Finite Group Databasebeta

← #13526813

Subgroups — #13526813

Order 1792.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90335C211yesmaximal, characteristic, complemented
2C2×#90336C211yesmaximal, characteristic, complemented
3C7×#2549C211yesmaximal, characteristic, complemented
4#11740216C211yesmaximal, characteristic, complemented
5#11740214C211yesmaximal, characteristic, complemented
6#11735285C211yesmaximal, characteristic, complemented
7#11735283C211yesmaximal, characteristic, complemented
8#11735217C211yesmaximal, characteristic, complemented
9#11735198C211yesmaximal, characteristic, complemented
10#11734655C211yesmaximal, characteristic, complemented
11#11734654C211yesmaximal, characteristic, complemented
12#11734629C211yesmaximal, characteristic, complemented
13#11734621C211yesmaximal, characteristic, complemented
14#11734107C211yesmaximal, characteristic, complemented
15#11734051C211yesmaximal, characteristic, complemented
16#11733985C211yesmaximal, characteristic, complemented
17#11733984C211yesmaximal, characteristic, complemented
18#11733731C211yesmaximal, characteristic, complemented
19#11733636C211yesmaximal, characteristic, complemented
20#11733515C211yesmaximal, characteristic, complemented
21#11733514C211yesmaximal, characteristic, complemented
22#11732050C211yesmaximal, characteristic, complemented
23#11732037C211yesmaximal, characteristic, complemented
24#11731855C211yesmaximal, characteristic, complemented
25#11731829C211yesmaximal, characteristic, complemented
26#11731474C211yesmaximal, characteristic, complemented
27#11731310C211yesmaximal, characteristic, complemented
28#11731042C211yesmaximal, characteristic, complemented
29C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
30#11730823C211yesmaximal, characteristic, complemented
31C2×#89441C211yesmaximal, characteristic, complemented
32C2×C7×C22⋊Q8C2211yescharacteristic
33C2×C7×C22⋊Q8C2211yescharacteristic
34C2×#6510C2211yescharacteristic
35C2×#6510C2211yescharacteristic
36C2×#6510C2211yescharacteristic
37C2×#6509C2211yescharacteristic, complemented
38C2×#6509C2211yescharacteristic, complemented
39C2×#6493C2211yescharacteristic
40C2×#6493C2211yescharacteristic
41C2×#6493C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C22×(C2×D7)⋊C4C2211yescharacteristic
44C22×(C2×D7)⋊C4C2211yescharacteristic
45C22×(C2×D7)⋊C4C2211yescharacteristic
46C22×Dic7⋊C4C2211yescharacteristic
47C22×C4×Dic7C2211yescharacteristic
48#90336—28no—
49#90335—28no—
50C2×#6461C2211yescharacteristic
51C2×#6461C2211yescharacteristic
52C2×#6461C2211yescharacteristic, complemented
53C2×#6461C2211yescharacteristic, complemented
54C2×#6458C2211yescharacteristic
55C2×#6458C2211yescharacteristic
56C2×#6458C2211yescharacteristic
57C2×#6457C2211yescharacteristic
58C2×#6457C2211yescharacteristic
59C2×#6457C2211yescharacteristic, complemented
60C2×#6457C2211yescharacteristic, complemented
61C2×#6456C2211yescharacteristic, complemented
62C2×#6453C2211yescharacteristic, complemented
63C2×#6453C2211yescharacteristic, complemented
64C2×#6449C2211yescharacteristic
65C2×#6449C2211yescharacteristic
66C2×#6449C2211yescharacteristic
67C2×#6445C2211yescharacteristic
68C2×#6445C2211yescharacteristic
69C2×#6445C2211yescharacteristic
70C2×(C22⋊D7)⋊C4C2211yescharacteristic
71C2×(C22⋊D7)⋊C4C2211yescharacteristic
72C2×(C22⋊D7)⋊C4C2211yescharacteristic
73C2×(C22⋊D7)⋊C4C2211yescharacteristic
74C2×C42×D7C2211yescharacteristic, complemented
75C7×#398C2211yescharacteristic, complemented
76C7×#398C2211yescharacteristic, complemented
77C7×#395C2211yescharacteristic, complemented
78C7×#395C2211yescharacteristic, complemented
79C7×#391C2211yescharacteristic, complemented
80C7×#391C2211yescharacteristic, complemented
81C7×#389C2211yescharacteristic, complemented
82C7×#389C2211yescharacteristic, complemented
83C7×#385C2211yescharacteristic
84C7×#385C2211yescharacteristic
85C7×#380C2211yescharacteristic
86C4×C7×C22⋊C4C2211yescharacteristic
87C2×C7×#95C2211yescharacteristic
88#90003C2211yescharacteristic
89#90003C2211yescharacteristic, complemented
90#90002C2211yescharacteristic, complemented
91#89985C2211yescharacteristic
92#89985C2211yescharacteristic
93C2×C7⋊#95C2211yescharacteristic
94#89766C2211yescharacteristic
95#89766C2211yescharacteristic
96#89766C2211yescharacteristic
97#89766C2211yescharacteristic, complemented
98#89765C2211yescharacteristic
99#89765C2211yescharacteristic, complemented
100#89763C2211yescharacteristic
101#89763C2211yescharacteristic
102#89763C2211yescharacteristic
103#89763C2211yescharacteristic
104#89763C2211yescharacteristic
105#89763C2211yescharacteristic, complemented
106#89762C2211yescharacteristic
107#89762C2211yescharacteristic
108#89762C2211yescharacteristic
109#89762C2211yescharacteristic
110#89762C2211yescharacteristic, complemented
111#89762C2211yescharacteristic, complemented
112#89761C2211yescharacteristic, complemented
113#89761C2211yescharacteristic, complemented
114#89760C2211yescharacteristic
115#89760C2211yescharacteristic
116#89760C2211yescharacteristic
117#89760C2211yescharacteristic
118#89760C2211yescharacteristic, complemented
119#89759C2211yescharacteristic, complemented
120#89758C2211yescharacteristic, complemented
121#89758C2211yescharacteristic, complemented
122#89757C2211yescharacteristic, complemented
123#89749C2211yescharacteristic, complemented
124C4⋊C4×Dic7C2211yescharacteristic, complemented
125#89745C2211yescharacteristic, complemented
126#89745C2211yescharacteristic, complemented
127#89745C2211yescharacteristic, complemented
128#89730C2211yescharacteristic
129#89730C2211yescharacteristic
130#89727C2211yescharacteristic
131#89715C2211yescharacteristic
132C22⋊C4×Dic7C2211yescharacteristic
133C22⋊C4×Dic7C2211yescharacteristic
134#89711C2211yescharacteristic
135#89711C2211yescharacteristic
136#89711C2211yescharacteristic
137#89711C2211yescharacteristic
138C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
139C4×Dic7⋊C4C2211yescharacteristic, complemented
140C42×Dic7C2211yescharacteristic, complemented
141#89449C2211yescharacteristic
142#89449C2211yescharacteristic
143#89446C2211yescharacteristic, complemented
144#89446C2211yescharacteristic, complemented
145#89444C2211yescharacteristic
146#89444C2211yescharacteristic, complemented
147#89443C2211yescharacteristic
148#89443C2211yescharacteristic
149#89443C2211yescharacteristic
150#89443C2211yescharacteristic, complemented
151#89442C2211yescharacteristic
152#89442C2211yescharacteristic
153#89442C2211yescharacteristic
154#89442C2211yescharacteristic, complemented
155#89442C2211yescharacteristic, complemented
156#89442C2211yescharacteristic, complemented
157#89441C2211yescharacteristic
158#89441C2211yescharacteristic
159#89441C2211yescharacteristic
160#89441C2211yescharacteristic
161#89441C2211yescharacteristic
162#89441C2211yescharacteristic
163#89441C2211yescharacteristic
164#89441C2211yescharacteristic
165#89441C2211yescharacteristic
166#89441C2211yescharacteristic
167#89441C2211yescharacteristic, complemented
168#89441C2211yescharacteristic, complemented
169#89441C2211yescharacteristic, complemented
170#89441C2211yescharacteristic, complemented
171#89438C2211yescharacteristic, complemented
172#89438C2211yescharacteristic, complemented
173#89438C2211yescharacteristic, complemented
174#89438C2211yescharacteristic, complemented
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89437C2211yescharacteristic
178#89437C2211yescharacteristic
179#89437C2211yescharacteristic
180#89437C2211yescharacteristic, complemented
181#89437C2211yescharacteristic, complemented
182#89437C2211yescharacteristic, complemented
183#89433C2211yescharacteristic, complemented
184#89433C2211yescharacteristic, complemented
185#89426C2211yescharacteristic, complemented
186#89426C2211yescharacteristic, complemented
187#89421C2211yescharacteristic, complemented
188#89421C2211yescharacteristic, complemented
189#35009—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×Q8C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×D28C2311yescharacteristic
209C22×D28C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C7×C22⋊Q8—24no—
217C7×C22⋊Q8—24no—
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×C4⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237#6510—24no—
238#6510—24no—
239#6510—42no—
240#6509—24no—
241#6509—24no—
242#6493—24no—
243#6493—24no—
244#6493—24no—
245C4×C22⋊D7—24no—
246C2×(C2×D7)⋊C4—24no—
247C2×(C2×D7)⋊C4—24no—
248C2×(C2×D7)⋊C4—42no—
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
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
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×Dic7⋊C4—24no—
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×C4×Dic7—42no—
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
329#6461—24no—
330#6461—24no—
331#6461—24no—
332#6461—24no—
333#6458—24no—
334#6458—24no—
335#6458—42no—
336#6457—24no—
337#6457—24no—
338#6457—24no—
339#6457—24no—
340#6456—42no—
341#6453—24no—
342#6453—24no—
343#6449—24no—
344#6449—24no—
345#6449—24no—
346#6445—24no—
347#6445—24no—
348#6445—24no—
349(C22⋊D7)⋊C4—24no—
350(C22⋊D7)⋊C4—24no—
351(C22⋊D7)⋊C4—24no—
352(C22⋊D7)⋊C4D418yescomplemented
353C42×D7—42no—
354C7×#95C2311yescharacteristic
355C7×#95C2311yescharacteristic
356C7×#95C2311yescharacteristic
357C7×#95C2311yescharacteristic
358C7×#95C2311yescharacteristic
359C7×#95C2311yescharacteristic
360C7×#95C2311yescharacteristic
361C7×#95C2311yescharacteristic
362C7×#95C2311yescharacteristic
363C7×#95C2311yescharacteristic
364C7×#95C2311yescharacteristic
365C7×#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#539—71no—
387C2×#538—71no—
388#2861—71no—
389#2860—71no—
390#2854—71no—
391#2850—71no—
392#2664—71no—
393#2663—71no—
394#2662—71no—
395#2661—71no—
396#2560—71no—
397#2559—71no—
398#2558—71no—
399#2557—71no—
400#2549D711yescharacteristic, complemented
401#2543—71no—
402#2539—71no—
403#2534—71no—
404#2521—71no—
405#2519—71no—
406#2488—71no—
407#2472—71no—
408#2464—71no—
409#2461—71no—
410#2425—71no—
411#2424—71no—
412#2322—71no—
413#2321—71no—
414C4×#121—71no—
415C2×#388—71no—
416C42×D4—71no—
417C24×C7C2411yescharacteristic
418C23×D7—22no—
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—41no—
422C23×D7—41no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7C2411yescharacteristic
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C2×C7×Q8—22no—
431C2×C7×Q8—22no—
432C2×C7×Q8—41no—
433C2×C7×Q8—41no—
434C2×C7×Q8—41no—
435C2×C7×Q8—41no—
436C22×C4×C7—22no—
437C22×C4×C7—22no—
438C22×C4×C7—41no—
439C22×C4×C7—41no—
440C22×C4×C7—41no—
441C22×C4×C7—41no—
442C22×C4×C7—41no—
443C22×C4×C7—41no—
444C22×C4×C7#4114yes—
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
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⋊D7C2×D414yes—
468C22×Dic7—22no—
469C22×Dic7—22no—
470C22×Dic7—22no—
471C22×Dic7—22no—
472C22×Dic7—22no—
473C22×Dic7—41no—
474C22×Dic7—41no—
475C22×Dic7—41no—
476C22×Dic7C2×D414yes—
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C2×D28—22no—
489C2×D28—22no—
490C2×D28—22no—
491C2×D28—22no—
492C2×D28—22no—
493C2×D28—22no—
494C2×D28—22no—
495C2×D28—22no—
496C2×D28—22no—
497C2×D28—41no—
498C2×D28—41no—
499C2×D28—41no—
500C2×D28—41no—
501C2×D28—41no—
502C2×D28—41no—
503C2×D28—41no—
504C2×D28—41no—
505C2×D28—41no—
506C2×D28—41no—
507C2×D28—41no—
508C2×D28—41no—
509C2×D28—41no—
510C2×D28—41no—
511C2×D28—41no—
512C2×D28—41no—
513C2×D28—41no—
514C2×D28—41no—
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—22no—
518C2×C4×D7—22no—
519C2×C4×D7—22no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7—41no—
523C2×C4×D7—41no—
524C2×C4×D7—41no—
525C2×C4×D7—41no—
526C2×C4×D7—41no—
527C2×C4×D7—41no—
528C2×C4×D7—41no—
529C2×C4×D7C2×D414yes—
530C7×C4⋊C4—22no—
531C7×C4⋊C4—22no—
532C7×C4⋊C4—22no—
533C7×C4⋊C4—22no—
534C7×C4⋊C4—22no—
535C7×C4⋊C4—22no—
536C7×C4⋊C4—41no—
537C7×C4⋊C4—41no—
538C7×C4⋊C4—41no—
539C7×C4⋊C4—41no—
540C7×C4⋊C4—41no—
541C7×C4⋊C4—41no—
542C7×C22⋊C4—22no—
543C7×C22⋊C4—22no—
544C7×C22⋊C4C2×D414yes—
545C7×C22⋊C4#4114yes—
546C42×C7—41no—
547C42×C7—41no—
548C22⋊Dic7—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—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
572(C2×D7)⋊C4—22no—
573(C2×D7)⋊C4—22no—
574(C2×D7)⋊C4—22no—
575(C2×D7)⋊C4—22no—
576(C2×D7)⋊C4—22no—
577(C2×D7)⋊C4—22no—
578(C2×D7)⋊C4—22no—
579(C2×D7)⋊C4—22no—
580(C2×D7)⋊C4—22no—
581(C2×D7)⋊C4—22no—
582(C2×D7)⋊C4—22no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
588(C2×D7)⋊C4—41no—
589(C2×D7)⋊C4—41no—
590(C2×D7)⋊C4—41no—
591(C2×D7)⋊C4—41no—
592(C2×D7)⋊C4—41no—
593(C2×D7)⋊C4—41no—
594(C2×D7)⋊C4—41no—
595(C2×D7)⋊C4C2×D414yes—
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—
605Dic7⋊C4—22no—
606Dic7⋊C4—22no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4C2×D414yes—
614C4×Dic7—22no—
615C4×Dic7—22no—
616C4×Dic7—22no—
617C4×Dic7—22no—
618C4×Dic7—22no—
619C4×Dic7—22no—
620C4×Dic7—22no—
621C4×Dic7—41no—
622C4×Dic7—41no—
623C4×Dic7—41no—
624C4×Dic7—41no—
625C4×Dic7—41no—
626C4×Dic7C2×D414yes—
627#539—148no—
628#538—148no—
629C2×#126—71no—
630C2×#126—71no—
631C2×#126—71no—
632C2×#126—71no—
633C2×#125—71no—
634C2×#125—71no—
635C2×#124—71no—
636C2×#124—71no—
637C2×#124—71no—
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123—71no—
644C2×#123—71no—
645C2×C22⋊Q8—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8C2×D711yescharacteristic
648C2×C22⋊Q8C2×D711yescharacteristic
649C2×#121—71no—
650C2×#121—71no—
651C2×#121—71no—
652C2×#121—71no—
653C2×#121—71no—
654C2×#121—71no—
655C2×#120—71no—
656C2×#120—71no—
657C2×#120—71no—
658C2×C4×D4—71no—
659C2×C4×D4—71no—
660C2×C4×D4—71no—
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4—71no—
664C22×C4⋊C4—71no—
665C22×C22⋊C4—71no—
666C22×C22⋊C4—71no—
667C22×C22⋊C4—71no—
668C22×C42—71no—
669C22×C42—71no—
670#400—71no—
671#400—71no—
672#399—71no—
673#399—71no—
674#398—71no—
675#398—71no—
676#398C2×D711yescharacteristic, complemented
677#398C2×D711yescharacteristic, complemented
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#396—71no—
683#396—71no—
684#396—71no—
685#396—71no—
686#395C2×D711yescharacteristic, complemented
687#395C2×D711yescharacteristic, complemented
688#394—71no—
689#394—71no—
690#394—71no—
691#394—71no—
692#394—71no—
693#394—71no—
694#394—71no—
695#394—71no—
696#393—71no—
697#393—71no—
698#392—71no—
699#392—71no—
700#392—71no—
701#392—71no—
702#391—71no—
703#391C2×D711yescharacteristic, complemented
704#391C2×D711yescharacteristic, complemented
705#390—71no—
706#390—71no—
707#390—71no—
708#390—71no—
709#390—71no—
710#390—71no—
711#390—71no—
712#390—71no—
713#390—71no—
714#389—71no—
715#389—71no—
716#389—71no—
717#389—71no—
718#389C2×D711yescharacteristic, complemented
719#389C2×D711yescharacteristic, complemented
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388—71no—
728#388—71no—
729#388—71no—
730#388—71no—
731#388—71no—
732#388—71no—
733#388—71no—
734#388—71no—
735#388—71no—
736#388—71no—
737#388—71no—
738#388—71no—
739#388—71no—
740#388—71no—
741#388—71no—
742#388—71no—
743#388—71no—
744#388—71no—
745#388—71no—
746#387—71no—
747#387—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386—71no—
754#386—71no—
755#386—71no—
756#386—71no—
757#386—71no—
758#386—71no—
759#386—71no—
760#385—71no—
761#385—71no—
762#385C2×D711yescharacteristic
763#385C2×D711yescharacteristic
764#382—71no—
765#381—71no—
766#380—71no—
767#380C2×D711yescharacteristic
768#379—71no—
769C4×C4⋊C4—71no—
770C4×C4⋊C4—71no—
771C4×C4⋊C4—71no—
772C4×C4⋊C4—71no—
773C4×C22⋊C4—71no—
774C4×C22⋊C4—71no—
775C4×C22⋊C4—71no—
776C4×C22⋊C4—71no—
777C4×C22⋊C4—71no—
778C4×C22⋊C4—71no—
779C4×C22⋊C4—71no—
780C4×C22⋊C4C2×D711yescharacteristic
781C2×#95—71no—
782C2×#95C2×D711yescharacteristic
783C43—71no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7C22×D412yes—
789C23×C7C2×#4112yes—
790C23×C7C2×#4112yes—
791C23×C7C2511yescharacteristic
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
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—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—44no—
827C22×D7—44no—
828C22×D7—44no—
829C22×D7—82no—
830C22×D7—82no—
831C22×D7—82no—
832C22×D7—82no—
833C22×D7C22×D412yes—
834C7×Q8—82no—
835C7×Q8—82no—
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—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—21no—
858C2×C4×C7—21no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—21no—
872C2×C4×C7—44no—
873C2×C4×C7—82no—
874C2×C4×C7—82no—
875C2×C4×C7C22×D412yes—
876C2×C4×C7C22×D412yes—
877C2×C4×C7C2×#4112yes—
878C2×C4×C7C2×#4112yes—
879C2×C4×C7C2×#4112yes—
880C2×C4×C7C2×#4112yes—
881C22⋊D7—28no—
882C22⋊D7—44no—
883C22⋊D7—44no—
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—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—44no—
914C2×Dic7—44no—
915C2×Dic7—44no—
916C2×Dic7C22×D412yes—
917C2×Dic7C22×D412yes—
918C2×Dic7C22×D412yes—
919C2×Dic7H(5,𝔽2)12yes—
920D28—44no—
921D28—82no—
922D28—82no—
923D28—82no—
924D28—82no—
925D28—82no—
926D28—82no—
927D28—82no—
928D28—82no—
929C4×D7—44no—
930C4×D7—44no—
931C4×D7—44no—
932C4×D7—82no—
933C4×D7—82no—
934C25—71no—
935C22×Q8C22×D711yescharacteristic
936C22×Q8C22×D711yescharacteristic
937C22×D4—71no—
938C22×D4—71no—
939C22×D4—71no—
940C22×D4—71no—
941C22×D4—71no—
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4—71no—
947C22×D4—71no—
948C22×D4—71no—
949C23×C4—71no—
950C23×C4—71no—
951C23×C4—71no—
952C23×C4—71no—
953C23×C4—71no—
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4C22×D711yescharacteristic
958C23×C4C22×D711yescharacteristic
959C23×C4C22×D711yescharacteristic
960#126—144no—
961#126—144no—
962#126—144no—
963#126—144no—
964#125—144no—
965#125—144no—
966#124—144no—
967#124—144no—
968#124—282no—
969#123—144no—
970#123—144no—
971#123—144no—
972#123—144no—
973#123—144no—
974#123—144no—
975#123—144no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—144no—
979C22⋊Q8—144no—
980#121—144no—
981#121—144no—
982#121—144no—
983#121—144no—
984#121—144no—
985#121—282no—
986#120—144no—
987#120—144no—
988#120—144no—
989C4×D4—78no—
990C4×D4—144no—
991C4×D4—144no—
992C4×D4—144no—
993C4×D4—144no—
994C4×D4—282no—
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—71no—
1003C2×C4⋊C4—71no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—144no—
1014C2×C4⋊C4C22×D711yescharacteristic
1015C2×C4⋊C4C22×D711yescharacteristic
1016C2×C4⋊C4C22×D711yescharacteristic
1017C2×C4⋊C4C22×D711yescharacteristic
1018C2×C4⋊C4C22×D711yescharacteristic
1019C2×C4⋊C4C22×D711yescharacteristic
1020C2×C4⋊C4C22×D711yescharacteristic
1021C2×C4⋊C4C22×D711yescharacteristic
1022C2×C4⋊C4C22×D711yescharacteristic
1023C2×C4⋊C4C22×D711yescharacteristic
1024C2×C4⋊C4C22×D711yescharacteristic
1025C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—71no—
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—71no—
1072C2×C22⋊C4—71no—
1073C2×C22⋊C4—71no—
1074C2×C22⋊C4—144no—
1075C2×C22⋊C4—144no—
1076C2×C22⋊C4—282no—
1077C2×C22⋊C4C22×D711yescharacteristic
1078C2×C22⋊C4C22×D711yescharacteristic
1079C2×C22⋊C4C22×D711yescharacteristic
1080C2×C22⋊C4C22×D711yescharacteristic
1081C2×C42—71no—
1082C2×C42—71no—
1083C2×C42—71no—
1084C2×C42—71no—
1085C2×C42—71no—
1086C2×C42—71no—
1087C2×C42—71no—
1088C2×C42—71no—
1089C2×C42—71no—
1090C2×C42—71no—
1091C2×C42—71no—
1092C2×C42—71no—
1093C2×C42—71no—
1094C2×C42—282no—
1095C2×C42—282no—
1096C2×C42C22×D711yescharacteristic
1097C2×C42C22×D711yescharacteristic
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#95—71no—
1109#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95—71no—
1118#95C22×D711yescharacteristic
1119#95C22×D711yescharacteristic
1120#95C22×D711yescharacteristic
1121#95C22×D711yescharacteristic
1122#95C22×D711yescharacteristic
1123#95C22×D711yescharacteristic
1124#95C22×D711yescharacteristic
1125#95C22×D711yescharacteristic
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130C22×C7—22no—
1131C22×C7—22no—
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—22no—
1135C22×C7—22no—
1136C22×C7#53214yes—
1137C22×C7C23×D411yescharacteristic
1138C22×C7C22×#4111yescharacteristic
1139C22×C7C22×#4111yescharacteristic
1140C22×C7C2×H(5,𝔽2)11yescharacteristic
1141C22×C7#58511yescharacteristic
1142C22×C7#58511yescharacteristic
1143C22×C7#58511yescharacteristic
1144C2×D7—22no—
1145C2×D7—22no—
1146C2×D7—22no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C2×D7—41no—
1158C2×D7—41no—
1159C2×D7—41no—
1160C2×D7—41no—
1161C2×D7—41no—
1162C2×D7—41no—
1163C2×D7—41no—
1164C2×D7—41no—
1165C2×D7—41no—
1166C2×D7—41no—
1167C2×D7—41no—
1168C2×D7—41no—
1169C2×D7—41no—
1170C2×D7—41no—
1171C2×D7—41no—
1172C2×D7—41no—
1173C2×D7—41no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—41no—
1179C2×D7—88no—
1180C4×C7—22no—
1181C4×C7—22no—
1182C4×C7—22no—
1183C4×C7—22no—
1184C4×C7—22no—
1185C4×C7—22no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191C4×C7—41no—
1192C4×C7—41no—
1193C4×C7—41no—
1194Dic7—22no—
1195Dic7—22no—
1196Dic7—22no—
1197Dic7—22no—
1198Dic7—41no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205C24—71no—
1206C24—71no—
1207C24—71no—
1208C24—71no—
1209C24—71no—
1210C24—142no—
1211C24—142no—
1212C24—142no—
1213C24—281no—
1214C24—281no—
1215C24—281no—
1216C24—281no—
1217C24C23×D711yescharacteristic
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—41no—
1221C2×Q8—41no—
1222C2×Q8—41no—
1223C2×Q8—41no—
1224C2×D4—74no—
1225C2×D4—142no—
1226C2×D4—142no—
1227C2×D4—142no—
1228C2×D4—142no—
1229C2×D4—142no—
1230C2×D4—142no—
1231C2×D4—142no—
1232C2×D4—142no—
1233C2×D4—142no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—142no—
1237C2×D4—142no—
1238C2×D4—142no—
1239C2×D4—142no—
1240C2×D4—142no—
1241C2×D4—142no—
1242C2×D4—281no—
1243C2×D4—281no—
1244C2×D4—281no—
1245C2×D4—281no—
1246C2×D4—281no—
1247C2×D4—281no—
1248C2×D4—281no—
1249C2×D4—281no—
1250C2×D4—281no—
1251C2×D4—281no—
1252C2×D4—281no—
1253C2×D4—281no—
1254C2×D4—281no—
1255C2×D4—281no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—71no—
1269C22×C4—71no—
1270C22×C4—71no—
1271C22×C4—71no—
1272C22×C4—74no—
1273C22×C4—74no—
1274C22×C4—71no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—71no—
1279C22×C4—71no—
1280C22×C4—71no—
1281C22×C4—142no—
1282C22×C4—142no—
1283C22×C4—142no—
1284C22×C4—142no—
1285C22×C4—142no—
1286C22×C4—142no—
1287C22×C4—142no—
1288C22×C4—142no—
1289C22×C4—142no—
1290C22×C4—142no—
1291C22×C4—281no—
1292C22×C4—281no—
1293C22×C4—281no—
1294C22×C4—281no—
1295C22×C4—281no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—281no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4#116114yes—
1304C22×C4C23×D711yescharacteristic
1305C22×C4C23×D711yescharacteristic
1306C22×C4C23×D711yescharacteristic
1307C22×C4C23×D711yescharacteristic
1308C22×C4C23×D711yescharacteristic
1309C22×C4C23×D711yescharacteristic
1310C22×C4C23×D711yescharacteristic
1311C22×C4C23×D711yescharacteristic
1312C22×C4C23×D711yescharacteristic
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—74no—
1331C4⋊C4—142no—
1332C4⋊C4—142no—
1333C4⋊C4—142no—
1334C4⋊C4—142no—
1335C4⋊C4—142no—
1336C4⋊C4—142no—
1337C4⋊C4—142no—
1338C4⋊C4—142no—
1339C4⋊C4—142no—
1340C4⋊C4—142no—
1341C4⋊C4—142no—
1342C4⋊C4—142no—
1343C4⋊C4—142no—
1344C4⋊C4—142no—
1345C4⋊C4—142no—
1346C4⋊C4—142no—
1347C4⋊C4—142no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—74no—
1351C22⋊C4—142no—
1352C22⋊C4—142no—
1353C22⋊C4—142no—
1354C22⋊C4—142no—
1355C22⋊C4—142no—
1356C22⋊C4—142no—
1357C22⋊C4—142no—
1358C22⋊C4—142no—
1359C22⋊C4—142no—
1360C22⋊C4—142no—
1361C22⋊C4—142no—
1362C22⋊C4—142no—
1363C22⋊C4—142no—
1364C22⋊C4—142no—
1365C22⋊C4—142no—
1366C22⋊C4—142no—
1367C22⋊C4—142no—
1368C22⋊C4—142no—
1369C22⋊C4—142no—
1370C22⋊C4—142no—
1371C22⋊C4—142no—
1372C22⋊C4—142no—
1373C22⋊C4—142no—
1374C22⋊C4—142no—
1375C22⋊C4—142no—
1376C22⋊C4—142no—
1377C22⋊C4—142no—
1378C22⋊C4—142no—
1379C22⋊C4—142no—
1380C22⋊C4—142no—
1381C22⋊C4—142no—
1382C22⋊C4—142no—
1383C22⋊C4—142no—
1384C22⋊C4—142no—
1385C22⋊C4—142no—
1386C22⋊C4—281no—
1387C22⋊C4—281no—
1388C22⋊C4—281no—
1389C22⋊C4—281no—
1390C22⋊C4—281no—
1391C22⋊C4—281no—
1392C22⋊C4—281no—
1393C22⋊C4—281no—
1394C22⋊C4—281no—
1395C22⋊C4—281no—
1396C22⋊C4—281no—
1397C22⋊C4—281no—
1398C22⋊C4D4×D714yes—
1399C22⋊C4#116114yes—
1400C42—41no—
1401C42—41no—
1402C42—74no—
1403C42—142no—
1404C42—142no—
1405C42—142no—
1406C42—142no—
1407C42—142no—
1408C42—142no—
1409C42—142no—
1410C42—281no—
1411C42—281no—
1412C42—281no—
1413C42—281no—
1414C42—281no—
1415C2×C7—24no—
1416C2×C7C2×#53211yescharacteristic
1417C2×C7#345511yescharacteristic
1418C2×C7#345911yescharacteristic
1419C2×C7#349611yescharacteristic
1420C2×C7#350011yescharacteristic
1421C2×C7#351311yescharacteristic
1422C2×C7#352111yescharacteristic
1423D7—42no—
1424D7—81no—
1425D7—81no—
1426D7—81no—
1427D7—81no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—72no—
1433C23—141no—
1434C23—141no—
1435C23—141no—
1436C23—141no—
1437C23—141no—
1438C23—141no—
1439C23—141no—
1440C23—141no—
1441C23—141no—
1442C23—141no—
1443C23—141no—
1444C23—141no—
1445C23—141no—
1446C23—141no—
1447C23—141no—
1448C23—141no—
1449C23—141no—
1450C23—141no—
1451C23—141no—
1452C23—141no—
1453C23—141no—
1454C23—141no—
1455C23—141no—
1456C23—141no—
1457C23—141no—
1458C23—141no—
1459C23—141no—
1460C23—141no—
1461C23—141no—
1462C23—141no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—284no—
1468C23—284no—
1469C23—284no—
1470C23—562no—
1471C23—562no—
1472C23—562no—
1473C23—562no—
1474C23C2×D4×D712yes—
1475C23C2×#116112yes—
1476C23C2×#116112yes—
1477C23C24×D711yescharacteristic
1478Q8—82no—
1479Q8—82no—
1480D4—148no—
1481D4—284no—
1482D4—284no—
1483D4—284no—
1484D4—562no—
1485D4—562no—
1486D4—562no—
1487D4—562no—
1488D4—562no—
1489D4—562no—
1490D4—562no—
1491D4—562no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—44no—
1529C2×C4—72no—
1530C2×C4—72no—
1531C2×C4—72no—
1532C2×C4—72no—
1533C2×C4—82no—
1534C2×C4—82no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—141no—
1540C2×C4—141no—
1541C2×C4—141no—
1542C2×C4—141no—
1543C2×C4—141no—
1544C2×C4—141no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
1564C2×C4—284no—
1565C2×C4—284no—
1566C2×C4—284no—
1567C2×C4—284no—
1568C2×C4—284no—
1569C2×C4—284no—
1570C2×C4—562no—
1571C2×C4—562no—
1572C2×C4C2×D4×D712yes—
1573C2×C4C2×D4×D712yes—
1574C2×C4C2×#116112yes—
1575C2×C4C2×#116112yes—
1576C2×C4C2×#116112yes—
1577C2×C4C2×#116112yes—
1578C7#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—142no—
1586C22—142no—
1587C22—142no—
1588C22—281no—
1589C22—281no—
1590C22—281no—
1591C22—281no—
1592C22—281no—
1593C22—281no—
1594C22—281no—
1595C22—281no—
1596C22—281no—
1597C22—281no—
1598C22—281no—
1599C22—281no—
1600C22—281no—
1601C22—281no—
1602C22—281no—
1603C22—281no—
1604C22—281no—
1605C22—281no—
1606C22—281no—
1607C22—281no—
1608C22—281no—
1609C22—281no—
1610C22—281no—
1611C22—281no—
1612C22—281no—
1613C22—281no—
1614C22—281no—
1615C22—281no—
1616C22—281no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—568no—
1621C22#9041614yes—
1622C22C22×D4×D711yescharacteristic
1623C22C22×#116111yescharacteristic
1624C22C22×#116111yescharacteristic
1625C22#9061611yescharacteristic
1626C22#9061611yescharacteristic
1627C22D7×H(5,𝔽2)11yescharacteristic
1628C22#9061811yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—142no—
1644C4—142no—
1645C4—142no—
1646C4—142no—
1647C4—281no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C2—24no—
1655C2—282no—
1656C2—561no—
1657C2—561no—
1658C2—561no—
1659C2—561no—
1660C2C2×#9041611yescharacteristic
1661C2#1174334111yescharacteristic
1662C2#1174364011yescharacteristic
1663C2#1174370011yescharacteristic
1664C2#1174373311yescharacteristic
1665C2#1174399711yescharacteristic
1666C2#1174400311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2549C2
hypercenter#2549D7
hypocenterC7#35009
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2549

Complements

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

NH ≅ G/Ntype
1. C2×#90335C2semidirect
2. C2×#90336C2semidirect
3. C7×#2549C2semidirect
4. #11740216C2semidirect
5. #11740214C2semidirect
6. #11735285C2semidirect
7. #11735283C2semidirect
8. #11735217C2semidirect
9. #11735198C2semidirect
10. #11734655C2semidirect
11. #11734654C2semidirect
12. #11734629C2semidirect
13. #11734621C2semidirect
14. #11734107C2semidirect
15. #11734051C2semidirect
16. #11733985C2semidirect
17. #11733984C2semidirect
18. #11733731C2semidirect
19. #11733636C2semidirect
20. #11733515C2semidirect
21. #11733514C2semidirect
22. #11732050C2semidirect
23. #11732037C2semidirect
24. #11731855C2semidirect
25. #11731829C2semidirect
26. #11731474C2semidirect
27. #11731310C2semidirect
28. #11731042C2semidirect
29. C4×(C22⋊D7)⋊C4C2semidirect
30. #11730823C2semidirect
31. C2×#89441C2semidirect
37. C2×#6509C22semidirect
38. C2×#6509C22semidirect
52. C2×#6461C22semidirect
53. C2×#6461C22semidirect
59. C2×#6457C22semidirect
60. C2×#6457C22semidirect
61. C2×#6456C22semidirect
62. C2×#6453C22semidirect
63. C2×#6453C22semidirect
74. C2×C42×D7C22semidirect
75. C7×#398C22semidirect
76. C7×#398C22semidirect
77. C7×#395C22semidirect
78. C7×#395C22semidirect
79. C7×#391C22semidirect
80. C7×#391C22semidirect
81. C7×#389C22semidirect
82. C7×#389C22semidirect
89. #90003C22semidirect
90. #90002C22semidirect
97. #89766C22semidirect
99. #89765C22semidirect
105. #89763C22semidirect
110. #89762C22semidirect
111. #89762C22semidirect
112. #89761C22semidirect
113. #89761C22semidirect
118. #89760C22semidirect
119. #89759C22semidirect
120. #89758C22semidirect
121. #89758C22semidirect
122. #89757C22semidirect
123. #89749C22semidirect
124. C4⋊C4×Dic7C22semidirect
125. #89745C22semidirect
126. #89745C22semidirect
127. #89745C22semidirect
138. C4×(C2×D7)⋊C4C22semidirect
139. C4×Dic7⋊C4C22semidirect
140. C42×Dic7C22semidirect
143. #89446C22semidirect
144. #89446C22semidirect
146. #89444C22semidirect
150. #89443C22semidirect
154. #89442C22semidirect
155. #89442C22semidirect
156. #89442C22semidirect
167. #89441C22semidirect
168. #89441C22semidirect
169. #89441C22semidirect
170. #89441C22semidirect
171. #89438C22semidirect
172. #89438C22semidirect
173. #89438C22semidirect
174. #89438C22semidirect
180. #89437C22semidirect
181. #89437C22semidirect
182. #89437C22semidirect
183. #89433C22semidirect
184. #89433C22semidirect
185. #89426C22semidirect
186. #89426C22semidirect
187. #89421C22semidirect
188. #89421C22semidirect
352. (C22⋊D7)⋊C4D4semidirect
400. #2549D7semidirect
676. #398C2×D7semidirect
677. #398C2×D7semidirect
686. #395C2×D7semidirect
687. #395C2×D7semidirect
703. #391C2×D7semidirect
704. #391C2×D7semidirect
718. #389C2×D7semidirect
719. #389C2×D7semidirect
1578. C7#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#903352
C2×#903362
C7×#25492
#117402162
#117402142
#117352852
#117352832
#117352172
#117351982
#117346552
#117346542
#117346292
#117346212
#117341072
#117340512
#117339852
#117339842
#117337312
#117336362
#117335152
#117335142
#117320502
#117320372
#117318552
#117318292
#117314742
#117313102
#117310422
C4×(C22⋊D7)⋊C42
#117308232
C2×#894412
#350097