Finite Group Databasebeta

← #14216889

Subgroups — #14216889

Order 1792.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2598C211yesmaximal, characteristic, complemented
2C4×#6500C211yesmaximal, characteristic, complemented
3#11739834C211yesmaximal, characteristic, complemented
4#11739689C211yesmaximal, characteristic, complemented
5#11739687C211yesmaximal, characteristic, complemented
6#11735647C211yesmaximal, characteristic, complemented
7#11735638C211yesmaximal, characteristic, complemented
8#11735489C211yesmaximal, characteristic, complemented
9#11735486C211yesmaximal, characteristic, complemented
10#11734574C211yesmaximal, characteristic, complemented
11#11734383C211yesmaximal, characteristic, complemented
12#11734216C211yesmaximal, characteristic, complemented
13#11734122C211yesmaximal, characteristic, complemented
14#11733379C211yesmaximal, characteristic, complemented
15#11733091C211yesmaximal, characteristic, complemented
16#11733084C211yesmaximal, characteristic, complemented
17#11732926C211yesmaximal, characteristic, complemented
18#11732362C211yesmaximal, characteristic, complemented
19#11732343C211yesmaximal, characteristic, complemented
20#11732203C211yesmaximal, characteristic, complemented
21#11732202C211yesmaximal, characteristic, complemented
22#11732197C211yesmaximal, characteristic, complemented
23#11732122C211yesmaximal, characteristic, complemented
24#11732120C211yesmaximal, characteristic, complemented
25#11732104C211yesmaximal, characteristic, complemented
26#11732056C211yesmaximal, characteristic, complemented
27#11731935C211yesmaximal, characteristic, complemented
28#11731843C211yesmaximal, characteristic, complemented
29#11731824C211yesmaximal, characteristic, complemented
30#11731747C211yesmaximal, characteristic, complemented
31#11731714C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C2×C7×#117C2211yescharacteristic, complemented
35C2×#6502C2211yescharacteristic
36C2×#6502C2211yescharacteristic, complemented
37C2×#6500C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×#6498C2211yescharacteristic
40C2×D4×Dic7C2211yescharacteristic
41C2×#6493C2211yescharacteristic
42C2×#6492C2211yescharacteristic
43C2×#6492C2211yescharacteristic, complemented
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic
46C2×#6456C2211yescharacteristic
47C2×#6456C2211yescharacteristic
48C2×#6450C2211yescharacteristic, complemented
49C2×#6448C2211yescharacteristic
50C2×#6448C2211yescharacteristic
51C2×#6446C2211yescharacteristic, complemented
52C2×#6445C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic
54C2×(C22⋊D7)⋊C4C2211yescharacteristic
55C2×(C22⋊D7)⋊C4C2211yescharacteristic
56C2×#6440C2211yescharacteristic, complemented
57C7×#400C2211yescharacteristic, complemented
58C7×#399C2211yescharacteristic, complemented
59C7×#394C2211yescharacteristic
60C7×#392C2211yescharacteristic
61C7×#388C2211yescharacteristic
62C7×#388C2211yescharacteristic, complemented
63C7×#386C2211yescharacteristic
64C7×#386C2211yescharacteristic
65C7×#386C2211yescharacteristic, complemented
66C7×#386C2211yescharacteristic, complemented
67C7×#385C2211yescharacteristic
68C7×#385C2211yescharacteristic, complemented
69C7×#383C2211yescharacteristic, complemented
70#89995C2211yescharacteristic
71#89995C2211yescharacteristic
72#89995C2211yescharacteristic
73#89994C2211yescharacteristic
74#89993C2211yescharacteristic, complemented
75#89992C2211yescharacteristic
76#89985C2211yescharacteristic
77#89982C2211yescharacteristic
78C4×C22⋊Dic7C2211yescharacteristic
79C4×C22⋊Dic7C2211yescharacteristic, complemented
80C4×C22⋊Dic7C2211yescharacteristic, complemented
81C2×C7⋊#95C2211yescharacteristic, complemented
82#89764C2211yescharacteristic
83#89762C2211yescharacteristic
84#89762C2211yescharacteristic
85#89762C2211yescharacteristic, complemented
86#89761C2211yescharacteristic
87#89761C2211yescharacteristic
88#89761C2211yescharacteristic
89#89761C2211yescharacteristic
90#89761C2211yescharacteristic, complemented
91#89760C2211yescharacteristic
92#89754C2211yescharacteristic, complemented
93#89750C2211yescharacteristic, complemented
94C4⋊C4×Dic7C2211yescharacteristic, complemented
95#89745C2211yescharacteristic, complemented
96#89744C2211yescharacteristic, complemented
97#89744C2211yescharacteristic, complemented
98#89744C2211yescharacteristic, complemented
99#89732C2211yescharacteristic
100#89732C2211yescharacteristic
101#89732C2211yescharacteristic
102#89731C2211yescharacteristic
103#89731C2211yescharacteristic, complemented
104#89730C2211yescharacteristic
105#89730C2211yescharacteristic, complemented
106#89729C2211yescharacteristic
107#89729C2211yescharacteristic
108#89729C2211yescharacteristic
109#89729C2211yescharacteristic
110#89729C2211yescharacteristic
111#89729C2211yescharacteristic, complemented
112#89728C2211yescharacteristic
113#89728C2211yescharacteristic
114#89728C2211yescharacteristic
115#89728C2211yescharacteristic
116#89728C2211yescharacteristic, complemented
117#89727C2211yescharacteristic
118#89727C2211yescharacteristic
119#89727C2211yescharacteristic
120#89724C2211yescharacteristic
121#89724C2211yescharacteristic, complemented
122#89723C2211yescharacteristic, complemented
123#89720C2211yescharacteristic
124#89720C2211yescharacteristic
125#89719C2211yescharacteristic, complemented
126#89718C2211yescharacteristic
127#89718C2211yescharacteristic, complemented
128#89718C2211yescharacteristic, complemented
129#89717C2211yescharacteristic
130#89717C2211yescharacteristic, complemented
131#89717C2211yescharacteristic, complemented
132#89717C2211yescharacteristic, complemented
133#89716C2211yescharacteristic
134#89716C2211yescharacteristic
135#89716C2211yescharacteristic, complemented
136C22⋊C4×Dic7C2211yescharacteristic
137C22⋊C4×Dic7C2211yescharacteristic
138C22⋊C4×Dic7C2211yescharacteristic, complemented
139#89712C2211yescharacteristic
140#89712C2211yescharacteristic
141#89712C2211yescharacteristic, complemented
142C4×(C2×D7)⋊C4C2211yescharacteristic
143C4×(C2×D7)⋊C4C2211yescharacteristic
144C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
145#89705C2211yescharacteristic, complemented
146C4×Dic7⋊C4C2211yescharacteristic, complemented
147#89448C2211yescharacteristic
148#89448C2211yescharacteristic
149#89447C2211yescharacteristic
150#89447C2211yescharacteristic
151#89447C2211yescharacteristic
152#89447C2211yescharacteristic, complemented
153#89446C2211yescharacteristic
154#89445C2211yescharacteristic
155#89444C2211yescharacteristic
156#89444C2211yescharacteristic
157#89444C2211yescharacteristic
158#89442C2211yescharacteristic
159#89442C2211yescharacteristic
160#89442C2211yescharacteristic, complemented
161#89441C2211yescharacteristic, complemented
162#89441C2211yescharacteristic, complemented
163#89441C2211yescharacteristic, complemented
164#89440C2211yescharacteristic
165#89440C2211yescharacteristic
166#89438C2211yescharacteristic
167#89438C2211yescharacteristic
168#89438C2211yescharacteristic
169#89438C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89429C2211yescharacteristic, complemented
173#89427C2211yescharacteristic, complemented
174#89425C2211yescharacteristic, complemented
175#89425C2211yescharacteristic, complemented
176#89424C2211yescharacteristic, complemented
177#89424C2211yescharacteristic, complemented
178#89424C2211yescharacteristic, complemented
179#89423C2211yescharacteristic, complemented
180#89422C2211yescharacteristic, complemented
181#89421C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89419C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#60033—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×C4×D7—42no—
208C22×C4×D7—42no—
209C22×C4×D7—42no—
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C4×C7×D4—42no—
217C7×#117—42no—
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊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×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
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250#6502—24no—
251#6502—42no—
252#6500—24no—
253#6500—24no—
254#6498—24no—
255D4×Dic7—42no—
256#6493—24no—
257#6492—24no—
258#6492—42no—
259C4×C22⋊D7—42no—
260C4×C22⋊D7—42no—
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×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321#6456—42no—
322#6456—42no—
323#6450—42no—
324#6448—24no—
325#6448—24no—
326#6446—42no—
327#6445—24no—
328(C22⋊D7)⋊C4—42no—
329(C22⋊D7)⋊C4—42no—
330(C22⋊D7)⋊C4—42no—
331#6440—42no—
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#2735—71no—
371#2678—71no—
372#2678—71no—
373#2670—71no—
374#2602—71no—
375#2602—71no—
376#2598—71no—
377#2598D711yescharacteristic, complemented
378#2597—71no—
379#2597—71no—
380#2587—71no—
381#2587—71no—
382#2580—71no—
383#2557—71no—
384#2557—71no—
385#2543—71no—
386#2523—71no—
387#2518—71no—
388#2518—71no—
389#2456—71no—
390#2456—71no—
391#2455—71no—
392#2367—71no—
393#2367—71no—
394#2363—71no—
395#2363—71no—
396#2359—71no—
397#2359—71no—
398C4×#120—71no—
399C4×#120—71no—
400C4×#120—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C24×C7C2411yescharacteristic
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—22no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7—41no—
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C2×C7×D4—22no—
415C2×C7×D4—22no—
416C2×C7×D4—22no—
417C2×C7×D4—22no—
418C2×C7×D4—41no—
419C2×C7×D4—41no—
420C2×C7×D4—41no—
421C2×C7×D4—41no—
422C2×C7×D4—41no—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7—41no—
431C22×C4×C7—41no—
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
443C22×C4×C7C2411yescharacteristic
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7#4114yes—
465C22×Dic7—22no—
466C22×Dic7—22no—
467C22×Dic7—22no—
468C22×Dic7—22no—
469C22×Dic7—22no—
470C22×Dic7—41no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C2×D28—22no—
488C2×D28—22no—
489C2×D28—22no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28—41no—
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—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—416no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×Dic14—22no—
510C2×Dic14—22no—
511C2×Dic14—41no—
512C7×C4⋊C4—22no—
513C7×C4⋊C4—41no—
514C7×C4⋊C4—41no—
515C7×C4⋊C4—41no—
516C7×C4⋊C4—41no—
517C7×C22⋊C4—22no—
518C7×C22⋊C4—22no—
519C7×C22⋊C4—22no—
520C7×C22⋊C4—22no—
521C7×C22⋊C4—41no—
522C7×C22⋊C4—41no—
523C7×C22⋊C4—41no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C42×C7—22no—
530C42×C7—41no—
531C22⋊Dic7—22no—
532C22⋊Dic7—22no—
533C22⋊Dic7—22no—
534C22⋊Dic7—22no—
535C22⋊Dic7—22no—
536C22⋊Dic7—22no—
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—41no—
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543C22⋊Dic7#4114yes—
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—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—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#4114yes—
571C4⋊Dic7—22no—
572C4⋊Dic7—22no—
573C4⋊Dic7—41no—
574Dic7⋊C4—22no—
575Dic7⋊C4—22no—
576Dic7⋊C4—22no—
577Dic7⋊C4—22no—
578Dic7⋊C4—22no—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—41no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591C4×Dic7—22no—
592C4×Dic7—22no—
593C4×Dic7—22no—
594C4×Dic7—22no—
595C4×Dic7—41no—
596C4×Dic7—41no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C24×C4—71no—
605C2×#124—71no—
606C2×#124—71no—
607C2×#123—71no—
608C2×#123—71no—
609C2×#123—71no—
610C2×#123—71no—
611C2×#121—71no—
612C2×#121—71no—
613C2×#121—71no—
614C2×#120—71no—
615C2×#120—71no—
616C2×#120—71no—
617C2×C4×Q8—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×D4C2×D711yescharacteristic
627C2×#117—71no—
628C2×#117C2×D711yescharacteristic, complemented
629#400—71no—
630#400C2×D711yescharacteristic, complemented
631#399—71no—
632#399C2×D711yescharacteristic, complemented
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#396—71no—
642#396—71no—
643#396—71no—
644#396—71no—
645#394—71no—
646#394—71no—
647#394—71no—
648#394—71no—
649#394—71no—
650#394—71no—
651#394C2×D711yescharacteristic
652#393—71no—
653#393—71no—
654#392—71no—
655#392—71no—
656#392—71no—
657#392—71no—
658#392—71no—
659#392—71no—
660#392C2×D711yescharacteristic
661#391—71no—
662#391—71no—
663#390—71no—
664#390—71no—
665#390—71no—
666#390—71no—
667#390—71no—
668#390—71no—
669#390—71no—
670#390—71no—
671#389—71no—
672#389—71no—
673#389—71no—
674#389—71no—
675#389—71no—
676#389—71no—
677#388—71no—
678#388—71no—
679#388—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388—71no—
687#388—71no—
688#388—71no—
689#388—71no—
690#388—71no—
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388C2×D711yescharacteristic
698#388C2×D711yescharacteristic, complemented
699#387—71no—
700#387—71no—
701#387—71no—
702#387—71no—
703#387—71no—
704#387—71no—
705#387—71no—
706#387—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#386—71no—
717#386—71no—
718#386C2×D711yescharacteristic
719#386C2×D711yescharacteristic
720#386C2×D711yescharacteristic, complemented
721#386C2×D711yescharacteristic, complemented
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#385—71no—
733#385C2×D711yescharacteristic
734#385C2×D711yescharacteristic, complemented
735#383—71no—
736#383C2×D711yescharacteristic, complemented
737#382—71no—
738#379—71no—
739#379—71no—
740#379—71no—
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊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⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4—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×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7C2×#4112yes—
779C23×C7C2×#4112yes—
780C23×C7C2511yescharacteristic
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—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7—44no—
807C22×D7C2×#4112yes—
808C22×D7C2×#4112yes—
809C7×D4—44no—
810C7×D4—44no—
811C7×D4—82no—
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—44no—
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—82no—
857C22⋊D7—82no—
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—21no—
890C2×Dic7—21no—
891C2×Dic7—44no—
892C2×Dic7—44no—
893C2×Dic7—82no—
894C2×Dic7C2×#4112yes—
895C2×Dic7C2×#4112yes—
896C2×Dic7C2×#4112yes—
897C2×Dic7C2×#4112yes—
898C2×Dic7H(5,𝔽2)12yes—
899C2×Dic7H(5,𝔽2)12yes—
900D28—44no—
901D28—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—44no—
905C4×D7—44no—
906C4×D7—82no—
907Dic14—44no—
908C25—71no—
909C22×Q8—71no—
910C22×D4—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4—71no—
919C22×D4C22×D711yescharacteristic
920C22×D4C22×D711yescharacteristic
921C22×D4C22×D711yescharacteristic
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—282no—
931C23×C4—282no—
932C23×C4—282no—
933C23×C4C22×D711yescharacteristic
934C23×C4C22×D711yescharacteristic
935C23×C4C22×D711yescharacteristic
936#124—144no—
937#124—144no—
938#123—144no—
939#123—144no—
940#123—282no—
941#123—282no—
942#121—144no—
943#121—144no—
944#121—282no—
945#120—144no—
946#120—144no—
947#120—144no—
948C4×Q8—282no—
949C4×D4—42no—
950C4×D4—282no—
951C4×D4—282no—
952C4×D4—282no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958#117—42no—
959#117—282no—
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×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
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⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C22⋊C4C22×D711yescharacteristic
1030C2×C22⋊C4C22×D711yescharacteristic
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—71no—
1048C2×C42—71no—
1049C2×C42—71no—
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
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
1090C22×C7—22no—
1091C22×C7—22no—
1092C22×C7—22no—
1093C22×C7—22no—
1094C22×C7—22no—
1095C22×C7—22no—
1096C22×C7—41no—
1097C22×C7—41no—
1098C22×C7—41no—
1099C22×C7—41no—
1100C22×C7—41no—
1101C22×C7—41no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7C22×#4111yescharacteristic
1112C22×C7C22×#4111yescharacteristic
1113C22×C7C22×#4111yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7C2×H(5,𝔽2)11yescharacteristic
1116C22×C7C2×H(5,𝔽2)11yescharacteristic
1117C22×C7#58511yescharacteristic
1118C2×D7—22no—
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—416no—
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—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—41no—
1143C4×C7—41no—
1144C4×C7—41no—
1145C4×C7—41no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152Dic7—22no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165C24—71no—
1166C24—71no—
1167C24—71no—
1168C24—142no—
1169C24—142no—
1170C24—142no—
1171C24—281no—
1172C24—281no—
1173C24—281no—
1174C24—281no—
1175C24C23×D711yescharacteristic
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C2×Q8—142no—
1179C2×Q8—142no—
1180C2×Q8—281no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
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—281no—
1204C2×D4—281no—
1205C2×D4—281no—
1206C2×D4—281no—
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—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—71no—
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—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—2816no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—142no—
1282C4⋊C4—142no—
1283C4⋊C4—142no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
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—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—74no—
1314C22⋊C4—74no—
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—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—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—22no—
1354C42—41no—
1355C42—142no—
1356C42—142no—
1357C42—142no—
1358C42—142no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42—281no—
1368C2×C7—42no—
1369C2×C7—42no—
1370C2×C7—81no—
1371C2×C7#348111yescharacteristic
1372C2×C7#348111yescharacteristic
1373C2×C7#348111yescharacteristic
1374C2×C7#350511yescharacteristic
1375C2×C7#350611yescharacteristic
1376C2×C7#350611yescharacteristic
1377C2×C7#353211yescharacteristic
1378D7—42no—
1379D7—42no—
1380D7—81no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
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—21no—
1398C23—21no—
1399C23—21no—
1400C23—72no—
1401C23—72no—
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—284no—
1422C23—284no—
1423C23—284no—
1424C23—284no—
1425C23—284no—
1426C23—284no—
1427C23—284no—
1428C23D7×#4112yes—
1429C23D7×#4112yes—
1430C23C24×D711yescharacteristic
1431Q8—284no—
1432D4—44no—
1433D4—44no—
1434D4—82no—
1435D4—284no—
1436D4—284no—
1437D4—284no—
1438D4—284no—
1439D4—284no—
1440D4—284no—
1441D4—284no—
1442D4—562no—
1443D4—562no—
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—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—44no—
1479C2×C4—44no—
1480C2×C4—72no—
1481C2×C4—72no—
1482C2×C4—72no—
1483C2×C4—72no—
1484C2×C4—72no—
1485C2×C4—72no—
1486C2×C4—82no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—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—284no—
1521C2×C4—284no—
1522C2×C4—284no—
1523C2×C4—284no—
1524C2×C4—284no—
1525C2×C4—284no—
1526C2×C4—562no—
1527C2×C4—562no—
1528C2×C4#654812yes—
1529C2×C4D7×#4112yes—
1530C7#6003311yescharacteristic, complemented, Sylow
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—142no—
1553C22—142no—
1554C22—142no—
1555C22—142no—
1556C22—142no—
1557C22—142no—
1558C22—2816no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22C2×#654811yescharacteristic
1575C22C2×D7×#4111yescharacteristic
1576C22C2×D7×#4111yescharacteristic
1577C22C2×D7×#4111yescharacteristic
1578C22#9061611yescharacteristic
1579C22D7×H(5,𝔽2)11yescharacteristic
1580C22D7×H(5,𝔽2)11yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—142no—
1594C4—142no—
1595C4—142no—
1596C4—142no—
1597C4—142no—
1598C4—142no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C2—42no—
1607C2—42no—
1608C2—81no—
1609C2—282no—
1610C2—282no—
1611C2—561no—
1612C2#1174309711yescharacteristic
1613C2#1174310611yescharacteristic
1614C2#1174340111yescharacteristic
1615C2#1174385911yescharacteristic
1616C2#1174388511yescharacteristic
1617C2#1174394411yescharacteristic
1618C2#1174398111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2598C2
hypercenter#2598D7
hypocenterC7#60033
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2598

Complements

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

NH ≅ G/Ntype
1. C7×#2598C2semidirect
2. C4×#6500C2semidirect
3. #11739834C2semidirect
4. #11739689C2semidirect
5. #11739687C2semidirect
6. #11735647C2semidirect
7. #11735638C2semidirect
8. #11735489C2semidirect
9. #11735486C2semidirect
10. #11734574C2semidirect
11. #11734383C2semidirect
12. #11734216C2semidirect
13. #11734122C2semidirect
14. #11733379C2semidirect
15. #11733091C2semidirect
16. #11733084C2semidirect
17. #11732926C2semidirect
18. #11732362C2semidirect
19. #11732343C2semidirect
20. #11732203C2semidirect
21. #11732202C2semidirect
22. #11732197C2semidirect
23. #11732122C2semidirect
24. #11732120C2semidirect
25. #11732104C2semidirect
26. #11732056C2semidirect
27. #11731935C2semidirect
28. #11731843C2semidirect
29. #11731824C2semidirect
30. #11731747C2semidirect
31. #11731714C2semidirect
34. C2×C7×#117C22semidirect
36. C2×#6502C22semidirect
43. C2×#6492C22semidirect
48. C2×#6450C22semidirect
51. C2×#6446C22semidirect
56. C2×#6440C22semidirect
57. C7×#400C22semidirect
58. C7×#399C22semidirect
62. C7×#388C22semidirect
65. C7×#386C22semidirect
66. C7×#386C22semidirect
68. C7×#385C22semidirect
69. C7×#383C22semidirect
74. #89993C22semidirect
79. C4×C22⋊Dic7C22semidirect
80. C4×C22⋊Dic7C22semidirect
81. C2×C7⋊#95C22semidirect
85. #89762C22semidirect
90. #89761C22semidirect
92. #89754C22semidirect
93. #89750C22semidirect
94. C4⋊C4×Dic7C22semidirect
95. #89745C22semidirect
96. #89744C22semidirect
97. #89744C22semidirect
98. #89744C22semidirect
103. #89731C22semidirect
105. #89730C22semidirect
111. #89729C22semidirect
116. #89728C22semidirect
121. #89724C22semidirect
122. #89723C22semidirect
125. #89719C22semidirect
127. #89718C22semidirect
128. #89718C22semidirect
130. #89717C22semidirect
131. #89717C22semidirect
132. #89717C22semidirect
135. #89716C22semidirect
138. C22⋊C4×Dic7C22semidirect
141. #89712C22semidirect
144. C4×(C2×D7)⋊C4C22semidirect
145. #89705C22semidirect
146. C4×Dic7⋊C4C22semidirect
152. #89447C22semidirect
160. #89442C22semidirect
161. #89441C22semidirect
162. #89441C22semidirect
163. #89441C22semidirect
172. #89429C22semidirect
173. #89427C22semidirect
174. #89425C22semidirect
175. #89425C22semidirect
176. #89424C22semidirect
177. #89424C22semidirect
178. #89424C22semidirect
179. #89423C22semidirect
180. #89422C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89419C22semidirect
184. #89419C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
377. #2598D7semidirect
628. C2×#117C2×D7semidirect
630. #400C2×D7semidirect
632. #399C2×D7semidirect
698. #388C2×D7semidirect
720. #386C2×D7semidirect
721. #386C2×D7semidirect
734. #385C2×D7semidirect
736. #383C2×D7semidirect
1530. C7#60033semidirect

Maximal subgroups

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

subgroupindex
C7×#25982
C4×#65002
#117398342
#117396892
#117396872
#117356472
#117356382
#117354892
#117354862
#117345742
#117343832
#117342162
#117341222
#117333792
#117330912
#117330842
#117329262
#117323622
#117323432
#117322032
#117322022
#117321972
#117321222
#117321202
#117321042
#117320562
#117319352
#117318432
#117318242
#117317472
#117317142
#600337