71no—
726#386—71no—
727#386—71no—
728#386—71no—
729#386—71no—
730#386—71no—
731#386—71no—
732#386—71no—
733#386C2×D711yescharacteristic
734#386C2×D711yescharacteristic
735#385—71no—
736#385—71no—
737#385—71no—
738#385—71no—
739#385—71no—
740#385—71no—
741#385—71no—
742#385—71no—
743#385—71no—
744#385—71no—
745#385—71no—
746#385C2×D711yescharacteristic
747#380—71no—
748#380C2×D711yescharacteristic
749#379—71no—
750#379C2×D711yescharacteristic
751C4×C4⋊C4—71no—
752C4×C4⋊C4—71no—
753C4×C4⋊C4—71no—
754C4×C4⋊C4—71no—
755C4×C4⋊C4—71no—
756C4×C4⋊C4—71no—
757C4×C4⋊C4—71no—
758C4×C4⋊C4—71no—
759C4×C22⋊C4—71no—
760C4×C22⋊C4—71no—
761C4×C22⋊C4—71no—
762C4×C22⋊C4—71no—
763C4×C22⋊C4—71no—
764C4×C22⋊C4—71no—
765C4×C22⋊C4—71no—
766C4×C22⋊C4—71no—
767C4×C22⋊C4—71no—
768C4×C22⋊C4—71no—
769C4×C22⋊C4—71no—
770C4×C22⋊C4—71no—
771C4×C22⋊C4—71no—
772C4×C22⋊C4—71no—
773#376—71no—
774C43—71no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—28no—
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—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7—21no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—44no—
799C23×C7—44no—
800C23×C7—44no—
801C23×C7—44no—
802C23×C7—44no—
803C23×C7—44no—
804C23×C7C22×D412yes—
805C23×C7C2×#4112yes—
806C23×C7C2×#4112yes—
807C23×C7C2×#4112yes—
808C23×C7C2×#4112yes—
809C23×C7C2×#4112yes—
810C23×C7C2511yescharacteristic
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C7×D4—28no—
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—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—44no—
852C2×C4×C7—44no—
853C2×C4×C7—44no—
854C2×C4×C7C22×D412yes—
855C2×C4×C7C22×D412yes—
856C2×C4×C7C2×#4112yes—
857C22⋊D7—44no—
858C22⋊D7—44no—
859C22⋊D7—44no—
860C22⋊D7—44no—
861C2×Dic7—28no—
862C2×Dic7—28no—
863C2×Dic7—28no—
864C2×Dic7—21no—
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—28no—
879C2×Dic7—28no—
880C2×Dic7—28no—
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—44no—
903C2×Dic7—44no—
904C2×Dic7—44no—
905C2×Dic7—44no—
906C2×Dic7C22×D412yes—
907C2×Dic7C22×D412yes—
908C2×Dic7C22×D412yes—
909C2×Dic7C22×D412yes—
910C2×Dic7C2×#4112yes—
911C2×Dic7C2×#4112yes—
912C2×Dic7C2×#4112yes—
913C2×Dic7C2×#4112yes—
914C2×Dic7C2×#4112yes—
915C2×Dic7C2×#4112yes—
916C4×D7—44no—
917Dic14—44no—
918C25C22×D711yescharacteristic
919C22×Q8—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4C22×D711yescharacteristic
925C22×D4C22×D711yescharacteristic
926C22×D4C22×D711yescharacteristic
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—144no—
939C23×C4—144no—
940C23×C4—144no—
941C23×C4C22×D711yescharacteristic
942C23×C4C22×D711yescharacteristic
943C23×C4C22×D711yescharacteristic
944#126—144no—
945#126—144no—
946#125—144no—
947#124—144no—
948#123—24no—
949#123—144no—
950C22⋊Q8—144no—
951C22⋊Q8—144no—
952#121—144no—
953#121—144no—
954#120—24no—
955#120—144no—
956C4×Q8—144no—
957C4×D4—24no—
958C4×D4—144no—
959C4×D4—144no—
960C4×D4—144no—
961C4×D4—144no—
962C4×D4—144no—
963C4×D4—144no—
964C4×D4—144no—
965C4×D4—144no—
966#117—78no—
967#117—144no—
968#117—144no—
969#117—144no—
970#117—144no—
971#117—144no—
972#117—144no—
973#117—144no—
974#117—144no—
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×C4⋊C4—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4—71no—
994C2×C4⋊C4—71no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4—71no—
1002C2×C4⋊C4—144no—
1003C2×C4⋊C4—144no—
1004C2×C4⋊C4C22×D711yescharacteristic
1005C2×C4⋊C4C22×D711yescharacteristic
1006C2×C4⋊C4C22×D711yescharacteristic
1007C2×C4⋊C4C22×D711yescharacteristic
1008C2×C4⋊C4C22×D711yescharacteristic
1009C2×C22⋊C4—24no—
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⋊C4—71no—
1038C2×C22⋊C4—144no—
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×C22⋊C4C22×D711yescharacteristic
1050C2×C22⋊C4C22×D711yescharacteristic
1051C2×C22⋊C4C22×D711yescharacteristic
1052C2×C22⋊C4C22×D711yescharacteristic
1053C2×C22⋊C4C22×D711yescharacteristic
1054C2×C22⋊C4C22×D711yescharacteristic
1055C2×C42—71no—
1056C2×C42—71no—
1057C2×C42—71no—
1058C2×C42—71no—
1059C2×C42—71no—
1060C2×C42—71no—
1061C2×C42—71no—
1062C2×C42—71no—
1063C2×C42—71no—
1064C2×C42—71no—
1065C2×C42—71no—
1066C2×C42—71no—
1067C2×C42—71no—
1068C2×C42—71no—
1069C2×C42—71no—
1070C2×C42—71no—
1071C2×C42—71no—
1072C2×C42—71no—
1073C2×C42—71no—
1074C2×C42—144no—
1075C2×C42—144no—
1076C2×C42—144no—
1077C2×C42C22×D711yescharacteristic
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#95—71no—
1089#95—71no—
1090#95—71no—
1091#95—71no—
1092#95—71no—
1093#95—71no—
1094#95—71no—
1095#95—71no—
1096#95—71no—
1097#95—71no—
1098#95—71no—
1099#95—71no—
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#95C22×D711yescharacteristic
1109#95C22×D711yescharacteristic
1110#95C22×D711yescharacteristic
1111#95C22×D711yescharacteristic
1112#95C22×D711yescharacteristic
1113#95C22×D711yescharacteristic
1114C22×C7—22no—
1115C22×C7—22no—
1116C22×C7—22no—
1117C22×C7—22no—
1118C22×C7—22no—
1119C22×C7—22no—
1120C22×C7—22no—
1121C22×C7—22no—
1122C22×C7—22no—
1123C22×C7—22no—
1124C22×C7—22no—
1125C22×C7—22no—
1126C22×C7—22no—
1127C22×C7—22no—
1128C22×C7—22no—
1129C22×C7—416no—
1130C22×C7—41no—
1131C22×C7—41no—
1132C22×C7—41no—
1133C22×C7—41no—
1134C22×C7—41no—
1135C22×C7—41no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7—41no—
1139C22×C7—41no—
1140C22×C7—41no—
1141C22×C7—41no—
1142C22×C7#52914yescomplemented
1143C22×C7C23×D411yescharacteristic
1144C22×C7C22×#4111yescharacteristic
1145C22×C7C22×#4111yescharacteristic
1146C22×C7C22×#4111yescharacteristic
1147C22×C7C22×#4111yescharacteristic
1148C22×C7#58511yescharacteristic
1149C22×C7#58511yescharacteristic
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C4×C7—22no—
1158C4×C7—22no—
1159C4×C7—22no—
1160C4×C7—41no—
1161C4×C7—41no—
1162C4×C7—41no—
1163C4×C7—41no—
1164C4×C7—41no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7—41no—
1168Dic7—22no—
1169Dic7—22no—
1170Dic7—22no—
1171Dic7—22no—
1172Dic7—22no—
1173Dic7—22no—
1174Dic7—22no—
1175Dic7—41no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7#52514yes—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—71no—
1191C24C23×D711yescharacteristic
1192C24C23×D711yescharacteristic
1193C24C23×D711yescharacteristic
1194C24C23×D711yescharacteristic
1195C2×Q8—142no—
1196C2×Q8—142no—
1197C2×Q8—281no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—142no—
1207C2×D4—142no—
1208C2×D4—142no—
1209C2×D4—142no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—142no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C2×D4—281no—
1218C2×D4#115914yes—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—71no—
1229C22×C4—74no—
1230C22×C4—74no—
1231C22×C4—74no—
1232C22×C4—71no—
1233C22×C4—71no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—71no—
1237C22×C4—71no—
1238C22×C4—71no—
1239C22×C4—71no—
1240C22×C4—71no—
1241C22×C4—71no—
1242C22×C4—71no—
1243C22×C4—71no—
1244C22×C4—71no—
1245C22×C4—71no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—142no—
1249C22×C4—142no—
1250C22×C4—142no—
1251C22×C4—142no—
1252C22×C4—142no—
1253C22×C4—142no—
1254C22×C4—142no—
1255C22×C4—142no—
1256C22×C4—142no—
1257C22×C4—142no—
1258C22×C4—142no—
1259C22×C4—142no—
1260C22×C4—142no—
1261C22×C4—142no—
1262C22×C4—142no—
1263C22×C4—142no—
1264C22×C4—142no—
1265C22×C4—142no—
1266C22×C4—142no—
1267C22×C4—142no—
1268C22×C4—1432no—
1269C22×C4—142no—
1270C22×C4—142no—
1271C22×C4—142no—
1272C22×C4—142no—
1273C22×C4—142no—
1274C22×C4—281no—
1275C22×C4—281no—
1276C22×C4—281no—
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—74no—
1294C4⋊C4—74no—
1295C4⋊C4—142no—
1296C4⋊C4—142no—
1297C4⋊C4—142no—
1298C4⋊C4—142no—
1299C4⋊C4—142no—
1300C4⋊C4—142no—
1301C4⋊C4—142no—
1302C4⋊C4—142no—
1303C4⋊C4—142no—
1304C4⋊C4—142no—
1305C4⋊C4—142no—
1306C4⋊C4—142no—
1307C4⋊C4—142no—
1308C4⋊C4—142no—
1309C4⋊C4—142no—
1310C4⋊C4—142no—
1311C4⋊C4—142no—
1312C4⋊C4—142no—
1313C4⋊C4—142no—
1314C4⋊C4—142no—
1315C4⋊C4—142no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C4⋊C4—281no—
1319C4⋊C4—281no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—74no—
1336C22⋊C4—74no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—142no—
1341C22⋊C4—142no—
1342C22⋊C4—142no—
1343C22⋊C4—142no—
1344C22⋊C4—142no—
1345C22⋊C4—142no—
1346C22⋊C4—142no—
1347C22⋊C4—142no—
1348C22⋊C4—142no—
1349C22⋊C4—142no—
1350C22⋊C4—142no—
1351C22⋊C4—142no—
1352C22⋊C4—142no—
1353C22⋊C4—142no—
1354C22⋊C4—142no—
1355C22⋊C4—142no—
1356C22⋊C4—142no—
1357C22⋊C4—142no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4D4×D714yes—
1364C42—22no—
1365C42—74no—
1366C42—74no—
1367C42—142no—
1368C42—142no—
1369C42—142no—
1370C42—142no—
1371C42—142no—
1372C42—142no—
1373C42—142no—
1374C42—142no—
1375C42—142no—
1376C42—142no—
1377C42—142no—
1378C42—142no—
1379C42—142no—
1380C42—142no—
1381C42—142no—
1382C42—281no—
1383C42—281no—
1384C2×C7—24no—
1385C2×C7—42no—
1386C2×C7—42no—
1387C2×C7—42no—
1388C2×C7C2×#52511yescharacteristic
1389C2×C7C2×#52911yescharacteristic
1390C2×C7#345511yescharacteristic
1391C2×C7D4×#4111yescharacteristic
1392C2×C7D4×#4111yescharacteristic
1393C2×C7#347511yescharacteristic
1394C2×C7#347511yescharacteristic
1395D7—81no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—28no—
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—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—141no—
1432C23C2×D4×D712yes—
1433C23C2×#115912yes—
1434C23C2×#115912yes—
1435C23D7×#4112yes—
1436C23D7×#4112yes—
1437C23D7×#4112yes—
1438C23C24×D711yescharacteristic
1439Q8—284no—
1440D4—28no—
1441D4—44no—
1442D4—44no—
1443D4—284no—
1444D4—284no—
1445D4—284no—
1446D4—284no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
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—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—72no—
1481C2×C4—72no—
1482C2×C4—72no—
1483C2×C4—72no—
1484C2×C4—72no—
1485C2×C4—72no—
1486C2×C4—72no—
1487C2×C4—72no—
1488C2×C4—72no—
1489C2×C4—72no—
1490C2×C4—148no—
1491C2×C4—148no—
1492C2×C4—148no—
1493C2×C4—148no—
1494C2×C4—148no—
1495C2×C4—148no—
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—284no—
1532C2×C4—284no—
1533C2×C4—284no—
1534C2×C4—284no—
1535C2×C4—284no—
1536C2×C4C2×D4×D712yes—
1537C2×C4C2×D4×D712yes—
1538C2×C4C2×#115912yes—
1539C7#3474011yescharacteristic, complemented, Sylow
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—416no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22#9034014yescomplemented
1576C22C22×D4×D711yescharacteristic
1577C22C22×#115911yescharacteristic
1578C22C2×D7×#4111yescharacteristic
1579C22C2×D7×#4111yescharacteristic
1580C22C2×D7×#4111yescharacteristic
1581C22#9061811yescharacteristic
1582C22#9061811yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—74no—
1595C4—142no—
1596C4—142no—
1597C4—142no—
1598C4—142no—
1599C4—142no—
1600C4—142no—
1601C4—142no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C4—281no—
1607C4—281no—
1608C4—281no—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—42no—
1613C2—561no—
1614C2C2×#9034011yescharacteristic
1615C2D7×#52511yescharacteristic
1616C2#1174345511yescharacteristic
1617C2D4×#115911yescharacteristic
1618C2#1174369411yescharacteristic
1619C2#1174369511yescharacteristic
1620C2#1174385811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2418C2
prime radical#11740032C2
hypercenter#2418D7
hypocenterC7#34740
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#90340C2semidirect
2. C22×#6440C2semidirect
3. C7×#2418C2semidirect
4. #11740299C2semidirect
6. Dic7×#120C2semidirect
7. #11739801C2semidirect
8. C4×D4×Dic7C2semidirect
9. #11739556C2semidirect
10. #11735473C2semidirect
11. #11735463C2semidirect
12. #11734924C2semidirect
13. #11734904C2semidirect
14. #11734376C2semidirect
15. #11734373C2semidirect
16. #11734337C2semidirect
17. #11734335C2semidirect
18. #11732978C2semidirect
19. #11732974C2semidirect
20. #11732896C2semidirect
21. #11732895C2semidirect
22. #11732169C2semidirect
23. #11732154C2semidirect
24. #11732105C2semidirect
25. #11732102C2semidirect
26. #11731885C2semidirect
27. #11731822C2semidirect
28. #11731355C2semidirect
29. #11731311C2semidirect
30. #11731276C2semidirect
31. #11731263C2semidirect
45. C2×#6492C22semidirect
51. C22×C4×Dic7C22semidirect
53. C2×#6461C22semidirect
54. C2×#6455C22semidirect
55. C2×#6452C22semidirect
56. C2×#6450C22semidirect
61. C2×(C22⋊D7)⋊C4C22semidirect
63. C2×#6441C22semidirect
93. #89982C22semidirect
95. C4×C22⋊Dic7C22semidirect
96. #89766C22semidirect
97. #89764C22semidirect
98. #89762C22semidirect
99. #89756C22semidirect
100. #89754C22semidirect
101. #89752C22semidirect
102. #89752C22semidirect
103. #89750C22semidirect
104. #89750C22semidirect
105. C4⋊C4×Dic7C22semidirect
106. C4⋊C4×Dic7C22semidirect
107. C4⋊C4×Dic7C22semidirect
108. C4⋊C4×Dic7C22semidirect
109. #89746C22semidirect
110. #89745C22semidirect
111. #89744C22semidirect
115. #89731C22semidirect
122. #89729C22semidirect
127. #89724C22semidirect
134. #89721C22semidirect
137. #89720C22semidirect
144. #89718C22semidirect
149. #89716C22semidirect
158. C22⋊C4×Dic7C22semidirect
159. C22⋊C4×Dic7C22semidirect
160. C22⋊C4×Dic7C22semidirect
161. #89712C22semidirect
162. C4×C4⋊Dic7C22semidirect
163. #89705C22semidirect
164. C42×Dic7C22semidirect
165. #89447C22semidirect
166. #89442C22semidirect
167. #89442C22semidirect
168. #89441C22semidirect
169. #89438C22semidirect
170. #89438C22semidirect
171. #89432C22semidirect
172. #89430C22semidirect
173. #89429C22semidirect
174. #89429C22semidirect
175. #89428C22semidirect
176. #89427C22semidirect
177. #89427C22semidirect
178. #89426C22semidirect
179. #89425C22semidirect
180. #89424C22semidirect
181. #89424C22semidirect
182. #89424C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89421C22semidirect
186. #89420C22semidirect
187. #89419C22semidirect
188. #89419C22semidirect
349. #6440D4semidirect
403. #2418D7semidirect
1142. C22×C7#529semidirect
1539. C7#34740semidirect
1575. C22#90340semidirect

Maximal subgroups

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

subgroupindex
C2×#903402
C22×#64402
C7×#24182
#117402992
#117400322
Dic7×#1202
#117398012
C4×D4×Dic72
#117395562
#117354732
#117354632
#117349242
#117349042
#117343762
#117343732
#117343372
#117343352
#117329782
#117329742
#117328962
#117328952
#117321692
#117321542
#117321052
#117321022
#117318852
#117318222
#117313552
#117313112
#117312762
#117312632
#347407