Finite Group Databasebeta

← #13560949

Subgroups — #13560949

Order 1792.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2748C211yesmaximal, characteristic, complemented
2#11735558C211yesmaximal, characteristic, complemented
3#11735556C211yesmaximal, characteristic, complemented
4#11735548C211yesmaximal, characteristic, complemented
5#11735520C211yesmaximal, characteristic, complemented
6#11735436C211yesmaximal, characteristic, complemented
7#11735412C211yesmaximal, characteristic, complemented
8#11735410C211yesmaximal, characteristic, complemented
9#11735396C211yesmaximal, characteristic, complemented
10#11734861C211yesmaximal, characteristic, complemented
11#11734861C211yesmaximal, characteristic, complemented
12#11734822C211yesmaximal, characteristic, complemented
13#11734822C211yesmaximal, characteristic, complemented
14#11733887C211yesmaximal, characteristic, complemented
15#11733832C211yesmaximal, characteristic, complemented
16#11732855C211yesmaximal, characteristic, complemented
17#11732764C211yesmaximal, characteristic, complemented
18#11732743C211yesmaximal, characteristic, complemented
19#11732625C211yesmaximal, characteristic, complemented
20#11732380C211yesmaximal, characteristic, complemented
21#11732339C211yesmaximal, characteristic, complemented
22#11732259C211yesmaximal, characteristic, complemented
23#11732258C211yesmaximal, characteristic, complemented
24#11732073C211yesmaximal, characteristic, complemented
25#11732072C211yesmaximal, characteristic, complemented
26#11732053C211yesmaximal, characteristic, complemented
27#11732039C211yesmaximal, characteristic, complemented
28#11731493C211yesmaximal, characteristic, complemented
29D7×#380C211yesmaximal, characteristic, complemented
30#11731431C211yesmaximal, characteristic, complemented
31#11731411C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×#6502C2211yescharacteristic
34C2×#6500C2211yescharacteristic
35C2×#6493C2211yescharacteristic
36C2×#6493C2211yescharacteristic
37C2×#6492C2211yescharacteristic, complemented
38C2×C4×C22⋊D7C2211yescharacteristic
39C2×#6458C2211yescharacteristic
40C2×#6458C2211yescharacteristic
41C2×#6458C2211yescharacteristic
42C2×#6458C2211yescharacteristic
43C2×#6458C2211yescharacteristic
44C2×#6458C2211yescharacteristic
45C2×#6457C2211yescharacteristic, complemented
46C2×#6457C2211yescharacteristic, complemented
47C2×#6456C2211yescharacteristic
48C2×#6456C2211yescharacteristic
49C2×D7×C4⋊C4C2211yescharacteristic
50C2×D7×C4⋊C4C2211yescharacteristic
51C2×#6447C2211yescharacteristic
52C2×#6447C2211yescharacteristic
53C2×#6447C2211yescharacteristic
54C2×#6447C2211yescharacteristic
55C2×#6447C2211yescharacteristic
56C2×#6446C2211yescharacteristic, complemented
57C2×#6445C2211yescharacteristic
58C2×#6445C2211yescharacteristic
59C2×#6445C2211yescharacteristic
60C2×D7×C22⋊C4C2211yescharacteristic
61C2×D7×C22⋊C4C2211yescharacteristic
62C2×C4×D28C2211yescharacteristic
63C7×#399C2211yescharacteristic, complemented
64C7×#399C2211yescharacteristic, complemented
65C7×#398C2211yescharacteristic, complemented
66C7×#398C2211yescharacteristic, complemented
67C7×#396C2211yescharacteristic
68C7×#396C2211yescharacteristic
69C7×#390C2211yescharacteristic
70C7×#387C2211yescharacteristic, complemented
71C7×#387C2211yescharacteristic, complemented
72C7×#386C2211yescharacteristic
73C7×#386C2211yescharacteristic
74C7×#385C2211yescharacteristic, complemented
75C7×#385C2211yescharacteristic, complemented
76C7×#380C2211yescharacteristic
77C7×#380C2211yescharacteristic
78#89995C2211yescharacteristic
79#89995C2211yescharacteristic
80#89985C2211yescharacteristic
81#89985C2211yescharacteristic, complemented
82#89984C2211yescharacteristic
83#89765C2211yescharacteristic, complemented
84#89764C2211yescharacteristic, complemented
85#89764C2211yescharacteristic, complemented
86#89764C2211yescharacteristic, complemented
87#89764C2211yescharacteristic, complemented
88#89764C2211yescharacteristic, complemented
89#89763C2211yescharacteristic
90#89763C2211yescharacteristic
91#89763C2211yescharacteristic
92#89763C2211yescharacteristic, complemented
93#89762C2211yescharacteristic
94#89762C2211yescharacteristic
95#89762C2211yescharacteristic, complemented
96#89761C2211yescharacteristic
97#89761C2211yescharacteristic
98#89761C2211yescharacteristic
99#89761C2211yescharacteristic, complemented
100#89761C2211yescharacteristic, complemented
101#89761C2211yescharacteristic, complemented
102#89759C2211yescharacteristic
103#89759C2211yescharacteristic
104#89759C2211yescharacteristic
105#89759C2211yescharacteristic
106#89756C2211yescharacteristic, complemented
107#89755C2211yescharacteristic, complemented
108#89755C2211yescharacteristic, complemented
109#89754C2211yescharacteristic, complemented
110#89753C2211yescharacteristic, complemented
111#89752C2211yescharacteristic, complemented
112#89752C2211yescharacteristic, complemented
113#89750C2211yescharacteristic, complemented
114#89750C2211yescharacteristic, complemented
115#89733C2211yescharacteristic
116#89733C2211yescharacteristic, complemented
117#89732C2211yescharacteristic
118#89732C2211yescharacteristic
119#89732C2211yescharacteristic, complemented
120#89732C2211yescharacteristic, complemented
121#89732C2211yescharacteristic, complemented
122#89731C2211yescharacteristic
123#89731C2211yescharacteristic, complemented
124#89730C2211yescharacteristic
125#89730C2211yescharacteristic
126#89729C2211yescharacteristic
127#89729C2211yescharacteristic
128#89729C2211yescharacteristic
129#89728C2211yescharacteristic
130#89728C2211yescharacteristic
131#89728C2211yescharacteristic
132#89728C2211yescharacteristic
133#89728C2211yescharacteristic
134#89728C2211yescharacteristic
135#89728C2211yescharacteristic, complemented
136#89724C2211yescharacteristic, complemented
137#89723C2211yescharacteristic, complemented
138#89720C2211yescharacteristic
139#89720C2211yescharacteristic
140#89716C2211yescharacteristic, complemented
141#89714C2211yescharacteristic
142#89714C2211yescharacteristic
143#89714C2211yescharacteristic
144#89712C2211yescharacteristic
145#89712C2211yescharacteristic, complemented
146#89712C2211yescharacteristic, complemented
147#89449C2211yescharacteristic, complemented
148#89447C2211yescharacteristic, complemented
149#89446C2211yescharacteristic, complemented
150#89444C2211yescharacteristic
151#89444C2211yescharacteristic
152#89444C2211yescharacteristic
153#89444C2211yescharacteristic, complemented
154#89443C2211yescharacteristic, complemented
155#89442C2211yescharacteristic, complemented
156#89442C2211yescharacteristic, complemented
157#89441C2211yescharacteristic
158#89441C2211yescharacteristic, complemented
159#89440C2211yescharacteristic
160#89440C2211yescharacteristic, complemented
161#89440C2211yescharacteristic, complemented
162#89440C2211yescharacteristic, complemented
163#89439C2211yescharacteristic
164#89439C2211yescharacteristic
165#89439C2211yescharacteristic
166#89439C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic, complemented
177#89437C2211yescharacteristic, complemented
178D7×#95C2211yescharacteristic
179D7×#95C2211yescharacteristic
180#89432C2211yescharacteristic, complemented
181#89432C2211yescharacteristic, complemented
182#89430C2211yescharacteristic, complemented
183#89429C2211yescharacteristic, complemented
184#89425C2211yescharacteristic, complemented
185#89424C2211yescharacteristic, complemented
186#89424C2211yescharacteristic, complemented
187#36727—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×D28C2311yescharacteristic
209C22×D28C2311yescharacteristic
210C22×C4×D7—24no—
211C22×C4×D7—42no—
212C22×C4×D7—42no—
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C4⋊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
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C42×C7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252#6502—42no—
253#6500—42no—
254#6493—42no—
255#6493—42no—
256#6492—42no—
257C4×C22⋊D7—42no—
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×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316#6458—24no—
317#6458—42no—
318#6458—42no—
319#6458—42no—
320#6458—42no—
321#6458—42no—
322#6457—42no—
323#6457—42no—
324#6456—42no—
325#6456—42no—
326D7×C4⋊C4—42no—
327D7×C4⋊C4—42no—
328#6447—24no—
329#6447—42no—
330#6447—42no—
331#6447—42no—
332#6447—42no—
333#6446—42no—
334#6445—42no—
335#6445—42no—
336#6445—42no—
337D7×C22⋊C4—42no—
338D7×C22⋊C4—42no—
339C4×D28—42no—
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#2847—71no—
377#2847—71no—
378#2748—71no—
379#2748—71no—
380#2748—71no—
381#2748D711yescharacteristic, complemented
382#2741—71no—
383#2741—71no—
384#2741—71no—
385#2741—71no—
386#2703—71no—
387#2703—71no—
388#2703—71no—
389#2703—71no—
390#2671—71no—
391#2671—71no—
392#2671—71no—
393#2671—71no—
394#2656—71no—
395#2646—71no—
396#2443—71no—
397#2443—71no—
398#2443—71no—
399#2443—71no—
400#2424—71no—
401#2424—71no—
402#2424—71no—
403#2424—71no—
404#2325—71no—
405#2325—71no—
406C2×#380—71no—
407C24×C7C2411yescharacteristic
408C24×C7C2411yescharacteristic
409C23×D7—22no—
410C23×D7—22no—
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—22no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7C2411yescharacteristic
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×D4—22no—
422C2×C7×D4—41no—
423C2×C7×D4—41no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C2×C22⋊D7—22no—
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7—41no—
465C2×C22⋊D7—41no—
466C2×C22⋊D7—41no—
467C22×Dic7—22no—
468C22×Dic7—22no—
469C22×Dic7—41no—
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C2×D28—22no—
482C2×D28—22no—
483C2×D28—22no—
484C2×D28—22no—
485C2×D28—22no—
486C2×D28—22no—
487C2×D28—22no—
488C2×D28—22no—
489C2×D28—22no—
490C2×D28—22no—
491C2×D28—22no—
492C2×D28—22no—
493C2×D28—22no—
494C2×D28—41no—
495C2×D28—41no—
496C2×D28—41no—
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×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—22no—
512C2×C4×D7—22no—
513C2×C4×D7—22no—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—22no—
518C2×C4×D7—22no—
519C2×C4×D7—416no—
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×D7—41no—
530C2×C4×D7—41no—
531C2×C4×D7—41no—
532C2×C4×D7—41no—
533C2×C4×D7—41no—
534C2×C4×D7—41no—
535C2×C4×D7—41no—
536C2×C4×D7—41no—
537C2×C4×D7—41no—
538C2×C4×D7—41no—
539C2×C4×D7—41no—
540C2×C4×D7—41no—
541C2×C4×D7#4114yes—
542C7×C4⋊C4—22no—
543C7×C4⋊C4—22no—
544C7×C4⋊C4—41no—
545C7×C4⋊C4—41no—
546C7×C4⋊C4—41no—
547C7×C4⋊C4—41no—
548C7×C4⋊C4—41no—
549C7×C4⋊C4—41no—
550C7×C4⋊C4—41no—
551C7×C4⋊C4—41no—
552C7×C4⋊C4—41no—
553C7×C22⋊C4—22no—
554C7×C22⋊C4—22no—
555C7×C22⋊C4—41no—
556C7×C22⋊C4—41no—
557C7×C22⋊C4—41no—
558C7×C22⋊C4—41no—
559C7×C22⋊C4—41no—
560C7×C22⋊C4—41no—
561C7×C22⋊C4—41no—
562C7×C22⋊C4—41no—
563C42×C7—41no—
564C22⋊Dic7—22no—
565C22⋊Dic7—41no—
566C22⋊Dic7—41no—
567C22⋊Dic7—41no—
568C22⋊Dic7—41no—
569C22⋊Dic7—41no—
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—22no—
584(C2×D7)⋊C4—22no—
585(C2×D7)⋊C4—22no—
586(C2×D7)⋊C4—22no—
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)⋊C4—41no—
596(C2×D7)⋊C4—41no—
597(C2×D7)⋊C4—41no—
598(C2×D7)⋊C4—41no—
599(C2×D7)⋊C4—41no—
600(C2×D7)⋊C4—41no—
601(C2×D7)⋊C4—41no—
602(C2×D7)⋊C4—41no—
603(C2×D7)⋊C4—41no—
604(C2×D7)⋊C4—41no—
605(C2×D7)⋊C4—41no—
606C4⋊Dic7—22no—
607C4⋊Dic7—41no—
608C4⋊Dic7—41no—
609C4⋊Dic7—41no—
610C4⋊Dic7—41no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4—22no—
614Dic7⋊C4—41no—
615Dic7⋊C4—41no—
616Dic7⋊C4—41no—
617Dic7⋊C4—41no—
618Dic7⋊C4—41no—
619Dic7⋊C4—41no—
620Dic7⋊C4—41no—
621Dic7⋊C4—41no—
622Dic7⋊C4—41no—
623Dic7⋊C4—41no—
624Dic7⋊C4—41no—
625C4×Dic7—41no—
626C4×Dic7—41no—
627C4×Dic7—41no—
628C24×C4—71no—
629C2×#123—71no—
630C2×#123—71no—
631C2×#123—71no—
632C2×#123—71no—
633C2×#121—71no—
634C2×#121—71no—
635C2×#121—71no—
636C2×#121—71no—
637C2×#121—71no—
638C2×#121—71no—
639C2×#121—71no—
640C2×#121—71no—
641C2×#121—71no—
642C2×#121—71no—
643C2×#121—71no—
644C2×#121—71no—
645C2×#121—71no—
646C2×#121—71no—
647C2×#120—71no—
648C2×#120—71no—
649C2×#120—71no—
650C2×#120—71no—
651C2×C4×D4—71no—
652C2×C4×D4—71no—
653C2×C4×D4—71no—
654C2×C4×D4—71no—
655C22×C4⋊C4—71no—
656C22×C4⋊C4—71no—
657C22×C22⋊C4—71no—
658C22×C22⋊C4—71no—
659#400—71no—
660#400—71no—
661#400—71no—
662#400—71no—
663#399—71no—
664#399—71no—
665#399—71no—
666#399—71no—
667#399—71no—
668#399—71no—
669#399C2×D711yescharacteristic, complemented
670#399C2×D711yescharacteristic, complemented
671#398—71no—
672#398—71no—
673#398—71no—
674#398—71no—
675#398—71no—
676#398—71no—
677#398C2×D711yescharacteristic, complemented
678#398C2×D711yescharacteristic, complemented
679#397—71no—
680#397—71no—
681#397—71no—
682#397—71no—
683#396—71no—
684#396—71no—
685#396C2×D711yescharacteristic
686#396C2×D711yescharacteristic
687#394—71no—
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#394—71no—
697#394—71no—
698#394—71no—
699#392—71no—
700#392—71no—
701#392—71no—
702#392—71no—
703#392—71no—
704#392—71no—
705#392—71no—
706#392—71no—
707#390—71no—
708#390—71no—
709#390—71no—
710#390C2×D711yescharacteristic
711#388—71no—
712#388—71no—
713#388—71no—
714#388—71no—
715#388—71no—
716#388—71no—
717#388—71no—
718#388—71no—
719#388—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#387—71no—
724#387—71no—
725#387—71no—
726#387—71no—
727#387—71no—
728#387—71no—
729#387C2×D711yescharacteristic, complemented
730#387C2×D711yescharacteristic, complemented
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#386C2×D711yescharacteristic
754#386C2×D711yescharacteristic
755#385—71no—
756#385—71no—
757#385—71no—
758#385—71no—
759#385—71no—
760#385—71no—
761#385—71no—
762#385—71no—
763#385—71no—
764#385—71no—
765#385C2×D711yescharacteristic, complemented
766#385C2×D711yescharacteristic, complemented
767#380—71no—
768#380—71no—
769#380—71no—
770#380—71no—
771#380—71no—
772#380—71no—
773#380—71no—
774#380—71no—
775#380—71no—
776#380—71no—
777#380—71no—
778#380—71no—
779#380C2×D711yescharacteristic
780#380C2×D711yescharacteristic
781C2×#95—71no—
782C2×#95—71no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7—21no—
791C23×C7—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7—21no—
795C23×C7—21no—
796C23×C72−1+412yes—
797C23×C7C2511yescharacteristic
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—28no—
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—21no—
827C22×D7—21no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—44no—
831C22×D7—44no—
832C22×D7—44no—
833C22×D7—44no—
834C22×D7—44no—
835C22×D7—44no—
836C22×D7C2×#4112yes—
837C22×D7H(5,𝔽2)12yes—
838C22×D7H(5,𝔽2)12yes—
839C22×D7H(5,𝔽2)12yes—
840C7×D4—82no—
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—21no—
873C2×C4×C7—21no—
874C2×C4×C7—21no—
875C2×C4×C7—21no—
876C2×C4×C7—21no—
877C2×C4×C7—21no—
878C2×C4×C7—44no—
879C2×C4×C7—82no—
880C2×C4×C7C2×#4112yes—
881C2×C4×C7H(5,𝔽2)12yes—
882C22⋊D7—44no—
883C22⋊D7—82no—
884C22⋊D7—82no—
885C22⋊D7—82no—
886C22⋊D7—82no—
887C22⋊D7—82no—
888C22⋊D7—82no—
889C22⋊D7—82no—
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—21no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7—21no—
919C2×Dic7—21no—
920C2×Dic7—21no—
921C2×Dic7—44no—
922C2×Dic7C2×#4112yes—
923C2×Dic7H(5,𝔽2)12yes—
924D28—44no—
925D28—44no—
926D28—44no—
927D28—82no—
928D28—82no—
929D28—82no—
930D28—82no—
931D28—82no—
932D28—82no—
933C4×D7—28no—
934C4×D7—44no—
935C4×D7—44no—
936C4×D7—44no—
937C4×D7—82no—
938C4×D7—82no—
939C4×D7—82no—
940C4×D7—82no—
941C4×D7—82no—
942C4×D7—82no—
943C4×D7—82no—
944C25—71no—
945C22×D4—71no—
946C22×D4—71no—
947C22×D4—71no—
948C22×D4—71no—
949C22×D4—71no—
950C22×D4—71no—
951C22×D4—71no—
952C22×D4—71no—
953C22×D4—71no—
954C22×D4—71no—
955C22×D4—71no—
956C22×D4—71no—
957C22×D4—71no—
958C22×D4—71no—
959C22×D4—71no—
960C22×D4—71no—
961C22×D4—71no—
962C22×D4C22×D711yescharacteristic
963C23×C4—71no—
964C23×C4—71no—
965C23×C4—71no—
966C23×C4—71no—
967C23×C4—71no—
968C23×C4—71no—
969C23×C4—71no—
970C23×C4—71no—
971C23×C4—71no—
972C23×C4—71no—
973C23×C4—71no—
974C23×C4—71no—
975C23×C4—144no—
976C23×C4—282no—
977C23×C4—282no—
978C23×C4C22×D711yescharacteristic
979C23×C4C22×D711yescharacteristic
980#123—282no—
981#123—282no—
982#123—282no—
983#123—282no—
984#121—144no—
985#121—144no—
986#121—282no—
987#121—282no—
988#121—282no—
989#121—282no—
990#121—282no—
991#121—282no—
992#121—282no—
993#121—282no—
994#121—282no—
995#121—282no—
996#121—282no—
997#121—282no—
998#120—282no—
999#120—282no—
1000#120—282no—
1001#120—282no—
1002C4×D4—282no—
1003C4×D4—282no—
1004C4×D4—282no—
1005C4×D4—282no—
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—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4—71no—
1020C2×C4⋊C4—71no—
1021C2×C4⋊C4—71no—
1022C2×C4⋊C4—71no—
1023C2×C4⋊C4—71no—
1024C2×C4⋊C4—71no—
1025C2×C4⋊C4—282no—
1026C2×C4⋊C4—282no—
1027C2×C4⋊C4C22×D711yescharacteristic
1028C2×C4⋊C4C22×D711yescharacteristic
1029C2×C4⋊C4C22×D711yescharacteristic
1030C2×C4⋊C4C22×D711yescharacteristic
1031C2×C4⋊C4C22×D711yescharacteristic
1032C2×C4⋊C4C22×D711yescharacteristic
1033C2×C4⋊C4C22×D711yescharacteristic
1034C2×C4⋊C4C22×D711yescharacteristic
1035C2×C4⋊C4C22×D711yescharacteristic
1036C2×C4⋊C4C22×D711yescharacteristic
1037C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1075C2×C22⋊C4—71no—
1076C2×C22⋊C4—71no—
1077C2×C22⋊C4—71no—
1078C2×C22⋊C4—71no—
1079C2×C22⋊C4—71no—
1080C2×C22⋊C4—282no—
1081C2×C22⋊C4—282no—
1082C2×C22⋊C4C22×D711yescharacteristic
1083C2×C22⋊C4C22×D711yescharacteristic
1084C2×C22⋊C4C22×D711yescharacteristic
1085C2×C22⋊C4C22×D711yescharacteristic
1086C2×C22⋊C4C22×D711yescharacteristic
1087C2×C22⋊C4C22×D711yescharacteristic
1088C2×C22⋊C4C22×D711yescharacteristic
1089C2×C22⋊C4C22×D711yescharacteristic
1090C2×C22⋊C4C22×D711yescharacteristic
1091C2×C22⋊C4C22×D711yescharacteristic
1092C2×C42—71no—
1093C2×C42—71no—
1094C2×C42—71no—
1095C2×C42C22×D711yescharacteristic
1096#95—71no—
1097#95—71no—
1098#95—71no—
1099#95—71no—
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#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#95—71no—
1119#95—71no—
1120#95—71no—
1121#95—71no—
1122#95C22×D711yescharacteristic
1123#95C22×D711yescharacteristic
1124#95C22×D711yescharacteristic
1125#95C22×D711yescharacteristic
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130#95C22×D711yescharacteristic
1131#95C22×D711yescharacteristic
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—22no—
1135C22×C7—41no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7—41no—
1139C22×C7—41no—
1140C22×C7—41no—
1141C22×C7—41no—
1142C22×C7—41no—
1143C22×C7—41no—
1144C22×C7—41no—
1145C22×C7—41no—
1146C22×C7C22×#4111yescharacteristic
1147C22×C7C2×H(5,𝔽2)11yescharacteristic
1148C22×C7C2×H(5,𝔽2)11yescharacteristic
1149C22×C7C2×H(5,𝔽2)11yescharacteristic
1150C22×C7C2×H(5,𝔽2)11yescharacteristic
1151C22×C7C2×H(5,𝔽2)11yescharacteristic
1152C22×C7C2×2−1+411yescharacteristic
1153C2×D7—22no—
1154C2×D7—22no—
1155C2×D7—22no—
1156C2×D7—22no—
1157C2×D7—22no—
1158C2×D7—22no—
1159C2×D7—22no—
1160C2×D7—22no—
1161C2×D7—22no—
1162C2×D7—416no—
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—41no—
1180C2×D7—41no—
1181C2×D7—41no—
1182C2×D7—41no—
1183C2×D7—41no—
1184C2×D7—41no—
1185C2×D7—41no—
1186C2×D7—41no—
1187C2×D7—41no—
1188C2×D7#54014yes—
1189C4×C7—22no—
1190C4×C7—22no—
1191C4×C7—41no—
1192C4×C7—41no—
1193C4×C7—41no—
1194C4×C7—41no—
1195C4×C7—41no—
1196C4×C7—41no—
1197C4×C7—41no—
1198C4×C7—41no—
1199C4×C7—41no—
1200C4×C7—41no—
1201C4×C7—41no—
1202Dic7—22no—
1203Dic7—22no—
1204Dic7—41no—
1205Dic7—41no—
1206Dic7—41no—
1207Dic7—41no—
1208Dic7—41no—
1209Dic7—41no—
1210Dic7—41no—
1211Dic7—41no—
1212Dic7—41no—
1213C24—71no—
1214C24—71no—
1215C24—71no—
1216C24—71no—
1217C24—71no—
1218C24—142no—
1219C24—142no—
1220C24—142no—
1221C24—142no—
1222C24—142no—
1223C24—281no—
1224C24—281no—
1225C24C23×D711yescharacteristic
1226C24C23×D711yescharacteristic
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
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—142no—
1243C2×D4—142no—
1244C2×D4—142no—
1245C2×D4—142no—
1246C2×D4—142no—
1247C2×D4—142no—
1248C2×D4—142no—
1249C2×D4—142no—
1250C2×D4—142no—
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—
1260C2×D4—281no—
1261C2×D4—281no—
1262C2×D4—281no—
1263C2×D4—281no—
1264C2×D4—281no—
1265C2×D4—281no—
1266C2×D4—281no—
1267C2×D4—281no—
1268C2×D4—281no—
1269C2×D4—281no—
1270C2×D4—281no—
1271C2×D4—281no—
1272C2×D4—281no—
1273C2×D4—281no—
1274C2×D4—281no—
1275C2×D4—281no—
1276C2×D4—281no—
1277C2×D4—281no—
1278C2×D4—281no—
1279C2×D4—281no—
1280C2×D4—281no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—71no—
1288C22×C4—71no—
1289C22×C4—74no—
1290C22×C4—71no—
1291C22×C4—71no—
1292C22×C4—71no—
1293C22×C4—71no—
1294C22×C4—71no—
1295C22×C4—71no—
1296C22×C4—71no—
1297C22×C4—71no—
1298C22×C4—71no—
1299C22×C4—142no—
1300C22×C4—142no—
1301C22×C4—142no—
1302C22×C4—142no—
1303C22×C4—142no—
1304C22×C4—142no—
1305C22×C4—142no—
1306C22×C4—142no—
1307C22×C4—142no—
1308C22×C4—142no—
1309C22×C4—142no—
1310C22×C4—142no—
1311C22×C4—142no—
1312C22×C4—281no—
1313C22×C4—281no—
1314C22×C4—281no—
1315C22×C4—281no—
1316C22×C4—281no—
1317C22×C4—281no—
1318C22×C4—281no—
1319C22×C4—281no—
1320C22×C4—281no—
1321C22×C4—281no—
1322C22×C4—281no—
1323C22×C4—281no—
1324C22×C4—281no—
1325C22×C4—281no—
1326C22×C4—281no—
1327C22×C4—281no—
1328C22×C4—281no—
1329C22×C4—281no—
1330C22×C4—281no—
1331C22×C4—281no—
1332C22×C4—281no—
1333C22×C4—2816no—
1334C22×C4—281no—
1335C22×C4C23×D711yescharacteristic
1336C22×C4C23×D711yescharacteristic
1337C22×C4C23×D711yescharacteristic
1338C22×C4C23×D711yescharacteristic
1339C22×C4C23×D711yescharacteristic
1340C22×C4C23×D711yescharacteristic
1341C22×C4C23×D711yescharacteristic
1342C22×C4C23×D711yescharacteristic
1343C22×C4C23×D711yescharacteristic
1344C22×C4C23×D711yescharacteristic
1345C22×C4C23×D711yescharacteristic
1346C22×C4C23×D711yescharacteristic
1347C22×C4C23×D711yescharacteristic
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—142no—
1360C4⋊C4—142no—
1361C4⋊C4—142no—
1362C4⋊C4—142no—
1363C4⋊C4—281no—
1364C4⋊C4—281no—
1365C4⋊C4—281no—
1366C4⋊C4—281no—
1367C4⋊C4—281no—
1368C4⋊C4—281no—
1369C4⋊C4—281no—
1370C4⋊C4—281no—
1371C4⋊C4—281no—
1372C4⋊C4—281no—
1373C4⋊C4—281no—
1374C4⋊C4—281no—
1375C4⋊C4—281no—
1376C4⋊C4—281no—
1377C4⋊C4—281no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—142no—
1389C22⋊C4—142no—
1390C22⋊C4—142no—
1391C22⋊C4—142no—
1392C22⋊C4—142no—
1393C22⋊C4—142no—
1394C22⋊C4—142no—
1395C22⋊C4—142no—
1396C22⋊C4—142no—
1397C22⋊C4—142no—
1398C22⋊C4—142no—
1399C22⋊C4—142no—
1400C22⋊C4—142no—
1401C22⋊C4—142no—
1402C22⋊C4—142no—
1403C22⋊C4—142no—
1404C22⋊C4—142no—
1405C22⋊C4—142no—
1406C22⋊C4—281no—
1407C22⋊C4—281no—
1408C22⋊C4—281no—
1409C22⋊C4—281no—
1410C22⋊C4—281no—
1411C22⋊C4—281no—
1412C22⋊C4—281no—
1413C22⋊C4—281no—
1414C22⋊C4—281no—
1415C22⋊C4—281no—
1416C22⋊C4—281no—
1417C22⋊C4—281no—
1418C22⋊C4—281no—
1419C22⋊C4—281no—
1420C22⋊C4—281no—
1421C22⋊C4—281no—
1422C22⋊C4—281no—
1423C22⋊C4—281no—
1424C22⋊C4—281no—
1425C22⋊C4—281no—
1426C22⋊C4—281no—
1427C22⋊C4—281no—
1428C22⋊C4—281no—
1429C22⋊C4—281no—
1430C42—41no—
1431C42—281no—
1432C42—281no—
1433C42—281no—
1434C2×C7—42no—
1435C2×C7—81no—
1436C2×C7C2×#54011yescharacteristic
1437C2×C7#349011yescharacteristic
1438C2×C7#349211yescharacteristic
1439C2×C7#353611yescharacteristic
1440C2×C7#353611yescharacteristic
1441C2×C7#353711yescharacteristic
1442C2×C7#353711yescharacteristic
1443D7—24no—
1444D7—42no—
1445D7—81no—
1446D7—81no—
1447D7—81no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—72no—
1462C23—72no—
1463C23—72no—
1464C23—72no—
1465C23—148no—
1466C23—141no—
1467C23—141no—
1468C23—141no—
1469C23—141no—
1470C23—141no—
1471C23—141no—
1472C23—141no—
1473C23—141no—
1474C23—141no—
1475C23—141no—
1476C23—141no—
1477C23—141no—
1478C23—141no—
1479C23—141no—
1480C23—141no—
1481C23—141no—
1482C23—141no—
1483C23—141no—
1484C23—141no—
1485C23—141no—
1486C23—141no—
1487C23—141no—
1488C23—141no—
1489C23—141no—
1490C23—141no—
1491C23—141no—
1492C23—141no—
1493C23—141no—
1494C23—141no—
1495C23—141no—
1496C23—141no—
1497C23—284no—
1498C23—284no—
1499C23—284no—
1500C23—284no—
1501C23—284no—
1502C23—284no—
1503C23#655112yes—
1504C23C24×D711yescharacteristic
1505D4—82no—
1506D4—284no—
1507D4—284no—
1508D4—284no—
1509D4—284no—
1510D4—562no—
1511D4—562no—
1512D4—562no—
1513D4—562no—
1514D4—562no—
1515D4—562no—
1516D4—562no—
1517D4—562no—
1518D4—562no—
1519D4—562no—
1520D4—562no—
1521D4—562no—
1522D4—562no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—44no—
1561C2×C4—72no—
1562C2×C4—72no—
1563C2×C4—82no—
1564C2×C4—148no—
1565C2×C4—141no—
1566C2×C4—141no—
1567C2×C4—141no—
1568C2×C4—141no—
1569C2×C4—141no—
1570C2×C4—141no—
1571C2×C4—141no—
1572C2×C4—141no—
1573C2×C4—141no—
1574C2×C4—141no—
1575C2×C4—141no—
1576C2×C4—141no—
1577C2×C4—141no—
1578C2×C4—141no—
1579C2×C4—141no—
1580C2×C4—141no—
1581C2×C4—141no—
1582C2×C4—141no—
1583C2×C4—141no—
1584C2×C4—141no—
1585C2×C4—141no—
1586C2×C4—141no—
1587C2×C4—141no—
1588C2×C4—141no—
1589C2×C4—141no—
1590C2×C4—141no—
1591C2×C4—141no—
1592C2×C4—141no—
1593C2×C4—141no—
1594C2×C4—141no—
1595C2×C4—141no—
1596C2×C4—284no—
1597C2×C4—284no—
1598C2×C4—284no—
1599C2×C4—284no—
1600C2×C4—562no—
1601C2×C4—562no—
1602C2×C4—562no—
1603C2×C4—562no—
1604C2×C4—562no—
1605C2×C4—562no—
1606C2×C4—562no—
1607C2×C4D7×#4112yes—
1608C2×C4#655312yes—
1609C7#3672711yescharacteristic, complemented, Sylow
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—74no—
1625C22—142no—
1626C22—142no—
1627C22—142no—
1628C22—142no—
1629C22—142no—
1630C22—142no—
1631C22—142no—
1632C22—142no—
1633C22—142no—
1634C22—2816no—
1635C22—281no—
1636C22—281no—
1637C22—281no—
1638C22—281no—
1639C22—281no—
1640C22—281no—
1641C22—281no—
1642C22—281no—
1643C22—281no—
1644C22—281no—
1645C22—281no—
1646C22—281no—
1647C22—281no—
1648C22—281no—
1649C22—281no—
1650C22—281no—
1651C22—281no—
1652C22—281no—
1653C22—281no—
1654C22—281no—
1655C22—281no—
1656C22—281no—
1657C22—281no—
1658C22—281no—
1659C22—281no—
1660C22C2×#655111yescharacteristic
1661C22C2×D7×#4111yescharacteristic
1662C22C2×#655311yescharacteristic
1663C22D7×H(5,𝔽2)11yescharacteristic
1664C22D7×H(5,𝔽2)11yescharacteristic
1665C22D7×H(5,𝔽2)11yescharacteristic
1666C22D7×H(5,𝔽2)11yescharacteristic
1667C4—22no—
1668C4—22no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—142no—
1681C4—142no—
1682C4—281no—
1683C4—281no—
1684C4—281no—
1685C4—281no—
1686C4—281no—
1687C4—281no—
1688C4—281no—
1689C4—281no—
1690C4—281no—
1691C2—42no—
1692C2—81no—
1693C2—144no—
1694C2—282no—
1695C2—561no—
1696C2—561no—
1697C2—561no—
1698C2D7×#54011yescharacteristic
1699C2#1174355911yescharacteristic
1700C2#1174364311yescharacteristic
1701C2#1174388311yescharacteristic
1702C2#1174401511yescharacteristic
1703C2#1174402011yescharacteristic
1704C2#1174413911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2748C2
hypercenter#2748D7
hypocenterC7#36727
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2748

Complements

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

NH ≅ G/Ntype
1. C7×#2748C2semidirect
2. #11735558C2semidirect
3. #11735556C2semidirect
4. #11735548C2semidirect
5. #11735520C2semidirect
6. #11735436C2semidirect
7. #11735412C2semidirect
8. #11735410C2semidirect
9. #11735396C2semidirect
10. #11734861C2semidirect
11. #11734861C2semidirect
12. #11734822C2semidirect
13. #11734822C2semidirect
14. #11733887C2semidirect
15. #11733832C2semidirect
16. #11732855C2semidirect
17. #11732764C2semidirect
18. #11732743C2semidirect
19. #11732625C2semidirect
20. #11732380C2semidirect
21. #11732339C2semidirect
22. #11732259C2semidirect
23. #11732258C2semidirect
24. #11732073C2semidirect
25. #11732072C2semidirect
26. #11732053C2semidirect
27. #11732039C2semidirect
28. #11731493C2semidirect
29. D7×#380C2semidirect
30. #11731431C2semidirect
31. #11731411C2semidirect
37. C2×#6492C22semidirect
45. C2×#6457C22semidirect
46. C2×#6457C22semidirect
56. C2×#6446C22semidirect
63. C7×#399C22semidirect
64. C7×#399C22semidirect
65. C7×#398C22semidirect
66. C7×#398C22semidirect
70. C7×#387C22semidirect
71. C7×#387C22semidirect
74. C7×#385C22semidirect
75. C7×#385C22semidirect
81. #89985C22semidirect
83. #89765C22semidirect
84. #89764C22semidirect
85. #89764C22semidirect
86. #89764C22semidirect
87. #89764C22semidirect
88. #89764C22semidirect
92. #89763C22semidirect
95. #89762C22semidirect
99. #89761C22semidirect
100. #89761C22semidirect
101. #89761C22semidirect
106. #89756C22semidirect
107. #89755C22semidirect
108. #89755C22semidirect
109. #89754C22semidirect
110. #89753C22semidirect
111. #89752C22semidirect
112. #89752C22semidirect
113. #89750C22semidirect
114. #89750C22semidirect
116. #89733C22semidirect
119. #89732C22semidirect
120. #89732C22semidirect
121. #89732C22semidirect
123. #89731C22semidirect
135. #89728C22semidirect
136. #89724C22semidirect
137. #89723C22semidirect
140. #89716C22semidirect
145. #89712C22semidirect
146. #89712C22semidirect
147. #89449C22semidirect
148. #89447C22semidirect
149. #89446C22semidirect
153. #89444C22semidirect
154. #89443C22semidirect
155. #89442C22semidirect
156. #89442C22semidirect
158. #89441C22semidirect
160. #89440C22semidirect
161. #89440C22semidirect
162. #89440C22semidirect
176. #89437C22semidirect
177. #89437C22semidirect
180. #89432C22semidirect
181. #89432C22semidirect
182. #89430C22semidirect
183. #89429C22semidirect
184. #89425C22semidirect
185. #89424C22semidirect
186. #89424C22semidirect
381. #2748D7semidirect
669. #399C2×D7semidirect
670. #399C2×D7semidirect
677. #398C2×D7semidirect
678. #398C2×D7semidirect
729. #387C2×D7semidirect
730. #387C2×D7semidirect
765. #385C2×D7semidirect
766. #385C2×D7semidirect
1609. C7#36727semidirect

Maximal subgroups

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

subgroupindex
C7×#27482
#117355582
#117355562
#117355482
#117355202
#117354362
#117354122
#117354102
#117353962
#117348612
#117348222
#117338872
#117338322
#117328552
#117327642
#117327432
#117326252
#117323802
#117323392
#117322592
#117322582
#117320732
#117320722
#117320532
#117320392
#117314932
D7×#3802
#117314312
#117314112
#367277