Finite Group Databasebeta

← #13522505

Subgroups — #13522505

Order 1792.

2562 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90219C211yesmaximal, characteristic, complemented
2C2×C4×#1157C211yesmaximal, characteristic, complemented
3C7×#2296C211yesmaximal, characteristic, complemented
4#11739719C211yesmaximal, characteristic, complemented
5#11739718C211yesmaximal, characteristic, complemented
6#11739713C211yesmaximal, characteristic, complemented
7C4×#6492C211yesmaximal, characteristic, complemented
8#11733670C211yesmaximal, characteristic, complemented
9#11733667C211yesmaximal, characteristic, complemented
10#11733662C211yesmaximal, characteristic, complemented
11#11733653C211yesmaximal, characteristic, complemented
12#11733472C211yesmaximal, characteristic, complemented
13#11733469C211yesmaximal, characteristic, complemented
14#11733466C211yesmaximal, characteristic, complemented
15#11733463C211yesmaximal, characteristic, complemented
16#11732053C211yesmaximal, characteristic, complemented
17#11732051C211yesmaximal, characteristic
18#11732049C211yesmaximal, characteristic, complemented
19#11732045C211yesmaximal, characteristic, complemented
20#11731895C211yesmaximal, characteristic, complemented
21#11731889C211yesmaximal, characteristic, complemented
22#11731881C211yesmaximal, characteristic, complemented
23#11731876C211yesmaximal, characteristic, complemented
24#11731223C211yesmaximal, characteristic, complemented
25C4×#6459C211yesmaximal, characteristic, complemented
26C4×#6457C211yesmaximal, characteristic, complemented
27C4×#6457C211yesmaximal, characteristic, complemented
28C4×#6458C211yesmaximal, characteristic, complemented
29#11731199C211yesmaximal, characteristic, complemented
30C4×D7×C4⋊C4C211yesmaximal, characteristic, complemented
31#11731114C211yesmaximal, characteristic, complemented
32C22×#1157C2211yescharacteristic
33C2×C7×#117C2211yescharacteristic
34C2×C7×#117C2211yescharacteristic
35C22×C42×C7C2211yescharacteristic
36C2×#6492C2211yescharacteristic
37C2×C4×C22⋊D7C2211yescharacteristic
38C2×C4×C22⋊D7C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40C2×C4×C22⋊D7C2211yescharacteristic
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×#6489C2211yescharacteristic
43#90219—28no—
44C2×#6461C2211yescharacteristic
45C2×#6459C2211yescharacteristic
46C2×#6459C2211yescharacteristic
47C2×#6458C2211yescharacteristic
48C2×#6457C2211yescharacteristic
49C2×#6457C2211yescharacteristic
50C2×#6457C2211yescharacteristic
51C2×D7×C4⋊C4C2211yescharacteristic
52C2×D7×C4⋊C4C2211yescharacteristic
53C2×#6452C2211yescharacteristic
54C2×#6448C2211yescharacteristic
55C2×#6447C2211yescharacteristic
56C2×#6446C2211yescharacteristic
57C2×#6442C2211yescharacteristic
58C4×#1157—28no—
59C2×C4×D28C2211yescharacteristic
60C2×C4×D28C2211yescharacteristic
61C2×C4×D28C2211yescharacteristic
62C2×C4×D28C2211yescharacteristic
63C2×#6435C2211yescharacteristic
64C2×#6435C2211yescharacteristic
65C2×#6435C2211yescharacteristic
66C2×C42×D7C2211yescharacteristic
67C2×C42×D7C2211yescharacteristic
68C2×C42×D7C2211yescharacteristic
69C2×C42×D7C2211yescharacteristic
70C2×C4×Dic14C2211yescharacteristic
71C2×C4×Dic14C2211yescharacteristic
72C2×C4×Dic14C2211yescharacteristic
73C7×#389C2211yescharacteristic
74C7×#389C2211yescharacteristic
75C7×#389C2211yescharacteristic
76C7×#389C2211yescharacteristic
77C7×#385C2211yescharacteristic
78C7×#385C2211yescharacteristic
79C7×#385C2211yescharacteristic
80C7×#385C2211yescharacteristic
81C4×C7×C4⋊C4C2211yescharacteristic
82C4×C7×C4⋊C4C2211yescharacteristic
83C4×C7×C4⋊C4C2211yescharacteristic
84C4×C7×C4⋊C4C2211yescharacteristic
85#89985C2211yescharacteristic
86#89983C2211yescharacteristic
87#89982C2211yescharacteristic
88C4×C22⋊Dic7C2211yescharacteristic
89#89766C2211yescharacteristic
90#89766C2211yescharacteristic
91#89766C2211yescharacteristic
92#89765C2211yescharacteristic
93#89764C2211yescharacteristic
94#89764C2211yescharacteristic
95#89763C2211yescharacteristic
96#89762C2211yescharacteristic
97#89762C2211yescharacteristic
98#89762C2211yescharacteristic
99#89762C2211yescharacteristic
100#89761C2211yescharacteristic
101#89761C2211yescharacteristic
102#89761C2211yescharacteristic
103#89761C2211yescharacteristic
104#89761C2211yescharacteristic
105#89761C2211yescharacteristic
106#89761C2211yescharacteristic
107#89760C2211yescharacteristic
108#89759C2211yescharacteristic
109#89757C2211yescharacteristic
110#89756C2211yescharacteristic
111#89756C2211yescharacteristic
112#89755C2211yescharacteristic
113#89754C2211yescharacteristic
114#89753C2211yescharacteristic
115#89753C2211yescharacteristic
116#89753C2211yescharacteristic
117#89752C2211yescharacteristic
118#89752C2211yescharacteristic
119#89751C2211yescharacteristic
120#89751C2211yescharacteristic
121#89751C2211yescharacteristic
122#89750C2211yescharacteristic
123#89750C2211yescharacteristic
124C4⋊C4×Dic7C2211yescharacteristic
125C4⋊C4×Dic7C2211yescharacteristic
126#89744C2211yescharacteristic
127#89733C2211yescharacteristic
128#89733C2211yescharacteristic
129#89732C2211yescharacteristic
130#89731C2211yescharacteristic
131#89731C2211yescharacteristic
132#89728C2211yescharacteristic
133#89728C2211yescharacteristic
134#89725C2211yescharacteristic
135#89724C2211yescharacteristic
136#89724C2211yescharacteristic
137#89716C2211yescharacteristic
138#89716C2211yescharacteristic
139#89712C2211yescharacteristic
140#89712C2211yescharacteristic
141C4×(C2×D7)⋊C4C2211yescharacteristic
142C4×(C2×D7)⋊C4C2211yescharacteristic
143C4×(C2×D7)⋊C4C2211yescharacteristic
144C4×(C2×D7)⋊C4C2211yescharacteristic
145C4×(C2×D7)⋊C4C2211yescharacteristic
146C4×(C2×D7)⋊C4C2211yescharacteristic
147C4×(C2×D7)⋊C4C2211yescharacteristic
148C4×C4⋊Dic7C2211yescharacteristic
149#89705C2211yescharacteristic
150#89705C2211yescharacteristic
151#89704C2211yescharacteristic
152C4×Dic7⋊C4C2211yescharacteristic
153C4×Dic7⋊C4C2211yescharacteristic
154C4×Dic7⋊C4C2211yescharacteristic
155C4×Dic7⋊C4C2211yescharacteristic
156C4×Dic7⋊C4C2211yescharacteristic
157#89448C2211yescharacteristic
158#89445C2211yescharacteristic
159#89442C2211yescharacteristic
160#89442C2211yescharacteristic
161#89441C2211yescharacteristic
162#89441C2211yescharacteristic
163#89440C2211yescharacteristic
164#89439C2211yescharacteristic
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89436C2211yescharacteristic
172#89436C2211yescharacteristic
173D7×#95C2211yescharacteristic
174D7×#95C2211yescharacteristic
175#89430C2211yescharacteristic
176#89429C2211yescharacteristic
177#89429C2211yescharacteristic
178#89429C2211yescharacteristic
179#89428C2211yescharacteristic
180#89428C2211yescharacteristic
181#89427C2211yescharacteristic
182#89427C2211yescharacteristic
183#89426C2211yescharacteristic
184#89426C2211yescharacteristic
185#89424C2211yescharacteristic
186#89421C2211yescharacteristic
187#89421C2211yescharacteristic
188#89418C2211yescharacteristic
189#34735—71nomaximal, Sylow
190C23×C4×C7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C2×#1157—24no—
197C2×#1157—24no—
198C2×#1157—24no—
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×C4×D7C2311yescharacteristic
203C22×C4×D7C2311yescharacteristic
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
214C22×Dic14C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C42×C7—24no—
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×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247#6492—24no—
248C4×C22⋊D7—24no—
249C4×C22⋊D7—24no—
250C4×C22⋊D7—24no—
251C4×C22⋊D7—24no—
252C4×C22⋊D7D418yescomplemented
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
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
278#6489—24no—
279C2×C4⋊Dic7C2311yescharacteristic
280C2×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318#6461—24no—
319#6459—24no—
320#6459—24no—
321#6458—24no—
322#6457—24no—
323#6457—24no—
324#6457—24no—
325D7×C4⋊C4—24no—
326D7×C4⋊C4—24no—
327#6452—24no—
328#6448—24no—
329#6447—24no—
330#6446—24no—
331#6442—24no—
332C4×D28—24no—
333C4×D28—24no—
334C4×D28—24no—
335C4×D28—24no—
336#6435—24no—
337#6435—24no—
338#6435—24no—
339C42×D7—24no—
340C42×D7—24no—
341C42×D7—24no—
342C42×D7—24no—
343C4×Dic14—24no—
344C4×Dic14—24no—
345C4×Dic14—24no—
346C7×#95C2311yescharacteristic
347C7×#95C2311yescharacteristic
348C7×#95C2311yescharacteristic
349C7×#95C2311yescharacteristic
350C7×#95C2311yescharacteristic
351C7×#95C2311yescharacteristic
352C7×#95C2311yescharacteristic
353C7×#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
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—
387C2×C4×#41—71no—
388#2479—71no—
389#2478—71no—
390#2475—71no—
391#2474—71no—
392#2469—71no—
393#2468—71no—
394#2462—71no—
395#2461—71no—
396#2449—71no—
397#2443—71no—
398#2438—71no—
399#2430—71no—
400#2425—71no—
401#2419—71no—
402#2413—71no—
403#2406—71no—
404#2399—71no—
405#2396—71no—
406#2395—71no—
407#2392—71no—
408C4×C22⋊Q8—71no—
409C4×#123—71no—
410C4×#123—71no—
411C4×#123—71no—
412C4×#121—71no—
413#2296D711yescharacteristic, complemented
414#2290—71no—
415#2290—71no—
416C2×C4×C4⋊C4—71no—
417C24×C7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C22×C4×C7—22no—
422C22×C4×C7—22no—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
427C22×C4×C7—22no—
428C22×C4×C7—41no—
429C22×C4×C7C2×D414yes—
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7C2×D414yes—
453C22×Dic7C2411yescharacteristic
454C22×Dic7C2411yescharacteristic
455C22×Dic7C2411yescharacteristic
456C22×Dic7C2411yescharacteristic
457C22×Dic7C2411yescharacteristic
458C22×Dic7C2411yescharacteristic
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466#1157—232no—
467C2×D28—22no—
468C2×D28—22no—
469C2×D28—22no—
470C2×D28—22no—
471C2×D28—22no—
472C2×D28—22no—
473C2×D28—22no—
474C2×D28—41no—
475C2×D28#4114yes—
476C2×C4×D7—22no—
477C2×C4×D7—22no—
478C2×C4×D7—22no—
479C2×C4×D7—22no—
480C2×C4×D7—22no—
481C2×C4×D7—22no—
482C2×C4×D7—22no—
483C2×C4×D7—22no—
484C2×C4×D7—22no—
485C2×C4×D7—22no—
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—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7C2×D414yes—
508C2×C4×D7#4114yes—
509C2×Dic14—22no—
510C2×Dic14—22no—
511C2×Dic14—22no—
512C2×Dic14—22no—
513C2×Dic14—22no—
514C2×Dic14—41no—
515C7×C4⋊C4—22no—
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—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—
531C42×C7—22no—
532C42×C7—22no—
533C42×C7—22no—
534C42×C7—22no—
535C42×C7—22no—
536C42×C7—22no—
537C42×C7—22no—
538C42×C7#4114yescomplemented
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—41no—
543C22⋊Dic7C2×D414yes—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
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—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4C2×D414yes—
569C4⋊Dic7—22no—
570C4⋊Dic7—22no—
571C4⋊Dic7—22no—
572C4⋊Dic7—22no—
573C4⋊Dic7—22no—
574C4⋊Dic7—22no—
575C4⋊Dic7—22no—
576Dic7⋊C4—22no—
577Dic7⋊C4—22no—
578Dic7⋊C4—22no—
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—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4C2×D414yes—
594Dic7⋊C4#4114yescomplemented
595C4×Dic7—22no—
596C4×Dic7—22no—
597C4×Dic7—22no—
598C4×Dic7—22no—
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×Dic7C2×D414yes—
608C22×#41—71no—
609#529—148no—
610C2×#126—71no—
611C2×#126—71no—
612C2×#125—71no—
613C2×#124—71no—
614C2×#123—71no—
615C2×#123—71no—
616C2×#123—71no—
617C2×#123—71no—
618C2×#123—71no—
619C2×C22⋊Q8—71no—
620C2×C22⋊Q8—71no—
621C2×#121—71no—
622C2×#121—71no—
623C4×#41—148no—
624C2×C4×Q8—71no—
625C2×C4×Q8—71no—
626C2×C4×Q8—71no—
627C2×C4×D4—71no—
628C2×C4×D4—71no—
629C2×C4×D4—71no—
630C2×C4×D4—71no—
631C2×C4×D4—71no—
632C2×C4×D4—71no—
633C2×C4×D4—71no—
634C2×C4×D4—71no—
635C2×C4×D4—71no—
636C2×#117—71no—
637C2×#117—71no—
638C2×#117—71no—
639C2×#117—71no—
640C2×#117C2×D711yescharacteristic
641C2×#117C2×D711yescharacteristic
642C22×C4⋊C4—71no—
643C22×C4⋊C4—71no—
644C22×C42—71no—
645C22×C42—71no—
646C22×C42—71no—
647C22×C42—71no—
648C22×C42C2×D711yescharacteristic
649#400—71no—
650#400—71no—
651#399—71no—
652#399—71no—
653#398—71no—
654#398—71no—
655#398—71no—
656#398—71no—
657#398—71no—
658#398—71no—
659#398—71no—
660#398—71no—
661#397—71no—
662#397—71no—
663#397—71no—
664#397—71no—
665#396—71no—
666#396—71no—
667#396—71no—
668#396—71no—
669#395—71no—
670#395—71no—
671#395—71no—
672#395—71no—
673#395—71no—
674#394—71no—
675#394—71no—
676#394—71no—
677#394—71no—
678#394—71no—
679#393—71no—
680#392—71no—
681#391—71no—
682#390—71no—
683#389—71no—
684#389—71no—
685#389C2×D711yescharacteristic
686#389C2×D711yescharacteristic
687#389C2×D711yescharacteristic
688#389C2×D711yescharacteristic
689#388—71no—
690#388—71no—
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388—71no—
698#388—71no—
699#388—71no—
700#388—71no—
701#387—71no—
702#387—71no—
703#387—71no—
704#387—71no—
705#387—71no—
706#387—71no—
707#387—71no—
708#387—71no—
709#387—71no—
710#387—71no—
711#387—71no—
712#387—71no—
713#386—71no—
714#386—71no—
715#386—71no—
716#386—71no—
717#386—71no—
718#386—71no—
719#386—71no—
720#386—71no—
721#386—71no—
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385—71no—
730#385—71no—
731#385C2×D711yescharacteristic
732#385C2×D711yescharacteristic
733#385C2×D711yescharacteristic
734#385C2×D711yescharacteristic
735#381—71no—
736#381—71no—
737#381—71no—
738#380—71no—
739#380—71no—
740C4×C4⋊C4—71no—
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4—71no—
746C4×C4⋊C4—71no—
747C4×C4⋊C4—71no—
748C4×C4⋊C4—71no—
749C4×C4⋊C4—71no—
750C4×C4⋊C4C2×D711yescharacteristic
751C4×C4⋊C4C2×D711yescharacteristic
752C4×C4⋊C4C2×D711yescharacteristic
753C4×C4⋊C4C2×D711yescharacteristic
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4—71no—
758C4×C22⋊C4—71no—
759C4×C22⋊C4—71no—
760C4×C22⋊C4—71no—
761C4×C22⋊C4—71no—
762#376—71no—
763C2×#95—71no—
764C2×#95—71no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7C22×D412yes—
772C23×C7C2511yescharacteristic
773C22×D7—21no—
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7C22×D412yes—
791C22×D7C2×#4112yes—
792C22×D7C2×#4112yes—
793C22×D7C2×#4112yes—
794C2×C4×C7—28no—
795C2×C4×C7—21no—
796C2×C4×C7—21no—
797C2×C4×C7—21no—
798C2×C4×C7—21no—
799C2×C4×C7—21no—
800C2×C4×C7—21no—
801C2×C4×C7—21no—
802C2×C4×C7—21no—
803C2×C4×C7—21no—
804C2×C4×C7—21no—
805C2×C4×C7—21no—
806C2×C4×C7—21no—
807C2×C4×C7—28no—
808C2×C4×C7—21no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
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—44no—
830C2×C4×C7C22×D412yes—
831C2×C4×C7C22×D412yes—
832C2×C4×C7C2×#4112yes—
833C2×C4×C7C2×#4112yes—
834C2×C4×C7C2×#4112yes—
835C2×C4×C7C2×#4112yes—
836C2×C4×C7C2×#4112yes—
837C2×C4×C7C2×#4112yes—
838C2×C4×C72−1+412yes—
839C22⋊D7—28no—
840C22⋊D7—28no—
841C22⋊D7—44no—
842C2×Dic7—21no—
843C2×Dic7—21no—
844C2×Dic7—21no—
845C2×Dic7—21no—
846C2×Dic7—21no—
847C2×Dic7—21no—
848C2×Dic7—21no—
849C2×Dic7—21no—
850C2×Dic7—21no—
851C2×Dic7—21no—
852C2×Dic7—21no—
853C2×Dic7—21no—
854C2×Dic7—21no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
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×Dic7C22×D412yes—
876C2×Dic7C22×D412yes—
877C2×Dic7C22×D412yes—
878C2×Dic7C2×#4112yes—
879C2×Dic7C2×#4112yes—
880C2×Dic7C2×#4112yes—
881D28—28no—
882D28—44no—
883D28—44no—
884C4×D7—28no—
885C4×D7—28no—
886C4×D7—28no—
887C4×D7—28no—
888C4×D7—44no—
889C4×D7—44no—
890C4×D7—44no—
891C4×D7—44no—
892C4×D7—44no—
893C4×D7—44no—
894C4×D7—44no—
895Dic14—28no—
896Dic14—44no—
897C2×#41—144no—
898C2×#41—144no—
899C2×#41—144no—
900C22×Q8—71no—
901C22×Q8—71no—
902C22×D4—71no—
903C22×D4—71no—
904C22×D4—71no—
905C22×D4—71no—
906C22×D4—71no—
907C22×D4—71no—
908C23×C4—71no—
909C23×C4—71no—
910C23×C4—71no—
911C23×C4—71no—
912C23×C4—71no—
913C23×C4—71no—
914C23×C4—71no—
915C23×C4—71no—
916C23×C4—71no—
917C23×C4—71no—
918C23×C4—71no—
919C23×C4C22×D711yescharacteristic
920C23×C4C22×D711yescharacteristic
921C23×C4C22×D711yescharacteristic
922#126—144no—
923#126—144no—
924#125—144no—
925#124—144no—
926#123—144no—
927#123—144no—
928#123—144no—
929#123—144no—
930#123—144no—
931C22⋊Q8—144no—
932C22⋊Q8—144no—
933#121—144no—
934#121—144no—
935C4×Q8—144no—
936C4×Q8—144no—
937C4×Q8—144no—
938C4×D4—78no—
939C4×D4—144no—
940C4×D4—144no—
941C4×D4—144no—
942C4×D4—144no—
943C4×D4—144no—
944C4×D4—144no—
945C4×D4—144no—
946C4×D4—144no—
947#117—24no—
948#117—24no—
949#117—144no—
950#117—144no—
951#117—144no—
952#117—144no—
953C2×C4⋊C4—71no—
954C2×C4⋊C4—71no—
955C2×C4⋊C4—71no—
956C2×C4⋊C4—71no—
957C2×C4⋊C4—71no—
958C2×C4⋊C4—71no—
959C2×C4⋊C4—71no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—144no—
980C2×C4⋊C4—144no—
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
986C2×C4⋊C4C22×D711yescharacteristic
987C2×C4⋊C4C22×D711yescharacteristic
988C2×C4⋊C4C22×D711yescharacteristic
989C2×C4⋊C4C22×D711yescharacteristic
990C2×C4⋊C4C22×D711yescharacteristic
991C2×C4⋊C4C22×D711yescharacteristic
992C2×C4⋊C4C22×D711yescharacteristic
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4C22×D711yescharacteristic
1024C2×C22⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C42—24no—
1028C2×C42—71no—
1029C2×C42—71no—
1030C2×C42—71no—
1031C2×C42—71no—
1032C2×C42—71no—
1033C2×C42—71no—
1034C2×C42—71no—
1035C2×C42—71no—
1036C2×C42—71no—
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—144no—
1042C2×C42—144no—
1043C2×C42—144no—
1044C2×C42—144no—
1045C2×C42C22×D711yescharacteristic
1046C2×C42C22×D711yescharacteristic
1047C2×C42C22×D711yescharacteristic
1048C2×C42C22×D711yescharacteristic
1049C2×C42C22×D711yescharacteristic
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
1052C2×C42C22×D711yescharacteristic
1053#95—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093C22×C7—22no—
1094C22×C7—22no—
1095C22×C7—22no—
1096C22×C7—41no—
1097C22×C7—41no—
1098C22×C7—41no—
1099C22×C7—41no—
1100C22×C7C23×D411yescharacteristic
1101C22×C7C22×#4111yescharacteristic
1102C22×C7C22×#4111yescharacteristic
1103C22×C7C22×#4111yescharacteristic
1104C22×C7C22×#4111yescharacteristic
1105C22×C7C2×2−1+411yescharacteristic
1106C22×C7#58511yescharacteristic
1107C2×D7—22no—
1108C2×D7—22no—
1109C2×D7—22no—
1110C2×D7—22no—
1111C2×D7—22no—
1112C2×D7—22no—
1113C2×D7—22no—
1114C2×D7—22no—
1115C2×D7—22no—
1116C2×D7—41no—
1117C2×D7—41no—
1118C2×D7—41no—
1119C2×D7—41no—
1120C2×D7—41no—
1121C2×D7—41no—
1122C2×D7—41no—
1123C2×D7—41no—
1124C2×D7—41no—
1125C2×D7—41no—
1126C2×D7—41no—
1127C2×D7#52514yes—
1128C4×C7—22no—
1129C4×C7—22no—
1130C4×C7—22no—
1131C4×C7—22no—
1132C4×C7—22no—
1133C4×C7—22no—
1134C4×C7—41no—
1135C4×C7—41no—
1136C4×C7—41no—
1137C4×C7—41no—
1138C4×C7—41no—
1139C4×C7—41no—
1140C4×C7—41no—
1141C4×C7#54714yes—
1142Dic7—22no—
1143Dic7—22no—
1144Dic7—22no—
1145Dic7—22no—
1146Dic7—22no—
1147Dic7—22no—
1148Dic7—41no—
1149Dic7—41no—
1150Dic7—41no—
1151Dic7—41no—
1152Dic7—41no—
1153Dic7—41no—
1154Dic7—41no—
1155C24—71no—
1156C24—71no—
1157C24—71no—
1158C24C23×D711yescharacteristic
1159#41—1432no—
1160C2×Q8—142no—
1161C2×Q8—142no—
1162C2×Q8—142no—
1163C2×Q8—142no—
1164C2×Q8—142no—
1165C2×Q8—281no—
1166C2×D4—74no—
1167C2×D4—74no—
1168C2×D4—142no—
1169C2×D4—142no—
1170C2×D4—142no—
1171C2×D4—142no—
1172C2×D4—142no—
1173C2×D4—142no—
1174C2×D4—142no—
1175C2×D4—142no—
1176C2×D4—142no—
1177C2×D4—142no—
1178C2×D4—142no—
1179C2×D4—142no—
1180C2×D4—142no—
1181C2×D4—142no—
1182C2×D4—281no—
1183C2×D4—281no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—41no—
1192C22×C4—71no—
1193C22×C4—71no—
1194C22×C4—71no—
1195C22×C4—71no—
1196C22×C4—71no—
1197C22×C4—71no—
1198C22×C4—74no—
1199C22×C4—74no—
1200C22×C4—71no—
1201C22×C4—71no—
1202C22×C4—71no—
1203C22×C4—71no—
1204C22×C4—71no—
1205C22×C4—71no—
1206C22×C4—71no—
1207C22×C4—142no—
1208C22×C4—142no—
1209C22×C4—142no—
1210C22×C4—142no—
1211C22×C4—142no—
1212C22×C4—142no—
1213C22×C4—142no—
1214C22×C4—142no—
1215C22×C4—142no—
1216C22×C4—142no—
1217C22×C4—142no—
1218C22×C4—142no—
1219C22×C4—142no—
1220C22×C4—142no—
1221C22×C4—142no—
1222C22×C4—142no—
1223C22×C4—142no—
1224C22×C4—142no—
1225C22×C4—142no—
1226C22×C4—142no—
1227C22×C4—142no—
1228C22×C4—142no—
1229C22×C4—142no—
1230C22×C4—142no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—281no—
1235C22×C4—281no—
1236C22×C4—281no—
1237C22×C4—281no—
1238C22×C4D4×D714yes—
1239C22×C4C23×D711yescharacteristic
1240C22×C4C23×D711yescharacteristic
1241C22×C4C23×D711yescharacteristic
1242C22×C4C23×D711yescharacteristic
1243C22×C4C23×D711yescharacteristic
1244C22×C4C23×D711yescharacteristic
1245C22×C4C23×D711yescharacteristic
1246C22×C4C23×D711yescharacteristic
1247C22×C4C23×D711yescharacteristic
1248C22×C4C23×D711yescharacteristic
1249C22×C4C23×D711yescharacteristic
1250C22×C4C23×D711yescharacteristic
1251C22×C4C23×D711yescharacteristic
1252C22×C4C23×D711yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—74no—
1266C4⋊C4—74no—
1267C4⋊C4—142no—
1268C4⋊C4—142no—
1269C4⋊C4—142no—
1270C4⋊C4—142no—
1271C4⋊C4—142no—
1272C4⋊C4—142no—
1273C4⋊C4—142no—
1274C4⋊C4—142no—
1275C4⋊C4—142no—
1276C4⋊C4—142no—
1277C4⋊C4—142no—
1278C4⋊C4—142no—
1279C4⋊C4—142no—
1280C4⋊C4—142no—
1281C4⋊C4—142no—
1282C4⋊C4—142no—
1283C4⋊C4—142no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—281no—
1290C4⋊C4—281no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—74no—
1296C22⋊C4—74no—
1297C22⋊C4—142no—
1298C22⋊C4—142no—
1299C22⋊C4—142no—
1300C22⋊C4—142no—
1301C22⋊C4—142no—
1302C22⋊C4—142no—
1303C22⋊C4—142no—
1304C22⋊C4—142no—
1305C22⋊C4—142no—
1306C22⋊C4—142no—
1307C22⋊C4—142no—
1308C22⋊C4—142no—
1309C22⋊C4—142no—
1310C22⋊C4—142no—
1311C22⋊C4—142no—
1312C22⋊C4—142no—
1313C22⋊C4—142no—
1314C22⋊C4—142no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—281no—
1323C22⋊C4—281no—
1324C22⋊C4—281no—
1325C42—22no—
1326C42—22no—
1327C42—22no—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—74no—
1333C42—142no—
1334C42—142no—
1335C42—142no—
1336C42—142no—
1337C42—142no—
1338C42—142no—
1339C42—142no—
1340C42—142no—
1341C42—142no—
1342C42—142no—
1343C42—142no—
1344C42—142no—
1345C42#115714yescomplemented
1346C2×C7—42no—
1347C2×C7C2×#52511yescharacteristic
1348C2×C7#344411yescharacteristic
1349C2×C7#346111yescharacteristic
1350C2×C7C2×#54711yescharacteristic
1351C2×C7D4×#4111yescharacteristic
1352C2×C7#347511yescharacteristic
1353C2×C7#348211yescharacteristic
1354D7—24no—
1355D7—42no—
1356D7—81no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—72no—
1364C23—72no—
1365C23—72no—
1366C23—72no—
1367C23—141no—
1368C23—141no—
1369C23—141no—
1370C23—141no—
1371C23—141no—
1372C23—141no—
1373C23—141no—
1374C23—141no—
1375C23—141no—
1376C23—141no—
1377C23—141no—
1378C23—141no—
1379C23—141no—
1380C23—141no—
1381C23—141no—
1382C23—141no—
1383C23—141no—
1384C23C2×D4×D712yes—
1385C23C24×D711yescharacteristic
1386Q8—148no—
1387Q8—284no—
1388D4—148no—
1389D4—148no—
1390D4—148no—
1391D4—284no—
1392D4—284no—
1393D4—284no—
1394C2×C4—28no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—28no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—44no—
1430C2×C4—72no—
1431C2×C4—72no—
1432C2×C4—72no—
1433C2×C4—72no—
1434C2×C4—72no—
1435C2×C4—72no—
1436C2×C4—148no—
1437C2×C4—148no—
1438C2×C4—148no—
1439C2×C4—141no—
1440C2×C4—141no—
1441C2×C4—141no—
1442C2×C4—141no—
1443C2×C4—141no—
1444C2×C4—141no—
1445C2×C4—141no—
1446C2×C4—141no—
1447C2×C4—141no—
1448C2×C4—141no—
1449C2×C4—141no—
1450C2×C4—141no—
1451C2×C4—148no—
1452C2×C4—141no—
1453C2×C4—141no—
1454C2×C4—141no—
1455C2×C4—141no—
1456C2×C4—141no—
1457C2×C4—141no—
1458C2×C4—141no—
1459C2×C4—141no—
1460C2×C4—141no—
1461C2×C4—141no—
1462C2×C4—141no—
1463C2×C4—141no—
1464C2×C4—141no—
1465C2×C4—141no—
1466C2×C4—141no—
1467C2×C4—141no—
1468C2×C4—141no—
1469C2×C4—141no—
1470C2×C4—141no—
1471C2×C4—141no—
1472C2×C4—141no—
1473C2×C4—284no—
1474C2×C4—284no—
1475C2×C4—284no—
1476C2×C4—284no—
1477C2×C4—284no—
1478C2×C4—284no—
1479C2×C4—284no—
1480C2×C4C2×#115712yes—
1481C2×C4C2×#115712yes—
1482C2×C4C2×#115712yes—
1483C2×C4C2×D4×D712yes—
1484C2×C4C2×D4×D712yes—
1485C2×C4#655112yes—
1486C2×C4D7×#4112yes—
1487C2×C4D7×#4112yes—
1488C2×C4D7×#4112yes—
1489C7#3473511yescharacteristic, complemented, Sylow
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—74no—
1498C22—142no—
1499C22—142no—
1500C22—142no—
1501C22—142no—
1502C22—142no—
1503C22—142no—
1504C22—142no—
1505C22—142no—
1506C22—142no—
1507C22—281no—
1508C22—281no—
1509C22—281no—
1510C22—281no—
1511C22—281no—
1512C22—281no—
1513C22—281no—
1514C22—281no—
1515C22—281no—
1516C22—281no—
1517C22—281no—
1518C22C22×#115711yescharacteristic
1519C22C22×D4×D711yescharacteristic
1520C22C2×#655111yescharacteristic
1521C22C2×D7×#4111yescharacteristic
1522C22C2×D7×#4111yescharacteristic
1523C22C2×D7×#4111yescharacteristic
1524C22#9061611yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—142no—
1539C4—142no—
1540C4—142no—
1541C4—142no—
1542C4—142no—
1543C4—142no—
1544C4—281no—
1545C4—281no—
1546C4—281no—
1547C4—281no—
1548C4—281no—
1549C4—281no—
1550C4—281no—
1551C4#9019814yes—
1552C2—42no—
1553C2—144no—
1554C2—282no—
1555C2—561no—
1556C2C2×#9019811yescharacteristic
1557C2#1174290411yescharacteristic
1558C2#1174290811yescharacteristic
1559C2D7×#52511yescharacteristic
1560C2#1174310511yescharacteristic
1561C2#1174334311yescharacteristic
1562C2#1174334611yescharacteristic
subgroupG/H
centerC22×C4C23×D7
commutator, socle, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC7×#2296C2
prime radical#11732051C2
hypercenter#2296D7
hypocenterC7#34735
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ #2296

Complements

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

NH ≅ G/Ntype
1. C2×#90219C2semidirect
2. C2×C4×#1157C2semidirect
3. C7×#2296C2semidirect
4. #11739719C2semidirect
5. #11739718C2semidirect
6. #11739713C2semidirect
7. C4×#6492C2semidirect
8. #11733670C2semidirect
9. #11733667C2semidirect
10. #11733662C2semidirect
11. #11733653C2semidirect
12. #11733472C2semidirect
13. #11733469C2semidirect
14. #11733466C2semidirect
15. #11733463C2semidirect
16. #11732053C2semidirect
18. #11732049C2semidirect
19. #11732045C2semidirect
20. #11731895C2semidirect
21. #11731889C2semidirect
22. #11731881C2semidirect
23. #11731876C2semidirect
24. #11731223C2semidirect
25. C4×#6459C2semidirect
26. C4×#6457C2semidirect
27. C4×#6457C2semidirect
28. C4×#6458C2semidirect
29. #11731199C2semidirect
30. C4×D7×C4⋊C4C2semidirect
31. #11731114C2semidirect
252. C4×C22⋊D7D4semidirect
413. #2296D7semidirect
538. C42×C7#41semidirect
594. Dic7⋊C4#41semidirect
1345. C42#1157semidirect
1489. C7#34735semidirect

Maximal subgroups

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

subgroupindex
C2×#902192
C2×C4×#11572
C7×#22962
#117397192
#117397182
#117397132
C4×#64922
#117336702
#117336672
#117336622
#117336532
#117334722
#117334692
#117334662
#117334632
#117320532
#117320512
#117320492
#117320452
#117318952
#117318892
#117318812
#117318762
#117312232
C4×#64592
C4×#64572
C4×#64582
#117311992
C4×D7×C4⋊C42
#117311142
#347357