Finite Group Databasebeta

← #14216869

Subgroups — #14216869

Order 1792.

2212 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2578C211yesmaximal, characteristic, complemented
2#11735801C211yesmaximal, characteristic, complemented
3#11735635C211yesmaximal, characteristic, complemented
4#11735134C211yesmaximal, characteristic, complemented
5#11734969C211yesmaximal, characteristic, complemented
6#11734958C211yesmaximal, characteristic, complemented
7#11734944C211yesmaximal, characteristic, complemented
8#11734572C211yesmaximal, characteristic, complemented
9#11734361C211yesmaximal, characteristic, complemented
10#11733381C211yesmaximal, characteristic, complemented
11#11733301C211yesmaximal, characteristic, complemented
12#11733284C211yesmaximal, characteristic, complemented
13#11733284C211yesmaximal, characteristic, complemented
14#11732772C211yesmaximal, characteristic, complemented
15#11732754C211yesmaximal, characteristic, complemented
16#11732480C211yesmaximal, characteristic, complemented
17#11732479C211yesmaximal, characteristic, complemented
18#11732356C211yesmaximal, characteristic, complemented
19#11732196C211yesmaximal, characteristic, complemented
20#11732123C211yesmaximal, characteristic, complemented
21#11732104C211yesmaximal, characteristic, complemented
22#11732060C211yesmaximal, characteristic, complemented
23#11731824C211yesmaximal, characteristic, complemented
24#11731751C211yesmaximal, characteristic, complemented
25#11731751C211yesmaximal, characteristic, complemented
26#11731388C211yesmaximal, characteristic, complemented
27#11731378C211yesmaximal, characteristic, complemented
28#11731052C211yesmaximal, characteristic, complemented
29#11731024C211yesmaximal, characteristic, complemented
30C4×#6445C211yesmaximal, characteristic, complemented
31#11730916C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×#6502C2211yescharacteristic
34C2×#6500C2211yescharacteristic
35C2×D4×Dic7C2211yescharacteristic
36C2×#6493C2211yescharacteristic
37C2×C4×C22⋊D7C2211yescharacteristic
38C2×C4×C22⋊D7C2211yescharacteristic, complemented
39C2×#6460C2211yescharacteristic, complemented
40C2×#6459C2211yescharacteristic, complemented
41C2×#6458C2211yescharacteristic
42C2×#6456C2211yescharacteristic
43C2×#6456C2211yescharacteristic
44C2×#6456C2211yescharacteristic, complemented
45C2×#6447C2211yescharacteristic
46C2×#6447C2211yescharacteristic
47C2×#6447C2211yescharacteristic
48C2×#6445C2211yescharacteristic
49C2×#6445C2211yescharacteristic
50C2×(C22⋊D7)⋊C4C2211yescharacteristic
51C2×(C22⋊D7)⋊C4C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
54C2×#6441C2211yescharacteristic, complemented
55C2×C4×D28C2211yescharacteristic
56C2×C4×D28C2211yescharacteristic
57C7×#400C2211yescharacteristic, complemented
58C7×#397C2211yescharacteristic
59C7×#397C2211yescharacteristic, complemented
60C7×#394C2211yescharacteristic
61C7×#388C2211yescharacteristic
62C7×#388C2211yescharacteristic, complemented
63C7×#387C2211yescharacteristic, complemented
64C7×#387C2211yescharacteristic, complemented
65C7×#386C2211yescharacteristic
66C7×#386C2211yescharacteristic
67C7×#385C2211yescharacteristic
68C7×#383C2211yescharacteristic, complemented
69C7×#380C2211yescharacteristic, complemented
70C4×C7×C22⋊C4C2211yescharacteristic
71C4×C7×C22⋊C4C2211yescharacteristic, complemented
72#89995C2211yescharacteristic
73#89985C2211yescharacteristic
74#89985C2211yescharacteristic
75#89982C2211yescharacteristic
76C2×C7⋊#95C2211yescharacteristic, complemented
77#89765C2211yescharacteristic
78#89764C2211yescharacteristic
79#89764C2211yescharacteristic
80#89763C2211yescharacteristic
81#89762C2211yescharacteristic
82#89761C2211yescharacteristic
83#89761C2211yescharacteristic
84#89759C2211yescharacteristic, complemented
85#89753C2211yescharacteristic, complemented
86#89751C2211yescharacteristic, complemented
87#89750C2211yescharacteristic, complemented
88#89750C2211yescharacteristic, complemented
89#89750C2211yescharacteristic, complemented
90#89749C2211yescharacteristic, complemented
91#89732C2211yescharacteristic
92#89732C2211yescharacteristic, complemented
93#89731C2211yescharacteristic
94#89731C2211yescharacteristic
95#89730C2211yescharacteristic
96#89730C2211yescharacteristic
97#89730C2211yescharacteristic
98#89730C2211yescharacteristic, complemented
99#89730C2211yescharacteristic, complemented
100#89728C2211yescharacteristic
101#89728C2211yescharacteristic
102#89728C2211yescharacteristic
103#89728C2211yescharacteristic
104#89728C2211yescharacteristic
105#89728C2211yescharacteristic, complemented
106#89728C2211yescharacteristic, complemented
107#89727C2211yescharacteristic
108#89727C2211yescharacteristic
109#89727C2211yescharacteristic
110#89724C2211yescharacteristic
111#89724C2211yescharacteristic
112#89723C2211yescharacteristic, complemented
113#89722C2211yescharacteristic
114#89721C2211yescharacteristic
115#89719C2211yescharacteristic
116#89716C2211yescharacteristic
117#89714C2211yescharacteristic, complemented
118C22⋊C4×Dic7C2211yescharacteristic
119C22⋊C4×Dic7C2211yescharacteristic
120C22⋊C4×Dic7C2211yescharacteristic, complemented
121#89712C2211yescharacteristic
122#89712C2211yescharacteristic
123#89712C2211yescharacteristic, complemented
124C4×(C2×D7)⋊C4C2211yescharacteristic
125C4×(C2×D7)⋊C4C2211yescharacteristic
126C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
127C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
128C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
129#89705C2211yescharacteristic, complemented
130#89705C2211yescharacteristic, complemented
131#89447C2211yescharacteristic
132#89447C2211yescharacteristic
133#89447C2211yescharacteristic
134#89447C2211yescharacteristic
135#89447C2211yescharacteristic, complemented
136#89447C2211yescharacteristic, complemented
137#89446C2211yescharacteristic
138#89445C2211yescharacteristic
139#89445C2211yescharacteristic
140#89444C2211yescharacteristic
141#89444C2211yescharacteristic
142#89443C2211yescharacteristic
143#89442C2211yescharacteristic, complemented
144#89442C2211yescharacteristic, complemented
145#89441C2211yescharacteristic
146#89441C2211yescharacteristic, complemented
147#89440C2211yescharacteristic
148#89440C2211yescharacteristic
149#89440C2211yescharacteristic
150#89440C2211yescharacteristic
151#89439C2211yescharacteristic, complemented
152#89439C2211yescharacteristic, complemented
153#89439C2211yescharacteristic, complemented
154#89438C2211yescharacteristic
155#89438C2211yescharacteristic
156#89438C2211yescharacteristic
157#89438C2211yescharacteristic
158#89438C2211yescharacteristic, complemented
159#89437C2211yescharacteristic
160#89437C2211yescharacteristic
161#89437C2211yescharacteristic
162#89437C2211yescharacteristic
163#89437C2211yescharacteristic
164#89437C2211yescharacteristic
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic, complemented
169#89437C2211yescharacteristic, complemented
170D7×#95C2211yescharacteristic, complemented
171D7×#95C2211yescharacteristic, complemented
172#89430C2211yescharacteristic, complemented
173#89430C2211yescharacteristic, complemented
174#89427C2211yescharacteristic, complemented
175#89427C2211yescharacteristic, complemented
176#89426C2211yescharacteristic, complemented
177#89426C2211yescharacteristic, complemented
178#89425C2211yescharacteristic, complemented
179#89425C2211yescharacteristic, complemented
180#89425C2211yescharacteristic, complemented
181#89424C2211yescharacteristic, complemented
182#89424C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89423C2211yescharacteristic, complemented
185#89422C2211yescharacteristic, complemented
186#89422C2211yescharacteristic, complemented
187#60032—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
198C23×Dic7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×C4×D7—42no—
207C22×C4×D7—42no—
208C22×C4×D7—42no—
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×Dic14C2311yescharacteristic
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×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244#6502—24no—
245#6500—24no—
246D4×Dic7—42no—
247#6493—24no—
248C4×C22⋊D7—42no—
249C4×C22⋊D7—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
299C2×C4×Dic7C2311yescharacteristic
300C2×C4×Dic7C2311yescharacteristic
301C2×C4×Dic7C2311yescharacteristic
302C2×C4×Dic7C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306#6460—42no—
307#6459—42no—
308#6458—24no—
309#6456—42no—
310#6456—42no—
311#6456—42no—
312#6447—24no—
313#6447—24no—
314#6447—24no—
315#6445—24no—
316#6445—24no—
317(C22⋊D7)⋊C4—42no—
318(C22⋊D7)⋊C4—42no—
319(C22⋊D7)⋊C4—42no—
320(C22⋊D7)⋊C4—42no—
321#6441—42no—
322C4×D28—42no—
323C4×D28—42no—
324C7×#95C2311yescharacteristic
325C7×#95C2311yescharacteristic
326C7×#95C2311yescharacteristic
327C7×#95C2311yescharacteristic
328C7×#95C2311yescharacteristic
329C7×#95C2311yescharacteristic
330C7×#95C2311yescharacteristic
331C7×#95C2311yescharacteristic
332C7×#95C2311yescharacteristic
333C7×#95C2311yescharacteristic
334C7×#95C2311yescharacteristic
335C7×#95C2311yescharacteristic
336C7×#95C2311yescharacteristic
337C7×#95C2311yescharacteristic
338C7⋊#95C2311yescharacteristic
339C7⋊#95C2311yescharacteristic
340C7⋊#95C2311yescharacteristic
341C7⋊#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370#2736—71no—
371#2668—71no—
372#2668—71no—
373#2668—71no—
374#2578—71no—
375#2578—71no—
376#2578—71no—
377#2578—71no—
378#2578—71no—
379#2578D711yescharacteristic, complemented
380#2564—71no—
381#2564—71no—
382#2564—71no—
383#2535—71no—
384#2535—71no—
385#2535—71no—
386#2517—71no—
387#2517—71no—
388#2517—71no—
389#2463—71no—
390#2463—71no—
391#2463—71no—
392#2364—71no—
393#2364—71no—
394#2364—71no—
395#2364—71no—
396#2364—71no—
397#2364—71no—
398C4×#120—71no—
399C4×#120—71no—
400C4×#120—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—41no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7C2411yescharacteristic
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C2×C7×D4—22no—
415C2×C7×D4—22no—
416C2×C7×D4—41no—
417C22×C4×C7—22no—
418C22×C4×C7—22no—
419C22×C4×C7—41no—
420C22×C4×C7—41no—
421C22×C4×C7—41no—
422C22×C4×C7—41no—
423C22×C4×C7C2411yescharacteristic
424C22×C4×C7C2411yescharacteristic
425C22×C4×C7C2411yescharacteristic
426C22×C4×C7C2411yescharacteristic
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
436C2×C22⋊D7—22no—
437C2×C22⋊D7—22no—
438C2×C22⋊D7—22no—
439C2×C22⋊D7—22no—
440C2×C22⋊D7—22no—
441C2×C22⋊D7—22no—
442C2×C22⋊D7—22no—
443C2×C22⋊D7—22no—
444C2×C22⋊D7—41no—
445C2×C22⋊D7—41no—
446C2×C22⋊D7—41no—
447C2×C22⋊D7—41no—
448C2×C22⋊D7—41no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7#4114yes—
453C2×C22⋊D7#4114yes—
454C22×Dic7—22no—
455C22×Dic7—22no—
456C22×Dic7—22no—
457C22×Dic7—22no—
458C22×Dic7—41no—
459C22×Dic7—41no—
460C22×Dic7—41no—
461C22×Dic7—41no—
462C22×Dic7—41no—
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C2×D28—22no—
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—22no—
479C2×D28—22no—
480C2×D28—22no—
481C2×D28—22no—
482C2×D28—22no—
483C2×D28—41no—
484C2×D28—41no—
485C2×D28—41no—
486C2×D28—41no—
487C2×D28—41no—
488C2×D28—41no—
489C2×D28#4114yes—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—416no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×Dic14—41no—
522C2×Dic14—41no—
523C2×Dic14—41no—
524C7×C4⋊C4—22no—
525C7×C4⋊C4—22no—
526C7×C4⋊C4—41no—
527C7×C4⋊C4—41no—
528C7×C4⋊C4—41no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—22no—
531C7×C22⋊C4—22no—
532C7×C22⋊C4—22no—
533C7×C22⋊C4—22no—
534C7×C22⋊C4—22no—
535C7×C22⋊C4—41no—
536C7×C22⋊C4—41no—
537C7×C22⋊C4—41no—
538C7×C22⋊C4—41no—
539C42×C7—41no—
540C42×C7—41no—
541C42×C7—41no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—41no—
546C22⋊Dic7—41no—
547C22⋊Dic7—41no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580C4⋊Dic7—22no—
581C4⋊Dic7—22no—
582C4⋊Dic7—22no—
583C4⋊Dic7—22no—
584Dic7⋊C4—22no—
585Dic7⋊C4—22no—
586Dic7⋊C4—22no—
587Dic7⋊C4—22no—
588Dic7⋊C4—22no—
589Dic7⋊C4—22no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596C4×Dic7—22no—
597C4×Dic7—22no—
598C4×Dic7—22no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C24×C4—71no—
605C2×C22⋊Q8—71no—
606C2×C22⋊Q8—71no—
607C2×C22⋊Q8—71no—
608C2×#121—71no—
609C2×#121—71no—
610C2×#121—71no—
611C2×#121—71no—
612C2×#121—71no—
613C2×#121—71no—
614C2×#120—71no—
615C2×#120—71no—
616C2×#120—71no—
617C2×C4×D4—71no—
618C2×C4×D4—71no—
619C2×C4×D4—71no—
620C2×C4×D4—71no—
621C2×C4×D4—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4—71no—
628C2×C4×D4—71no—
629#400—71no—
630#400—71no—
631#400C2×D711yescharacteristic, complemented
632#399—71no—
633#399—71no—
634#399—71no—
635#397—71no—
636#397—71no—
637#397—71no—
638#397—71no—
639#397—71no—
640#397—71no—
641#397—71no—
642#397—71no—
643#397—71no—
644#397—71no—
645#397C2×D711yescharacteristic
646#397C2×D711yescharacteristic, complemented
647#395—71no—
648#394—71no—
649#394—71no—
650#394—71no—
651#394—71no—
652#394—71no—
653#394C2×D711yescharacteristic
654#393—71no—
655#393—71no—
656#393—71no—
657#392—71no—
658#392—71no—
659#392—71no—
660#392—71no—
661#388—71no—
662#388—71no—
663#388—71no—
664#388—71no—
665#388—71no—
666#388—71no—
667#388—71no—
668#388—71no—
669#388—71no—
670#388—71no—
671#388C2×D711yescharacteristic
672#388C2×D711yescharacteristic, complemented
673#387—71no—
674#387—71no—
675#387—71no—
676#387—71no—
677#387—71no—
678#387—71no—
679#387—71no—
680#387—71no—
681#387—71no—
682#387—71no—
683#387—71no—
684#387—71no—
685#387—71no—
686#387—71no—
687#387—71no—
688#387—71no—
689#387C2×D711yescharacteristic, complemented
690#387C2×D711yescharacteristic, complemented
691#386—71no—
692#386—71no—
693#386—71no—
694#386—71no—
695#386—71no—
696#386—71no—
697#386—71no—
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386—71no—
703#386—71no—
704#386—71no—
705#386—71no—
706#386—71no—
707#386—71no—
708#386—71no—
709#386—71no—
710#386—71no—
711#386—71no—
712#386—71no—
713#386—71no—
714#386—71no—
715#386—71no—
716#386C2×D711yescharacteristic
717#386C2×D711yescharacteristic
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#385C2×D711yescharacteristic
727#383—71no—
728#383C2×D711yescharacteristic, complemented
729#382—71no—
730#382—71no—
731#382—71no—
732#380—71no—
733#380—71no—
734#380—71no—
735#380—71no—
736#380—71no—
737#380C2×D711yescharacteristic, complemented
738#379—71no—
739#379—71no—
740#379—71no—
741C4×C22⋊C4—71no—
742C4×C22⋊C4—71no—
743C4×C22⋊C4—71no—
744C4×C22⋊C4—71no—
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4C2×D711yescharacteristic
755C4×C22⋊C4C2×D711yescharacteristic, complemented
756C2×#95—71no—
757C2×#95—71no—
758C2×#95—71no—
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×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7C2×#4112yes—
772C23×C7C2×#4112yes—
773C23×C7C2511yescharacteristic
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—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—21no—
798C22×D7—44no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7C2×#4112yes—
806C22×D7C2×#4112yes—
807C22×D7C2×#4112yes—
808C22×D7C2×#4112yes—
809C7×D4—44no—
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—21no—
846C2×C4×C7—21no—
847C2×C4×C7—44no—
848C2×C4×C7—82no—
849C2×C4×C7C2×#4112yes—
850C2×C4×C7H(5,𝔽2)12yes—
851C22⋊D7—44no—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C22⋊D7—44no—
855C22⋊D7—44no—
856C22⋊D7—44no—
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—21no—
889C2×Dic7—44no—
890C2×Dic7—82no—
891C2×Dic7—82no—
892C2×Dic7C2×#4112yes—
893C2×Dic7C2×#4112yes—
894C2×Dic7H(5,𝔽2)12yes—
895C2×Dic7H(5,𝔽2)12yes—
896D28—44no—
897D28—44no—
898D28—44no—
899D28—44no—
900D28—44no—
901C4×D7—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—44no—
905C4×D7—82no—
906C4×D7—82no—
907C4×D7—82no—
908C4×D7—82no—
909C4×D7—82no—
910C4×D7—82no—
911Dic14—82no—
912C25—71no—
913C22×Q8—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4—71no—
919C22×D4—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4C22×D711yescharacteristic
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4—282no—
940C23×C4—282no—
941C23×C4—282no—
942C23×C4C22×D711yescharacteristic
943C23×C4C22×D711yescharacteristic
944C22⋊Q8—282no—
945C22⋊Q8—282no—
946C22⋊Q8—282no—
947#121—144no—
948#121—144no—
949#121—144no—
950#121—144no—
951#121—144no—
952#121—144no—
953#120—144no—
954#120—144no—
955#120—144no—
956C4×D4—282no—
957C4×D4—282no—
958C4×D4—282no—
959C4×D4—282no—
960C4×D4—282no—
961C4×D4—282no—
962C4×D4—282no—
963C4×D4—282no—
964C4×D4—282no—
965C4×D4—282no—
966C4×D4—282no—
967C4×D4—282no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
986C2×C4⋊C4C22×D711yescharacteristic
987C2×C4⋊C4C22×D711yescharacteristic
988C2×C4⋊C4C22×D711yescharacteristic
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—71no—
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×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42C22×D711yescharacteristic
1046C2×C42C22×D711yescharacteristic
1047C2×C42C22×D711yescharacteristic
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#95—71no—
1080#95C22×D711yescharacteristic
1081#95C22×D711yescharacteristic
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094C22×C7—22no—
1095C22×C7—22no—
1096C22×C7—22no—
1097C22×C7—22no—
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—41no—
1101C22×C7—41no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7C22×#4111yescharacteristic
1109C22×C7C22×#4111yescharacteristic
1110C22×C7C22×#4111yescharacteristic
1111C22×C7C2×H(5,𝔽2)11yescharacteristic
1112C22×C7C2×H(5,𝔽2)11yescharacteristic
1113C22×C7C2×H(5,𝔽2)11yescharacteristic
1114C22×C7#58511yescharacteristic
1115C2×D7—22no—
1116C2×D7—22no—
1117C2×D7—22no—
1118C2×D7—22no—
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—22no—
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—416no—
1128C2×D7—41no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154C4×C7—41no—
1155C4×C7—41no—
1156C4×C7—41no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—22no—
1160Dic7—22no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169C24—71no—
1170C24—71no—
1171C24—71no—
1172C24—71no—
1173C24—142no—
1174C24—142no—
1175C24—142no—
1176C24—281no—
1177C24—281no—
1178C24—281no—
1179C24—281no—
1180C24C23×D711yescharacteristic
1181C24C23×D711yescharacteristic
1182C2×Q8—281no—
1183C2×Q8—281no—
1184C2×Q8—281no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—41no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—74no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—142no—
1195C2×D4—142no—
1196C2×D4—142no—
1197C2×D4—142no—
1198C2×D4—142no—
1199C2×D4—142no—
1200C2×D4—142no—
1201C2×D4—142no—
1202C2×D4—142no—
1203C2×D4—142no—
1204C2×D4—142no—
1205C2×D4—142no—
1206C2×D4—142no—
1207C2×D4—281no—
1208C2×D4—281no—
1209C2×D4—281no—
1210C2×D4—281no—
1211C2×D4—281no—
1212C2×D4—281no—
1213C2×D4—281no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C2×D4—281no—
1218C2×D4—281no—
1219C2×D4—281no—
1220C2×D4—281no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—71no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—71no—
1237C22×C4—71no—
1238C22×C4—71no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—142no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—142no—
1249C22×C4—142no—
1250C22×C4—142no—
1251C22×C4—142no—
1252C22×C4—142no—
1253C22×C4—142no—
1254C22×C4—142no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4—281no—
1265C22×C4—281no—
1266C22×C4—281no—
1267C22×C4—281no—
1268C22×C4—281no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—2816no—
1274C22×C4—281no—
1275C22×C4—281no—
1276C22×C4—281no—
1277C22×C4—281no—
1278C22×C4—281no—
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C22×C4C23×D711yescharacteristic
1289C22×C4C23×D711yescharacteristic
1290C22×C4C23×D711yescharacteristic
1291C22×C4C23×D711yescharacteristic
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—142no—
1298C4⋊C4—142no—
1299C4⋊C4—142no—
1300C4⋊C4—142no—
1301C4⋊C4—142no—
1302C4⋊C4—142no—
1303C4⋊C4—142no—
1304C4⋊C4—142no—
1305C4⋊C4—142no—
1306C4⋊C4—142no—
1307C4⋊C4—281no—
1308C4⋊C4—281no—
1309C4⋊C4—281no—
1310C4⋊C4—281no—
1311C4⋊C4—281no—
1312C4⋊C4—281no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
1335C22⋊C4—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—142no—
1341C22⋊C4—142no—
1342C22⋊C4—142no—
1343C22⋊C4—142no—
1344C22⋊C4—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—
1353C22⋊C4—281no—
1354C22⋊C4—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C42—41no—
1362C42—41no—
1363C42—41no—
1364C42—142no—
1365C42—142no—
1366C42—142no—
1367C42—281no—
1368C42—281no—
1369C42—281no—
1370C42—281no—
1371C42—281no—
1372C2×C7—42no—
1373C2×C7—42no—
1374C2×C7#348111yescharacteristic
1375C2×C7#348111yescharacteristic
1376C2×C7#348111yescharacteristic
1377C2×C7#350511yescharacteristic
1378C2×C7#350511yescharacteristic
1379C2×C7#350511yescharacteristic
1380C2×C7#353211yescharacteristic
1381D7—42no—
1382D7—42no—
1383D7—42no—
1384D7—42no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—72no—
1398C23—72no—
1399C23—72no—
1400C23—72no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—284no—
1426C23—284no—
1427C23—284no—
1428C23—284no—
1429C23—284no—
1430C23—284no—
1431C23—284no—
1432C23D7×#4112yes—
1433C23D7×#4112yes—
1434C23C24×D711yescharacteristic
1435Q8—562no—
1436D4—44no—
1437D4—284no—
1438D4—284no—
1439D4—284no—
1440D4—284no—
1441D4—284no—
1442D4—284no—
1443D4—284no—
1444D4—284no—
1445D4—284no—
1446D4—284no—
1447D4—284no—
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—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—44no—
1486C2×C4—72no—
1487C2×C4—72no—
1488C2×C4—72no—
1489C2×C4—72no—
1490C2×C4—82no—
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—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—284no—
1524C2×C4—284no—
1525C2×C4—284no—
1526C2×C4—284no—
1527C2×C4—284no—
1528C2×C4—562no—
1529C2×C4—562no—
1530C2×C4—562no—
1531C2×C4—562no—
1532C2×C4—562no—
1533C2×C4—562no—
1534C2×C4—562no—
1535C2×C4—562no—
1536C2×C4D7×#4112yes—
1537C2×C4#655312yes—
1538C7#6003211yescharacteristic, complemented, Sylow
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—142no—
1554C22—142no—
1555C22—142no—
1556C22—142no—
1557C22—142no—
1558C22—142no—
1559C22—142no—
1560C22—142no—
1561C22—142no—
1562C22—142no—
1563C22—142no—
1564C22—142no—
1565C22—2816no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22—281no—
1576C22—281no—
1577C22—281no—
1578C22—281no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22C2×D7×#4111yescharacteristic
1583C22C2×D7×#4111yescharacteristic
1584C22C2×D7×#4111yescharacteristic
1585C22C2×#655311yescharacteristic
1586C22#9061611yescharacteristic
1587C22D7×H(5,𝔽2)11yescharacteristic
1588C22D7×H(5,𝔽2)11yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—142no—
1603C4—142no—
1604C4—142no—
1605C4—142no—
1606C4—281no—
1607C4—281no—
1608C4—281no—
1609C4—281no—
1610C4—281no—
1611C4—281no—
1612C4—281no—
1613C4—281no—
1614C2—42no—
1615C2—42no—
1616C2—282no—
1617C2—282no—
1618C2—282no—
1619C2—282no—
1620C2#1174322111yescharacteristic
1621C2#1174322611yescharacteristic
1622C2#1174348611yescharacteristic
1623C2#1174385911yescharacteristic
1624C2#1174388511yescharacteristic
1625C2#1174394411yescharacteristic
1626C2#1174398011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2578C2
hypercenter#2578D7
hypocenterC7#60032
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2578

Complements

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

NH ≅ G/Ntype
1. C7×#2578C2semidirect
2. #11735801C2semidirect
3. #11735635C2semidirect
4. #11735134C2semidirect
5. #11734969C2semidirect
6. #11734958C2semidirect
7. #11734944C2semidirect
8. #11734572C2semidirect
9. #11734361C2semidirect
10. #11733381C2semidirect
11. #11733301C2semidirect
12. #11733284C2semidirect
13. #11733284C2semidirect
14. #11732772C2semidirect
15. #11732754C2semidirect
16. #11732480C2semidirect
17. #11732479C2semidirect
18. #11732356C2semidirect
19. #11732196C2semidirect
20. #11732123C2semidirect
21. #11732104C2semidirect
22. #11732060C2semidirect
23. #11731824C2semidirect
24. #11731751C2semidirect
25. #11731751C2semidirect
26. #11731388C2semidirect
27. #11731378C2semidirect
28. #11731052C2semidirect
29. #11731024C2semidirect
30. C4×#6445C2semidirect
31. #11730916C2semidirect
38. C2×C4×C22⋊D7C22semidirect
39. C2×#6460C22semidirect
40. C2×#6459C22semidirect
44. C2×#6456C22semidirect
53. C2×(C22⋊D7)⋊C4C22semidirect
54. C2×#6441C22semidirect
57. C7×#400C22semidirect
59. C7×#397C22semidirect
62. C7×#388C22semidirect
63. C7×#387C22semidirect
64. C7×#387C22semidirect
68. C7×#383C22semidirect
69. C7×#380C22semidirect
71. C4×C7×C22⋊C4C22semidirect
76. C2×C7⋊#95C22semidirect
84. #89759C22semidirect
85. #89753C22semidirect
86. #89751C22semidirect
87. #89750C22semidirect
88. #89750C22semidirect
89. #89750C22semidirect
90. #89749C22semidirect
92. #89732C22semidirect
98. #89730C22semidirect
99. #89730C22semidirect
105. #89728C22semidirect
106. #89728C22semidirect
112. #89723C22semidirect
117. #89714C22semidirect
120. C22⋊C4×Dic7C22semidirect
123. #89712C22semidirect
126. C4×(C2×D7)⋊C4C22semidirect
127. C4×(C2×D7)⋊C4C22semidirect
128. C4×(C2×D7)⋊C4C22semidirect
129. #89705C22semidirect
130. #89705C22semidirect
135. #89447C22semidirect
136. #89447C22semidirect
143. #89442C22semidirect
144. #89442C22semidirect
146. #89441C22semidirect
151. #89439C22semidirect
152. #89439C22semidirect
153. #89439C22semidirect
158. #89438C22semidirect
168. #89437C22semidirect
169. #89437C22semidirect
170. D7×#95C22semidirect
171. D7×#95C22semidirect
172. #89430C22semidirect
173. #89430C22semidirect
174. #89427C22semidirect
175. #89427C22semidirect
176. #89426C22semidirect
177. #89426C22semidirect
178. #89425C22semidirect
179. #89425C22semidirect
180. #89425C22semidirect
181. #89424C22semidirect
182. #89424C22semidirect
183. #89424C22semidirect
184. #89423C22semidirect
185. #89422C22semidirect
186. #89422C22semidirect
379. #2578D7semidirect
631. #400C2×D7semidirect
646. #397C2×D7semidirect
672. #388C2×D7semidirect
689. #387C2×D7semidirect
690. #387C2×D7semidirect
728. #383C2×D7semidirect
737. #380C2×D7semidirect
755. C4×C22⋊C4C2×D7semidirect
1538. C7#60032semidirect

Maximal subgroups

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

subgroupindex
C7×#25782
#117358012
#117356352
#117351342
#117349692
#117349582
#117349442
#117345722
#117343612
#117333812
#117333012
#117332842
#117327722
#117327542
#117324802
#117324792
#117323562
#117321962
#117321232
#117321042
#117320602
#117318242
#117317512
#117313882
#117313782
#117310522
#117310242
C4×#64452
#117309162
#600327