Finite Group Databasebeta

← #13562656

Subgroups — #13562656

Order 1792.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2564C211yesmaximal, characteristic, complemented
2#11740206C211yesmaximal, characteristic, complemented
3#11740190C211yesmaximal, characteristic, complemented
4#11739848C211yesmaximal, characteristic
5#11739769C211yesmaximal, characteristic, complemented
6#11735845C211yesmaximal, characteristic, complemented
7#11735839C211yesmaximal, characteristic, complemented
8#11735518C211yesmaximal, characteristic, complemented
9#11735510C211yesmaximal, characteristic, complemented
10#11734712C211yesmaximal, characteristic, complemented
11#11734664C211yesmaximal, characteristic, complemented
12#11734325C211yesmaximal, characteristic, complemented
13#11734274C211yesmaximal, characteristic, complemented
14#11732873C211yesmaximal, characteristic, complemented
15#11732872C211yesmaximal, characteristic, complemented
16#11732846C211yesmaximal, characteristic, complemented
17#11732619C211yesmaximal, characteristic, complemented
18#11732381C211yesmaximal, characteristic, complemented
19#11732351C211yesmaximal, characteristic, complemented
20#11732173C211yesmaximal, characteristic, complemented
21#11732173C211yesmaximal, characteristic, complemented
22#11732074C211yesmaximal, characteristic, complemented
23#11731967C211yesmaximal, characteristic, complemented
24#11731960C211yesmaximal, characteristic, complemented
25#11731957C211yesmaximal, characteristic, complemented
26#11731494C211yesmaximal, characteristic, complemented
27#11731397C211yesmaximal, characteristic, complemented
28#11731354C211yesmaximal, characteristic, complemented
29#11731354C211yesmaximal, characteristic, complemented
30C2×#89437C211yesmaximal, characteristic, complemented
31#11730802C211yesmaximal, characteristic, complemented
32C23×D28C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×C22⋊Q8C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic
36C2×#6510C2211yescharacteristic
37C2×#6510C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×#6500C2211yescharacteristic
40C2×#6493C2211yescharacteristic
41C2×#6493C2211yescharacteristic
42C22×(C2×D7)⋊C4C2211yescharacteristic
43C22×(C2×D7)⋊C4C2211yescharacteristic
44C22×(C2×D7)⋊C4C2211yescharacteristic
45C2×#6487C2211yescharacteristic
46C2×#6487C2211yescharacteristic
47C2×#6461C2211yescharacteristic, complemented
48C2×#6461C2211yescharacteristic, complemented
49C2×#6460C2211yescharacteristic, complemented
50C2×#6460C2211yescharacteristic, complemented
51C2×#6448C2211yescharacteristic, complemented
52C2×#6448C2211yescharacteristic, complemented
53C2×#6446C2211yescharacteristic, complemented
54C2×#6446C2211yescharacteristic, complemented
55C7×#400C2211yescharacteristic, complemented
56C7×#399C2211yescharacteristic, complemented
57C7×#395C2211yescharacteristic, complemented
58C7×#393C2211yescharacteristic, complemented
59C7×#387C2211yescharacteristic, complemented
60C7×#387C2211yescharacteristic, complemented
61C7×#386C2211yescharacteristic
62C7×#386C2211yescharacteristic
63C7×#385C2211yescharacteristic, complemented
64C7×#385C2211yescharacteristic, complemented
65C7×#380C2211yescharacteristic
66C7×#380C2211yescharacteristic
67C2×C7×#95C2211yescharacteristic
68#90002C2211yescharacteristic, complemented
69#90002C2211yescharacteristic, complemented
70#89992C2211yescharacteristic
71#89992C2211yescharacteristic
72#89984C2211yescharacteristic
73#89984C2211yescharacteristic, complemented
74#89983C2211yescharacteristic, complemented
75#89982C2211yescharacteristic
76#89982C2211yescharacteristic
77C4×C22⋊Dic7C2211yescharacteristic
78C2×C7⋊#95C2211yescharacteristic
79#89766C2211yescharacteristic, complemented
80#89766C2211yescharacteristic, complemented
81#89766C2211yescharacteristic, complemented
82#89766C2211yescharacteristic, complemented
83#89766C2211yescharacteristic, complemented
84#89766C2211yescharacteristic, complemented
85#89765C2211yescharacteristic, complemented
86#89765C2211yescharacteristic, complemented
87#89763C2211yescharacteristic
88#89763C2211yescharacteristic
89#89763C2211yescharacteristic
90#89763C2211yescharacteristic
91#89763C2211yescharacteristic
92#89763C2211yescharacteristic
93#89762C2211yescharacteristic, complemented
94#89762C2211yescharacteristic, complemented
95#89760C2211yescharacteristic
96#89760C2211yescharacteristic
97#89759C2211yescharacteristic, complemented
98#89759C2211yescharacteristic, complemented
99#89757C2211yescharacteristic, complemented
100#89757C2211yescharacteristic, complemented
101#89753C2211yescharacteristic, complemented
102#89753C2211yescharacteristic, complemented
103#89753C2211yescharacteristic, complemented
104#89753C2211yescharacteristic, complemented
105#89753C2211yescharacteristic, complemented
106#89753C2211yescharacteristic, complemented
107#89733C2211yescharacteristic, complemented
108#89733C2211yescharacteristic, complemented
109#89733C2211yescharacteristic, complemented
110#89733C2211yescharacteristic, complemented
111#89732C2211yescharacteristic
112#89732C2211yescharacteristic
113#89731C2211yescharacteristic, complemented
114#89731C2211yescharacteristic, complemented
115#89731C2211yescharacteristic, complemented
116#89731C2211yescharacteristic, complemented
117#89729C2211yescharacteristic, complemented
118#89729C2211yescharacteristic, complemented
119#89728C2211yescharacteristic, complemented
120#89728C2211yescharacteristic, complemented
121#89727C2211yescharacteristic
122#89727C2211yescharacteristic
123#89727C2211yescharacteristic
124#89727C2211yescharacteristic
125#89727C2211yescharacteristic
126#89727C2211yescharacteristic
127#89723C2211yescharacteristic, complemented
128#89723C2211yescharacteristic, complemented
129#89722C2211yescharacteristic
130#89722C2211yescharacteristic
131#89722C2211yescharacteristic
132#89722C2211yescharacteristic
133C22⋊C4×Dic7C2211yescharacteristic
134C22⋊C4×Dic7C2211yescharacteristic
135#89711C2211yescharacteristic
136#89711C2211yescharacteristic
137#89709C2211yescharacteristic, complemented
138#89708C2211yescharacteristic, complemented
139#89449C2211yescharacteristic, complemented
140#89449C2211yescharacteristic, complemented
141#89447C2211yescharacteristic, complemented
142#89447C2211yescharacteristic, complemented
143#89447C2211yescharacteristic, complemented
144#89447C2211yescharacteristic, complemented
145#89447C2211yescharacteristic, complemented
146#89447C2211yescharacteristic, complemented
147#89446C2211yescharacteristic, complemented
148#89446C2211yescharacteristic, complemented
149#89446C2211yescharacteristic, complemented
150#89446C2211yescharacteristic, complemented
151#89445C2211yescharacteristic, complemented
152#89445C2211yescharacteristic, complemented
153#89445C2211yescharacteristic, complemented
154#89445C2211yescharacteristic, complemented
155#89442C2211yescharacteristic, complemented
156#89442C2211yescharacteristic, complemented
157#89442C2211yescharacteristic, complemented
158#89442C2211yescharacteristic, complemented
159#89441C2211yescharacteristic, complemented
160#89441C2211yescharacteristic, complemented
161#89441C2211yescharacteristic, complemented
162#89441C2211yescharacteristic, complemented
163#89440C2211yescharacteristic, complemented
164#89440C2211yescharacteristic, complemented
165#89440C2211yescharacteristic, complemented
166#89440C2211yescharacteristic, complemented
167#89440C2211yescharacteristic, complemented
168#89440C2211yescharacteristic, complemented
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89436C2211yescharacteristic, complemented
178#89436C2211yescharacteristic, complemented
179#89429C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89428C2211yescharacteristic, complemented
182#89428C2211yescharacteristic, complemented
183#89419C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36793—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×Q8C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C22×D28—24no—
203C22×D28—42no—
204C22×D28—42no—
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×D28C2311yescharacteristic
209C22×C4×D7—42no—
210C22×C4×D7—42no—
211C22×C4×D7—42no—
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C22×Dic14C2311yescharacteristic
218C7×C22⋊Q8—24no—
219C4×C7×D4—24no—
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×C4⋊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×C7×C22⋊C4C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245#6510—42no—
246#6510—42no—
247#6500—42no—
248#6500—42no—
249#6493—42no—
250#6493—42no—
251C2×(C2×D7)⋊C4—42no—
252C2×(C2×D7)⋊C4—42no—
253C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306#6487—42no—
307#6487—42no—
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322#6461—42no—
323#6461—42no—
324#6460—42no—
325#6460—42no—
326#6448—42no—
327#6448—42no—
328#6446—42no—
329#6446—42no—
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#2849—71no—
371#2848—71no—
372#2796—71no—
373#2761—71no—
374#2757—71no—
375#2751—71no—
376#2737—71no—
377#2730—71no—
378#2723—71no—
379#2715—71no—
380#2712—71no—
381#2710—71no—
382#2705—71no—
383#2701—71no—
384#2700—71no—
385#2691—71no—
386#2686—71no—
387#2672—71no—
388#2626—71no—
389#2622—71no—
390#2564D711yescharacteristic, complemented
391#2549—71no—
392#2480—71no—
393#2480—71no—
394#2472—71no—
395#2472—71no—
396#2435—71no—
397#2408—71no—
398#2329—71no—
399#2318—71no—
400C2×#386—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—22no—
407C23×D7—22no—
408C23×D7—22no—
409C23×D7—22no—
410C23×D7—22no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×Q8—22no—
422C2×C7×Q8—41no—
423C2×C7×Q8—41no—
424C2×C7×D4—22no—
425C2×C7×D4—22no—
426C2×C7×D4—22no—
427C22×C4×C7—22no—
428C22×C4×C7—22no—
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
437C22×C4×C7—41no—
438C22×C4×C7#4114yes—
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C22×Dic7—22no—
465C22×Dic7—22no—
466C22×Dic7—41no—
467C22×Dic7—41no—
468C22×Dic7—41no—
469C22×Dic7—41no—
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C2×D28—22no—
483C2×D28—22no—
484C2×D28—22no—
485C2×D28—22no—
486C2×D28—22no—
487C2×D28—22no—
488C2×D28—22no—
489C2×D28—22no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28—41no—
493C2×D28—41no—
494C2×D28—416no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—416no—
508C2×Dic14—22no—
509C2×Dic14—41no—
510C2×Dic14—41no—
511C2×Dic14—41no—
512C2×Dic14—41no—
513C2×Dic14—41no—
514C7×C4⋊C4—22no—
515C7×C4⋊C4—22no—
516C7×C4⋊C4—22no—
517C7×C4⋊C4—22no—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—41no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C42×C7—22no—
531C22⋊Dic7—22no—
532C22⋊Dic7—22no—
533C22⋊Dic7—22no—
534C22⋊Dic7—22no—
535C22⋊Dic7—41no—
536C22⋊Dic7—41no—
537C22⋊Dic7—41no—
538C22⋊Dic7—41no—
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—22no—
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—
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—
579C4⋊Dic7—41no—
580C4⋊Dic7—41no—
581C4⋊Dic7—41no—
582C4⋊Dic7—41no—
583C4⋊Dic7—41no—
584C4⋊Dic7—41no—
585C4⋊Dic7—41no—
586C4⋊Dic7—41no—
587C4⋊Dic7—41no—
588C4⋊Dic7—41no—
589C4⋊Dic7—41no—
590C4⋊Dic7—41no—
591Dic7⋊C4—22no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598Dic7⋊C4—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C23×D4—71no—
606C24×C4—71no—
607C2×#126—71no—
608C2×#126—71no—
609C2×#124—71no—
610C2×#124—71no—
611C2×#124—71no—
612C2×#124—71no—
613C2×#123—71no—
614C2×#123—71no—
615C2×C22⋊Q8—71no—
616C2×C22⋊Q8—71no—
617C2×C22⋊Q8—71no—
618C2×C22⋊Q8—71no—
619C2×C22⋊Q8C2×D711yescharacteristic
620C2×#121—71no—
621C2×#121—71no—
622C2×#120—71no—
623C2×#120—71no—
624C2×C4×D4C2×D711yescharacteristic
625C22×C22⋊C4—71no—
626C22×C22⋊C4—71no—
627C22×C22⋊C4—71no—
628#400C2×D711yescharacteristic, complemented
629#399—71no—
630#399—71no—
631#399C2×D711yescharacteristic, complemented
632#398—71no—
633#398—71no—
634#397—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#397—71no—
646#396—71no—
647#396—71no—
648#396—71no—
649#396—71no—
650#396—71no—
651#396—71no—
652#395—71no—
653#395—71no—
654#395C2×D711yescharacteristic, complemented
655#394—71no—
656#394—71no—
657#394—71no—
658#394—71no—
659#394—71no—
660#394—71no—
661#394—71no—
662#394—71no—
663#394—71no—
664#394—71no—
665#394—71no—
666#394—71no—
667#394—71no—
668#394—71no—
669#393—71no—
670#393—71no—
671#393—71no—
672#393—71no—
673#393C2×D711yescharacteristic, complemented
674#392—71no—
675#392—71no—
676#391—71no—
677#391—71no—
678#391—71no—
679#391—71no—
680#390—71no—
681#390—71no—
682#390—71no—
683#390—71no—
684#390—71no—
685#390—71no—
686#389—71no—
687#389—71no—
688#389—71no—
689#389—71no—
690#388—71no—
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388—71no—
698#388—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#387—71no—
703#387—71no—
704#387—71no—
705#387—71no—
706#387—71no—
707#387—71no—
708#387C2×D711yescharacteristic, complemented
709#387C2×D711yescharacteristic, complemented
710#386—71no—
711#386—71no—
712#386—71no—
713#386—71no—
714#386—71no—
715#386—71no—
716#386—71no—
717#386—71no—
718#386—71no—
719#386—71no—
720#386—71no—
721#386—71no—
722#386C2×D711yescharacteristic
723#386C2×D711yescharacteristic
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#385—71no—
733#385—71no—
734#385—71no—
735#385—71no—
736#385C2×D711yescharacteristic, complemented
737#385C2×D711yescharacteristic, complemented
738#383—71no—
739#382—71no—
740#381—71no—
741#381—71no—
742#381—71no—
743#380—71no—
744#380—71no—
745#380—71no—
746#380—71no—
747#380C2×D711yescharacteristic
748#380C2×D711yescharacteristic
749#379—71no—
750#379—71no—
751#379—71no—
752#379—71no—
753#379—71no—
754#379—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4—71no—
758C2×#95—71no—
759C2×#95C2×D711yescharacteristic
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×C7H(5,𝔽2)12yes—
773C23×C72−1+412yes—
774C23×C7C2511yescharacteristic
775C22×D7—28no—
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—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7—44no—
807C22×D7—44no—
808C22×D7—44no—
809C22×D7—44no—
810C22×D7—44no—
811C22×D7—82no—
812C22×D7—82no—
813C22×D7—82no—
814C22×D7—82no—
815C22×D7H(5,𝔽2)12yes—
816C22×D7H(5,𝔽2)12yes—
817C7×Q8—82no—
818C7×D4—44no—
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—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—44no—
856C2×C4×C7—44no—
857C2×C4×C7—82no—
858C2×C4×C7—82no—
859C2×C4×C7C2×#4112yes—
860C2×C4×C7C2×#4112yes—
861C2×C4×C7H(5,𝔽2)12yes—
862C22⋊D7—82no—
863C22⋊D7—82no—
864C22⋊D7—82no—
865C22⋊D7—82no—
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—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—44no—
903C2×Dic7—82no—
904D28—44no—
905D28—44no—
906D28—44no—
907D28—44no—
908C4×D7—44no—
909C4×D7—44no—
910C4×D7—44no—
911C4×D7—44no—
912Dic14—82no—
913Dic14—82no—
914C25—71no—
915C25—71no—
916C22×Q8—71no—
917C22×Q8—71no—
918C22×Q8C22×D711yescharacteristic
919C22×D4—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
927C22×D4—144no—
928C22×D4—282no—
929C22×D4—282no—
930C22×D4C22×D711yescharacteristic
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—282no—
938C23×C4—282no—
939C23×C4—282no—
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942C23×C4C22×D711yescharacteristic
943C23×C4C22×D711yescharacteristic
944#126—282no—
945#126—282no—
946#124—282no—
947#124—282no—
948#124—282no—
949#124—282no—
950#123—282no—
951#123—282no—
952C22⋊Q8—24no—
953C22⋊Q8—282no—
954C22⋊Q8—282no—
955C22⋊Q8—282no—
956C22⋊Q8—282no—
957#121—282no—
958#121—282no—
959#120—282no—
960#120—282no—
961C4×D4—24no—
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⋊C4—71no—
981C2×C4⋊C4—71no—
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×C4⋊C4C22×D711yescharacteristic
989C2×C4⋊C4C22×D711yescharacteristic
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⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—282no—
1039C2×C22⋊C4—282no—
1040C2×C22⋊C4—282no—
1041C2×C22⋊C4C22×D711yescharacteristic
1042C2×C22⋊C4C22×D711yescharacteristic
1043C2×C22⋊C4C22×D711yescharacteristic
1044C2×C22⋊C4C22×D711yescharacteristic
1045C2×C22⋊C4C22×D711yescharacteristic
1046C2×C22⋊C4C22×D711yescharacteristic
1047C2×C22⋊C4C22×D711yescharacteristic
1048C2×C22⋊C4C22×D711yescharacteristic
1049C2×C42—71no—
1050C2×C42—71no—
1051C2×C42—71no—
1052C2×C42—71no—
1053C2×C42—71no—
1054C2×C42—71no—
1055C2×C42C22×D711yescharacteristic
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#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
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
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096C22×C7—22no—
1097C22×C7—22no—
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7#54214yes—
1110C22×C7C22×#4111yescharacteristic
1111C22×C7C2×H(5,𝔽2)11yescharacteristic
1112C22×C7C2×H(5,𝔽2)11yescharacteristic
1113C22×C7C2×H(5,𝔽2)11yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7C2×2−1+411yescharacteristic
1116C22×C7#58511yescharacteristic
1117C2×D7—22no—
1118C2×D7—22no—
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—416no—
1124C2×D7—41no—
1125C2×D7—41no—
1126C2×D7—41no—
1127C2×D7—41no—
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—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—88no—
1147C4×C7—22no—
1148C4×C7—22no—
1149C4×C7—22no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154C4×C7—41no—
1155C4×C7—41no—
1156C4×C7—41no—
1157C4×C7—41no—
1158C4×C7—41no—
1159C4×C7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169Dic7—41no—
1170Dic7—41no—
1171Dic7—41no—
1172C24—71no—
1173C24—71no—
1174C24—71no—
1175C24—71no—
1176C24—142no—
1177C24—142no—
1178C24—142no—
1179C24—142no—
1180C24—142no—
1181C24—142no—
1182C24—142no—
1183C24—142no—
1184C24—281no—
1185C24—281no—
1186C24—281no—
1187C24—281no—
1188C24—281no—
1189C24—281no—
1190C24C23×D711yescharacteristic
1191C24C23×D711yescharacteristic
1192C2×Q8—22no—
1193C2×Q8—41no—
1194C2×Q8—41no—
1195C2×Q8—142no—
1196C2×Q8—281no—
1197C2×Q8—281no—
1198C2×Q8—281no—
1199C2×Q8—281no—
1200C2×Q8—281no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—142no—
1205C2×D4—142no—
1206C2×D4—142no—
1207C2×D4—142no—
1208C2×D4—142no—
1209C2×D4—142no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C2×D4—281no—
1218C2×D4—2816no—
1219C2×D4—281no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—281no—
1225C2×D4—281no—
1226C2×D4—281no—
1227C2×D4—281no—
1228C2×D4—281no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—71no—
1241C22×C4—71no—
1242C22×C4—71no—
1243C22×C4—71no—
1244C22×C4—71no—
1245C22×C4—71no—
1246C22×C4—71no—
1247C22×C4—71no—
1248C22×C4—71no—
1249C22×C4—71no—
1250C22×C4—71no—
1251C22×C4—71no—
1252C22×C4—142no—
1253C22×C4—142no—
1254C22×C4—142no—
1255C22×C4—142no—
1256C22×C4—142no—
1257C22×C4—142no—
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—2816no—
1267C22×C4—281no—
1268C22×C4—281no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4#115914yes—
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—142no—
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—
1305C4⋊C4—281no—
1306C4⋊C4—281no—
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—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—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
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—
1353C22⋊C4—281no—
1354C22⋊C4—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4—281no—
1364C22⋊C4—281no—
1365C22⋊C4—281no—
1366C22⋊C4—281no—
1367C22⋊C4—281no—
1368C22⋊C4—281no—
1369C42—22no—
1370C42—281no—
1371C42—281no—
1372C42—281no—
1373C42—281no—
1374C42—281no—
1375C42—281no—
1376C2×C7—24no—
1377C2×C7—81no—
1378C2×C7C2×#54211yescharacteristic
1379C2×C7#349011yescharacteristic
1380C2×C7#350611yescharacteristic
1381C2×C7#353211yescharacteristic
1382C2×C7#353411yescharacteristic
1383C2×C7#353511yescharacteristic
1384C2×C7#353611yescharacteristic
1385D7—42no—
1386D7—42no—
1387D7—81no—
1388D7—81no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—72no—
1401C23—72no—
1402C23—148no—
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—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—284no—
1430C23—284no—
1431C23—284no—
1432C23—284no—
1433C23—284no—
1434C23—284no—
1435C23—284no—
1436C23—284no—
1437C23—284no—
1438C23—562no—
1439C23—562no—
1440C23—562no—
1441C23—562no—
1442C23C2×#115912yes—
1443C23#655112yes—
1444C23#655312yes—
1445C23C24×D711yescharacteristic
1446Q8—82no—
1447Q8—562no—
1448Q8—562no—
1449D4—44no—
1450D4—284no—
1451D4—284no—
1452D4—284no—
1453D4—284no—
1454D4—562no—
1455D4—562no—
1456D4—562no—
1457D4—562no—
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—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—82no—
1497C2×C4—82no—
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—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—284no—
1535C2×C4—284no—
1536C2×C4—284no—
1537C2×C4—284no—
1538C2×C4—284no—
1539C2×C4—562no—
1540C2×C4C2×#115912yes—
1541C2×C4C2×#115912yes—
1542C2×C4#655312yes—
1543C7#3679311yescharacteristic, complemented, Sylow
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—142no—
1558C22—142no—
1559C22—142no—
1560C22—142no—
1561C22—142no—
1562C22—142no—
1563C22—2816no—
1564C22—281no—
1565C22—281no—
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—
1582C22—281no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—568no—
1587C22#9033414yes—
1588C22C22×#115911yescharacteristic
1589C22C2×#655111yescharacteristic
1590C22C2×#655311yescharacteristic
1591C22C2×#655311yescharacteristic
1592C22#9061611yescharacteristic
1593C22D7×H(5,𝔽2)11yescharacteristic
1594C22D7×H(5,𝔽2)11yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—281no—
1609C4—281no—
1610C4—281no—
1611C4—281no—
1612C4—281no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C2—24no—
1621C2—81no—
1622C2—282no—
1623C2—282no—
1624C2—561no—
1625C2—561no—
1626C2C2×#9033411yescharacteristic
1627C2#1174329111yescharacteristic
1628C2#1174337711yescharacteristic
1629C2#1174386911yescharacteristic
1630C2#1174388611yescharacteristic
1631C2#1174401911yescharacteristic
1632C2#1174402011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2564C2
prime radical#11739848C2
hypercenter#2564D7
hypocenterC7#36793
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2564

Complements

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

NH ≅ G/Ntype
1. C7×#2564C2semidirect
2. #11740206C2semidirect
3. #11740190C2semidirect
5. #11739769C2semidirect
6. #11735845C2semidirect
7. #11735839C2semidirect
8. #11735518C2semidirect
9. #11735510C2semidirect
10. #11734712C2semidirect
11. #11734664C2semidirect
12. #11734325C2semidirect
13. #11734274C2semidirect
14. #11732873C2semidirect
15. #11732872C2semidirect
16. #11732846C2semidirect
17. #11732619C2semidirect
18. #11732381C2semidirect
19. #11732351C2semidirect
20. #11732173C2semidirect
21. #11732173C2semidirect
22. #11732074C2semidirect
23. #11731967C2semidirect
24. #11731960C2semidirect
25. #11731957C2semidirect
26. #11731494C2semidirect
27. #11731397C2semidirect
28. #11731354C2semidirect
29. #11731354C2semidirect
30. C2×#89437C2semidirect
31. #11730802C2semidirect
47. C2×#6461C22semidirect
48. C2×#6461C22semidirect
49. C2×#6460C22semidirect
50. C2×#6460C22semidirect
51. C2×#6448C22semidirect
52. C2×#6448C22semidirect
53. C2×#6446C22semidirect
54. C2×#6446C22semidirect
55. C7×#400C22semidirect
56. C7×#399C22semidirect
57. C7×#395C22semidirect
58. C7×#393C22semidirect
59. C7×#387C22semidirect
60. C7×#387C22semidirect
63. C7×#385C22semidirect
64. C7×#385C22semidirect
68. #90002C22semidirect
69. #90002C22semidirect
73. #89984C22semidirect
74. #89983C22semidirect
79. #89766C22semidirect
80. #89766C22semidirect
81. #89766C22semidirect
82. #89766C22semidirect
83. #89766C22semidirect
84. #89766C22semidirect
85. #89765C22semidirect
86. #89765C22semidirect
93. #89762C22semidirect
94. #89762C22semidirect
97. #89759C22semidirect
98. #89759C22semidirect
99. #89757C22semidirect
100. #89757C22semidirect
101. #89753C22semidirect
102. #89753C22semidirect
103. #89753C22semidirect
104. #89753C22semidirect
105. #89753C22semidirect
106. #89753C22semidirect
107. #89733C22semidirect
108. #89733C22semidirect
109. #89733C22semidirect
110. #89733C22semidirect
113. #89731C22semidirect
114. #89731C22semidirect
115. #89731C22semidirect
116. #89731C22semidirect
117. #89729C22semidirect
118. #89729C22semidirect
119. #89728C22semidirect
120. #89728C22semidirect
127. #89723C22semidirect
128. #89723C22semidirect
137. #89709C22semidirect
138. #89708C22semidirect
139. #89449C22semidirect
140. #89449C22semidirect
141. #89447C22semidirect
142. #89447C22semidirect
143. #89447C22semidirect
144. #89447C22semidirect
145. #89447C22semidirect
146. #89447C22semidirect
147. #89446C22semidirect
148. #89446C22semidirect
149. #89446C22semidirect
150. #89446C22semidirect
151. #89445C22semidirect
152. #89445C22semidirect
153. #89445C22semidirect
154. #89445C22semidirect
155. #89442C22semidirect
156. #89442C22semidirect
157. #89442C22semidirect
158. #89442C22semidirect
159. #89441C22semidirect
160. #89441C22semidirect
161. #89441C22semidirect
162. #89441C22semidirect
163. #89440C22semidirect
164. #89440C22semidirect
165. #89440C22semidirect
166. #89440C22semidirect
167. #89440C22semidirect
168. #89440C22semidirect
177. #89436C22semidirect
178. #89436C22semidirect
179. #89429C22semidirect
180. #89429C22semidirect
181. #89428C22semidirect
182. #89428C22semidirect
183. #89419C22semidirect
184. #89419C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
390. #2564D7semidirect
628. #400C2×D7semidirect
631. #399C2×D7semidirect
654. #395C2×D7semidirect
673. #393C2×D7semidirect
708. #387C2×D7semidirect
709. #387C2×D7semidirect
736. #385C2×D7semidirect
737. #385C2×D7semidirect
1543. C7#36793semidirect

Maximal subgroups

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

subgroupindex
C7×#25642
#117402062
#117401902
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