Finite Group Databasebeta

← #13561395

Subgroups — #13561395

Order 1792.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2626C211yesmaximal, characteristic, complemented
2#11740261C211yesmaximal, characteristic, complemented
3#11740207C211yesmaximal, characteristic, complemented
4#11739562C211yesmaximal, characteristic, complemented
5C2×#89730C211yesmaximal, characteristic
6#11735568C211yesmaximal, characteristic, complemented
7#11735564C211yesmaximal, characteristic, complemented
8#11735530C211yesmaximal, characteristic, complemented
9#11735507C211yesmaximal, characteristic, complemented
10#11734891C211yesmaximal, characteristic, complemented
11#11734890C211yesmaximal, characteristic, complemented
12#11734881C211yesmaximal, characteristic, complemented
13#11734878C211yesmaximal, characteristic, complemented
14#11734834C211yesmaximal, characteristic, complemented
15#11734833C211yesmaximal, characteristic, complemented
16#11734822C211yesmaximal, characteristic, complemented
17#11734817C211yesmaximal, characteristic, complemented
18#11734296C211yesmaximal, characteristic, complemented
19#11734292C211yesmaximal, characteristic, complemented
20#11734270C211yesmaximal, characteristic, complemented
21#11734269C211yesmaximal, characteristic, complemented
22#11732052C211yesmaximal, characteristic, complemented
23#11731860C211yesmaximal, characteristic, complemented
24#11731859C211yesmaximal, characteristic, complemented
25#11731858C211yesmaximal, characteristic, complemented
26#11731342C211yesmaximal, characteristic, complemented
27#11731341C211yesmaximal, characteristic, complemented
28#11731294C211yesmaximal, characteristic
29#11731291C211yesmaximal, characteristic, complemented
30#11731291C211yesmaximal, characteristic, complemented
31#11731264C211yesmaximal, characteristic
32C23×C22⋊D7C2211yescharacteristic
33C24×Dic7C2211yescharacteristic
34C2×C7×C22⋊Q8C2211yescharacteristic
35C22×C7×C22⋊C4C2211yescharacteristic
36C2×#6509C2211yescharacteristic, complemented
37C22×(C2×D7)⋊C4C2211yescharacteristic
38C22×(C2×D7)⋊C4C2211yescharacteristic
39C2×#6487C2211yescharacteristic
40C2×#6460C2211yescharacteristic, complemented
41C2×#6459C2211yescharacteristic, complemented
42C2×#6459C2211yescharacteristic, complemented
43C2×D7×C22⋊C4C2211yescharacteristic
44C2×D7×C22⋊C4C2211yescharacteristic
45C2×#6441C2211yescharacteristic
46C2×#6441C2211yescharacteristic
47C2×#6441C2211yescharacteristic, complemented
48C2×#6441C2211yescharacteristic, complemented
49C2×#6441C2211yescharacteristic, complemented
50C2×#6441C2211yescharacteristic, complemented
51C2×#6440C2211yescharacteristic
52C2×#6440C2211yescharacteristic
53C7×#399C2211yescharacteristic, complemented
54C7×#399C2211yescharacteristic, complemented
55C7×#396C2211yescharacteristic, complemented
56C7×#396C2211yescharacteristic, complemented
57C7×#396C2211yescharacteristic, complemented
58C7×#396C2211yescharacteristic, complemented
59C7×#393C2211yescharacteristic, complemented
60C7×#393C2211yescharacteristic, complemented
61C7×#385C2211yescharacteristic
62C7×#385C2211yescharacteristic
63C7×#380C2211yescharacteristic
64C7×#379C2211yescharacteristic
65C7×#379C2211yescharacteristic
66#90019C2211yescharacteristic
67#90019C2211yescharacteristic
68#90003C2211yescharacteristic, complemented
69#90002C2211yescharacteristic, complemented
70#90001C2211yescharacteristic, complemented
71#89984C2211yescharacteristic
72#89982C2211yescharacteristic
73#89982C2211yescharacteristic
74C2×C7⋊#95C2211yescharacteristic
75C2×C7⋊#95C2211yescharacteristic
76#89766C2211yescharacteristic, complemented
77#89766C2211yescharacteristic, complemented
78#89766C2211yescharacteristic, complemented
79#89766C2211yescharacteristic, complemented
80#89766C2211yescharacteristic, complemented
81#89766C2211yescharacteristic, complemented
82#89764C2211yescharacteristic, complemented
83#89764C2211yescharacteristic, complemented
84#89764C2211yescharacteristic, complemented
85#89761C2211yescharacteristic, complemented
86#89761C2211yescharacteristic, complemented
87#89761C2211yescharacteristic, complemented
88#89761C2211yescharacteristic, complemented
89#89759C2211yescharacteristic, complemented
90#89759C2211yescharacteristic, complemented
91#89757C2211yescharacteristic, complemented
92#89756C2211yescharacteristic, complemented
93#89756C2211yescharacteristic, complemented
94#89755C2211yescharacteristic, complemented
95#89755C2211yescharacteristic, complemented
96#89754C2211yescharacteristic, complemented
97#89753C2211yescharacteristic, complemented
98#89753C2211yescharacteristic, complemented
99#89752C2211yescharacteristic, complemented
100#89752C2211yescharacteristic, complemented
101#89751C2211yescharacteristic, complemented
102#89751C2211yescharacteristic, complemented
103#89750C2211yescharacteristic, complemented
104#89750C2211yescharacteristic, complemented
105#89746C2211yescharacteristic, complemented
106#89745C2211yescharacteristic, complemented
107#89744C2211yescharacteristic, complemented
108#89744C2211yescharacteristic, complemented
109#89730C2211yescharacteristic
110#89730C2211yescharacteristic
111#89730C2211yescharacteristic
112#89730C2211yescharacteristic
113#89730C2211yescharacteristic
114#89730C2211yescharacteristic
115#89730C2211yescharacteristic
116#89730C2211yescharacteristic
117#89729C2211yescharacteristic
118#89729C2211yescharacteristic
119#89729C2211yescharacteristic
120#89729C2211yescharacteristic
121#89729C2211yescharacteristic
122#89729C2211yescharacteristic
123#89729C2211yescharacteristic
124#89729C2211yescharacteristic
125#89728C2211yescharacteristic
126#89728C2211yescharacteristic
127#89728C2211yescharacteristic
128#89728C2211yescharacteristic
129#89728C2211yescharacteristic
130#89728C2211yescharacteristic
131#89728C2211yescharacteristic
132#89728C2211yescharacteristic
133#89727C2211yescharacteristic
134#89727C2211yescharacteristic
135#89722C2211yescharacteristic
136#89722C2211yescharacteristic
137#89722C2211yescharacteristic, complemented
138#89722C2211yescharacteristic, complemented
139#89722C2211yescharacteristic, complemented
140#89722C2211yescharacteristic, complemented
141#89721C2211yescharacteristic, complemented
142#89721C2211yescharacteristic, complemented
143#89720C2211yescharacteristic, complemented
144#89720C2211yescharacteristic, complemented
145#89720C2211yescharacteristic, complemented
146#89720C2211yescharacteristic, complemented
147#89719C2211yescharacteristic, complemented
148#89719C2211yescharacteristic, complemented
149#89718C2211yescharacteristic
150#89718C2211yescharacteristic
151#89718C2211yescharacteristic, complemented
152#89718C2211yescharacteristic, complemented
153#89718C2211yescharacteristic, complemented
154#89718C2211yescharacteristic, complemented
155#89715C2211yescharacteristic
156#89715C2211yescharacteristic
157#89714C2211yescharacteristic
158#89714C2211yescharacteristic
159#89714C2211yescharacteristic, complemented
160#89714C2211yescharacteristic, complemented
161#89714C2211yescharacteristic, complemented
162#89714C2211yescharacteristic, complemented
163#89449C2211yescharacteristic, complemented
164#89448C2211yescharacteristic, complemented
165#89448C2211yescharacteristic, complemented
166#89445C2211yescharacteristic, complemented
167#89445C2211yescharacteristic, complemented
168#89445C2211yescharacteristic, complemented
169#89440C2211yescharacteristic, complemented
170#89440C2211yescharacteristic, complemented
171#89440C2211yescharacteristic, complemented
172#89440C2211yescharacteristic, complemented
173#89439C2211yescharacteristic, complemented
174#89439C2211yescharacteristic, complemented
175#89431C2211yescharacteristic, complemented
176#89430C2211yescharacteristic, complemented
177#89430C2211yescharacteristic, complemented
178#89429C2211yescharacteristic, complemented
179#89429C2211yescharacteristic, complemented
180#89428C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89424C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36747—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×Q8C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7—42no—
194C22×C22⋊D7—42no—
195C22×C22⋊D7Q818yescomplemented
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C23×Dic7—42no—
201C23×Dic7—42no—
202C23×Dic7—42no—
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C7×C22⋊Q8—42no—
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4—42no—
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊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
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
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
256#6509—42no—
257C2×(C2×D7)⋊C4—42no—
258C2×(C2×D7)⋊C4—42no—
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×C4⋊Dic7C2311yescharacteristic
280C2×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288#6487—42no—
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315#6460—42no—
316#6459—42no—
317#6459—42no—
318D7×C22⋊C4—42no—
319D7×C22⋊C4—42no—
320#6441—42no—
321#6441—42no—
322#6441—42no—
323#6441—42no—
324#6441—42no—
325#6441—42no—
326#6440—42no—
327#6440—42no—
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
368#2848—71no—
369#2848—71no—
370#2804—71no—
371#2784—71no—
372#2784—71no—
373#2780—71no—
374#2780—71no—
375#2780—71no—
376#2780—71no—
377#2748—71no—
378#2748—71no—
379#2732—71no—
380#2732—71no—
381#2692—71no—
382#2692—71no—
383#2692—71no—
384#2692—71no—
385#2683—71no—
386#2626—71no—
387#2626D711yescharacteristic, complemented
388#2438—71no—
389#2438—71no—
390#2438—71no—
391#2438—71no—
392#2437—71no—
393#2437—71no—
394#2437—71no—
395#2437—71no—
396#2309—71no—
397#2308—71no—
398C2×#386—71no—
399C24×C7—22no—
400C24×C7—22no—
401C24×C7—41no—
402C24×C7—41no—
403C24×C7—41no—
404C24×C7—41no—
405C24×C7C2×Q814yes—
406C24×C7C2411yescharacteristic
407C24×C7C2411yescharacteristic
408C24×C7C2411yescharacteristic
409C23×D7—22no—
410C23×D7—22no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7C2×Q814yes—
416C23×D7C2411yescharacteristic
417C23×D7C2411yescharacteristic
418C2×C7×Q8—41no—
419C2×C7×Q8—41no—
420C2×C7×Q8—41no—
421C22×C4×C7—22no—
422C22×C4×C7—22no—
423C22×C4×C7—41no—
424C22×C4×C7—41no—
425C22×C4×C7—41no—
426C22×C4×C7—41no—
427C22×C4×C7C2411yescharacteristic
428C22×C4×C7C2411yescharacteristic
429C22×C4×C7C2411yescharacteristic
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
439C2×C22⋊D7—416no—
440C2×C22⋊D7—41no—
441C2×C22⋊D7—41no—
442C2×C22⋊D7—41no—
443C2×C22⋊D7—41no—
444C2×C22⋊D7—41no—
445C2×C22⋊D7—41no—
446C2×C22⋊D7—41no—
447C2×C22⋊D7—41no—
448C2×C22⋊D7C2×Q814yes—
449C2×C22⋊D7C2×Q814yes—
450C2×C22⋊D7C2×Q814yes—
451C2×C22⋊D7C2×Q814yes—
452C22×Dic7—22no—
453C22×Dic7—22no—
454C22×Dic7—22no—
455C22×Dic7—22no—
456C22×Dic7—22no—
457C22×Dic7—22no—
458C22×Dic7—22no—
459C22×Dic7—22no—
460C22×Dic7—22no—
461C22×Dic7—22no—
462C22×Dic7—41no—
463C22×Dic7—41no—
464C22×Dic7—41no—
465C22×Dic7—41no—
466C22×Dic7—41no—
467C22×Dic7—41no—
468C22×Dic7—41no—
469C22×Dic7—41no—
470C22×Dic7—41no—
471C22×Dic7—41no—
472C22×Dic7—416no—
473C22×Dic7C2×Q814yes—
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C2×C4×D7—41no—
489C2×C4×D7—41no—
490C2×C4×D7—41no—
491C2×C4×D7—41no—
492C2×C4×D7—41no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—41no—
500C2×Dic14—22no—
501C2×Dic14—22no—
502C2×Dic14—41no—
503C2×Dic14—41no—
504C2×Dic14—41no—
505C2×Dic14—41no—
506C2×Dic14—41no—
507C2×Dic14—41no—
508C2×Dic14—41no—
509C7×C4⋊C4—41no—
510C7×C4⋊C4—41no—
511C7×C4⋊C4—41no—
512C7×C4⋊C4—41no—
513C7×C4⋊C4—41no—
514C7×C4⋊C4—41no—
515C7×C4⋊C4—41no—
516C7×C4⋊C4—41no—
517C7×C4⋊C4—41no—
518C7×C22⋊C4—22no—
519C7×C22⋊C4—22no—
520C7×C22⋊C4—22no—
521C7×C22⋊C4—22no—
522C7×C22⋊C4—41no—
523C7×C22⋊C4—41no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4—41no—
532C7×C22⋊C4—41no—
533C7×C22⋊C4—41no—
534C22⋊Dic7—22no—
535C22⋊Dic7—22no—
536C22⋊Dic7—22no—
537C22⋊Dic7—22no—
538C22⋊Dic7—41no—
539C22⋊Dic7—41no—
540C22⋊Dic7—41no—
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—41no—
551(C2×D7)⋊C4—41no—
552(C2×D7)⋊C4—41no—
553(C2×D7)⋊C4—41no—
554(C2×D7)⋊C4—41no—
555(C2×D7)⋊C4—41no—
556(C2×D7)⋊C4—41no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
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—
566C4⋊Dic7—22no—
567C4⋊Dic7—22no—
568C4⋊Dic7—41no—
569C4⋊Dic7—41no—
570C4⋊Dic7—41no—
571C4⋊Dic7—41no—
572C4⋊Dic7—41no—
573C4⋊Dic7—41no—
574C4⋊Dic7—41no—
575Dic7⋊C4—22no—
576Dic7⋊C4—22no—
577Dic7⋊C4—22no—
578Dic7⋊C4—22no—
579Dic7⋊C4—41no—
580Dic7⋊C4—41no—
581Dic7⋊C4—41no—
582Dic7⋊C4—41no—
583Dic7⋊C4—41no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
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—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C23×D4—71no—
602C24×C4—71no—
603C2×C22⋊Q8—71no—
604C2×C22⋊Q8—71no—
605C2×C22⋊Q8—71no—
606C2×C22⋊Q8—71no—
607C2×C22⋊Q8—71no—
608C2×C22⋊Q8—71no—
609C2×C22⋊Q8—71no—
610C2×C22⋊Q8—71no—
611C2×C22⋊Q8—71no—
612C2×C22⋊Q8—71no—
613C2×C22⋊Q8—71no—
614C2×C22⋊Q8C2×D711yescharacteristic
615C2×#117—71no—
616C2×#117—71no—
617C22×C22⋊C4—71no—
618C22×C22⋊C4—71no—
619C22×C22⋊C4—71no—
620C22×C22⋊C4—71no—
621C22×C22⋊C4C2×D711yescharacteristic
622#400—71no—
623#400—71no—
624#400—71no—
625#400—71no—
626#399—71no—
627#399—71no—
628#399—71no—
629#399—71no—
630#399—71no—
631#399—71no—
632#399C2×D711yescharacteristic, complemented
633#399C2×D711yescharacteristic, complemented
634#398—71no—
635#398—71no—
636#398—71no—
637#398—71no—
638#398—71no—
639#398—71no—
640#398—71no—
641#398—71no—
642#396—71no—
643#396—71no—
644#396—71no—
645#396—71no—
646#396—71no—
647#396—71no—
648#396—71no—
649#396—71no—
650#396—71no—
651#396—71no—
652#396—71no—
653#396—71no—
654#396C2×D711yescharacteristic, complemented
655#396C2×D711yescharacteristic, complemented
656#396C2×D711yescharacteristic, complemented
657#396C2×D711yescharacteristic, complemented
658#395—71no—
659#395—71no—
660#395—71no—
661#395—71no—
662#393—71no—
663#393—71no—
664#393—71no—
665#393—71no—
666#393—71no—
667#393—71no—
668#393C2×D711yescharacteristic, complemented
669#393C2×D711yescharacteristic, complemented
670#391—71no—
671#391—71no—
672#391—71no—
673#391—71no—
674#390—71no—
675#390—71no—
676#390—71no—
677#390—71no—
678#390—71no—
679#390—71no—
680#390—71no—
681#390—71no—
682#389—71no—
683#389—71no—
684#389—71no—
685#389—71no—
686#387—71no—
687#387—71no—
688#387—71no—
689#387—71no—
690#387—71no—
691#387—71no—
692#387—71no—
693#387—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#385—71no—
711#385—71no—
712#385—71no—
713#385—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#381—71no—
735#381—71no—
736#380—71no—
737#380—71no—
738#380—71no—
739#380—71no—
740#380—71no—
741#380—71no—
742#380—71no—
743#380—71no—
744#380—71no—
745#380—71no—
746#380—71no—
747#380C2×D711yescharacteristic
748#379—71no—
749#379—71no—
750#379—71no—
751#379—71no—
752#379C2×D711yescharacteristic
753#379C2×D711yescharacteristic
754C2×#95—71no—
755C2×#95—71no—
756C23×C7—21no—
757C23×C7—21no—
758C23×C7—21no—
759C23×C7—21no—
760C23×C7—28no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—21no—
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—44no—
774C23×C7—44no—
775C23×C7—44no—
776C23×C7—44no—
777C23×C7—44no—
778C23×C7—44no—
779C23×C7C22×Q812yes—
780C23×C7C22×Q812yes—
781C23×C7C22×Q812yes—
782C23×C7H(5,𝔽2)12yes—
783C23×C7H(5,𝔽2)12yes—
784C23×C7C2511yescharacteristic
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
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—28no—
798C22×D7—44no—
799C22×D7—44no—
800C22×D7—82no—
801C22×D7—82no—
802C22×D7—82no—
803C22×D7—82no—
804C22×D7C22×Q812yes—
805C22×D7C22×Q812yes—
806C7×Q8—82no—
807C2×C4×C7—21no—
808C2×C4×C7—21no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—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—82no—
844C2×C4×C7—82no—
845C22⋊D7—44no—
846C22⋊D7—44no—
847C22⋊D7—44no—
848C22⋊D7—44no—
849C2×Dic7—28no—
850C2×Dic7—21no—
851C2×Dic7—21no—
852C2×Dic7—21no—
853C2×Dic7—21no—
854C2×Dic7—21no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×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—44no—
889C2×Dic7—44no—
890C2×Dic7—44no—
891C2×Dic7—44no—
892C2×Dic7—44no—
893C2×Dic7—44no—
894C2×Dic7C22×Q812yes—
895C2×Dic7C22×Q812yes—
896C2×Dic7H(5,𝔽2)12yes—
897C2×Dic7H(5,𝔽2)12yes—
898C4×D7—82no—
899C4×D7—82no—
900C4×D7—82no—
901C4×D7—82no—
902Dic14—82no—
903Dic14—82no—
904Dic14—82no—
905C25—71no—
906C25C22×D711yescharacteristic
907C22×Q8—71no—
908C22×Q8—71no—
909C22×Q8—71no—
910C22×Q8C22×D711yescharacteristic
911C22×D4—78no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—282no—
917C22×D4—282no—
918C23×C4—71no—
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—282no—
930C23×C4—282no—
931C23×C4—282no—
932C23×C4C22×D711yescharacteristic
933C23×C4C22×D711yescharacteristic
934C22⋊Q8—42no—
935C22⋊Q8—282no—
936C22⋊Q8—282no—
937C22⋊Q8—282no—
938C22⋊Q8—282no—
939C22⋊Q8—282no—
940C22⋊Q8—282no—
941C22⋊Q8—282no—
942C22⋊Q8—282no—
943C22⋊Q8—282no—
944C22⋊Q8—282no—
945C22⋊Q8—282no—
946#117—282no—
947#117—282no—
948C2×C4⋊C4—71no—
949C2×C4⋊C4—71no—
950C2×C4⋊C4—71no—
951C2×C4⋊C4—71no—
952C2×C4⋊C4—71no—
953C2×C4⋊C4—71no—
954C2×C4⋊C4—71no—
955C2×C4⋊C4—71no—
956C2×C4⋊C4—71no—
957C2×C4⋊C4—71no—
958C2×C4⋊C4—71no—
959C2×C4⋊C4—71no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
986C2×C4⋊C4C22×D711yescharacteristic
987C2×C4⋊C4C22×D711yescharacteristic
988C2×C22⋊C4—42no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—282no—
1022C2×C22⋊C4—282no—
1023C2×C22⋊C4—282no—
1024C2×C22⋊C4—282no—
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C22⋊C4C22×D711yescharacteristic
1030C2×C22⋊C4C22×D711yescharacteristic
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C22⋊C4C22×D711yescharacteristic
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C22⋊C4C22×D711yescharacteristic
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045#95—71no—
1046#95—71no—
1047#95—71no—
1048#95—71no—
1049#95—71no—
1050#95—71no—
1051#95—71no—
1052#95—71no—
1053#95—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95C22×D711yescharacteristic
1080#95C22×D711yescharacteristic
1081#95C22×D711yescharacteristic
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085C22×C7—22no—
1086C22×C7—22no—
1087C22×C7—22no—
1088C22×C7—22no—
1089C22×C7—22no—
1090C22×C7—22no—
1091C22×C7—22no—
1092C22×C7—22no—
1093C22×C7—22no—
1094C22×C7—22no—
1095C22×C7—22no—
1096C22×C7—22no—
1097C22×C7—416no—
1098C22×C7—41no—
1099C22×C7—41no—
1100C22×C7—41no—
1101C22×C7—41no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7#54314yes—
1107C22×C7C23×Q811yescharacteristic
1108C22×C7C2×H(5,𝔽2)11yescharacteristic
1109C22×C7C2×H(5,𝔽2)11yescharacteristic
1110C22×C7C2×H(5,𝔽2)11yescharacteristic
1111C22×C7C2×H(5,𝔽2)11yescharacteristic
1112C22×C7#58511yescharacteristic
1113C22×C7#58511yescharacteristic
1114C2×D7—22no—
1115C2×D7—22no—
1116C2×D7—22no—
1117C2×D7—22no—
1118C2×D7—22no—
1119C2×D7—22no—
1120C2×D7—41no—
1121C2×D7—41no—
1122C2×D7—41no—
1123C2×D7—41no—
1124C2×D7—41no—
1125C2×D7—41no—
1126C2×D7—41no—
1127C2×D7—41no—
1128C2×D7—88no—
1129C4×C7—41no—
1130C4×C7—41no—
1131C4×C7—41no—
1132C4×C7—41no—
1133C4×C7—41no—
1134C4×C7—41no—
1135C4×C7—41no—
1136C4×C7—41no—
1137C4×C7—41no—
1138C4×C7—41no—
1139C4×C7—41no—
1140C4×C7—41no—
1141Dic7—22no—
1142Dic7—22no—
1143Dic7—22no—
1144Dic7—22no—
1145Dic7—41no—
1146Dic7—41no—
1147Dic7—41no—
1148Dic7—41no—
1149Dic7—41no—
1150Dic7—41no—
1151Dic7—41no—
1152Dic7—41no—
1153Dic7—41no—
1154Dic7—41no—
1155C24—22no—
1156C24—22no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24—71no—
1162C24—71no—
1163C24—74no—
1164C24—142no—
1165C24—142no—
1166C24—281no—
1167C24—281no—
1168C24—281no—
1169C24—281no—
1170C24Q8×D714yes—
1171C24C23×D711yescharacteristic
1172C24C23×D711yescharacteristic
1173C24C23×D711yescharacteristic
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×Q8—142no—
1178C2×Q8—142no—
1179C2×Q8—281no—
1180C2×Q8—281no—
1181C2×Q8—281no—
1182C2×Q8—281no—
1183C2×Q8—281no—
1184C2×Q8—281no—
1185C2×Q8—281no—
1186C2×D4—74no—
1187C2×D4—74no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—2816no—
1191C2×D4—281no—
1192C2×D4—281no—
1193C2×D4—281no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—74no—
1206C22×C4—71no—
1207C22×C4—71no—
1208C22×C4—71no—
1209C22×C4—71no—
1210C22×C4—71no—
1211C22×C4—71no—
1212C22×C4—71no—
1213C22×C4—71no—
1214C22×C4—71no—
1215C22×C4—71no—
1216C22×C4—71no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—142no—
1221C22×C4—142no—
1222C22×C4—142no—
1223C22×C4—142no—
1224C22×C4—142no—
1225C22×C4—142no—
1226C22×C4—142no—
1227C22×C4—142no—
1228C22×C4—142no—
1229C22×C4—142no—
1230C22×C4—281no—
1231C22×C4—281no—
1232C22×C4—281no—
1233C22×C4—281no—
1234C22×C4—281no—
1235C22×C4—281no—
1236C22×C4—281no—
1237C22×C4—281no—
1238C22×C4—281no—
1239C22×C4—281no—
1240C22×C4—281no—
1241C22×C4—281no—
1242C22×C4—281no—
1243C22×C4—281no—
1244C22×C4—281no—
1245C22×C4—281no—
1246C22×C4—281no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—2816no—
1253C22×C4C23×D711yescharacteristic
1254C22×C4C23×D711yescharacteristic
1255C22×C4C23×D711yescharacteristic
1256C22×C4C23×D711yescharacteristic
1257C22×C4C23×D711yescharacteristic
1258C22×C4C23×D711yescharacteristic
1259C22×C4C23×D711yescharacteristic
1260C22×C4C23×D711yescharacteristic
1261C22×C4C23×D711yescharacteristic
1262C22×C4C23×D711yescharacteristic
1263C22×C4C23×D711yescharacteristic
1264C22×C4C23×D711yescharacteristic
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—142no—
1275C4⋊C4—142no—
1276C4⋊C4—142no—
1277C4⋊C4—142no—
1278C4⋊C4—142no—
1279C4⋊C4—142no—
1280C4⋊C4—281no—
1281C4⋊C4—281no—
1282C4⋊C4—281no—
1283C4⋊C4—281no—
1284C4⋊C4—281no—
1285C4⋊C4—281no—
1286C4⋊C4—281no—
1287C4⋊C4—281no—
1288C4⋊C4—281no—
1289C4⋊C4—281no—
1290C4⋊C4—281no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—281no—
1330C22⋊C4—281no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4—281no—
1348C22⋊C4—281no—
1349C22⋊C4—281no—
1350C22⋊C4—281no—
1351C22⋊C4—281no—
1352C22⋊C4—281no—
1353C42—281no—
1354C42—281no—
1355C42—281no—
1356C42—281no—
1357C2×C7—24no—
1358C2×C7—42no—
1359C2×C7—42no—
1360C2×C7C2×#54311yescharacteristic
1361C2×C7#350111yescharacteristic
1362C2×C7#350111yescharacteristic
1363C2×C7#353211yescharacteristic
1364C2×C7#353311yescharacteristic
1365C2×C7#354211yescharacteristic
1366C2×C7#354211yescharacteristic
1367D7—42no—
1368D7—42no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—28no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—44no—
1387C23—44no—
1388C23—44no—
1389C23—44no—
1390C23—44no—
1391C23—44no—
1392C23—72no—
1393C23—72no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—148no—
1407C23—284no—
1408C23—284no—
1409C23—562no—
1410C23—562no—
1411C23—562no—
1412C23—562no—
1413C23#654812yes—
1414C23C2×Q8×D712yes—
1415C23C2×Q8×D712yes—
1416C23C2×Q8×D712yes—
1417C23#655312yes—
1418C23C24×D711yescharacteristic
1419Q8—82no—
1420Q8—562no—
1421Q8—562no—
1422Q8—562no—
1423D4—284no—
1424D4—284no—
1425D4—284no—
1426D4—284no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—72no—
1464C2×C4—72no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—148no—
1470C2×C4—141no—
1471C2×C4—141no—
1472C2×C4—141no—
1473C2×C4—141no—
1474C2×C4—141no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
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—284no—
1509C2×C4—284no—
1510C2×C4—284no—
1511C2×C4—284no—
1512C2×C4—284no—
1513C2×C4—284no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4—562no—
1518C7#3674711yescharacteristic, complemented, Sylow
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—416no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—281no—
1547C22—281no—
1548C22—281no—
1549C22—281no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—568no—
1555C22#9032514yes—
1556C22C2×#654811yescharacteristic
1557C22C22×Q8×D711yescharacteristic
1558C22C2×#655311yescharacteristic
1559C22D7×H(5,𝔽2)11yescharacteristic
1560C22D7×H(5,𝔽2)11yescharacteristic
1561C22#9061811yescharacteristic
1562C22#9061811yescharacteristic
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—142no—
1576C4—142no—
1577C4—142no—
1578C4—142no—
1579C4—281no—
1580C4—281no—
1581C4—281no—
1582C4—281no—
1583C4—281no—
1584C4—281no—
1585C4—281no—
1586C4—281no—
1587C4—281no—
1588C4—281no—
1589C2—24no—
1590C2—42no—
1591C2—42no—
1592C2—282no—
1593C2—282no—
1594C2C2×#9032511yescharacteristic
1595C2#1174337011yescharacteristic
1596C2#1174339111yescharacteristic
1597C2#1174346211yescharacteristic
1598C2#1174348611yescharacteristic
1599C2#1174364211yescharacteristic
1600C2#1174364211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2626C2
prime radicalC23×C22⋊D7C22
hypercenter#2626D7
hypocenterC7#36747
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2626

Complements

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

NH ≅ G/Ntype
1. C7×#2626C2semidirect
2. #11740261C2semidirect
3. #11740207C2semidirect
4. #11739562C2semidirect
6. #11735568C2semidirect
7. #11735564C2semidirect
8. #11735530C2semidirect
9. #11735507C2semidirect
10. #11734891C2semidirect
11. #11734890C2semidirect
12. #11734881C2semidirect
13. #11734878C2semidirect
14. #11734834C2semidirect
15. #11734833C2semidirect
16. #11734822C2semidirect
17. #11734817C2semidirect
18. #11734296C2semidirect
19. #11734292C2semidirect
20. #11734270C2semidirect
21. #11734269C2semidirect
22. #11732052C2semidirect
23. #11731860C2semidirect
24. #11731859C2semidirect
25. #11731858C2semidirect
26. #11731342C2semidirect
27. #11731341C2semidirect
29. #11731291C2semidirect
30. #11731291C2semidirect
36. C2×#6509C22semidirect
40. C2×#6460C22semidirect
41. C2×#6459C22semidirect
42. C2×#6459C22semidirect
47. C2×#6441C22semidirect
48. C2×#6441C22semidirect
49. C2×#6441C22semidirect
50. C2×#6441C22semidirect
53. C7×#399C22semidirect
54. C7×#399C22semidirect
55. C7×#396C22semidirect
56. C7×#396C22semidirect
57. C7×#396C22semidirect
58. C7×#396C22semidirect
59. C7×#393C22semidirect
60. C7×#393C22semidirect
68. #90003C22semidirect
69. #90002C22semidirect
70. #90001C22semidirect
76. #89766C22semidirect
77. #89766C22semidirect
78. #89766C22semidirect
79. #89766C22semidirect
80. #89766C22semidirect
81. #89766C22semidirect
82. #89764C22semidirect
83. #89764C22semidirect
84. #89764C22semidirect
85. #89761C22semidirect
86. #89761C22semidirect
87. #89761C22semidirect
88. #89761C22semidirect
89. #89759C22semidirect
90. #89759C22semidirect
91. #89757C22semidirect
92. #89756C22semidirect
93. #89756C22semidirect
94. #89755C22semidirect
95. #89755C22semidirect
96. #89754C22semidirect
97. #89753C22semidirect
98. #89753C22semidirect
99. #89752C22semidirect
100. #89752C22semidirect
101. #89751C22semidirect
102. #89751C22semidirect
103. #89750C22semidirect
104. #89750C22semidirect
105. #89746C22semidirect
106. #89745C22semidirect
107. #89744C22semidirect
108. #89744C22semidirect
137. #89722C22semidirect
138. #89722C22semidirect
139. #89722C22semidirect
140. #89722C22semidirect
141. #89721C22semidirect
142. #89721C22semidirect
143. #89720C22semidirect
144. #89720C22semidirect
145. #89720C22semidirect
146. #89720C22semidirect
147. #89719C22semidirect
148. #89719C22semidirect
151. #89718C22semidirect
152. #89718C22semidirect
153. #89718C22semidirect
154. #89718C22semidirect
159. #89714C22semidirect
160. #89714C22semidirect
161. #89714C22semidirect
162. #89714C22semidirect
163. #89449C22semidirect
164. #89448C22semidirect
165. #89448C22semidirect
166. #89445C22semidirect
167. #89445C22semidirect
168. #89445C22semidirect
169. #89440C22semidirect
170. #89440C22semidirect
171. #89440C22semidirect
172. #89440C22semidirect
173. #89439C22semidirect
174. #89439C22semidirect
175. #89431C22semidirect
176. #89430C22semidirect
177. #89430C22semidirect
178. #89429C22semidirect
179. #89429C22semidirect
180. #89428C22semidirect
181. #89425C22semidirect
182. #89425C22semidirect
183. #89424C22semidirect
184. #89424C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
195. C22×C22⋊D7Q8semidirect
387. #2626D7semidirect
632. #399C2×D7semidirect
633. #399C2×D7semidirect
654. #396C2×D7semidirect
655. #396C2×D7semidirect
656. #396C2×D7semidirect
657. #396C2×D7semidirect
668. #393C2×D7semidirect
669. #393C2×D7semidirect
1518. C7#36747semidirect

Maximal subgroups

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

subgroupindex
C7×#26262
#117402612
#117402072
#117395622
C2×#897302
#117355682
#117355642
#117355302
#117355072
#117348912
#117348902
#117348812
#117348782
#117348342
#117348332
#117348222
#117348172
#117342962
#117342922
#117342702
#117342692
#117320522
#117318602
#117318592
#117318582
#117313422
#117313412
#117312942
#117312912
#117312642
#367477