Finite Group Databasebeta

← #13562135

Subgroups — #13562135

Order 1792.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2308C211yesmaximal, characteristic, complemented
2#11741497C211yesmaximal, characteristic, complemented
3#11741493C211yesmaximal, characteristic, complemented
4#11739572C211yesmaximal, characteristic, complemented
5C2×#89728C211yesmaximal, characteristic, complemented
6#11739555C211yesmaximal, characteristic, complemented
7#11739541C211yesmaximal, characteristic, complemented
8#11732381C211yesmaximal, characteristic, complemented
9#11732380C211yesmaximal, characteristic, complemented
10#11732377C211yesmaximal, characteristic, complemented
11#11732376C211yesmaximal, characteristic, complemented
12#11732366C211yesmaximal, characteristic, complemented
13#11732366C211yesmaximal, characteristic, complemented
14#11732361C211yesmaximal, characteristic, complemented
15#11732338C211yesmaximal, characteristic, complemented
16#11732300C211yesmaximal, characteristic, complemented
17#11732258C211yesmaximal, characteristic, complemented
18#11732253C211yesmaximal, characteristic, complemented
19#11732231C211yesmaximal, characteristic, complemented
20#11732230C211yesmaximal, characteristic, complemented
21#11732189C211yesmaximal, characteristic, complemented
22#11732172C211yesmaximal, characteristic, complemented
23#11732150C211yesmaximal, characteristic, complemented
24#11731588C211yesmaximal, characteristic, complemented
25#11731587C211yesmaximal, characteristic, complemented
26#11731586C211yesmaximal, characteristic, complemented
27#11731585C211yesmaximal, characteristic, complemented
28#11731304C211yesmaximal, characteristic, complemented
29#11731303C211yesmaximal, characteristic, complemented
30#11731302C211yesmaximal, characteristic, complemented
31#11731285C211yesmaximal, characteristic, complemented
32C23×C7×D4C2211yescharacteristic
33C23×C22⋊D7C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic, complemented
35C22×C7×C22⋊C4C2211yescharacteristic
36C22×C7×C22⋊C4C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C2×#6516C2211yescharacteristic
39C2×#6516C2211yescharacteristic
40C2×#6516C2211yescharacteristic, complemented
41C22×C22⋊Dic7C2211yescharacteristic
42C2×#6502C2211yescharacteristic
43C2×#6502C2211yescharacteristic
44C2×#6500C2211yescharacteristic
45C2×#6500C2211yescharacteristic
46C2×#6493C2211yescharacteristic, complemented
47C2×#6493C2211yescharacteristic, complemented
48C2×C4×C22⋊D7C2211yescharacteristic, complemented
49C22×(C2×D7)⋊C4C2211yescharacteristic, complemented
50C2×#6487C2211yescharacteristic, complemented
51C2×#6448C2211yescharacteristic, complemented
52C2×#6447C2211yescharacteristic, complemented
53C2×#6447C2211yescharacteristic, complemented
54C2×#6447C2211yescharacteristic, complemented
55C2×#6446C2211yescharacteristic, complemented
56C2×#6446C2211yescharacteristic, complemented
57C2×#6445C2211yescharacteristic, complemented
58C2×#6441C2211yescharacteristic, complemented
59C7×#386C2211yescharacteristic
60C7×#386C2211yescharacteristic
61C7×#386C2211yescharacteristic
62C7×#386C2211yescharacteristic
63C7×#386C2211yescharacteristic, complemented
64C7×#386C2211yescharacteristic, complemented
65C7×#386C2211yescharacteristic, complemented
66C7×#386C2211yescharacteristic, complemented
67C7×#381C2211yescharacteristic, complemented
68C7×#381C2211yescharacteristic, complemented
69C7×#379C2211yescharacteristic, complemented
70C7×#379C2211yescharacteristic, complemented
71#90019C2211yescharacteristic
72#90019C2211yescharacteristic, complemented
73#89995C2211yescharacteristic
74#89995C2211yescharacteristic
75#89995C2211yescharacteristic
76#89995C2211yescharacteristic
77#89995C2211yescharacteristic, complemented
78#89995C2211yescharacteristic, complemented
79#89994C2211yescharacteristic, complemented
80#89994C2211yescharacteristic, complemented
81#89992C2211yescharacteristic
82#89992C2211yescharacteristic
83#89992C2211yescharacteristic
84#89992C2211yescharacteristic
85#89985C2211yescharacteristic
86#89985C2211yescharacteristic
87#89985C2211yescharacteristic, complemented
88#89985C2211yescharacteristic, complemented
89#89985C2211yescharacteristic, complemented
90#89985C2211yescharacteristic, complemented
91#89984C2211yescharacteristic, complemented
92#89982C2211yescharacteristic, complemented
93#89982C2211yescharacteristic, complemented
94#89982C2211yescharacteristic, complemented
95#89982C2211yescharacteristic, complemented
96C4×C22⋊Dic7C2211yescharacteristic, complemented
97C2×C7⋊#95C2211yescharacteristic, complemented
98C2×C7⋊#95C2211yescharacteristic, complemented
99#89733C2211yescharacteristic
100#89733C2211yescharacteristic
101#89733C2211yescharacteristic, complemented
102#89733C2211yescharacteristic, complemented
103#89733C2211yescharacteristic, complemented
104#89732C2211yescharacteristic
105#89732C2211yescharacteristic
106#89732C2211yescharacteristic, complemented
107#89731C2211yescharacteristic, complemented
108#89731C2211yescharacteristic, complemented
109#89731C2211yescharacteristic, complemented
110#89730C2211yescharacteristic, complemented
111#89729C2211yescharacteristic, complemented
112#89729C2211yescharacteristic, complemented
113#89729C2211yescharacteristic, complemented
114#89729C2211yescharacteristic, complemented
115#89728C2211yescharacteristic
116#89728C2211yescharacteristic
117#89728C2211yescharacteristic
118#89728C2211yescharacteristic
119#89728C2211yescharacteristic, complemented
120#89728C2211yescharacteristic, complemented
121#89728C2211yescharacteristic, complemented
122#89728C2211yescharacteristic, complemented
123#89728C2211yescharacteristic, complemented
124#89728C2211yescharacteristic, complemented
125#89728C2211yescharacteristic, complemented
126#89728C2211yescharacteristic, complemented
127#89728C2211yescharacteristic, complemented
128#89728C2211yescharacteristic, complemented
129#89728C2211yescharacteristic, complemented
130#89727C2211yescharacteristic, complemented
131#89725C2211yescharacteristic, complemented
132#89725C2211yescharacteristic, complemented
133#89724C2211yescharacteristic, complemented
134#89724C2211yescharacteristic, complemented
135#89724C2211yescharacteristic, complemented
136#89724C2211yescharacteristic, complemented
137#89724C2211yescharacteristic, complemented
138#89723C2211yescharacteristic, complemented
139#89723C2211yescharacteristic, complemented
140#89722C2211yescharacteristic, complemented
141#89722C2211yescharacteristic, complemented
142#89721C2211yescharacteristic, complemented
143#89720C2211yescharacteristic, complemented
144#89720C2211yescharacteristic, complemented
145#89720C2211yescharacteristic, complemented
146#89719C2211yescharacteristic, complemented
147#89719C2211yescharacteristic, complemented
148#89718C2211yescharacteristic, complemented
149#89717C2211yescharacteristic, complemented
150#89717C2211yescharacteristic, complemented
151#89716C2211yescharacteristic, complemented
152#89716C2211yescharacteristic, complemented
153#89716C2211yescharacteristic, complemented
154#89714C2211yescharacteristic, complemented
155#89448C2211yescharacteristic, complemented
156#89447C2211yescharacteristic, complemented
157#89447C2211yescharacteristic, complemented
158#89446C2211yescharacteristic, complemented
159#89445C2211yescharacteristic, complemented
160#89445C2211yescharacteristic, complemented
161#89444C2211yescharacteristic, complemented
162#89442C2211yescharacteristic, complemented
163#89441C2211yescharacteristic, complemented
164#89441C2211yescharacteristic, complemented
165#89440C2211yescharacteristic, complemented
166#89440C2211yescharacteristic, complemented
167#89439C2211yescharacteristic, complemented
168#89439C2211yescharacteristic, complemented
169#89437C2211yescharacteristic, complemented
170#89437C2211yescharacteristic, complemented
171#89437C2211yescharacteristic, complemented
172#89436C2211yescharacteristic, complemented
173#89436C2211yescharacteristic, complemented
174#89436C2211yescharacteristic, complemented
175C7⋊#401C2211yescharacteristic, complemented
176C7⋊#401C2211yescharacteristic, complemented
177#89432C2211yescharacteristic, complemented
178#89432C2211yescharacteristic, complemented
179#89431C2211yescharacteristic, complemented
180#89431C2211yescharacteristic, complemented
181#89430C2211yescharacteristic, complemented
182#89430C2211yescharacteristic, complemented
183#89430C2211yescharacteristic, complemented
184#89427C2211yescharacteristic, complemented
185#89426C2211yescharacteristic, complemented
186#89423C2211yescharacteristic, complemented
187#36776—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C25×C7C2311yescharacteristic
190C24×D7C2311yescharacteristic
191C22×C7×D4—24no—
192C22×C7×D4—42no—
193C22×C7×D4—42no—
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C23×C4×C7C2311yescharacteristic
201C23×C4×C7C2311yescharacteristic
202C23×C4×C7C2311yescharacteristic
203C22×C22⋊D7—24no—
204C22×C22⋊D7—42no—
205C22×C22⋊D7—42no—
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C22×C22⋊D7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C22×C22⋊D7C2311yescharacteristic
214C22×C22⋊D7C2311yescharacteristic
215C22×C22⋊D7C2311yescharacteristic
216C22×C22⋊D7C2311yescharacteristic
217C22×C22⋊D7C2311yescharacteristic
218C22×C22⋊D7C2311yescharacteristic
219C23×Dic7C2311yescharacteristic
220C23×Dic7C2311yescharacteristic
221C23×Dic7C2311yescharacteristic
222C22×D28C2311yescharacteristic
223C22×D28C2311yescharacteristic
224C22×C4×D7—42no—
225C22×C4×D7—42no—
226C22×C4×D7—42no—
227C22×C4×D7C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×C4×D7C2311yescharacteristic
231C22×C4×D7C2311yescharacteristic
232C22×Dic14C2311yescharacteristic
233C2×C7×C22⋊C4—42no—
234C2×C7×C22⋊C4—42no—
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
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C7×C22⋊C4C2311yescharacteristic
250C2×C7×C22⋊C4C2311yescharacteristic
251#6516—24no—
252#6516—42no—
253#6516—42no—
254#6516—42no—
255C2×C22⋊Dic7—42no—
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265C2×C22⋊Dic7C2311yescharacteristic
266C2×C22⋊Dic7C2311yescharacteristic
267C2×C22⋊Dic7C2311yescharacteristic
268C2×C22⋊Dic7C2311yescharacteristic
269C2×C22⋊Dic7C2311yescharacteristic
270C2×C22⋊Dic7C2311yescharacteristic
271C2×C22⋊Dic7C2311yescharacteristic
272C2×C22⋊Dic7C2311yescharacteristic
273C2×C22⋊Dic7C2311yescharacteristic
274C2×C22⋊Dic7C2311yescharacteristic
275C2×C22⋊Dic7C2311yescharacteristic
276C2×C22⋊Dic7C2311yescharacteristic
277C2×C22⋊Dic7C2311yescharacteristic
278C2×C22⋊Dic7C2311yescharacteristic
279#6502—42no—
280#6502—42no—
281#6500—42no—
282#6500—42no—
283#6493—42no—
284#6493—42no—
285C4×C22⋊D7—42no—
286C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
301C2×(C2×D7)⋊C4C2311yescharacteristic
302C2×(C2×D7)⋊C4C2311yescharacteristic
303C2×(C2×D7)⋊C4C2311yescharacteristic
304C2×(C2×D7)⋊C4C2311yescharacteristic
305C2×(C2×D7)⋊C4C2311yescharacteristic
306C2×(C2×D7)⋊C4C2311yescharacteristic
307C2×(C2×D7)⋊C4C2311yescharacteristic
308C2×C4⋊Dic7C2311yescharacteristic
309C2×C4⋊Dic7C2311yescharacteristic
310C2×C4⋊Dic7C2311yescharacteristic
311C2×C4⋊Dic7C2311yescharacteristic
312C2×C4⋊Dic7C2311yescharacteristic
313#6487—42no—
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×Dic7⋊C4C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328#6448—42no—
329#6447—42no—
330#6447—42no—
331#6447—42no—
332#6446—42no—
333#6446—42no—
334#6445—42no—
335#6441—42no—
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
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376#2849—71no—
377#2847—71no—
378#2778—71no—
379#2778—71no—
380#2760—71no—
381#2750—71no—
382#2749—71no—
383#2749—71no—
384#2743—71no—
385#2703—71no—
386#2697—71no—
387#2696—71no—
388#2688—71no—
389#2688—71no—
390#2684—71no—
391#2678—71no—
392#2676—71no—
393#2668—71no—
394#2643—71no—
395#2639—71no—
396#2510—71no—
397#2472—71no—
398#2444—71no—
399#2437—71no—
400#2424—71no—
401#2410—71no—
402#2410—71no—
403#2403—71no—
404#2321—71no—
405#2308D711yescharacteristic, complemented
406C2×#386—71no—
407C24×C7—22no—
408C24×C7—22no—
409C24×C7—22no—
410C24×C7—41no—
411C24×C7—41no—
412C24×C7—41no—
413C24×C7—41no—
414C24×C7—41no—
415C24×C7—41no—
416C24×C7—41no—
417C24×C7—41no—
418C24×C7—41no—
419C24×C7—41no—
420C24×C7#4114yes—
421C24×C7C2411yescharacteristic
422C24×C7C2411yescharacteristic
423C24×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C23×D7—22no—
427C23×D7—22no—
428C23×D7—22no—
429C23×D7—22no—
430C23×D7—22no—
431C23×D7—41no—
432C23×D7—41no—
433C23×D7C2411yescharacteristic
434C23×D7C2411yescharacteristic
435C23×D7C2411yescharacteristic
436C2×C7×D4—22no—
437C2×C7×D4—22no—
438C2×C7×D4—22no—
439C2×C7×D4—22no—
440C2×C7×D4—22no—
441C2×C7×D4—22no—
442C2×C7×D4—22no—
443C2×C7×D4—22no—
444C2×C7×D4—41no—
445C2×C7×D4—41no—
446C2×C7×D4—41no—
447C2×C7×D4—41no—
448C2×C7×D4—416no—
449C22×C4×C7—22no—
450C22×C4×C7—22no—
451C22×C4×C7—22no—
452C22×C4×C7—41no—
453C22×C4×C7—41no—
454C22×C4×C7—41no—
455C22×C4×C7—41no—
456C22×C4×C7—41no—
457C22×C4×C7—41no—
458C22×C4×C7—41no—
459C22×C4×C7—41no—
460C22×C4×C7—41no—
461C22×C4×C7—41no—
462C22×C4×C7—41no—
463C22×C4×C7—41no—
464C22×C4×C7C2411yescharacteristic
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C22×C4×C7C2411yescharacteristic
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C22×C4×C7C2411yescharacteristic
472C22×C4×C7C2411yescharacteristic
473C22×C4×C7C2411yescharacteristic
474C2×C22⋊D7—22no—
475C2×C22⋊D7—22no—
476C2×C22⋊D7—22no—
477C2×C22⋊D7—22no—
478C2×C22⋊D7—22no—
479C2×C22⋊D7—22no—
480C2×C22⋊D7—22no—
481C2×C22⋊D7—22no—
482C2×C22⋊D7—22no—
483C2×C22⋊D7—22no—
484C2×C22⋊D7—22no—
485C2×C22⋊D7—22no—
486C2×C22⋊D7—22no—
487C2×C22⋊D7—22no—
488C2×C22⋊D7—22no—
489C2×C22⋊D7—22no—
490C2×C22⋊D7—22no—
491C2×C22⋊D7—22no—
492C2×C22⋊D7—41no—
493C2×C22⋊D7—41no—
494C2×C22⋊D7—41no—
495C2×C22⋊D7—41no—
496C2×C22⋊D7—41no—
497C2×C22⋊D7—41no—
498C2×C22⋊D7—41no—
499C2×C22⋊D7—41no—
500C2×C22⋊D7—41no—
501C2×C22⋊D7—41no—
502C2×C22⋊D7—41no—
503C2×C22⋊D7—41no—
504C2×C22⋊D7—41no—
505C2×C22⋊D7—41no—
506C2×C22⋊D7—41no—
507C2×C22⋊D7—41no—
508C2×C22⋊D7—41no—
509C2×C22⋊D7—41no—
510C2×C22⋊D7—41no—
511C2×C22⋊D7—41no—
512C2×C22⋊D7—41no—
513C2×C22⋊D7—416no—
514C22×Dic7—22no—
515C22×Dic7—22no—
516C22×Dic7—22no—
517C22×Dic7—22no—
518C22×Dic7—41no—
519C22×Dic7—41no—
520C22×Dic7—41no—
521C22×Dic7—41no—
522C22×Dic7—41no—
523C22×Dic7C2411yescharacteristic
524C22×Dic7C2411yescharacteristic
525C22×Dic7C2411yescharacteristic
526C22×Dic7C2411yescharacteristic
527C22×Dic7C2411yescharacteristic
528C22×Dic7C2411yescharacteristic
529C22×Dic7C2411yescharacteristic
530C22×Dic7C2411yescharacteristic
531C22×Dic7C2411yescharacteristic
532C22×Dic7C2411yescharacteristic
533C22×Dic7C2411yescharacteristic
534C22×Dic7C2411yescharacteristic
535C22×Dic7C2411yescharacteristic
536C2×D28—22no—
537C2×D28—22no—
538C2×D28—41no—
539C2×D28—41no—
540C2×D28—41no—
541C2×D28—41no—
542C2×C4×D7—22no—
543C2×C4×D7—22no—
544C2×C4×D7—22no—
545C2×C4×D7—22no—
546C2×C4×D7—41no—
547C2×C4×D7—41no—
548C2×C4×D7—41no—
549C2×C4×D7—41no—
550C2×C4×D7—41no—
551C2×C4×D7—41no—
552C2×C4×D7—41no—
553C2×C4×D7—41no—
554C2×C4×D7—416no—
555C2×C4×D7—41no—
556C2×C4×D7—41no—
557C2×C4×D7—41no—
558C2×Dic14—41no—
559C2×Dic14—41no—
560C2×Dic14—41no—
561C7×C22⋊C4—22no—
562C7×C22⋊C4—22no—
563C7×C22⋊C4—41no—
564C7×C22⋊C4—41no—
565C7×C22⋊C4—41no—
566C7×C22⋊C4—41no—
567C7×C22⋊C4—41no—
568C7×C22⋊C4—41no—
569C7×C22⋊C4—41no—
570C7×C22⋊C4—41no—
571C7×C22⋊C4—41no—
572C7×C22⋊C4—41no—
573C7×C22⋊C4—41no—
574C7×C22⋊C4—41no—
575C7×C22⋊C4—41no—
576C7×C22⋊C4—41no—
577C22⋊Dic7—22no—
578C22⋊Dic7—22no—
579C22⋊Dic7—22no—
580C22⋊Dic7—22no—
581C22⋊Dic7—22no—
582C22⋊Dic7—22no—
583C22⋊Dic7—22no—
584C22⋊Dic7—22no—
585C22⋊Dic7—41no—
586C22⋊Dic7—41no—
587C22⋊Dic7—41no—
588C22⋊Dic7—41no—
589C22⋊Dic7—41no—
590C22⋊Dic7—41no—
591C22⋊Dic7—41no—
592C22⋊Dic7—41no—
593C22⋊Dic7—41no—
594C22⋊Dic7—41no—
595C22⋊Dic7—41no—
596C22⋊Dic7—41no—
597C22⋊Dic7—41no—
598C22⋊Dic7—41no—
599C22⋊Dic7—41no—
600(C2×D7)⋊C4—22no—
601(C2×D7)⋊C4—22no—
602(C2×D7)⋊C4—22no—
603(C2×D7)⋊C4—22no—
604(C2×D7)⋊C4—41no—
605(C2×D7)⋊C4—41no—
606(C2×D7)⋊C4—41no—
607(C2×D7)⋊C4—41no—
608(C2×D7)⋊C4—41no—
609(C2×D7)⋊C4—41no—
610(C2×D7)⋊C4—41no—
611(C2×D7)⋊C4—41no—
612(C2×D7)⋊C4—41no—
613(C2×D7)⋊C4—41no—
614(C2×D7)⋊C4—41no—
615(C2×D7)⋊C4—41no—
616(C2×D7)⋊C4—41no—
617(C2×D7)⋊C4—41no—
618(C2×D7)⋊C4—41no—
619(C2×D7)⋊C4—41no—
620(C2×D7)⋊C4—41no—
621C4⋊Dic7—22no—
622C4⋊Dic7—41no—
623C4⋊Dic7—41no—
624C4⋊Dic7—41no—
625C4⋊Dic7—41no—
626Dic7⋊C4—22no—
627Dic7⋊C4—41no—
628Dic7⋊C4—41no—
629Dic7⋊C4—41no—
630Dic7⋊C4—41no—
631Dic7⋊C4—41no—
632Dic7⋊C4—41no—
633Dic7⋊C4—41no—
634Dic7⋊C4—41no—
635Dic7⋊C4—41no—
636Dic7⋊C4—41no—
637C4×Dic7—41no—
638C4×Dic7—41no—
639C4×Dic7—41no—
640C23×D4—71no—
641C23×D4C2×D711yescharacteristic
642C24×C4—71no—
643C2×#124—71no—
644C2×#123—71no—
645C2×#123—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×#121—71no—
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×#120—71no—
659C2×#120—71no—
660C2×#120—71no—
661C2×#120—71no—
662C2×C4×D4—71no—
663C22×C22⋊C4—71no—
664C22×C22⋊C4—71no—
665C22×C22⋊C4C2×D711yescharacteristic
666C22×C22⋊C4C2×D711yescharacteristic
667#401—71no—
668#401—71no—
669#400—71no—
670#400—71no—
671#400—71no—
672#400—71no—
673#400—71no—
674#400—71no—
675#400—71no—
676#399—71no—
677#397—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#397—71no—
683#397—71no—
684#397—71no—
685#397—71no—
686#397—71no—
687#396—71no—
688#396—71no—
689#396—71no—
690#396—71no—
691#394—71no—
692#394—71no—
693#394—71no—
694#394—71no—
695#394—71no—
696#394—71no—
697#394—71no—
698#394—71no—
699#394—71no—
700#394—71no—
701#394—71no—
702#393—71no—
703#393—71no—
704#393—71no—
705#393—71no—
706#392—71no—
707#392—71no—
708#392—71no—
709#392—71no—
710#392—71no—
711#392—71no—
712#392—71no—
713#392—71no—
714#392—71no—
715#390—71no—
716#390—71no—
717#390—71no—
718#390—71no—
719#388—71no—
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#387—71no—
730#387—71no—
731#386—71no—
732#386—71no—
733#386—71no—
734#386—71no—
735#386—71no—
736#386—71no—
737#386—71no—
738#386—71no—
739#386—71no—
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—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#386C2×D711yescharacteristic
761#386C2×D711yescharacteristic
762#386C2×D711yescharacteristic
763#386C2×D711yescharacteristic
764#386C2×D711yescharacteristic, complemented
765#386C2×D711yescharacteristic, complemented
766#386C2×D711yescharacteristic, complemented
767#386C2×D711yescharacteristic, complemented
768#385—71no—
769#385—71no—
770#385—71no—
771#385—71no—
772#385—71no—
773#385—71no—
774#385—71no—
775#385—71no—
776#385—71no—
777#383—71no—
778#381—71no—
779#381—71no—
780#381—71no—
781#381C2×D711yescharacteristic, complemented
782#381C2×D711yescharacteristic, complemented
783#380—71no—
784#380—71no—
785#380—71no—
786#380—71no—
787#379—71no—
788#379—71no—
789#379—71no—
790#379C2×D711yescharacteristic, complemented
791#379C2×D711yescharacteristic, complemented
792C4×C22⋊C4—71no—
793C2×#95—71no—
794C2×#95—71no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—21no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—28no—
812C23×C7—21no—
813C23×C7—21no—
814C23×C7—21no—
815C23×C7—21no—
816C23×C7—21no—
817C23×C7—21no—
818C23×C7—21no—
819C23×C7—21no—
820C23×C7—21no—
821C23×C7—21no—
822C23×C7—21no—
823C23×C7—21no—
824C23×C7—21no—
825C23×C7—21no—
826C23×C7—44no—
827C23×C7—44no—
828C23×C7—44no—
829C23×C7—82no—
830C23×C7—82no—
831C23×C7—82no—
832C23×C7—82no—
833C23×C7—82no—
834C23×C7—82no—
835C23×C7—82no—
836C23×C7—82no—
837C23×C7—82no—
838C23×C7—82no—
839C23×C7C2×#4112yes—
840C23×C7C2×#4112yes—
841C23×C7C2×#4112yes—
842C23×C7H(5,𝔽2)12yes—
843C23×C7H(5,𝔽2)12yes—
844C23×C7C2511yescharacteristic
845C22×D7—28no—
846C22×D7—21no—
847C22×D7—21no—
848C22×D7—21no—
849C22×D7—21no—
850C22×D7—21no—
851C22×D7—21no—
852C22×D7—21no—
853C22×D7—21no—
854C22×D7—21no—
855C22×D7—21no—
856C22×D7—21no—
857C22×D7—21no—
858C22×D7—21no—
859C22×D7—21no—
860C22×D7—21no—
861C22×D7—21no—
862C22×D7—21no—
863C22×D7—21no—
864C22×D7—21no—
865C22×D7—44no—
866C22×D7—44no—
867C22×D7—44no—
868C22×D7—44no—
869C22×D7—44no—
870C22×D7—44no—
871C22×D7H(5,𝔽2)12yes—
872C22×D7H(5,𝔽2)12yes—
873C7×D4—44no—
874C7×D4—44no—
875C7×D4—44no—
876C7×D4—44no—
877C2×C4×C7—21no—
878C2×C4×C7—21no—
879C2×C4×C7—21no—
880C2×C4×C7—21no—
881C2×C4×C7—21no—
882C2×C4×C7—21no—
883C2×C4×C7—21no—
884C2×C4×C7—21no—
885C2×C4×C7—21no—
886C2×C4×C7—21no—
887C2×C4×C7—21no—
888C2×C4×C7—21no—
889C2×C4×C7—21no—
890C2×C4×C7—21no—
891C2×C4×C7—21no—
892C2×C4×C7—21no—
893C2×C4×C7—21no—
894C2×C4×C7—21no—
895C2×C4×C7—21no—
896C2×C4×C7—21no—
897C2×C4×C7—21no—
898C2×C4×C7—21no—
899C2×C4×C7—21no—
900C2×C4×C7—21no—
901C2×C4×C7—21no—
902C2×C4×C7—21no—
903C2×C4×C7—21no—
904C2×C4×C7—21no—
905C2×C4×C7—21no—
906C2×C4×C7—21no—
907C2×C4×C7—44no—
908C2×C4×C7—44no—
909C2×C4×C7—82no—
910C2×C4×C7—82no—
911C2×C4×C7—82no—
912C22⋊D7—44no—
913C22⋊D7—44no—
914C22⋊D7—44no—
915C22⋊D7—44no—
916C22⋊D7—44no—
917C22⋊D7—82no—
918C22⋊D7—82no—
919C22⋊D7—82no—
920C22⋊D7—82no—
921C22⋊D7—82no—
922C22⋊D7—82no—
923C22⋊D7—82no—
924C22⋊D7—82no—
925C2×Dic7—21no—
926C2×Dic7—21no—
927C2×Dic7—21no—
928C2×Dic7—21no—
929C2×Dic7—21no—
930C2×Dic7—21no—
931C2×Dic7—21no—
932C2×Dic7—21no—
933C2×Dic7—21no—
934C2×Dic7—21no—
935C2×Dic7—21no—
936C2×Dic7—21no—
937C2×Dic7—21no—
938C2×Dic7—21no—
939C2×Dic7—21no—
940C2×Dic7—21no—
941C2×Dic7—21no—
942C2×Dic7—21no—
943C2×Dic7—21no—
944C2×Dic7—21no—
945C2×Dic7—21no—
946C2×Dic7—21no—
947C2×Dic7—21no—
948C2×Dic7—21no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—21no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—21no—
958C2×Dic7—21no—
959C2×Dic7—21no—
960C2×Dic7—21no—
961C2×Dic7—21no—
962C2×Dic7—21no—
963C2×Dic7—44no—
964C2×Dic7—44no—
965C2×Dic7—82no—
966C2×Dic7H(5,𝔽2)12yes—
967D28—82no—
968D28—82no—
969C4×D7—44no—
970C4×D7—44no—
971C4×D7—44no—
972C4×D7—44no—
973C4×D7—82no—
974Dic14—82no—
975C25—71no—
976C25C22×D711yescharacteristic
977C25C22×D711yescharacteristic
978C22×Q8—71no—
979C22×D4—24no—
980C22×D4—42no—
981C22×D4—42no—
982C22×D4—71no—
983C22×D4—71no—
984C22×D4—71no—
985C22×D4—71no—
986C22×D4—71no—
987C22×D4—71no—
988C22×D4—71no—
989C22×D4—71no—
990C22×D4—71no—
991C22×D4—71no—
992C22×D4—71no—
993C22×D4—71no—
994C22×D4—71no—
995C22×D4—71no—
996C22×D4—71no—
997C22×D4—144no—
998C22×D4—282no—
999C22×D4—282no—
1000C22×D4C22×D711yescharacteristic
1001C22×D4C22×D711yescharacteristic
1002C22×D4C22×D711yescharacteristic
1003C22×D4C22×D711yescharacteristic
1004C23×C4—71no—
1005C23×C4—71no—
1006C23×C4—71no—
1007C23×C4—71no—
1008C23×C4—71no—
1009C23×C4—71no—
1010C23×C4—71no—
1011C23×C4—71no—
1012C23×C4—282no—
1013C23×C4—282no—
1014C23×C4—282no—
1015C23×C4C22×D711yescharacteristic
1016C23×C4C22×D711yescharacteristic
1017C23×C4C22×D711yescharacteristic
1018C23×C4C22×D711yescharacteristic
1019C23×C4C22×D711yescharacteristic
1020#124—282no—
1021#123—282no—
1022#123—282no—
1023C22⋊Q8—282no—
1024C22⋊Q8—282no—
1025#121—282no—
1026#121—282no—
1027#121—282no—
1028#121—282no—
1029#121—282no—
1030#121—282no—
1031#121—282no—
1032#120—144no—
1033#120—282no—
1034#120—282no—
1035#120—282no—
1036#120—282no—
1037#120—282no—
1038#120—282no—
1039C4×D4—282no—
1040C2×C4⋊C4—71no—
1041C2×C4⋊C4—71no—
1042C2×C4⋊C4—71no—
1043C2×C4⋊C4—71no—
1044C2×C4⋊C4—71no—
1045C2×C4⋊C4—71no—
1046C2×C4⋊C4—71no—
1047C2×C4⋊C4—71no—
1048C2×C4⋊C4—71no—
1049C2×C4⋊C4—71no—
1050C2×C4⋊C4—71no—
1051C2×C4⋊C4—71no—
1052C2×C4⋊C4—71no—
1053C2×C4⋊C4—71no—
1054C2×C4⋊C4—71no—
1055C2×C4⋊C4—71no—
1056C2×C22⋊C4—42no—
1057C2×C22⋊C4—42no—
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—71no—
1075C2×C22⋊C4—71no—
1076C2×C22⋊C4—71no—
1077C2×C22⋊C4—71no—
1078C2×C22⋊C4—71no—
1079C2×C22⋊C4—71no—
1080C2×C22⋊C4—71no—
1081C2×C22⋊C4—71no—
1082C2×C22⋊C4—71no—
1083C2×C22⋊C4—71no—
1084C2×C22⋊C4—71no—
1085C2×C22⋊C4—71no—
1086C2×C22⋊C4—71no—
1087C2×C22⋊C4—71no—
1088C2×C22⋊C4—71no—
1089C2×C22⋊C4—71no—
1090C2×C22⋊C4—71no—
1091C2×C22⋊C4—71no—
1092C2×C22⋊C4—71no—
1093C2×C22⋊C4—71no—
1094C2×C22⋊C4—71no—
1095C2×C22⋊C4—71no—
1096C2×C22⋊C4—71no—
1097C2×C22⋊C4—71no—
1098C2×C22⋊C4—71no—
1099C2×C22⋊C4—71no—
1100C2×C22⋊C4—71no—
1101C2×C22⋊C4—71no—
1102C2×C22⋊C4—282no—
1103C2×C22⋊C4—282no—
1104C2×C22⋊C4C22×D711yescharacteristic
1105C2×C22⋊C4C22×D711yescharacteristic
1106C2×C22⋊C4C22×D711yescharacteristic
1107C2×C22⋊C4C22×D711yescharacteristic
1108C2×C22⋊C4C22×D711yescharacteristic
1109C2×C22⋊C4C22×D711yescharacteristic
1110C2×C22⋊C4C22×D711yescharacteristic
1111C2×C22⋊C4C22×D711yescharacteristic
1112C2×C22⋊C4C22×D711yescharacteristic
1113C2×C22⋊C4C22×D711yescharacteristic
1114C2×C22⋊C4C22×D711yescharacteristic
1115C2×C22⋊C4C22×D711yescharacteristic
1116C2×C22⋊C4C22×D711yescharacteristic
1117C2×C22⋊C4C22×D711yescharacteristic
1118C2×C22⋊C4C22×D711yescharacteristic
1119C2×C22⋊C4C22×D711yescharacteristic
1120C2×C42—71no—
1121C2×C42—71no—
1122C2×C42—71no—
1123#95—71no—
1124#95—71no—
1125#95—71no—
1126#95—71no—
1127#95—71no—
1128#95—71no—
1129#95—71no—
1130#95—71no—
1131#95—71no—
1132#95—71no—
1133#95—71no—
1134#95—71no—
1135#95—71no—
1136#95—71no—
1137#95—71no—
1138#95—71no—
1139#95—71no—
1140#95—71no—
1141#95—71no—
1142#95—71no—
1143#95—71no—
1144#95—71no—
1145#95—71no—
1146#95—71no—
1147#95—71no—
1148#95—71no—
1149#95—71no—
1150#95—71no—
1151#95—71no—
1152#95—71no—
1153#95—71no—
1154#95—71no—
1155#95C22×D711yescharacteristic
1156#95C22×D711yescharacteristic
1157#95C22×D711yescharacteristic
1158#95C22×D711yescharacteristic
1159#95C22×D711yescharacteristic
1160#95C22×D711yescharacteristic
1161#95C22×D711yescharacteristic
1162#95C22×D711yescharacteristic
1163C22×C7—22no—
1164C22×C7—22no—
1165C22×C7—22no—
1166C22×C7—22no—
1167C22×C7—22no—
1168C22×C7—22no—
1169C22×C7—22no—
1170C22×C7—22no—
1171C22×C7—22no—
1172C22×C7—22no—
1173C22×C7—22no—
1174C22×C7—22no—
1175C22×C7—41no—
1176C22×C7—41no—
1177C22×C7—41no—
1178C22×C7—41no—
1179C22×C7—41no—
1180C22×C7—41no—
1181C22×C7—41no—
1182C22×C7—41no—
1183C22×C7—41no—
1184C22×C7—41no—
1185C22×C7—41no—
1186C22×C7—41no—
1187C22×C7—41no—
1188C22×C7—41no—
1189C22×C7—41no—
1190C22×C7—41no—
1191C22×C7—41no—
1192C22×C7—41no—
1193C22×C7—41no—
1194C22×C7—41no—
1195C22×C7—41no—
1196C22×C7—41no—
1197C22×C7—88no—
1198C22×C7—88no—
1199C22×C7#53814yes—
1200C22×C7C22×#4111yescharacteristic
1201C22×C7C2×H(5,𝔽2)11yescharacteristic
1202C22×C7C2×H(5,𝔽2)11yescharacteristic
1203C22×C7C2×H(5,𝔽2)11yescharacteristic
1204C22×C7C2×H(5,𝔽2)11yescharacteristic
1205C22×C7C2×H(5,𝔽2)11yescharacteristic
1206C22×C7#58511yescharacteristic
1207C2×D7—22no—
1208C2×D7—22no—
1209C2×D7—22no—
1210C2×D7—22no—
1211C2×D7—22no—
1212C2×D7—22no—
1213C2×D7—416no—
1214C2×D7—41no—
1215C2×D7—41no—
1216C2×D7—41no—
1217C2×D7—41no—
1218C2×D7—41no—
1219C2×D7—41no—
1220C2×D7—41no—
1221C2×D7—41no—
1222C2×D7—41no—
1223C2×D7—41no—
1224C2×D7—41no—
1225C2×D7—41no—
1226C2×D7—41no—
1227C2×D7—41no—
1228C2×D7—41no—
1229C4×C7—41no—
1230C4×C7—41no—
1231C4×C7—41no—
1232C4×C7—41no—
1233C4×C7—41no—
1234C4×C7—41no—
1235C4×C7—41no—
1236C4×C7—41no—
1237C4×C7—41no—
1238C4×C7—41no—
1239Dic7—22no—
1240Dic7—41no—
1241Dic7—41no—
1242Dic7—41no—
1243Dic7—41no—
1244Dic7—41no—
1245Dic7—41no—
1246Dic7—41no—
1247Dic7—41no—
1248Dic7—41no—
1249Dic7—41no—
1250Dic7—41no—
1251Dic7—41no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—41no—
1256C24—41no—
1257C24—41no—
1258C24—41no—
1259C24—41no—
1260C24—41no—
1261C24—41no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—71no—
1266C24—71no—
1267C24—71no—
1268C24—142no—
1269C24—142no—
1270C24—142no—
1271C24—142no—
1272C24—142no—
1273C24—281no—
1274C24—281no—
1275C24#115714yes—
1276C24C23×D711yescharacteristic
1277C24C23×D711yescharacteristic
1278C24C23×D711yescharacteristic
1279C24C23×D711yescharacteristic
1280C24C23×D711yescharacteristic
1281C2×Q8—281no—
1282C2×Q8—281no—
1283C2×Q8—281no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—416no—
1297C2×D4—142no—
1298C2×D4—142no—
1299C2×D4—142no—
1300C2×D4—142no—
1301C2×D4—142no—
1302C2×D4—142no—
1303C2×D4—142no—
1304C2×D4—142no—
1305C2×D4—142no—
1306C2×D4—142no—
1307C2×D4—142no—
1308C2×D4—142no—
1309C2×D4—142no—
1310C2×D4—142no—
1311C2×D4—142no—
1312C2×D4—142no—
1313C2×D4—142no—
1314C2×D4—142no—
1315C2×D4—142no—
1316C2×D4—142no—
1317C2×D4—281no—
1318C2×D4—281no—
1319C2×D4—281no—
1320C2×D4—281no—
1321C2×D4—281no—
1322C2×D4—281no—
1323C2×D4—281no—
1324C2×D4—281no—
1325C2×D4—281no—
1326C2×D4—281no—
1327C2×D4—281no—
1328C2×D4—281no—
1329C2×D4—281no—
1330C2×D4—281no—
1331C2×D4—281no—
1332C2×D4—281no—
1333C2×D4—281no—
1334C2×D4—281no—
1335C2×D4—281no—
1336C2×D4—281no—
1337C2×D4—281no—
1338C2×D4—281no—
1339C2×D4—281no—
1340C2×D4—281no—
1341C2×D4—281no—
1342C2×D4—2816no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—71no—
1359C22×C4—71no—
1360C22×C4—71no—
1361C22×C4—71no—
1362C22×C4—71no—
1363C22×C4—71no—
1364C22×C4—71no—
1365C22×C4—71no—
1366C22×C4—71no—
1367C22×C4—71no—
1368C22×C4—71no—
1369C22×C4—71no—
1370C22×C4—71no—
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—281no—
1380C22×C4—281no—
1381C22×C4—281no—
1382C22×C4—281no—
1383C22×C4—281no—
1384C22×C4—281no—
1385C22×C4—281no—
1386C22×C4—281no—
1387C22×C4—281no—
1388C22×C4—281no—
1389C22×C4—281no—
1390C22×C4—2816no—
1391C22×C4—281no—
1392C22×C4—281no—
1393C22×C4—281no—
1394C22×C4—281no—
1395C22×C4—281no—
1396C22×C4C23×D711yescharacteristic
1397C22×C4C23×D711yescharacteristic
1398C22×C4C23×D711yescharacteristic
1399C22×C4C23×D711yescharacteristic
1400C22×C4C23×D711yescharacteristic
1401C22×C4C23×D711yescharacteristic
1402C22×C4C23×D711yescharacteristic
1403C22×C4C23×D711yescharacteristic
1404C22×C4C23×D711yescharacteristic
1405C22×C4C23×D711yescharacteristic
1406C4⋊C4—142no—
1407C4⋊C4—142no—
1408C4⋊C4—281no—
1409C4⋊C4—281no—
1410C4⋊C4—281no—
1411C4⋊C4—281no—
1412C4⋊C4—281no—
1413C4⋊C4—281no—
1414C4⋊C4—281no—
1415C4⋊C4—281no—
1416C4⋊C4—281no—
1417C4⋊C4—281no—
1418C4⋊C4—281no—
1419C4⋊C4—281no—
1420C4⋊C4—281no—
1421C4⋊C4—281no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—142no—
1439C22⋊C4—142no—
1440C22⋊C4—142no—
1441C22⋊C4—142no—
1442C22⋊C4—142no—
1443C22⋊C4—142no—
1444C22⋊C4—142no—
1445C22⋊C4—142no—
1446C22⋊C4—142no—
1447C22⋊C4—142no—
1448C22⋊C4—142no—
1449C22⋊C4—142no—
1450C22⋊C4—281no—
1451C22⋊C4—281no—
1452C22⋊C4—281no—
1453C22⋊C4—281no—
1454C22⋊C4—281no—
1455C22⋊C4—281no—
1456C22⋊C4—281no—
1457C22⋊C4—281no—
1458C22⋊C4—281no—
1459C22⋊C4—281no—
1460C22⋊C4—281no—
1461C22⋊C4—281no—
1462C22⋊C4—281no—
1463C22⋊C4—281no—
1464C22⋊C4—281no—
1465C22⋊C4—281no—
1466C22⋊C4—281no—
1467C22⋊C4—281no—
1468C22⋊C4—281no—
1469C22⋊C4—281no—
1470C22⋊C4—281no—
1471C22⋊C4—281no—
1472C22⋊C4—281no—
1473C22⋊C4—281no—
1474C22⋊C4—281no—
1475C22⋊C4—281no—
1476C22⋊C4—281no—
1477C22⋊C4—281no—
1478C22⋊C4—281no—
1479C22⋊C4—281no—
1480C22⋊C4—281no—
1481C22⋊C4—281no—
1482C42—281no—
1483C42—281no—
1484C42—281no—
1485C2×C7—24no—
1486C2×C7—42no—
1487C2×C7—42no—
1488C2×C7—81no—
1489C2×C7—81no—
1490C2×C7C2×#53811yescharacteristic
1491C2×C7#349011yescharacteristic
1492C2×C7#350511yescharacteristic
1493C2×C7#353211yescharacteristic
1494C2×C7#353411yescharacteristic
1495C2×C7#353411yescharacteristic
1496C2×C7#353711yescharacteristic
1497D7—42no—
1498D7—42no—
1499D7—81no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—28no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—72no—
1535C23—72no—
1536C23—82no—
1537C23—82no—
1538C23—82no—
1539C23—82no—
1540C23—82no—
1541C23—82no—
1542C23—82no—
1543C23—82no—
1544C23—82no—
1545C23—82no—
1546C23—148no—
1547C23—141no—
1548C23—141no—
1549C23—141no—
1550C23—141no—
1551C23—141no—
1552C23—141no—
1553C23—141no—
1554C23—141no—
1555C23—141no—
1556C23—141no—
1557C23—141no—
1558C23—141no—
1559C23—141no—
1560C23—141no—
1561C23—141no—
1562C23—141no—
1563C23—141no—
1564C23—141no—
1565C23—141no—
1566C23—284no—
1567C23—284no—
1568C23—284no—
1569C23—284no—
1570C23—284no—
1571C23—284no—
1572C23C2×#115712yes—
1573C23C2×#115712yes—
1574C23C2×#115712yes—
1575C23#654812yes—
1576C23#654812yes—
1577C23C24×D711yescharacteristic
1578Q8—562no—
1579D4—44no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—284no—
1584D4—284no—
1585D4—284no—
1586D4—284no—
1587D4—284no—
1588D4—562no—
1589D4—562no—
1590D4—562no—
1591D4—562no—
1592D4—562no—
1593D4—562no—
1594D4—562no—
1595D4—562no—
1596D4—562no—
1597D4—562no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—72no—
1631C2×C4—82no—
1632C2×C4—82no—
1633C2×C4—82no—
1634C2×C4—141no—
1635C2×C4—141no—
1636C2×C4—141no—
1637C2×C4—141no—
1638C2×C4—141no—
1639C2×C4—141no—
1640C2×C4—141no—
1641C2×C4—141no—
1642C2×C4—141no—
1643C2×C4—141no—
1644C2×C4—141no—
1645C2×C4—141no—
1646C2×C4—141no—
1647C2×C4—141no—
1648C2×C4—141no—
1649C2×C4—141no—
1650C2×C4—141no—
1651C2×C4—141no—
1652C2×C4—141no—
1653C2×C4—141no—
1654C2×C4—141no—
1655C2×C4—141no—
1656C2×C4—141no—
1657C2×C4—141no—
1658C2×C4—141no—
1659C2×C4—141no—
1660C2×C4—141no—
1661C2×C4—141no—
1662C2×C4—141no—
1663C2×C4—141no—
1664C2×C4—141no—
1665C2×C4—141no—
1666C2×C4—141no—
1667C2×C4—141no—
1668C2×C4—141no—
1669C2×C4—141no—
1670C2×C4—141no—
1671C2×C4—141no—
1672C2×C4—284no—
1673C2×C4—284no—
1674C2×C4—284no—
1675C2×C4—284no—
1676C2×C4—284no—
1677C2×C4—284no—
1678C2×C4—562no—
1679C2×C4—562no—
1680C7#3677611yescharacteristic, complemented, Sylow
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—88no—
1716C22—88no—
1717C22—142no—
1718C22—142no—
1719C22—142no—
1720C22—142no—
1721C22—142no—
1722C22—142no—
1723C22—2816no—
1724C22—281no—
1725C22—281no—
1726C22—281no—
1727C22—281no—
1728C22—281no—
1729C22—281no—
1730C22—281no—
1731C22—281no—
1732C22—281no—
1733C22—281no—
1734C22—281no—
1735C22—281no—
1736C22—281no—
1737C22—281no—
1738C22—281no—
1739C22#9018514yes—
1740C22C22×#115711yescharacteristic
1741C22C2×#654811yescharacteristic
1742C22C2×#654811yescharacteristic
1743C22D7×H(5,𝔽2)11yescharacteristic
1744C22D7×H(5,𝔽2)11yescharacteristic
1745C22D7×H(5,𝔽2)11yescharacteristic
1746C22#9061811yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—142no—
1758C4—281no—
1759C4—281no—
1760C4—281no—
1761C4—281no—
1762C4—281no—
1763C4—281no—
1764C4—281no—
1765C4—281no—
1766C4—281no—
1767C4—281no—
1768C4—281no—
1769C4—281no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—81no—
1775C2—282no—
1776C2—282no—
1777C2—561no—
1778C2C2×#9018511yescharacteristic
1779C2#1174292911yescharacteristic
1780C2#1174293611yescharacteristic
1781C2#1174336911yescharacteristic
1782C2#1174337811yescharacteristic
1783C2#1174337911yescharacteristic
1784C2#1174338011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2308C2
hypercenter#2308D7
hypocenterC7#36776
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
1. C7×#2308C2semidirect
2. #11741497C2semidirect
3. #11741493C2semidirect
4. #11739572C2semidirect
5. C2×#89728C2semidirect
6. #11739555C2semidirect
7. #11739541C2semidirect
8. #11732381C2semidirect
9. #11732380C2semidirect
10. #11732377C2semidirect
11. #11732376C2semidirect
12. #11732366C2semidirect
13. #11732366C2semidirect
14. #11732361C2semidirect
15. #11732338C2semidirect
16. #11732300C2semidirect
17. #11732258C2semidirect
18. #11732253C2semidirect
19. #11732231C2semidirect
20. #11732230C2semidirect
21. #11732189C2semidirect
22. #11732172C2semidirect
23. #11732150C2semidirect
24. #11731588C2semidirect
25. #11731587C2semidirect
26. #11731586C2semidirect
27. #11731585C2semidirect
28. #11731304C2semidirect
29. #11731303C2semidirect
30. #11731302C2semidirect
31. #11731285C2semidirect
34. C23×C4×D7C22semidirect
40. C2×#6516C22semidirect
46. C2×#6493C22semidirect
47. C2×#6493C22semidirect
48. C2×C4×C22⋊D7C22semidirect
49. C22×(C2×D7)⋊C4C22semidirect
50. C2×#6487C22semidirect
51. C2×#6448C22semidirect
52. C2×#6447C22semidirect
53. C2×#6447C22semidirect
54. C2×#6447C22semidirect
55. C2×#6446C22semidirect
56. C2×#6446C22semidirect
57. C2×#6445C22semidirect
58. C2×#6441C22semidirect
63. C7×#386C22semidirect
64. C7×#386C22semidirect
65. C7×#386C22semidirect
66. C7×#386C22semidirect
67. C7×#381C22semidirect
68. C7×#381C22semidirect
69. C7×#379C22semidirect
70. C7×#379C22semidirect
72. #90019C22semidirect
77. #89995C22semidirect
78. #89995C22semidirect
79. #89994C22semidirect
80. #89994C22semidirect
87. #89985C22semidirect
88. #89985C22semidirect
89. #89985C22semidirect
90. #89985C22semidirect
91. #89984C22semidirect
92. #89982C22semidirect
93. #89982C22semidirect
94. #89982C22semidirect
95. #89982C22semidirect
96. C4×C22⋊Dic7C22semidirect
97. C2×C7⋊#95C22semidirect
98. C2×C7⋊#95C22semidirect
101. #89733C22semidirect
102. #89733C22semidirect
103. #89733C22semidirect
106. #89732C22semidirect
107. #89731C22semidirect
108. #89731C22semidirect
109. #89731C22semidirect
110. #89730C22semidirect
111. #89729C22semidirect
112. #89729C22semidirect
113. #89729C22semidirect
114. #89729C22semidirect
119. #89728C22semidirect
120. #89728C22semidirect
121. #89728C22semidirect
122. #89728C22semidirect
123. #89728C22semidirect
124. #89728C22semidirect
125. #89728C22semidirect
126. #89728C22semidirect
127. #89728C22semidirect
128. #89728C22semidirect
129. #89728C22semidirect
130. #89727C22semidirect
131. #89725C22semidirect
132. #89725C22semidirect
133. #89724C22semidirect
134. #89724C22semidirect
135. #89724C22semidirect
136. #89724C22semidirect
137. #89724C22semidirect
138. #89723C22semidirect
139. #89723C22semidirect
140. #89722C22semidirect
141. #89722C22semidirect
142. #89721C22semidirect
143. #89720C22semidirect
144. #89720C22semidirect
145. #89720C22semidirect
146. #89719C22semidirect
147. #89719C22semidirect
148. #89718C22semidirect
149. #89717C22semidirect
150. #89717C22semidirect
151. #89716C22semidirect
152. #89716C22semidirect
153. #89716C22semidirect
154. #89714C22semidirect
155. #89448C22semidirect
156. #89447C22semidirect
157. #89447C22semidirect
158. #89446C22semidirect
159. #89445C22semidirect
160. #89445C22semidirect
161. #89444C22semidirect
162. #89442C22semidirect
163. #89441C22semidirect
164. #89441C22semidirect
165. #89440C22semidirect
166. #89440C22semidirect
167. #89439C22semidirect
168. #89439C22semidirect
169. #89437C22semidirect
170. #89437C22semidirect
171. #89437C22semidirect
172. #89436C22semidirect
173. #89436C22semidirect
174. #89436C22semidirect
175. C7⋊#401C22semidirect
176. C7⋊#401C22semidirect
177. #89432C22semidirect
178. #89432C22semidirect
179. #89431C22semidirect
180. #89431C22semidirect
181. #89430C22semidirect
182. #89430C22semidirect
183. #89430C22semidirect
184. #89427C22semidirect
185. #89426C22semidirect
186. #89423C22semidirect
405. #2308D7semidirect
764. #386C2×D7semidirect
765. #386C2×D7semidirect
766. #386C2×D7semidirect
767. #386C2×D7semidirect
781. #381C2×D7semidirect
782. #381C2×D7semidirect
790. #379C2×D7semidirect
791. #379C2×D7semidirect
1680. C7#36776semidirect

Maximal subgroups

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

subgroupindex
C7×#23082
#117414972
#117414932
#117395722
C2×#897282
#117395552
#117395412
#117323812
#117323802
#117323772
#117323762
#117323662
#117323612
#117323382
#117323002
#117322582
#117322532
#117322312
#117322302
#117321892
#117321722
#117321502
#117315882
#117315872
#117315862
#117315852
#117313042
#117313032
#117313022
#117312852
#367767