Finite Group Databasebeta

← #13561397

Subgroups — #13561397

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×#2784C211yesmaximal, characteristic, complemented
2#11735787C211yesmaximal, characteristic, complemented
3#11735732C211yesmaximal, characteristic, complemented
4#11734878C211yesmaximal, characteristic, complemented
5#11734869C211yesmaximal, characteristic, complemented
6#11734863C211yesmaximal, characteristic, complemented
7#11734833C211yesmaximal, characteristic, complemented
8#11734696C211yesmaximal, characteristic, complemented
9#11734660C211yesmaximal, characteristic, complemented
10#11734316C211yesmaximal, characteristic, complemented
11#11734310C211yesmaximal, characteristic, complemented
12#11734296C211yesmaximal, characteristic, complemented
13#11734270C211yesmaximal, characteristic, complemented
14#11733873C211yesmaximal, characteristic
15#11733846C211yesmaximal, characteristic, complemented
16#11732839C211yesmaximal, characteristic, complemented
17#11732763C211yesmaximal, characteristic, complemented
18#11732762C211yesmaximal, characteristic, complemented
19#11732682C211yesmaximal, characteristic, complemented
20#11732319C211yesmaximal, characteristic
21D7×#386C211yesmaximal, characteristic
22#11732306C211yesmaximal, characteristic, complemented
23#11732275C211yesmaximal, characteristic, complemented
24#11732100C211yesmaximal, characteristic, complemented
25#11732090C211yesmaximal, characteristic, complemented
26#11731961C211yesmaximal, characteristic, complemented
27#11731858C211yesmaximal, characteristic, complemented
28#11731494C211yesmaximal, characteristic, complemented
29#11731436C211yesmaximal, characteristic, complemented
30#11731431C211yesmaximal, characteristic, complemented
31#11731341C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×#6509C2211yescharacteristic
35C2×#6509C2211yescharacteristic, complemented
36C22×(C2×D7)⋊C4C2211yescharacteristic
37C2×#6487C2211yescharacteristic, complemented
38C2×#6460C2211yescharacteristic
39C2×#6460C2211yescharacteristic, complemented
40C2×#6460C2211yescharacteristic, complemented
41C2×#6459C2211yescharacteristic
42C2×#6459C2211yescharacteristic
43C2×#6459C2211yescharacteristic, complemented
44C2×#6455C2211yescharacteristic
45C2×D7×C22⋊C4C2211yescharacteristic
46C2×D7×C22⋊C4C2211yescharacteristic
47C2×D7×C22⋊C4C2211yescharacteristic
48C2×D7×C22⋊C4C2211yescharacteristic
49C2×#6441C2211yescharacteristic, complemented
50C2×#6441C2211yescharacteristic, complemented
51C2×#6441C2211yescharacteristic, complemented
52C2×#6435C2211yescharacteristic
53C7×#400C2211yescharacteristic, complemented
54C7×#396C2211yescharacteristic, complemented
55C7×#396C2211yescharacteristic, complemented
56C7×#395C2211yescharacteristic, complemented
57C7×#393C2211yescharacteristic, complemented
58C7×#393C2211yescharacteristic, complemented
59C7×#390C2211yescharacteristic
60C7×#387C2211yescharacteristic, complemented
61C7×#387C2211yescharacteristic, complemented
62C7×#386C2211yescharacteristic
63C7×#386C2211yescharacteristic
64C7×#385C2211yescharacteristic, complemented
65C7×#385C2211yescharacteristic, complemented
66C7×#380C2211yescharacteristic, complemented
67C7×#380C2211yescharacteristic, complemented
68#90003C2211yescharacteristic, complemented
69#90002C2211yescharacteristic, complemented
70#89993C2211yescharacteristic
71#89992C2211yescharacteristic
72#89992C2211yescharacteristic
73#89985C2211yescharacteristic
74#89985C2211yescharacteristic
75#89984C2211yescharacteristic, complemented
76#89982C2211yescharacteristic, complemented
77#89982C2211yescharacteristic, complemented
78#89766C2211yescharacteristic, complemented
79#89766C2211yescharacteristic, complemented
80#89766C2211yescharacteristic, complemented
81#89766C2211yescharacteristic, complemented
82#89766C2211yescharacteristic, complemented
83#89764C2211yescharacteristic, complemented
84#89764C2211yescharacteristic, complemented
85#89761C2211yescharacteristic
86#89761C2211yescharacteristic
87#89761C2211yescharacteristic, complemented
88#89761C2211yescharacteristic, complemented
89#89761C2211yescharacteristic, complemented
90#89760C2211yescharacteristic
91#89759C2211yescharacteristic
92#89759C2211yescharacteristic
93#89759C2211yescharacteristic, complemented
94#89756C2211yescharacteristic, complemented
95#89756C2211yescharacteristic, complemented
96#89756C2211yescharacteristic, complemented
97#89756C2211yescharacteristic, complemented
98#89753C2211yescharacteristic, complemented
99#89752C2211yescharacteristic, complemented
100#89751C2211yescharacteristic, complemented
101#89745C2211yescharacteristic, complemented
102#89744C2211yescharacteristic, complemented
103#89730C2211yescharacteristic
104#89730C2211yescharacteristic
105#89729C2211yescharacteristic
106#89729C2211yescharacteristic
107#89729C2211yescharacteristic
108#89729C2211yescharacteristic
109#89728C2211yescharacteristic
110#89728C2211yescharacteristic
111#89728C2211yescharacteristic
112#89728C2211yescharacteristic
113#89727C2211yescharacteristic
114#89727C2211yescharacteristic
115#89727C2211yescharacteristic
116#89727C2211yescharacteristic
117#89727C2211yescharacteristic
118#89727C2211yescharacteristic
119#89722C2211yescharacteristic, complemented
120#89722C2211yescharacteristic, complemented
121#89722C2211yescharacteristic, complemented
122#89721C2211yescharacteristic, complemented
123#89721C2211yescharacteristic, complemented
124#89721C2211yescharacteristic, complemented
125#89721C2211yescharacteristic, complemented
126#89720C2211yescharacteristic, complemented
127#89720C2211yescharacteristic, complemented
128#89720C2211yescharacteristic, complemented
129#89720C2211yescharacteristic, complemented
130#89720C2211yescharacteristic, complemented
131#89720C2211yescharacteristic, complemented
132#89719C2211yescharacteristic, complemented
133#89719C2211yescharacteristic, complemented
134#89718C2211yescharacteristic, complemented
135#89714C2211yescharacteristic, complemented
136#89711C2211yescharacteristic
137#89701C2211yescharacteristic, complemented
138#89700C2211yescharacteristic, complemented
139#89449C2211yescharacteristic, complemented
140#89449C2211yescharacteristic, complemented
141#89448C2211yescharacteristic, complemented
142#89448C2211yescharacteristic, complemented
143#89448C2211yescharacteristic, complemented
144#89445C2211yescharacteristic, complemented
145#89445C2211yescharacteristic, complemented
146#89445C2211yescharacteristic, complemented
147#89440C2211yescharacteristic
148#89440C2211yescharacteristic
149#89440C2211yescharacteristic
150#89440C2211yescharacteristic
151#89440C2211yescharacteristic
152#89440C2211yescharacteristic
153#89440C2211yescharacteristic, complemented
154#89440C2211yescharacteristic, complemented
155#89440C2211yescharacteristic, complemented
156#89440C2211yescharacteristic, complemented
157#89440C2211yescharacteristic, complemented
158#89439C2211yescharacteristic
159#89439C2211yescharacteristic
160#89439C2211yescharacteristic, complemented
161#89439C2211yescharacteristic, complemented
162#89439C2211yescharacteristic, complemented
163#89437C2211yescharacteristic
164#89437C2211yescharacteristic
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89436C2211yescharacteristic
168#89436C2211yescharacteristic
169D7×#95C2211yescharacteristic
170D7×#95C2211yescharacteristic
171#89433C2211yescharacteristic, complemented
172#89432C2211yescharacteristic, complemented
173#89431C2211yescharacteristic, complemented
174#89430C2211yescharacteristic, complemented
175#89429C2211yescharacteristic, complemented
176#89429C2211yescharacteristic, complemented
177#89428C2211yescharacteristic, complemented
178#89428C2211yescharacteristic, complemented
179#89427C2211yescharacteristic, complemented
180#89426C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36747—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×Q8C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C23×Dic7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C2×D4×D7—42no—
199C2×D4×D7—42no—
200C2×D4×D7Q818yescomplemented
201C22×D28C2311yescharacteristic
202C22×C4×D7—42no—
203C22×C4×D7—42no—
204C22×C4×D7—42no—
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
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×C42×C7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246#6509—42no—
247#6509—42no—
248C2×(C2×D7)⋊C4—42no—
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×C4⋊Dic7C2311yescharacteristic
278C2×C4⋊Dic7C2311yescharacteristic
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
288C2×C4⋊Dic7C2311yescharacteristic
289#6487—42no—
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×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313#6460—42no—
314#6460—42no—
315#6460—42no—
316#6459—42no—
317#6459—42no—
318#6459—42no—
319#6455—42no—
320D7×C22⋊C4—42no—
321D7×C22⋊C4—42no—
322D7×C22⋊C4—42no—
323D7×C22⋊C4—42no—
324#6441—42no—
325#6441—42no—
326#6441—42no—
327#6435—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#2784D711yescharacteristic, complemented
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#2626—71no—
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×C7C2411yescharacteristic
400C24×C7C2411yescharacteristic
401C23×D7—22no—
402C23×D7—22no—
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—41no—
406C23×D7—41no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7—41no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7C2×Q814yes—
414C23×D7C2×Q814yes—
415C23×D7C2411yescharacteristic
416C23×D7C2411yescharacteristic
417C23×D7C2411yescharacteristic
418C2×C7×Q8—41no—
419C2×C7×Q8—41no—
420C2×C7×Q8—41no—
421C2×C7×D4—41no—
422C2×C7×D4—41no—
423C2×C7×D4C2×Q814yes—
424C22×C4×C7—22no—
425C22×C4×C7—41no—
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—41no—
444C2×C22⋊D7—41no—
445C2×C22⋊D7—41no—
446C2×C22⋊D7—41no—
447C2×C22⋊D7C2×Q814yes—
448C2×C22⋊D7C2×Q814yes—
449C22×Dic7—22no—
450C22×Dic7—41no—
451C22×Dic7—41no—
452C22×Dic7—41no—
453C22×Dic7—41no—
454C22×Dic7—41no—
455C22×Dic7C2411yescharacteristic
456C22×Dic7C2411yescharacteristic
457C22×Dic7C2411yescharacteristic
458C22×Dic7C2411yescharacteristic
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468D4×D7—416no—
469C2×D28—41no—
470C2×D28—41no—
471C2×D28C2×Q814yes—
472C2×C4×D7—22no—
473C2×C4×D7—22no—
474C2×C4×D7—22no—
475C2×C4×D7—22no—
476C2×C4×D7—22no—
477C2×C4×D7—22no—
478C2×C4×D7—22no—
479C2×C4×D7—22no—
480C2×C4×D7—22no—
481C2×C4×D7—22no—
482C2×C4×D7—41no—
483C2×C4×D7—41no—
484C2×C4×D7—41no—
485C2×C4×D7—41no—
486C2×C4×D7—41no—
487C2×C4×D7—41no—
488C2×C4×D7—416no—
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×D7C2×Q814yes—
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—22no—
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×C22⋊C4—22no—
518C7×C22⋊C4—41no—
519C7×C22⋊C4—41no—
520C7×C22⋊C4—41no—
521C7×C22⋊C4—41no—
522C7×C22⋊C4—41no—
523C7×C22⋊C4—41no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C42×C7—41no—
528C22⋊Dic7—22no—
529C22⋊Dic7—41no—
530C22⋊Dic7—41no—
531C22⋊Dic7—41no—
532C22⋊Dic7—41no—
533C22⋊Dic7—41no—
534C22⋊Dic7—41no—
535C22⋊Dic7—41no—
536C22⋊Dic7—41no—
537C22⋊Dic7—41no—
538(C2×D7)⋊C4—22no—
539(C2×D7)⋊C4—22no—
540(C2×D7)⋊C4—22no—
541(C2×D7)⋊C4—22no—
542(C2×D7)⋊C4—22no—
543(C2×D7)⋊C4—22no—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—41no—
549(C2×D7)⋊C4—41no—
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—22no—
569C4⋊Dic7—41no—
570C4⋊Dic7—41no—
571C4⋊Dic7—41no—
572C4⋊Dic7—41no—
573C4⋊Dic7—41no—
574C4⋊Dic7—41no—
575C4⋊Dic7—41no—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578Dic7⋊C4—22no—
579Dic7⋊C4—22no—
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—
597Dic7⋊C4—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⋊Q8—71no—
615C2×#117—71no—
616C2×#117—71no—
617C22×C22⋊C4—71no—
618C22×C22⋊C4—71no—
619C22×C22⋊C4—71no—
620C22×C22⋊C4—71no—
621C22×C22⋊C4—71no—
622#400—71no—
623#400—71no—
624#400—71no—
625#400C2×D711yescharacteristic, complemented
626#399—71no—
627#399—71no—
628#399—71no—
629#399—71no—
630#399—71no—
631#399—71no—
632#399—71no—
633#399—71no—
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#396—71no—
655#396—71no—
656#396C2×D711yescharacteristic, complemented
657#396C2×D711yescharacteristic, complemented
658#395—71no—
659#395—71no—
660#395—71no—
661#395C2×D711yescharacteristic, complemented
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#390C2×D711yescharacteristic
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#387C2×D711yescharacteristic, complemented
693#387C2×D711yescharacteristic, complemented
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#386C2×D711yescharacteristic
709#386C2×D711yescharacteristic
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, complemented
733#385C2×D711yescharacteristic, complemented
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#380C2×D711yescharacteristic, complemented
747#380C2×D711yescharacteristic, complemented
748#379—71no—
749#379—71no—
750#379—71no—
751#379—71no—
752#379—71no—
753#379—71no—
754C2×#95—71no—
755C2×#95—71no—
756C23×C7—21no—
757C23×C7—21no—
758C23×C7—21no—
759C23×C7—21no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7C22×Q812yes—
769C23×C7C22×Q812yes—
770C23×C7C2511yescharacteristic
771C22×D7—21no—
772C22×D7—21no—
773C22×D7—21no—
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—28no—
788C22×D7—28no—
789C22×D7—44no—
790C22×D7—44no—
791C22×D7—44no—
792C22×D7—44no—
793C22×D7—44no—
794C22×D7—44no—
795C22×D7—44no—
796C22×D7—44no—
797C22×D7—82no—
798C22×D7—82no—
799C22×D7—82no—
800C22×D7—82no—
801C22×D7C22×Q812yes—
802C22×D7C22×Q812yes—
803C22×D7C22×Q812yes—
804C22×D7H(5,𝔽2)12yes—
805C22×D7H(5,𝔽2)12yes—
806C7×Q8—82no—
807C7×D4—44no—
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—21no—
844C2×C4×C7—21no—
845C2×C4×C7—44no—
846C2×C4×C7—82no—
847C2×C4×C7C22×Q812yes—
848C2×C4×C7H(5,𝔽2)12yes—
849C22⋊D7—44no—
850C22⋊D7—44no—
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—82no—
890C2×Dic7C22×Q812yes—
891C2×Dic7H(5,𝔽2)12yes—
892D28—44no—
893C4×D7—28no—
894C4×D7—44no—
895C4×D7—44no—
896C4×D7—44no—
897C4×D7—44no—
898C4×D7—82no—
899C4×D7—82no—
900C4×D7—82no—
901C4×D7—82no—
902Dic14—82no—
903Dic14—82no—
904Dic14—82no—
905C25—71no—
906C25—71no—
907C22×Q8—71no—
908C22×Q8—71no—
909C22×Q8—71no—
910C22×Q8C22×D711yescharacteristic
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—78no—
914C22×D4—71no—
915C22×D4—282no—
916C22×D4—282no—
917C22×D4C22×D711yescharacteristic
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—282no—
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⋊C4—71no—
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—71no—
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—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—282no—
1027C2×C22⋊C4—282no—
1028C2×C22⋊C4—282no—
1029C2×C22⋊C4—282no—
1030C2×C22⋊C4—282no—
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×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1074#95C22×D711yescharacteristic
1075#95C22×D711yescharacteristic
1076#95C22×D711yescharacteristic
1077#95C22×D711yescharacteristic
1078#95C22×D711yescharacteristic
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—41no—
1092C22×C7—41no—
1093C22×C7—41no—
1094C22×C7—41no—
1095C22×C7—41no—
1096C22×C7—41no—
1097C22×C7—41no—
1098C22×C7—41no—
1099C22×C7C23×Q811yescharacteristic
1100C22×C7C2×H(5,𝔽2)11yescharacteristic
1101C22×C7C2×H(5,𝔽2)11yescharacteristic
1102C22×C7C2×H(5,𝔽2)11yescharacteristic
1103C22×C7C2×H(5,𝔽2)11yescharacteristic
1104C22×C7#58511yescharacteristic
1105C22×C7#58511yescharacteristic
1106C2×D7—22no—
1107C2×D7—22no—
1108C2×D7—22no—
1109C2×D7—22no—
1110C2×D7—22no—
1111C2×D7—22no—
1112C2×D7—22no—
1113C2×D7—22no—
1114C2×D7—22no—
1115C2×D7—22no—
1116C2×D7—22no—
1117C2×D7—22no—
1118C2×D7—416no—
1119C2×D7—41no—
1120C2×D7—41no—
1121C2×D7—41no—
1122C2×D7—41no—
1123C2×D7—41no—
1124C2×D7—41no—
1125C2×D7—41no—
1126C2×D7—41no—
1127C2×D7—88no—
1128C2×D7#54314yes—
1129C4×C7—22no—
1130C4×C7—22no—
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—
1141C4×C7—41no—
1142Dic7—22no—
1143Dic7—22no—
1144Dic7—41no—
1145Dic7—41no—
1146Dic7—41no—
1147Dic7—41no—
1148Dic7—41no—
1149Dic7—41no—
1150Dic7—41no—
1151Dic7—41no—
1152Dic7—41no—
1153Dic7—41no—
1154Dic7—41no—
1155C24—71no—
1156C24—71no—
1157C24—71no—
1158C24—74no—
1159C24—74no—
1160C24—142no—
1161C24—142no—
1162C24—142no—
1163C24—142no—
1164C24—281no—
1165C24—281no—
1166C24—281no—
1167C24—281no—
1168C24—281no—
1169C24—281no—
1170C24—281no—
1171C24—281no—
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—41no—
1187C2×D4—41no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—74no—
1191C2×D4—281no—
1192C2×D4—281no—
1193C2×D4—2816no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4Q8×D714yes—
1199C22×C4—22no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—71no—
1206C22×C4—71no—
1207C22×C4—74no—
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—142no—
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—2816no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4C23×D711yescharacteristic
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—22no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—142no—
1274C4⋊C4—142no—
1275C4⋊C4—142no—
1276C4⋊C4—142no—
1277C4⋊C4—142no—
1278C4⋊C4—281no—
1279C4⋊C4—281no—
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—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—281no—
1327C22⋊C4—281no—
1328C22⋊C4—281no—
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—41no—
1354C42—281no—
1355C42—281no—
1356C42—281no—
1357C2×C7—42no—
1358C2×C7—42no—
1359C2×C7C2×#54311yescharacteristic
1360C2×C7#350111yescharacteristic
1361C2×C7#350111yescharacteristic
1362C2×C7#353211yescharacteristic
1363C2×C7#353311yescharacteristic
1364C2×C7#354211yescharacteristic
1365C2×C7#354211yescharacteristic
1366D7—24no—
1367D7—42no—
1368D7—42no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—72no—
1382C23—72no—
1383C23—72no—
1384C23—72no—
1385C23—72no—
1386C23—148no—
1387C23—148no—
1388C23—141no—
1389C23—141no—
1390C23—141no—
1391C23—141no—
1392C23—141no—
1393C23—141no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—284no—
1405C23—284no—
1406C23—284no—
1407C23—284no—
1408C23—284no—
1409C23—284no—
1410C23—284no—
1411C23—284no—
1412C23—562no—
1413C23—562no—
1414C23—562no—
1415C23—562no—
1416C23C2×Q8×D712yes—
1417C23C2×Q8×D712yes—
1418C23C24×D711yescharacteristic
1419Q8—82no—
1420Q8—562no—
1421Q8—562no—
1422Q8—562no—
1423D4—44no—
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—21no—
1464C2×C4—44no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—82no—
1468C2×C4—148no—
1469C2×C4—141no—
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—284no—
1507C2×C4—284no—
1508C2×C4—284no—
1509C2×C4—284no—
1510C2×C4—284no—
1511C2×C4—562no—
1512C2×C4—562no—
1513C2×C4—562no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4C2×Q8×D712yes—
1517C2×C4#655312yes—
1518C7#3674711yescharacteristic, complemented, Sylow
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—74no—
1534C22—142no—
1535C22—142no—
1536C22—142no—
1537C22—142no—
1538C22—142no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—2816no—
1547C22—281no—
1548C22—281no—
1549C22—281no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—568no—
1556C22C22×Q8×D711yescharacteristic
1557C22C2×#655311yescharacteristic
1558C22#9061611yescharacteristic
1559C22D7×H(5,𝔽2)11yescharacteristic
1560C22D7×H(5,𝔽2)11yescharacteristic
1561C22D7×H(5,𝔽2)11yescharacteristic
1562C22#9061811yescharacteristic
1563C4—22no—
1564C4—22no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—142no—
1577C4—142no—
1578C4—281no—
1579C4—281no—
1580C4—281no—
1581C4—281no—
1582C4—281no—
1583C4—281no—
1584C4—281no—
1585C4—281no—
1586C4—281no—
1587C4—281no—
1588C4—281no—
1589C2—42no—
1590C2—42no—
1591C2—144no—
1592C2—282no—
1593C2—282no—
1594C2#1174348611yescharacteristic
1595C2#1174348711yescharacteristic
1596C2D7×#54311yescharacteristic
1597C2#1174401611yescharacteristic
1598C2#1174401711yescharacteristic
1599C2#1174403411yescharacteristic
1600C2#1174414211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2784C2
prime radicalC22×D4×D7C22
hypercenter#2784D7
hypocenterC7#36747
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2784

Complements

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

NH ≅ G/Ntype
1. C7×#2784C2semidirect
2. #11735787C2semidirect
3. #11735732C2semidirect
4. #11734878C2semidirect
5. #11734869C2semidirect
6. #11734863C2semidirect
7. #11734833C2semidirect
8. #11734696C2semidirect
9. #11734660C2semidirect
10. #11734316C2semidirect
11. #11734310C2semidirect
12. #11734296C2semidirect
13. #11734270C2semidirect
15. #11733846C2semidirect
16. #11732839C2semidirect
17. #11732763C2semidirect
18. #11732762C2semidirect
19. #11732682C2semidirect
22. #11732306C2semidirect
23. #11732275C2semidirect
24. #11732100C2semidirect
25. #11732090C2semidirect
26. #11731961C2semidirect
27. #11731858C2semidirect
28. #11731494C2semidirect
29. #11731436C2semidirect
30. #11731431C2semidirect
31. #11731341C2semidirect
35. C2×#6509C22semidirect
37. C2×#6487C22semidirect
39. C2×#6460C22semidirect
40. C2×#6460C22semidirect
43. C2×#6459C22semidirect
49. C2×#6441C22semidirect
50. C2×#6441C22semidirect
51. C2×#6441C22semidirect
53. C7×#400C22semidirect
54. C7×#396C22semidirect
55. C7×#396C22semidirect
56. C7×#395C22semidirect
57. C7×#393C22semidirect
58. C7×#393C22semidirect
60. C7×#387C22semidirect
61. C7×#387C22semidirect
64. C7×#385C22semidirect
65. C7×#385C22semidirect
66. C7×#380C22semidirect
67. C7×#380C22semidirect
68. #90003C22semidirect
69. #90002C22semidirect
75. #89984C22semidirect
76. #89982C22semidirect
77. #89982C22semidirect
78. #89766C22semidirect
79. #89766C22semidirect
80. #89766C22semidirect
81. #89766C22semidirect
82. #89766C22semidirect
83. #89764C22semidirect
84. #89764C22semidirect
87. #89761C22semidirect
88. #89761C22semidirect
89. #89761C22semidirect
93. #89759C22semidirect
94. #89756C22semidirect
95. #89756C22semidirect
96. #89756C22semidirect
97. #89756C22semidirect
98. #89753C22semidirect
99. #89752C22semidirect
100. #89751C22semidirect
101. #89745C22semidirect
102. #89744C22semidirect
119. #89722C22semidirect
120. #89722C22semidirect
121. #89722C22semidirect
122. #89721C22semidirect
123. #89721C22semidirect
124. #89721C22semidirect
125. #89721C22semidirect
126. #89720C22semidirect
127. #89720C22semidirect
128. #89720C22semidirect
129. #89720C22semidirect
130. #89720C22semidirect
131. #89720C22semidirect
132. #89719C22semidirect
133. #89719C22semidirect
134. #89718C22semidirect
135. #89714C22semidirect
137. #89701C22semidirect
138. #89700C22semidirect
139. #89449C22semidirect
140. #89449C22semidirect
141. #89448C22semidirect
142. #89448C22semidirect
143. #89448C22semidirect
144. #89445C22semidirect
145. #89445C22semidirect
146. #89445C22semidirect
153. #89440C22semidirect
154. #89440C22semidirect
155. #89440C22semidirect
156. #89440C22semidirect
157. #89440C22semidirect
160. #89439C22semidirect
161. #89439C22semidirect
162. #89439C22semidirect
171. #89433C22semidirect
172. #89432C22semidirect
173. #89431C22semidirect
174. #89430C22semidirect
175. #89429C22semidirect
176. #89429C22semidirect
177. #89428C22semidirect
178. #89428C22semidirect
179. #89427C22semidirect
180. #89426C22semidirect
181. #89425C22semidirect
182. #89425C22semidirect
183. #89424C22semidirect
184. #89419C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
200. C2×D4×D7Q8semidirect
372. #2784D7semidirect
625. #400C2×D7semidirect
656. #396C2×D7semidirect
657. #396C2×D7semidirect
661. #395C2×D7semidirect
668. #393C2×D7semidirect
669. #393C2×D7semidirect
692. #387C2×D7semidirect
693. #387C2×D7semidirect
732. #385C2×D7semidirect
733. #385C2×D7semidirect
746. #380C2×D7semidirect
747. #380C2×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×#27842
#117357872
#117357322
#117348782
#117348692
#117348632
#117348332
#117346962
#117346602
#117343162
#117343102
#117342962
#117342702
#117338732
#117338462
#117328392
#117327632
#117327622
#117326822
#117323192
D7×#3862
#117323062
#117322752
#117321002
#117320902
#117319612
#117318582
#117314942
#117314362
#117314312
#117313412
#367477