Finite Group Databasebeta

← #13524780

Subgroups — #13524780

Order 1792.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90219C211yesmaximal, characteristic, complemented
2C2×D7×#117C211yesmaximal, characteristic, complemented
3C7×#2293C211yesmaximal, characteristic, complemented
4C4×#6500C211yesmaximal, characteristic, complemented
5#11739790C211yesmaximal, characteristic, complemented
6#11739670C211yesmaximal, characteristic, complemented
7#11739670C211yesmaximal, characteristic, complemented
8#11733899C211yesmaximal, characteristic
9#11733882C211yesmaximal, characteristic, complemented
10#11733817C211yesmaximal, characteristic, complemented
11#11733814C211yesmaximal, characteristic, complemented
12#11733692C211yesmaximal, characteristic, complemented
13#11733653C211yesmaximal, characteristic, complemented
14#11733545C211yesmaximal, characteristic, complemented
15#11733540C211yesmaximal, characteristic, complemented
16#11733339C211yesmaximal, characteristic, complemented
17#11733335C211yesmaximal, characteristic, complemented
18#11733288C211yesmaximal, characteristic, complemented
19#11733287C211yesmaximal, characteristic, complemented
20#11733096C211yesmaximal, characteristic, complemented
21#11733095C211yesmaximal, characteristic, complemented
22#11733089C211yesmaximal, characteristic, complemented
23#11733088C211yesmaximal, characteristic, complemented
24#11731223C211yesmaximal, characteristic, complemented
25C4×#6457C211yesmaximal, characteristic, complemented
26#11731026C211yesmaximal, characteristic, complemented
27C4×#6446C211yesmaximal, characteristic, complemented
28C4×#6445C211yesmaximal, characteristic, complemented
29#11730925C211yesmaximal, characteristic, complemented
30#11730744C211yesmaximal, characteristic, complemented
31C4×#6435C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C2×C7×#117C2211yescharacteristic
35C2×C7×#117C2211yescharacteristic, complemented
36C2×#6500C2211yescharacteristic
37C2×C4×C22⋊D7C2211yescharacteristic
38C2×C4×C22⋊D7C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40C2×C4×C22⋊D7C2211yescharacteristic, complemented
41C2×#6489C2211yescharacteristic
42#90219—28no—
43D7×#117—28no—
44C2×#6461C2211yescharacteristic, complemented
45C2×#6459C2211yescharacteristic
46C2×#6457C2211yescharacteristic
47C2×#6457C2211yescharacteristic
48C2×#6455C2211yescharacteristic
49C2×#6455C2211yescharacteristic
50C2×D7×C4⋊C4C2211yescharacteristic
51C2×D7×C4⋊C4C2211yescharacteristic
52C2×#6452C2211yescharacteristic, complemented
53C2×#6448C2211yescharacteristic, complemented
54C2×#6447C2211yescharacteristic
55C2×#6446C2211yescharacteristic
56C2×#6446C2211yescharacteristic
57C2×#6445C2211yescharacteristic
58C2×D7×C22⋊C4C2211yescharacteristic
59C2×D7×C22⋊C4C2211yescharacteristic
60C2×#6442C2211yescharacteristic, complemented
61C2×#6440C2211yescharacteristic
62C2×#6440C2211yescharacteristic
63C2×C4×D28C2211yescharacteristic
64C2×C4×D28C2211yescharacteristic
65C2×#6435C2211yescharacteristic
66C2×#6435C2211yescharacteristic
67C2×#6435C2211yescharacteristic
68C2×#6435C2211yescharacteristic
69C2×#6435C2211yescharacteristic, complemented
70C2×C42×D7C2211yescharacteristic
71C2×C42×D7C2211yescharacteristic
72C2×C4×Dic14C2211yescharacteristic, complemented
73C7×#390C2211yescharacteristic
74C7×#390C2211yescharacteristic
75C7×#389C2211yescharacteristic, complemented
76C7×#389C2211yescharacteristic, complemented
77C7×#388C2211yescharacteristic
78C7×#388C2211yescharacteristic
79C7×#388C2211yescharacteristic, complemented
80C7×#388C2211yescharacteristic, complemented
81C4×C7×C4⋊C4C2211yescharacteristic, complemented
82C4×C7×C22⋊C4C2211yescharacteristic
83C4×C7×C22⋊C4C2211yescharacteristic, complemented
84C43×C7C2211yescharacteristic, complemented
85#89995C2211yescharacteristic
86#89994C2211yescharacteristic
87#89992C2211yescharacteristic
88C4×C22⋊Dic7C2211yescharacteristic
89C4×C22⋊Dic7C2211yescharacteristic, complemented
90#89766C2211yescharacteristic
91#89766C2211yescharacteristic, complemented
92#89764C2211yescharacteristic
93#89762C2211yescharacteristic
94#89762C2211yescharacteristic
95#89762C2211yescharacteristic, complemented
96#89762C2211yescharacteristic, complemented
97#89762C2211yescharacteristic, complemented
98#89761C2211yescharacteristic
99#89761C2211yescharacteristic
100#89761C2211yescharacteristic
101#89756C2211yescharacteristic, complemented
102#89753C2211yescharacteristic, complemented
103#89752C2211yescharacteristic, complemented
104#89751C2211yescharacteristic, complemented
105#89744C2211yescharacteristic, complemented
106#89744C2211yescharacteristic, complemented
107#89744C2211yescharacteristic, complemented
108#89744C2211yescharacteristic, complemented
109#89733C2211yescharacteristic, complemented
110#89732C2211yescharacteristic
111#89731C2211yescharacteristic
112#89731C2211yescharacteristic
113#89731C2211yescharacteristic, complemented
114#89730C2211yescharacteristic
115#89729C2211yescharacteristic
116#89729C2211yescharacteristic
117#89729C2211yescharacteristic
118#89729C2211yescharacteristic
119#89728C2211yescharacteristic
120#89728C2211yescharacteristic
121#89728C2211yescharacteristic
122#89727C2211yescharacteristic
123#89727C2211yescharacteristic
124#89724C2211yescharacteristic
125#89723C2211yescharacteristic, complemented
126#89722C2211yescharacteristic
127#89721C2211yescharacteristic
128#89720C2211yescharacteristic
129#89720C2211yescharacteristic
130#89720C2211yescharacteristic, complemented
131#89720C2211yescharacteristic, complemented
132#89719C2211yescharacteristic
133#89718C2211yescharacteristic
134#89717C2211yescharacteristic
135#89717C2211yescharacteristic
136#89717C2211yescharacteristic, complemented
137#89717C2211yescharacteristic, complemented
138#89717C2211yescharacteristic, complemented
139#89712C2211yescharacteristic
140#89712C2211yescharacteristic
141#89712C2211yescharacteristic, complemented
142#89712C2211yescharacteristic, complemented
143#89711C2211yescharacteristic
144#89711C2211yescharacteristic
145C4×(C2×D7)⋊C4C2211yescharacteristic
146C4×(C2×D7)⋊C4C2211yescharacteristic
147C4×(C2×D7)⋊C4C2211yescharacteristic
148C4×(C2×D7)⋊C4C2211yescharacteristic
149C4×(C2×D7)⋊C4C2211yescharacteristic
150C4×(C2×D7)⋊C4C2211yescharacteristic
151C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
152C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
153C4×C4⋊Dic7C2211yescharacteristic, complemented
154#89704C2211yescharacteristic, complemented
155#89704C2211yescharacteristic, complemented
156C4×Dic7⋊C4C2211yescharacteristic, complemented
157C4×Dic7⋊C4C2211yescharacteristic, complemented
158C4×Dic7⋊C4C2211yescharacteristic, complemented
159C4×Dic7⋊C4C2211yescharacteristic, complemented
160C4×Dic7⋊C4C2211yescharacteristic, complemented
161C4×Dic7⋊C4C2211yescharacteristic, complemented
162C42×Dic7C2211yescharacteristic, complemented
163#89700C2211yescharacteristic, complemented
164#89700C2211yescharacteristic, complemented
165#89448C2211yescharacteristic
166#89448C2211yescharacteristic, complemented
167#89447C2211yescharacteristic
168#89445C2211yescharacteristic
169#89444C2211yescharacteristic
170#89441C2211yescharacteristic, complemented
171#89440C2211yescharacteristic
172#89440C2211yescharacteristic
173#89440C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89436C2211yescharacteristic
178#89436C2211yescharacteristic
179#89433C2211yescharacteristic, complemented
180#89432C2211yescharacteristic, complemented
181#89430C2211yescharacteristic, complemented
182#89429C2211yescharacteristic, complemented
183#89429C2211yescharacteristic, complemented
184#89429C2211yescharacteristic, complemented
185#89428C2211yescharacteristic, complemented
186#89427C2211yescharacteristic, complemented
187#89426C2211yescharacteristic, complemented
188#89424C2211yescharacteristic, complemented
189#34877—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×C4×D7—24no—
202C22×C4×D7—24no—
203C22×C4×D7—24no—
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C4×C7×D4—24no—
215C7×#117—24no—
216C7×#117—24no—
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C42×C7C2311yescharacteristic
242C2×C42×C7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253#6500—24no—
254C4×C22⋊D7—24no—
255C4×C22⋊D7—24no—
256C4×C22⋊D7—24no—
257C4×C22⋊D7—24no—
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
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
284#6489—24no—
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
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
325#6461—24no—
326#6459—24no—
327#6457—24no—
328#6457—24no—
329#6455—24no—
330#6455—24no—
331D7×C4⋊C4—24no—
332D7×C4⋊C4—24no—
333#6452—24no—
334#6448—24no—
335#6447—24no—
336#6446—24no—
337#6446—24no—
338#6445—24no—
339D7×C22⋊C4—24no—
340D7×C22⋊C4—24no—
341#6442—24no—
342#6440—24no—
343#6440—24no—
344C4×D28—24no—
345C4×D28—24no—
346#6435—24no—
347#6435—24no—
348#6435—24no—
349#6435—24no—
350#6435—24no—
351C42×D7—24no—
352C42×D7D418yescomplemented
353C4×Dic14—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×#529—71no—
387C22×#117—71no—
388#2611—71no—
389#2611—71no—
390#2610—71no—
391#2610—71no—
392#2601—71no—
393#2601—71no—
394#2601—71no—
395#2601—71no—
396#2591—71no—
397#2583—71no—
398#2561—71no—
399#2539—71no—
400#2413—71no—
401#2413—71no—
402#2411—71no—
403#2411—71no—
404#2396—71no—
405#2396—71no—
406#2392—71no—
407#2392—71no—
408C4×#123—71no—
409C4×#123—71no—
410C4×#120—71no—
411C4×#120—71no—
412#2293—71no—
413#2293—71no—
414#2293—71no—
415#2293D711yescharacteristic, complemented
416C4×#117—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—22no—
423C23×D7—22no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C2×C7×D4—22no—
430C2×C7×D4—22no—
431C2×C7×D4—41no—
432C22×C4×C7—22no—
433C22×C4×C7—22no—
434C22×C4×C7—22no—
435C22×C4×C7—22no—
436C22×C4×C7—22no—
437C22×C4×C7#4114yes—
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—22no—
457C2×C22⋊D7—22no—
458C2×C22⋊D7—22no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C22×Dic7—22no—
464C22×Dic7—22no—
465C22×Dic7—22no—
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C2×D28—22no—
480C2×D28—22no—
481C2×D28—22no—
482C2×D28—22no—
483C2×D28—22no—
484C2×D28—41no—
485C2×C4×D7—232no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—22no—
503C2×C4×D7—22no—
504C2×C4×D7—22no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7C2×D414yes—
510C2×C4×D7C2×D414yes—
511C2×C4×D7C2×D414yes—
512C2×C4×D7#4114yes—
513C2×Dic14—22no—
514C2×Dic14—41no—
515C2×Dic14—41no—
516C7×C4⋊C4—22no—
517C7×C4⋊C4—22no—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—22no—
522C7×C4⋊C4—41no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—22no—
531C7×C22⋊C4—41no—
532C7×C22⋊C4—41no—
533C42×C7—22no—
534C42×C7—22no—
535C42×C7—22no—
536C42×C7—22no—
537C42×C7—22no—
538C42×C7—22no—
539C42×C7—41no—
540C42×C7—41no—
541C42×C7C2×D414yes—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—22no—
549C22⋊Dic7—22no—
550C22⋊Dic7—41no—
551C22⋊Dic7—41no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
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—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4#4114yes—
577(C2×D7)⋊C4#4114yes—
578C4⋊Dic7—22no—
579C4⋊Dic7—22no—
580C4⋊Dic7—22no—
581C4⋊Dic7—22no—
582C4⋊Dic7—22no—
583C4⋊Dic7—22no—
584C4⋊Dic7—41no—
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—22no—
595Dic7⋊C4—22no—
596Dic7⋊C4—22no—
597Dic7⋊C4—22no—
598Dic7⋊C4—22no—
599Dic7⋊C4—22no—
600Dic7⋊C4—22no—
601Dic7⋊C4—22no—
602Dic7⋊C4—22no—
603Dic7⋊C4—41no—
604Dic7⋊C4—41no—
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—41no—
614C4×Dic7—41no—
615C4×Dic7C2×D414yes—
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×#123—71no—
626C2×#123—71no—
627C2×#123—71no—
628C2×C22⋊Q8—71no—
629C2×#121—71no—
630C2×#120—71no—
631C2×#120—71no—
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×D4C2×D711yescharacteristic
640C2×#117—71no—
641C2×#117—71no—
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—148no—
651C2×#117C2×D711yescharacteristic
652C2×#117C2×D711yescharacteristic, complemented
653C22×C4⋊C4—71no—
654C22×C4⋊C4—71no—
655C22×C22⋊C4—71no—
656C22×C22⋊C4—71no—
657C22×C42—71no—
658C22×C42—71no—
659#400—71no—
660#400—71no—
661#399—71no—
662#399—71no—
663#398—71no—
664#398—71no—
665#398—71no—
666#398—71no—
667#398—71no—
668#398—71no—
669#397—71no—
670#397—71no—
671#396—71no—
672#396—71no—
673#396—71no—
674#396—71no—
675#396—71no—
676#396—71no—
677#396—71no—
678#396—71no—
679#395—71no—
680#395—71no—
681#394—71no—
682#394—71no—
683#394—71no—
684#394—71no—
685#394—71no—
686#394—71no—
687#393—71no—
688#393—71no—
689#392—71no—
690#392—71no—
691#390—71no—
692#390—71no—
693#390—71no—
694#390—71no—
695#390—71no—
696#390—71no—
697#390C2×D711yescharacteristic
698#390C2×D711yescharacteristic
699#389—71no—
700#389—71no—
701#389—71no—
702#389—71no—
703#389—71no—
704#389—71no—
705#389C2×D711yescharacteristic, complemented
706#389C2×D711yescharacteristic, complemented
707#388—71no—
708#388—71no—
709#388—71no—
710#388—71no—
711#388—71no—
712#388—71no—
713#388—71no—
714#388—71no—
715#388—71no—
716#388—71no—
717#388—71no—
718#388—71no—
719#388—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#388C2×D711yescharacteristic
724#388C2×D711yescharacteristic
725#388C2×D711yescharacteristic, complemented
726#388C2×D711yescharacteristic, complemented
727#387—71no—
728#387—71no—
729#387—71no—
730#387—71no—
731#386—71no—
732#386—71no—
733#386—71no—
734#386—71no—
735#386—71no—
736#386—71no—
737#386—71no—
738#386—71no—
739#385—71no—
740#385—71no—
741#385—71no—
742#385—71no—
743#385—71no—
744#385—71no—
745#385—71no—
746#385—71no—
747#381—71no—
748#381—71no—
749#379—71no—
750#379—71no—
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⋊C4C2×D711yescharacteristic, complemented
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⋊C4C2×D711yescharacteristic
770C4×C22⋊C4C2×D711yescharacteristic, complemented
771#376—71no—
772#376—71no—
773C43—71no—
774C43C2×D711yescharacteristic, complemented
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7C2×#4112yes—
789C23×C7C2511yescharacteristic
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—28no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—44no—
809C22×D7—44no—
810C22×D7—44no—
811C22×D7—44no—
812C22×D7—44no—
813C22×D7—44no—
814C22×D7C22×D412yes—
815C22×D7C2×#4112yes—
816C22×D7C2×#4112yes—
817C22×D7C2×#4112yes—
818C7×D4—44no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
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—28no—
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×C7C22×D412yes—
853C2×C4×C7C22×D412yes—
854C2×C4×C7C22×D412yes—
855C2×C4×C7C2×#4112yes—
856C2×C4×C7C2×#4112yes—
857C2×C4×C7C2×#4112yes—
858C2×C4×C7C2×#4112yes—
859C2×C4×C7C2×#4112yes—
860C22⋊D7—44no—
861C22⋊D7—44no—
862C22⋊D7—44no—
863C22⋊D7—44no—
864C2×Dic7—28no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7C22×D412yes—
899C2×Dic7C22×D412yes—
900C2×Dic7C22×D412yes—
901C2×Dic7C2×#4112yes—
902C2×Dic7C2×#4112yes—
903C2×Dic7C2×#4112yes—
904D28—44no—
905D28—44no—
906C4×D7—28no—
907C4×D7—28no—
908C4×D7—28no—
909C4×D7—28no—
910C4×D7—28no—
911C4×D7—44no—
912C4×D7—44no—
913C4×D7—44no—
914C4×D7—44no—
915Dic14—44no—
916C25—71no—
917C22×Q8—71no—
918C22×D4—71no—
919C22×D4—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4C22×D711yescharacteristic
925C23×C4—71no—
926C23×C4—71no—
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—144no—
936C23×C4—144no—
937C23×C4—144no—
938C23×C4C22×D711yescharacteristic
939C23×C4C22×D711yescharacteristic
940#126—144no—
941#126—144no—
942#125—144no—
943#124—144no—
944#123—144no—
945#123—144no—
946#123—144no—
947#123—144no—
948C22⋊Q8—144no—
949#121—144no—
950#120—144no—
951#120—144no—
952C4×Q8—144no—
953C4×D4—24no—
954C4×D4—144no—
955C4×D4—144no—
956C4×D4—144no—
957C4×D4—144no—
958C4×D4—144no—
959C4×D4—144no—
960#117—24no—
961#117—24no—
962#117—144no—
963#117—144no—
964#117—144no—
965#117—144no—
966#117—144no—
967#117—144no—
968#117—144no—
969#117—144no—
970#117—144no—
971#117—144no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×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—144no—
1000C2×C4⋊C4—144no—
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C4⋊C4C22×D711yescharacteristic
1004C2×C4⋊C4C22×D711yescharacteristic
1005C2×C4⋊C4C22×D711yescharacteristic
1006C2×C4⋊C4C22×D711yescharacteristic
1007C2×C4⋊C4C22×D711yescharacteristic
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—144no—
1045C2×C22⋊C4—144no—
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×C22⋊C4C22×D711yescharacteristic
1056C2×C42—71no—
1057C2×C42—71no—
1058C2×C42—71no—
1059C2×C42—78no—
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—144no—
1071C2×C42C22×D711yescharacteristic
1072C2×C42C22×D711yescharacteristic
1073C2×C42C22×D711yescharacteristic
1074C2×C42C22×D711yescharacteristic
1075C2×C42C22×D711yescharacteristic
1076C2×C42C22×D711yescharacteristic
1077C2×C42C22×D711yescharacteristic
1078C2×C42C22×D711yescharacteristic
1079C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1107#95C22×D711yescharacteristic
1108#95C22×D711yescharacteristic
1109#95C22×D711yescharacteristic
1110#95C22×D711yescharacteristic
1111#95C22×D711yescharacteristic
1112C22×C7—22no—
1113C22×C7—22no—
1114C22×C7—22no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7C23×D411yescharacteristic
1127C22×C7C22×#4111yescharacteristic
1128C22×C7C22×#4111yescharacteristic
1129C22×C7C22×#4111yescharacteristic
1130C22×C7C22×#4111yescharacteristic
1131C22×C7#58511yescharacteristic
1132C22×C7#58511yescharacteristic
1133C2×D7—22no—
1134C2×D7—22no—
1135C2×D7—22no—
1136C2×D7—22no—
1137C2×D7—22no—
1138C2×D7—22no—
1139C2×D7—22no—
1140C2×D7—22no—
1141C2×D7—22no—
1142C2×D7—416no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7#53214yes—
1155C4×C7—22no—
1156C4×C7—22no—
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#52514yes—
1168Dic7—22no—
1169Dic7—22no—
1170Dic7—22no—
1171Dic7—22no—
1172Dic7—22no—
1173Dic7—22no—
1174Dic7—41no—
1175Dic7—41no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181C24—71no—
1182C24—71no—
1183C24—71no—
1184C24—142no—
1185C24—142no—
1186C24—142no—
1187C24—142no—
1188C24—142no—
1189C24—281no—
1190C24—281no—
1191C24C23×D711yescharacteristic
1192C24C23×D711yescharacteristic
1193C2×Q8—142no—
1194C2×Q8—281no—
1195C2×Q8—281no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—41no—
1199C2×D4—142no—
1200C2×D4—142no—
1201C2×D4—142no—
1202C2×D4—142no—
1203C2×D4—142no—
1204C2×D4—142no—
1205C2×D4—142no—
1206C2×D4—142no—
1207C2×D4—142no—
1208C2×D4—142no—
1209C2×D4—142no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—281no—
1213C2×D4—281no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—74no—
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—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—1432no—
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—281no—
1263C22×C4—281no—
1264C22×C4—281no—
1265C22×C4—281no—
1266C22×C4#115714yes—
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—41no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
1292C4⋊C4—142no—
1293C4⋊C4—142no—
1294C4⋊C4—142no—
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—281no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—74no—
1325C22⋊C4—74no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
1335C22⋊C4—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—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—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—41no—
1367C42—41no—
1368C42—74no—
1369C42—74no—
1370C42—74no—
1371C42—142no—
1372C42—142no—
1373C42—142no—
1374C42—142no—
1375C42—142no—
1376C42—142no—
1377C42—142no—
1378C42—142no—
1379C42—281no—
1380C42—281no—
1381C42D4×D714yes—
1382C2×C7—42no—
1383C2×C7—81no—
1384C2×C7C2×#52511yescharacteristic
1385C2×C7C2×#53211yescharacteristic
1386C2×C7#344911yescharacteristic
1387C2×C7#347511yescharacteristic
1388C2×C7#347511yescharacteristic
1389C2×C7#347511yescharacteristic
1390C2×C7#347511yescharacteristic
1391D7—24no—
1392D7—42no—
1393D7—81no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—72no—
1408C23—72no—
1409C23—72no—
1410C23—72no—
1411C23—148no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—284no—
1430C23—284no—
1431C23—284no—
1432C23—284no—
1433C23—284no—
1434C23—284no—
1435C23C2×#115712yes—
1436C23C24×D711yescharacteristic
1437Q8—284no—
1438D4—44no—
1439D4—284no—
1440D4—284no—
1441D4—284no—
1442D4—284no—
1443D4—284no—
1444D4—284no—
1445C2×C4—21no—
1446C2×C4—21no—
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—28no—
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—72no—
1479C2×C4—72no—
1480C2×C4—72no—
1481C2×C4—72no—
1482C2×C4—72no—
1483C2×C4—72no—
1484C2×C4—148no—
1485C2×C4—148no—
1486C2×C4—148no—
1487C2×C4—148no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—148no—
1501C2×C4—148no—
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—284no—
1524C2×C4—284no—
1525C2×C4—284no—
1526C2×C4—284no—
1527C2×C4C2×#115712yes—
1528C2×C4C2×#115712yes—
1529C2×C4C2×D4×D712yes—
1530C2×C4C2×D4×D712yes—
1531C2×C4C2×D4×D712yes—
1532C2×C4D7×#4112yes—
1533C2×C4D7×#4112yes—
1534C2×C4D7×#4112yes—
1535C7#3487711yescharacteristic, complemented, Sylow
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—74no—
1551C22—142no—
1552C22—142no—
1553C22—142no—
1554C22—142no—
1555C22—142no—
1556C22—142no—
1557C22—142no—
1558C22—142no—
1559C22—142no—
1560C22—2816no—
1561C22—281no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22C22×#115711yescharacteristic
1573C22C22×D4×D711yescharacteristic
1574C22C2×D7×#4111yescharacteristic
1575C22C2×D7×#4111yescharacteristic
1576C22C2×D7×#4111yescharacteristic
1577C22#9061611yescharacteristic
1578C22#9061611yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—142no—
1592C4—142no—
1593C4—142no—
1594C4—142no—
1595C4—142no—
1596C4—142no—
1597C4—281no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4#9023814yes—
1605C2—42no—
1606C2—81no—
1607C2—144no—
1608C2—282no—
1609C2—561no—
1610C2#1174281211yescharacteristic
1611C2C2×#9023811yescharacteristic
1612C2#1174290811yescharacteristic
1613C2#1174321811yescharacteristic
1614C2#1174321911yescharacteristic
1615C2D7×#53211yescharacteristic
1616C2#1174330311yescharacteristic
subgroupG/H
centerC22×C4C23×D7
commutator, socle, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC7×#2293C2
prime radical#11733899C2
hypercenter#2293D7
hypocenterC7#34877
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ #2293

Complements

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

NH ≅ G/Ntype
1. C2×#90219C2semidirect
2. C2×D7×#117C2semidirect
3. C7×#2293C2semidirect
4. C4×#6500C2semidirect
5. #11739790C2semidirect
6. #11739670C2semidirect
7. #11739670C2semidirect
9. #11733882C2semidirect
10. #11733817C2semidirect
11. #11733814C2semidirect
12. #11733692C2semidirect
13. #11733653C2semidirect
14. #11733545C2semidirect
15. #11733540C2semidirect
16. #11733339C2semidirect
17. #11733335C2semidirect
18. #11733288C2semidirect
19. #11733287C2semidirect
20. #11733096C2semidirect
21. #11733095C2semidirect
22. #11733089C2semidirect
23. #11733088C2semidirect
24. #11731223C2semidirect
25. C4×#6457C2semidirect
26. #11731026C2semidirect
27. C4×#6446C2semidirect
28. C4×#6445C2semidirect
29. #11730925C2semidirect
30. #11730744C2semidirect
31. C4×#6435C2semidirect
35. C2×C7×#117C22semidirect
40. C2×C4×C22⋊D7C22semidirect
44. C2×#6461C22semidirect
52. C2×#6452C22semidirect
53. C2×#6448C22semidirect
60. C2×#6442C22semidirect
69. C2×#6435C22semidirect
72. C2×C4×Dic14C22semidirect
75. C7×#389C22semidirect
76. C7×#389C22semidirect
79. C7×#388C22semidirect
80. C7×#388C22semidirect
81. C4×C7×C4⋊C4C22semidirect
83. C4×C7×C22⋊C4C22semidirect
84. C43×C7C22semidirect
89. C4×C22⋊Dic7C22semidirect
91. #89766C22semidirect
95. #89762C22semidirect
96. #89762C22semidirect
97. #89762C22semidirect
101. #89756C22semidirect
102. #89753C22semidirect
103. #89752C22semidirect
104. #89751C22semidirect
105. #89744C22semidirect
106. #89744C22semidirect
107. #89744C22semidirect
108. #89744C22semidirect
109. #89733C22semidirect
113. #89731C22semidirect
125. #89723C22semidirect
130. #89720C22semidirect
131. #89720C22semidirect
136. #89717C22semidirect
137. #89717C22semidirect
138. #89717C22semidirect
141. #89712C22semidirect
142. #89712C22semidirect
151. C4×(C2×D7)⋊C4C22semidirect
152. C4×(C2×D7)⋊C4C22semidirect
153. C4×C4⋊Dic7C22semidirect
154. #89704C22semidirect
155. #89704C22semidirect
156. C4×Dic7⋊C4C22semidirect
157. C4×Dic7⋊C4C22semidirect
158. C4×Dic7⋊C4C22semidirect
159. C4×Dic7⋊C4C22semidirect
160. C4×Dic7⋊C4C22semidirect
161. C4×Dic7⋊C4C22semidirect
162. C42×Dic7C22semidirect
163. #89700C22semidirect
164. #89700C22semidirect
166. #89448C22semidirect
170. #89441C22semidirect
179. #89433C22semidirect
180. #89432C22semidirect
181. #89430C22semidirect
182. #89429C22semidirect
183. #89429C22semidirect
184. #89429C22semidirect
185. #89428C22semidirect
186. #89427C22semidirect
187. #89426C22semidirect
188. #89424C22semidirect
352. C42×D7D4semidirect
415. #2293D7semidirect
652. C2×#117C2×D7semidirect
705. #389C2×D7semidirect
706. #389C2×D7semidirect
725. #388C2×D7semidirect
726. #388C2×D7semidirect
758. C4×C4⋊C4C2×D7semidirect
770. C4×C22⋊C4C2×D7semidirect
774. C43C2×D7semidirect
1535. C7#34877semidirect

Maximal subgroups

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

subgroupindex
C2×#902192
C2×D7×#1172
C7×#22932
C4×#65002
#117397902
#117396702
#117338992
#117338822
#117338172
#117338142
#117336922
#117336532
#117335452
#117335402
#117333392
#117333352
#117332882
#117332872
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