Finite Group Databasebeta

← #13562108

Subgroups — #13562108

Order 1792.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2848C211yesmaximal, characteristic, complemented
2#11741478C211yesmaximal, characteristic, complemented
3C2×#89985C211yesmaximal, characteristic, complemented
4#11740276C211yesmaximal, characteristic, complemented
5#11740261C211yesmaximal, characteristic, complemented
6#11740243C211yesmaximal, characteristic, complemented
7#11740239C211yesmaximal, characteristic, complemented
8#11740237C211yesmaximal, characteristic, complemented
9#11740210C211yesmaximal, characteristic, complemented
10#11732092C211yesmaximal, characteristic, complemented
11#11732088C211yesmaximal, characteristic, complemented
12#11732087C211yesmaximal, characteristic, complemented
13#11732082C211yesmaximal, characteristic, complemented
14#11732080C211yesmaximal, characteristic, complemented
15#11732070C211yesmaximal, characteristic, complemented
16#11732037C211yesmaximal, characteristic, complemented
17#11732036C211yesmaximal, characteristic, complemented
18#11732013C211yesmaximal, characteristic, complemented
19#11731969C211yesmaximal, characteristic, complemented
20#11731962C211yesmaximal, characteristic, complemented
21#11731949C211yesmaximal, characteristic, complemented
22#11731487C211yesmaximal, characteristic, complemented
23#11731485C211yesmaximal, characteristic, complemented
24#11731463C211yesmaximal, characteristic, complemented
25#11731428C211yesmaximal, characteristic, complemented
26#11731408C211yesmaximal, characteristic, complemented
27#11731372C211yesmaximal, characteristic, complemented
28#11731299C211yesmaximal, characteristic
29#11731298C211yesmaximal, characteristic, complemented
30#11731275C211yesmaximal, characteristic, complemented
31#11731271C211yesmaximal, characteristic, complemented
32C24×C4×C7C2211yescharacteristic
33C23×C22⋊D7C2211yescharacteristic
34C2×C7×C22⋊Q8C2211yescharacteristic
35C2×C7×C22⋊Q8C2211yescharacteristic, complemented
36C2×C7×C22⋊Q8C2211yescharacteristic, complemented
37C2×#6516C2211yescharacteristic
38C22×C22⋊Dic7C2211yescharacteristic
39C2×#6509C2211yescharacteristic, complemented
40C2×#6492C2211yescharacteristic, complemented
41C2×#6492C2211yescharacteristic, complemented
42C22×(C2×D7)⋊C4C2211yescharacteristic
43C22×(C2×D7)⋊C4C2211yescharacteristic
44C2×#6457C2211yescharacteristic, complemented
45C2×#6447C2211yescharacteristic
46C2×#6447C2211yescharacteristic
47C2×#6446C2211yescharacteristic
48C2×#6446C2211yescharacteristic
49C2×#6446C2211yescharacteristic, complemented
50C2×#6445C2211yescharacteristic
51C2×(C22⋊D7)⋊C4C2211yescharacteristic
52C2×D7×C22⋊C4C2211yescharacteristic
53C2×D7×C22⋊C4C2211yescharacteristic
54C2×#6442C2211yescharacteristic, complemented
55C7×#385C2211yescharacteristic
56C7×#385C2211yescharacteristic
57C7×#385C2211yescharacteristic, complemented
58C7×#385C2211yescharacteristic, complemented
59C7×#385C2211yescharacteristic, complemented
60C7×#385C2211yescharacteristic, complemented
61C7×#380C2211yescharacteristic
62C7×#380C2211yescharacteristic, complemented
63C7×#380C2211yescharacteristic, complemented
64C7×#379C2211yescharacteristic
65C7×#379C2211yescharacteristic
66#90019C2211yescharacteristic
67#90003C2211yescharacteristic, complemented
68#90003C2211yescharacteristic, complemented
69#90002C2211yescharacteristic, complemented
70#89985C2211yescharacteristic
71#89985C2211yescharacteristic
72#89985C2211yescharacteristic
73#89985C2211yescharacteristic
74#89985C2211yescharacteristic
75#89985C2211yescharacteristic
76#89985C2211yescharacteristic
77#89985C2211yescharacteristic
78#89985C2211yescharacteristic
79#89985C2211yescharacteristic
80#89985C2211yescharacteristic, complemented
81#89985C2211yescharacteristic, complemented
82#89983C2211yescharacteristic, complemented
83#89983C2211yescharacteristic, complemented
84#89982C2211yescharacteristic
85#89982C2211yescharacteristic
86#89982C2211yescharacteristic, complemented
87#89982C2211yescharacteristic, complemented
88C2×C7⋊#95C2211yescharacteristic
89C2×C7⋊#95C2211yescharacteristic
90#89766C2211yescharacteristic, complemented
91#89766C2211yescharacteristic, complemented
92#89766C2211yescharacteristic, complemented
93#89766C2211yescharacteristic, complemented
94#89765C2211yescharacteristic, complemented
95#89765C2211yescharacteristic, complemented
96#89764C2211yescharacteristic, complemented
97#89763C2211yescharacteristic, complemented
98#89762C2211yescharacteristic, complemented
99#89762C2211yescharacteristic, complemented
100#89761C2211yescharacteristic, complemented
101#89761C2211yescharacteristic, complemented
102#89761C2211yescharacteristic, complemented
103#89761C2211yescharacteristic, complemented
104#89761C2211yescharacteristic, complemented
105#89761C2211yescharacteristic, complemented
106#89760C2211yescharacteristic, complemented
107#89760C2211yescharacteristic, complemented
108#89759C2211yescharacteristic, complemented
109#89759C2211yescharacteristic, complemented
110#89759C2211yescharacteristic, complemented
111#89759C2211yescharacteristic, complemented
112#89758C2211yescharacteristic, complemented
113#89756C2211yescharacteristic, complemented
114#89756C2211yescharacteristic, complemented
115#89756C2211yescharacteristic, complemented
116#89755C2211yescharacteristic, complemented
117#89754C2211yescharacteristic, complemented
118#89754C2211yescharacteristic, complemented
119#89754C2211yescharacteristic, complemented
120#89754C2211yescharacteristic, complemented
121#89753C2211yescharacteristic, complemented
122#89752C2211yescharacteristic, complemented
123#89750C2211yescharacteristic, complemented
124#89744C2211yescharacteristic, complemented
125#89733C2211yescharacteristic
126#89733C2211yescharacteristic
127#89733C2211yescharacteristic, complemented
128#89732C2211yescharacteristic
129#89732C2211yescharacteristic
130#89731C2211yescharacteristic
131#89731C2211yescharacteristic
132#89731C2211yescharacteristic
133#89731C2211yescharacteristic
134#89731C2211yescharacteristic, complemented
135#89730C2211yescharacteristic
136#89730C2211yescharacteristic
137#89728C2211yescharacteristic
138#89728C2211yescharacteristic
139#89728C2211yescharacteristic
140#89728C2211yescharacteristic
141#89728C2211yescharacteristic, complemented
142#89727C2211yescharacteristic
143#89725C2211yescharacteristic, complemented
144#89724C2211yescharacteristic, complemented
145#89724C2211yescharacteristic, complemented
146#89724C2211yescharacteristic, complemented
147#89723C2211yescharacteristic, complemented
148#89723C2211yescharacteristic, complemented
149#89722C2211yescharacteristic
150#89722C2211yescharacteristic
151#89722C2211yescharacteristic
152#89721C2211yescharacteristic, complemented
153#89720C2211yescharacteristic, complemented
154#89718C2211yescharacteristic
155#89718C2211yescharacteristic
156#89718C2211yescharacteristic
157#89717C2211yescharacteristic, complemented
158#89717C2211yescharacteristic, complemented
159#89716C2211yescharacteristic, complemented
160#89714C2211yescharacteristic
161#89714C2211yescharacteristic
162C22⋊C4×Dic7C2211yescharacteristic
163#89447C2211yescharacteristic, complemented
164#89447C2211yescharacteristic, complemented
165#89446C2211yescharacteristic, complemented
166#89444C2211yescharacteristic, complemented
167#89441C2211yescharacteristic, complemented
168#89441C2211yescharacteristic, complemented
169#89440C2211yescharacteristic, complemented
170#89440C2211yescharacteristic, complemented
171#89439C2211yescharacteristic, complemented
172#89439C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89437C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176#89436C2211yescharacteristic, complemented
177C7⋊#401C2211yescharacteristic, complemented
178#89432C2211yescharacteristic, complemented
179#89431C2211yescharacteristic, complemented
180#89431C2211yescharacteristic, complemented
181#89430C2211yescharacteristic, complemented
182#89430C2211yescharacteristic, complemented
183#89430C2211yescharacteristic, complemented
184#89429C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89422C2211yescharacteristic, complemented
187#36775—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×Q8C2311yescharacteristic
191C23×C4×C7—42no—
192C23×C4×C7—42no—
193C23×C4×C7—42no—
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C22×C22⋊D7—24no—
201C22×C22⋊D7—42no—
202C22×C22⋊D7—42no—
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C22×D28C2311yescharacteristic
214C22×D28C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C7×C22⋊Q8—42no—
221C7×C22⋊Q8—42no—
222C7×C22⋊Q8—42no—
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×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244#6516—42no—
245C2×C22⋊Dic7—42no—
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259#6509—42no—
260#6492—42no—
261#6492—42no—
262C2×(C2×D7)⋊C4—42no—
263C2×(C2×D7)⋊C4—42no—
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×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
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
315#6457—42no—
316#6447—42no—
317#6447—42no—
318#6446—42no—
319#6446—42no—
320#6446—42no—
321#6445—24no—
322(C22⋊D7)⋊C4—42no—
323D7×C22⋊C4—24no—
324D7×C22⋊C4—42no—
325#6442—42no—
326C7×#95C2311yescharacteristic
327C7×#95C2311yescharacteristic
328C7×#95C2311yescharacteristic
329C7×#95C2311yescharacteristic
330C7×#95C2311yescharacteristic
331C7×#95C2311yescharacteristic
332C7⋊#95C2311yescharacteristic
333C7⋊#95C2311yescharacteristic
334C7⋊#95C2311yescharacteristic
335C7⋊#95C2311yescharacteristic
336C7⋊#95C2311yescharacteristic
337C7⋊#95C2311yescharacteristic
338C7⋊#95C2311yescharacteristic
339C7⋊#95C2311yescharacteristic
340C7⋊#95C2311yescharacteristic
341C7⋊#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
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
370#2849—71no—
371#2848D711yescharacteristic, complemented
372#2782—71no—
373#2750—71no—
374#2746—71no—
375#2746—71no—
376#2743—71no—
377#2728—71no—
378#2708—71no—
379#2708—71no—
380#2706—71no—
381#2696—71no—
382#2695—71no—
383#2693—71no—
384#2693—71no—
385#2691—71no—
386#2687—71no—
387#2681—71no—
388#2646—71no—
389#2643—71no—
390#2505—71no—
391#2480—71no—
392#2450—71no—
393#2437—71no—
394#2418—71no—
395#2412—71no—
396#2410—71no—
397#2405—71no—
398#2321—71no—
399#2315—71no—
400C2×#386—71no—
401C24×C7—22no—
402C24×C7—22no—
403C24×C7—22no—
404C24×C7—22no—
405C24×C7—22no—
406C24×C7—41no—
407C24×C7—41no—
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C24×C7C2411yescharacteristic
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7#4114yes—
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×Q8—22no—
422C2×C7×Q8—41no—
423C2×C7×Q8—41no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
427C22×C4×C7—22no—
428C22×C4×C7—22no—
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
437C22×C4×C7—41no—
438C22×C4×C7—41no—
439C22×C4×C7—41no—
440C22×C4×C7—41no—
441C22×C4×C7—41no—
442C22×C4×C7—416no—
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
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
455C2×C22⋊D7—22no—
456C2×C22⋊D7—22no—
457C2×C22⋊D7—22no—
458C2×C22⋊D7—22no—
459C2×C22⋊D7—22no—
460C2×C22⋊D7—22no—
461C2×C22⋊D7—22no—
462C2×C22⋊D7—22no—
463C2×C22⋊D7—22no—
464C2×C22⋊D7—22no—
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—22no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C2×C22⋊D7—41no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—416no—
477C22×Dic7—22no—
478C22×Dic7—22no—
479C22×Dic7—22no—
480C22×Dic7—41no—
481C22×Dic7—41no—
482C22×Dic7—41no—
483C22×Dic7—41no—
484C22×Dic7—41no—
485C22×Dic7—41no—
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C2×D28—22no—
500C2×D28—22no—
501C2×D28—41no—
502C2×D28—41no—
503C2×D28—41no—
504C2×D28—41no—
505C2×C4×D7—22no—
506C2×C4×D7—22no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4—41no—
524C7×C4⋊C4—41no—
525C7×C4⋊C4—41no—
526C7×C4⋊C4—41no—
527C7×C4⋊C4—41no—
528C7×C4⋊C4—41no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—22no—
531C7×C22⋊C4—22no—
532C7×C22⋊C4—22no—
533C7×C22⋊C4—22no—
534C7×C22⋊C4—22no—
535C7×C22⋊C4—22no—
536C7×C22⋊C4—22no—
537C7×C22⋊C4—41no—
538C7×C22⋊C4—41no—
539C7×C22⋊C4—41no—
540C7×C22⋊C4—41no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—41no—
549C22⋊Dic7—41no—
550C22⋊Dic7—41no—
551C22⋊Dic7—41no—
552C22⋊Dic7—41no—
553C22⋊Dic7—41no—
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—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581C4⋊Dic7—41no—
582C4⋊Dic7—41no—
583C4⋊Dic7—41no—
584C4⋊Dic7—41no—
585C4⋊Dic7—41no—
586C4⋊Dic7—41no—
587Dic7⋊C4—22no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598Dic7⋊C4—41no—
599Dic7⋊C4—41no—
600Dic7⋊C4—41no—
601Dic7⋊C4—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C23×D4—71no—
606C24×C4C2×D711yescharacteristic
607C2×#126—71no—
608C2×#123—71no—
609C2×#123—71no—
610C2×#123—71no—
611C2×#123—71no—
612C2×#123—71no—
613C2×#123—71no—
614C2×C22⋊Q8—71no—
615C2×C22⋊Q8C2×D711yescharacteristic
616C2×C22⋊Q8C2×D711yescharacteristic, complemented
617C2×C22⋊Q8C2×D711yescharacteristic, complemented
618C2×#121—71no—
619C2×#121—71no—
620C2×#120—71no—
621C2×#120—71no—
622C2×C4×D4—71no—
623C22×C22⋊C4—71no—
624C22×C22⋊C4—71no—
625C22×C22⋊C4—71no—
626C22×C22⋊C4—71no—
627C22×C22⋊C4—71no—
628#401—71no—
629#400—71no—
630#400—71no—
631#400—71no—
632#400—71no—
633#400—71no—
634#400—71no—
635#400—71no—
636#400—71no—
637#400—71no—
638#400—71no—
639#400—71no—
640#399—71no—
641#399—71no—
642#398—71no—
643#398—71no—
644#398—71no—
645#398—71no—
646#398—71no—
647#398—71no—
648#397—71no—
649#397—71no—
650#397—71no—
651#397—71no—
652#397—71no—
653#397—71no—
654#397—71no—
655#397—71no—
656#397—71no—
657#396—71no—
658#396—71no—
659#396—71no—
660#396—71no—
661#396—71no—
662#394—71no—
663#394—71no—
664#394—71no—
665#394—71no—
666#394—71no—
667#394—71no—
668#394—71no—
669#394—71no—
670#394—71no—
671#394—71no—
672#393—71no—
673#393—71no—
674#392—71no—
675#392—71no—
676#391—71no—
677#390—71no—
678#390—71no—
679#389—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388—71no—
687#388—71no—
688#388—71no—
689#387—71no—
690#387—71no—
691#387—71no—
692#386—71no—
693#386—71no—
694#386—71no—
695#386—71no—
696#386—71no—
697#386—71no—
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386—71no—
703#386—71no—
704#386—71no—
705#386—71no—
706#386—71no—
707#386—71no—
708#386—71no—
709#386—71no—
710#386—71no—
711#386—71no—
712#386—71no—
713#386—71no—
714#385—71no—
715#385—71no—
716#385—71no—
717#385—71no—
718#385—71no—
719#385—71no—
720#385—71no—
721#385—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#385—71no—
732#385C2×D711yescharacteristic
733#385C2×D711yescharacteristic
734#385C2×D711yescharacteristic, complemented
735#385C2×D711yescharacteristic, complemented
736#385C2×D711yescharacteristic, complemented
737#385C2×D711yescharacteristic, complemented
738#382—71no—
739#381—71no—
740#381—71no—
741#381—71no—
742#380—71no—
743#380—71no—
744#380—71no—
745#380—71no—
746#380—71no—
747#380—71no—
748#380—71no—
749#380—71no—
750#380C2×D711yescharacteristic
751#380C2×D711yescharacteristic, complemented
752#380C2×D711yescharacteristic, complemented
753#379—71no—
754#379—71no—
755#379C2×D711yescharacteristic
756#379C2×D711yescharacteristic
757C4×C22⋊C4—71no—
758C2×#95—71no—
759C2×#95—71no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—28no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—44no—
778C23×C7—44no—
779C23×C7—44no—
780C23×C7—44no—
781C23×C7—44no—
782C23×C7—44no—
783C23×C7C2×#4112yes—
784C23×C7H(5,𝔽2)12yes—
785C23×C7H(5,𝔽2)12yes—
786C23×C7H(5,𝔽2)12yes—
787C23×C72−1+412yes—
788C23×C7C2511yescharacteristic
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
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—28no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—44no—
810C22×D7—44no—
811C22×D7—82no—
812C22×D7—82no—
813C22×D7—82no—
814C22×D7—82no—
815C22×D7C2×#4112yes—
816C22×D7C2×#4112yes—
817C7×Q8—82no—
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—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—44no—
854C2×C4×C7—44no—
855C2×C4×C7—44no—
856C2×C4×C7—44no—
857C2×C4×C7—44no—
858C2×C4×C7—44no—
859C2×C4×C7H(5,𝔽2)12yes—
860C22⋊D7—44no—
861C22⋊D7—44no—
862C22⋊D7—44no—
863C22⋊D7—44no—
864C22⋊D7—44no—
865C22⋊D7—82no—
866C22⋊D7—82no—
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×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—44no—
907C2×Dic7—82no—
908C2×Dic7—82no—
909D28—82no—
910D28—82no—
911C4×D7—82no—
912C4×D7—82no—
913C4×D7—82no—
914C4×D7—82no—
915C4×D7—82no—
916C25—71no—
917C25C22×D711yescharacteristic
918C22×Q8C22×D711yescharacteristic
919C22×D4—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
927C22×D4—71no—
928C22×D4—144no—
929C22×D4—282no—
930C22×D4—282no—
931C23×C4—42no—
932C23×C4—42no—
933C23×C4—42no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4—71no—
940C23×C4—71no—
941C23×C4—71no—
942C23×C4C22×D711yescharacteristic
943C23×C4C22×D711yescharacteristic
944C23×C4C22×D711yescharacteristic
945C23×C4C22×D711yescharacteristic
946C23×C4C22×D711yescharacteristic
947C23×C4C22×D711yescharacteristic
948#126—282no—
949#123—282no—
950#123—282no—
951#123—282no—
952#123—282no—
953#123—282no—
954#123—282no—
955C22⋊Q8—42no—
956C22⋊Q8—42no—
957C22⋊Q8—42no—
958C22⋊Q8—282no—
959#121—282no—
960#121—282no—
961#120—144no—
962#120—282no—
963C4×D4—282no—
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—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
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×C4⋊C4C22×D711yescharacteristic
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⋊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—144no—
1035C2×C22⋊C4—282no—
1036C2×C22⋊C4—282no—
1037C2×C22⋊C4—282no—
1038C2×C22⋊C4—282no—
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C22⋊C4C22×D711yescharacteristic
1041C2×C22⋊C4C22×D711yescharacteristic
1042C2×C22⋊C4C22×D711yescharacteristic
1043C2×C22⋊C4C22×D711yescharacteristic
1044C2×C22⋊C4C22×D711yescharacteristic
1045C2×C22⋊C4C22×D711yescharacteristic
1046C2×C22⋊C4C22×D711yescharacteristic
1047C2×C22⋊C4C22×D711yescharacteristic
1048C2×C22⋊C4C22×D711yescharacteristic
1049C2×C22⋊C4C22×D711yescharacteristic
1050C2×C22⋊C4C22×D711yescharacteristic
1051C2×C42—71no—
1052C2×C42—71no—
1053C2×C42—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#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95—71no—
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097#95C22×D711yescharacteristic
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—22no—
1105C22×C7—22no—
1106C22×C7—22no—
1107C22×C7—22no—
1108C22×C7—22no—
1109C22×C7—22no—
1110C22×C7—416no—
1111C22×C7—41no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7#53914yes—
1120C22×C7C22×#4111yescharacteristic
1121C22×C7C2×H(5,𝔽2)11yescharacteristic
1122C22×C7C2×H(5,𝔽2)11yescharacteristic
1123C22×C7C2×H(5,𝔽2)11yescharacteristic
1124C22×C7C2×H(5,𝔽2)11yescharacteristic
1125C22×C7C2×2−1+411yescharacteristic
1126C22×C7#58511yescharacteristic
1127C2×D7—22no—
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—22no—
1132C2×D7—22no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—88no—
1149C4×C7—22no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154C4×C7—41no—
1155C4×C7—41no—
1156C4×C7—41no—
1157C4×C7—41no—
1158C4×C7—41no—
1159C4×C7—41no—
1160C4×C7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169Dic7—41no—
1170Dic7—41no—
1171Dic7—41no—
1172Dic7—41no—
1173Dic7—41no—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—22no—
1178C24—22no—
1179C24—41no—
1180C24—41no—
1181C24—71no—
1182C24—71no—
1183C24—74no—
1184C24—71no—
1185C24—142no—
1186C24—142no—
1187C24—281no—
1188C24—281no—
1189C24—281no—
1190C24—281no—
1191C24C23×D711yescharacteristic
1192C24C23×D711yescharacteristic
1193C24C23×D711yescharacteristic
1194C2×Q8—22no—
1195C2×Q8—41no—
1196C2×Q8—41no—
1197C2×D4—142no—
1198C2×D4—142no—
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—
1217C2×D4—281no—
1218C2×D4—281no—
1219C2×D4—281no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—2816no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—416no—
1244C22×C4—71no—
1245C22×C4—71no—
1246C22×C4—71no—
1247C22×C4—71no—
1248C22×C4—71no—
1249C22×C4—71no—
1250C22×C4—71no—
1251C22×C4—71no—
1252C22×C4—71no—
1253C22×C4—71no—
1254C22×C4—71no—
1255C22×C4—71no—
1256C22×C4—71no—
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—281no—
1267C22×C4—281no—
1268C22×C4—281no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4—281no—
1275C22×C4—281no—
1276C22×C4—281no—
1277C22×C4—281no—
1278C22×C4—281no—
1279C22×C4—281no—
1280C22×C4—281no—
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C22×C4C23×D711yescharacteristic
1289C22×C4C23×D711yescharacteristic
1290C22×C4C23×D711yescharacteristic
1291C22×C4C23×D711yescharacteristic
1292C22×C4C23×D711yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—142no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4—281no—
1306C4⋊C4—281no—
1307C4⋊C4—281no—
1308C4⋊C4—281no—
1309C4⋊C4—281no—
1310C4⋊C4—281no—
1311C4⋊C4—281no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C4⋊C4—281no—
1315C4⋊C4—281no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C4⋊C4—281no—
1319C4⋊C4—281no—
1320C4⋊C4—281no—
1321C4⋊C4—281no—
1322C4⋊C4—281no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
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—281no—
1350C22⋊C4—281no—
1351C22⋊C4—281no—
1352C22⋊C4—281no—
1353C22⋊C4—281no—
1354C22⋊C4—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4—281no—
1364C22⋊C4—281no—
1365C22⋊C4—281no—
1366C22⋊C4—281no—
1367C22⋊C4—281no—
1368C22⋊C4—281no—
1369C22⋊C4—281no—
1370C22⋊C4—281no—
1371C22⋊C4—281no—
1372C22⋊C4—281no—
1373C22⋊C4—281no—
1374C22⋊C4—281no—
1375C42—281no—
1376C42—281no—
1377C42—281no—
1378C2×C7—24no—
1379C2×C7—42no—
1380C2×C7—42no—
1381C2×C7C2×#53911yescharacteristic
1382C2×C7#349011yescharacteristic
1383C2×C7#350511yescharacteristic
1384C2×C7#353211yescharacteristic
1385C2×C7#353411yescharacteristic
1386C2×C7#353511yescharacteristic
1387C2×C7#353611yescharacteristic
1388D7—42no—
1389D7—42no—
1390D7—81no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—28no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—72no—
1415C23—72no—
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—148no—
1429C23—141no—
1430C23—141no—
1431C23—141no—
1432C23—141no—
1433C23—141no—
1434C23—141no—
1435C23—141no—
1436C23—284no—
1437C23—284no—
1438C23—562no—
1439C23—562no—
1440C23—562no—
1441C23—562no—
1442C23#654812yes—
1443C23#654812yes—
1444C23#655112yes—
1445C23D7×#4112yes—
1446C23#655312yes—
1447C23C24×D711yescharacteristic
1448Q8—82no—
1449D4—284no—
1450D4—284no—
1451D4—284no—
1452D4—284no—
1453D4—284no—
1454D4—562no—
1455D4—562no—
1456D4—562no—
1457D4—562no—
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—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—284no—
1539C2×C4—562no—
1540C2×C4—562no—
1541C2×C4—562no—
1542C2×C4—562no—
1543C2×C4—562no—
1544C2×C4—562no—
1545C2×C4—562no—
1546C2×C4#654812yes—
1547C7#3677511yescharacteristic, complemented, Sylow
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—416no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—142no—
1570C22—142no—
1571C22—142no—
1572C22—142no—
1573C22—142no—
1574C22—142no—
1575C22—281no—
1576C22—281no—
1577C22—281no—
1578C22—281no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22—281no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22—281no—
1588C22—281no—
1589C22—281no—
1590C22—568no—
1591C22#9032914yes—
1592C22C2×#654811yescharacteristic
1593C22C2×#654811yescharacteristic
1594C22C2×#654811yescharacteristic
1595C22C2×#655111yescharacteristic
1596C22C2×D7×#4111yescharacteristic
1597C22C2×#655311yescharacteristic
1598C22#9061611yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—281no—
1612C4—281no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C4—281no—
1621C4—281no—
1622C4—281no—
1623C4—281no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—282no—
1628C2—282no—
1629C2—561no—
1630C2#1174298911yescharacteristic
1631C2C2×#9032911yescharacteristic
1632C2#1174305711yescharacteristic
1633C2#1174305811yescharacteristic
1634C2#1174311111yescharacteristic
1635C2#1174311211yescharacteristic
1636C2#1174311811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2848C2
prime radical#11731299C2
hypercenter#2848D7
hypocenterC7#36775
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. C7×#2848C2semidirect
2. #11741478C2semidirect
3. C2×#89985C2semidirect
4. #11740276C2semidirect
5. #11740261C2semidirect
6. #11740243C2semidirect
7. #11740239C2semidirect
8. #11740237C2semidirect
9. #11740210C2semidirect
10. #11732092C2semidirect
11. #11732088C2semidirect
12. #11732087C2semidirect
13. #11732082C2semidirect
14. #11732080C2semidirect
15. #11732070C2semidirect
16. #11732037C2semidirect
17. #11732036C2semidirect
18. #11732013C2semidirect
19. #11731969C2semidirect
20. #11731962C2semidirect
21. #11731949C2semidirect
22. #11731487C2semidirect
23. #11731485C2semidirect
24. #11731463C2semidirect
25. #11731428C2semidirect
26. #11731408C2semidirect
27. #11731372C2semidirect
29. #11731298C2semidirect
30. #11731275C2semidirect
31. #11731271C2semidirect
35. C2×C7×C22⋊Q8C22semidirect
36. C2×C7×C22⋊Q8C22semidirect
39. C2×#6509C22semidirect
40. C2×#6492C22semidirect
41. C2×#6492C22semidirect
44. C2×#6457C22semidirect
49. C2×#6446C22semidirect
54. C2×#6442C22semidirect
57. C7×#385C22semidirect
58. C7×#385C22semidirect
59. C7×#385C22semidirect
60. C7×#385C22semidirect
62. C7×#380C22semidirect
63. C7×#380C22semidirect
67. #90003C22semidirect
68. #90003C22semidirect
69. #90002C22semidirect
80. #89985C22semidirect
81. #89985C22semidirect
82. #89983C22semidirect
83. #89983C22semidirect
86. #89982C22semidirect
87. #89982C22semidirect
90. #89766C22semidirect
91. #89766C22semidirect
92. #89766C22semidirect
93. #89766C22semidirect
94. #89765C22semidirect
95. #89765C22semidirect
96. #89764C22semidirect
97. #89763C22semidirect
98. #89762C22semidirect
99. #89762C22semidirect
100. #89761C22semidirect
101. #89761C22semidirect
102. #89761C22semidirect
103. #89761C22semidirect
104. #89761C22semidirect
105. #89761C22semidirect
106. #89760C22semidirect
107. #89760C22semidirect
108. #89759C22semidirect
109. #89759C22semidirect
110. #89759C22semidirect
111. #89759C22semidirect
112. #89758C22semidirect
113. #89756C22semidirect
114. #89756C22semidirect
115. #89756C22semidirect
116. #89755C22semidirect
117. #89754C22semidirect
118. #89754C22semidirect
119. #89754C22semidirect
120. #89754C22semidirect
121. #89753C22semidirect
122. #89752C22semidirect
123. #89750C22semidirect
124. #89744C22semidirect
127. #89733C22semidirect
134. #89731C22semidirect
141. #89728C22semidirect
143. #89725C22semidirect
144. #89724C22semidirect
145. #89724C22semidirect
146. #89724C22semidirect
147. #89723C22semidirect
148. #89723C22semidirect
152. #89721C22semidirect
153. #89720C22semidirect
157. #89717C22semidirect
158. #89717C22semidirect
159. #89716C22semidirect
163. #89447C22semidirect
164. #89447C22semidirect
165. #89446C22semidirect
166. #89444C22semidirect
167. #89441C22semidirect
168. #89441C22semidirect
169. #89440C22semidirect
170. #89440C22semidirect
171. #89439C22semidirect
172. #89439C22semidirect
173. #89437C22semidirect
174. #89437C22semidirect
175. #89437C22semidirect
176. #89436C22semidirect
177. C7⋊#401C22semidirect
178. #89432C22semidirect
179. #89431C22semidirect
180. #89431C22semidirect
181. #89430C22semidirect
182. #89430C22semidirect
183. #89430C22semidirect
184. #89429C22semidirect
185. #89425C22semidirect
186. #89422C22semidirect
371. #2848D7semidirect
616. C2×C22⋊Q8C2×D7semidirect
617. C2×C22⋊Q8C2×D7semidirect
734. #385C2×D7semidirect
735. #385C2×D7semidirect
736. #385C2×D7semidirect
737. #385C2×D7semidirect
751. #380C2×D7semidirect
752. #380C2×D7semidirect
1547. C7#36775semidirect

Maximal subgroups

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

subgroupindex
C7×#28482
#117414782
C2×#899852
#117402762
#117402612
#117402432
#117402392
#117402372
#117402102
#117320922
#117320882
#117320872
#117320822
#117320802
#117320702
#117320372
#117320362
#117320132
#117319692
#117319622
#117319492
#117314872
#117314852
#117314632
#117314282
#117314082
#117313722
#117312992
#117312982
#117312752
#117312712
#367757