Finite Group Databasebeta

← #13562103

Subgroups — #13562103

Order 1792.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2743C211yesmaximal, characteristic, complemented
2#11735818C211yesmaximal, characteristic, complemented
3#11735816C211yesmaximal, characteristic, complemented
4#11735808C211yesmaximal, characteristic, complemented
5#11735807C211yesmaximal, characteristic, complemented
6#11735789C211yesmaximal, characteristic, complemented
7#11735735C211yesmaximal, characteristic, complemented
8#11735546C211yesmaximal, characteristic, complemented
9#11735522C211yesmaximal, characteristic, complemented
10#11734863C211yesmaximal, characteristic, complemented
11#11734793C211yesmaximal, characteristic, complemented
12#11734553C211yesmaximal, characteristic
13#11734455C211yesmaximal, characteristic, complemented
14#11733271C211yesmaximal, characteristic, complemented
15#11733121C211yesmaximal, characteristic, complemented
16#11733114C211yesmaximal, characteristic, complemented
17#11732984C211yesmaximal, characteristic, complemented
18#11732786C211yesmaximal, characteristic, complemented
19#11732595C211yesmaximal, characteristic, complemented
20D7×#386C211yesmaximal, characteristic, complemented
21#11732263C211yesmaximal, characteristic, complemented
22#11732249C211yesmaximal, characteristic, complemented
23#11732131C211yesmaximal, characteristic, complemented
24#11732100C211yesmaximal, characteristic, complemented
25#11732082C211yesmaximal, characteristic, complemented
26#11731591C211yesmaximal, characteristic, complemented
27#11731587C211yesmaximal, characteristic, complemented
28#11731571C211yesmaximal, characteristic, complemented
29#11731552C211yesmaximal, characteristic, complemented
30#11731450C211yesmaximal, characteristic, complemented
31#11731409C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×#6498C2211yescharacteristic
35C2×#6492C2211yescharacteristic, complemented
36C2×#6492C2211yescharacteristic, complemented
37C22×(C2×D7)⋊C4C2211yescharacteristic
38C2×#6460C2211yescharacteristic, complemented
39C2×#6459C2211yescharacteristic
40C2×#6459C2211yescharacteristic, complemented
41C2×#6458C2211yescharacteristic
42C2×#6457C2211yescharacteristic, complemented
43C2×#6456C2211yescharacteristic
44C2×#6449C2211yescharacteristic
45C2×#6449C2211yescharacteristic, complemented
46C2×#6447C2211yescharacteristic
47C2×#6445C2211yescharacteristic
48C2×#6445C2211yescharacteristic
49C2×D7×C22⋊C4C2211yescharacteristic
50C2×D7×C22⋊C4C2211yescharacteristic
51C2×D7×C22⋊C4C2211yescharacteristic
52C2×D7×C22⋊C4C2211yescharacteristic
53C2×#6441C2211yescharacteristic, complemented
54C2×#6439C2211yescharacteristic, complemented
55C7×#400C2211yescharacteristic, complemented
56C7×#400C2211yescharacteristic, complemented
57C7×#400C2211yescharacteristic, complemented
58C7×#399C2211yescharacteristic, complemented
59C7×#396C2211yescharacteristic, complemented
60C7×#394C2211yescharacteristic
61C7×#388C2211yescharacteristic, complemented
62C7×#388C2211yescharacteristic, complemented
63C7×#387C2211yescharacteristic, complemented
64C7×#386C2211yescharacteristic
65C7×#386C2211yescharacteristic
66C7×#385C2211yescharacteristic, complemented
67C7×#381C2211yescharacteristic, complemented
68C7×#381C2211yescharacteristic, complemented
69C7×#380C2211yescharacteristic, complemented
70#89995C2211yescharacteristic
71#89992C2211yescharacteristic
72#89985C2211yescharacteristic
73#89985C2211yescharacteristic
74#89984C2211yescharacteristic, complemented
75#89982C2211yescharacteristic, complemented
76#89766C2211yescharacteristic, complemented
77#89765C2211yescharacteristic, complemented
78#89765C2211yescharacteristic, complemented
79#89765C2211yescharacteristic, complemented
80#89763C2211yescharacteristic, complemented
81#89762C2211yescharacteristic, complemented
82#89761C2211yescharacteristic
83#89761C2211yescharacteristic
84#89761C2211yescharacteristic
85#89761C2211yescharacteristic
86#89761C2211yescharacteristic, complemented
87#89761C2211yescharacteristic, complemented
88#89761C2211yescharacteristic, complemented
89#89761C2211yescharacteristic, complemented
90#89761C2211yescharacteristic, complemented
91#89759C2211yescharacteristic
92#89759C2211yescharacteristic, complemented
93#89758C2211yescharacteristic, complemented
94#89756C2211yescharacteristic, complemented
95#89756C2211yescharacteristic, complemented
96#89752C2211yescharacteristic, complemented
97#89750C2211yescharacteristic, complemented
98#89733C2211yescharacteristic
99#89733C2211yescharacteristic
100#89733C2211yescharacteristic, complemented
101#89732C2211yescharacteristic
102#89731C2211yescharacteristic
103#89730C2211yescharacteristic
104#89730C2211yescharacteristic, complemented
105#89729C2211yescharacteristic, complemented
106#89728C2211yescharacteristic
107#89728C2211yescharacteristic
108#89728C2211yescharacteristic
109#89728C2211yescharacteristic, complemented
110#89728C2211yescharacteristic, complemented
111#89727C2211yescharacteristic
112#89727C2211yescharacteristic
113#89727C2211yescharacteristic
114#89727C2211yescharacteristic
115#89724C2211yescharacteristic, complemented
116#89723C2211yescharacteristic, complemented
117#89721C2211yescharacteristic, complemented
118#89720C2211yescharacteristic, complemented
119#89720C2211yescharacteristic, complemented
120#89719C2211yescharacteristic, complemented
121#89718C2211yescharacteristic, complemented
122#89717C2211yescharacteristic, complemented
123#89716C2211yescharacteristic, complemented
124#89715C2211yescharacteristic, complemented
125#89714C2211yescharacteristic, complemented
126#89714C2211yescharacteristic, complemented
127#89714C2211yescharacteristic, complemented
128#89711C2211yescharacteristic, complemented
129C4×(C2×D7)⋊C4C2211yescharacteristic
130#89700C2211yescharacteristic, complemented
131#89448C2211yescharacteristic, complemented
132#89447C2211yescharacteristic, complemented
133#89447C2211yescharacteristic, complemented
134#89447C2211yescharacteristic, complemented
135#89447C2211yescharacteristic, complemented
136#89446C2211yescharacteristic, complemented
137#89445C2211yescharacteristic, complemented
138#89444C2211yescharacteristic
139#89444C2211yescharacteristic
140#89444C2211yescharacteristic, complemented
141#89444C2211yescharacteristic, complemented
142#89442C2211yescharacteristic, complemented
143#89441C2211yescharacteristic, complemented
144#89441C2211yescharacteristic, complemented
145#89440C2211yescharacteristic
146#89440C2211yescharacteristic
147#89440C2211yescharacteristic
148#89440C2211yescharacteristic
149#89440C2211yescharacteristic
150#89440C2211yescharacteristic
151#89440C2211yescharacteristic, complemented
152#89440C2211yescharacteristic, complemented
153#89440C2211yescharacteristic, complemented
154#89440C2211yescharacteristic, complemented
155#89440C2211yescharacteristic, complemented
156#89440C2211yescharacteristic, complemented
157#89439C2211yescharacteristic
158#89439C2211yescharacteristic
159#89439C2211yescharacteristic, complemented
160#89439C2211yescharacteristic, complemented
161#89437C2211yescharacteristic
162#89437C2211yescharacteristic
163#89437C2211yescharacteristic
164#89437C2211yescharacteristic
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic, complemented
169#89437C2211yescharacteristic, complemented
170#89437C2211yescharacteristic, complemented
171D7×#95C2211yescharacteristic
172D7×#95C2211yescharacteristic
173C7⋊#401C2211yescharacteristic, complemented
174#89433C2211yescharacteristic, complemented
175#89432C2211yescharacteristic, complemented
176#89432C2211yescharacteristic, complemented
177#89431C2211yescharacteristic, complemented
178#89431C2211yescharacteristic, complemented
179#89430C2211yescharacteristic, complemented
180#89430C2211yescharacteristic, complemented
181#89430C2211yescharacteristic, complemented
182#89429C2211yescharacteristic, complemented
183#89429C2211yescharacteristic, complemented
184#89426C2211yescharacteristic, complemented
185#89422C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36775—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C2×D4×D7—24no—
200C2×D4×D7—42no—
201C2×D4×D7—42no—
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×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊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×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246#6498—42no—
247#6492—42no—
248#6492—42no—
249C2×(C2×D7)⋊C4—24no—
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×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309#6460—42no—
310#6459—42no—
311#6459—42no—
312#6458—42no—
313#6457—42no—
314#6456—42no—
315#6449—42no—
316#6449—42no—
317#6447—42no—
318#6445—24no—
319#6445—42no—
320D7×C22⋊C4—42no—
321D7×C22⋊C4—42no—
322D7×C22⋊C4—42no—
323D7×C22⋊C4—42no—
324#6441—42no—
325#6439—42no—
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#2849—71no—
371#2848—71no—
372#2782—71no—
373#2750—71no—
374#2746—71no—
375#2746—71no—
376#2743D711yescharacteristic, complemented
377#2728—71no—
378#2708—71no—
379#2708—71no—
380#2706—71no—
381#2696—71no—
382#2695—71no—
383#2693—71no—
384#2693—71no—
385#2691—71no—
386#2687—71no—
387#2681—71no—
388#2646—71no—
389#2643—71no—
390#2505—71no—
391#2480—71no—
392#2450—71no—
393#2437—71no—
394#2418—71no—
395#2412—71no—
396#2410—71no—
397#2405—71no—
398#2321—71no—
399#2315—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—41no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7#4114yes—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×D4—22no—
422C2×C7×D4—22no—
423C2×C7×D4—41no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C2×C22⋊D7—22no—
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C22×Dic7—22no—
456C22×Dic7—22no—
457C22×Dic7—22no—
458C22×Dic7—41no—
459C22×Dic7—41no—
460C22×Dic7—41no—
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473D4×D7—416no—
474C2×D28—22no—
475C2×D28—22no—
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—22no—
479C2×D28—22no—
480C2×D28—22no—
481C2×D28—41no—
482C2×D28—41no—
483C2×D28—41no—
484C2×D28—41no—
485C2×D28—41no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—22no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—416no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
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×Dic14—22no—
518C2×Dic14—41no—
519C2×Dic14—41no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4—41no—
524C7×C4⋊C4—41no—
525C7×C4⋊C4—41no—
526C7×C4⋊C4—41no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4—41no—
532C7×C22⋊C4—41no—
533C7×C22⋊C4—41no—
534C7×C22⋊C4—41no—
535C7×C22⋊C4—41no—
536C7×C22⋊C4—41no—
537C42×C7—41no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—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—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—
579(C2×D7)⋊C4—41no—
580C4⋊Dic7—22no—
581C4⋊Dic7—41no—
582C4⋊Dic7—41no—
583C4⋊Dic7—41no—
584C4⋊Dic7—41no—
585C4⋊Dic7—41no—
586C4⋊Dic7—41no—
587Dic7⋊C4—22no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598Dic7⋊C4—41no—
599Dic7⋊C4—41no—
600Dic7⋊C4—41no—
601Dic7⋊C4—41no—
602Dic7⋊C4—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C23×D4—71no—
606C24×C4—71no—
607C2×#126—71no—
608C2×#123—71no—
609C2×#123—71no—
610C2×#123—71no—
611C2×#123—71no—
612C2×#123—71no—
613C2×#123—71no—
614C2×C22⋊Q8—71no—
615C2×C22⋊Q8—71no—
616C2×C22⋊Q8—71no—
617C2×C22⋊Q8—71no—
618C2×#121—71no—
619C2×#121—71no—
620C2×#120—71no—
621C2×#120—71no—
622C2×C4×D4—71no—
623C22×C22⋊C4—71no—
624C22×C22⋊C4—71no—
625C22×C22⋊C4—71no—
626C22×C22⋊C4—71no—
627C22×C22⋊C4—71no—
628#401—71no—
629#400—71no—
630#400—71no—
631#400—71no—
632#400—71no—
633#400—71no—
634#400—71no—
635#400—71no—
636#400—71no—
637#400C2×D711yescharacteristic, complemented
638#400C2×D711yescharacteristic, complemented
639#400C2×D711yescharacteristic, complemented
640#399—71no—
641#399C2×D711yescharacteristic, complemented
642#398—71no—
643#398—71no—
644#398—71no—
645#398—71no—
646#398—71no—
647#398—71no—
648#397—71no—
649#397—71no—
650#397—71no—
651#397—71no—
652#397—71no—
653#397—71no—
654#397—71no—
655#397—71no—
656#397—71no—
657#396—71no—
658#396—71no—
659#396—71no—
660#396—71no—
661#396C2×D711yescharacteristic, complemented
662#394—71no—
663#394—71no—
664#394—71no—
665#394—71no—
666#394—71no—
667#394—71no—
668#394—71no—
669#394—71no—
670#394—71no—
671#394C2×D711yescharacteristic
672#393—71no—
673#393—71no—
674#392—71no—
675#392—71no—
676#391—71no—
677#390—71no—
678#390—71no—
679#389—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388—71no—
687#388C2×D711yescharacteristic, complemented
688#388C2×D711yescharacteristic, complemented
689#387—71no—
690#387—71no—
691#387C2×D711yescharacteristic, complemented
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#386C2×D711yescharacteristic
713#386C2×D711yescharacteristic
714#385—71no—
715#385—71no—
716#385—71no—
717#385—71no—
718#385—71no—
719#385—71no—
720#385—71no—
721#385—71no—
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385—71no—
730#385—71no—
731#385—71no—
732#385—71no—
733#385—71no—
734#385—71no—
735#385—71no—
736#385—71no—
737#385C2×D711yescharacteristic, complemented
738#382—71no—
739#381—71no—
740#381C2×D711yescharacteristic, complemented
741#381C2×D711yescharacteristic, complemented
742#380—71no—
743#380—71no—
744#380—71no—
745#380—71no—
746#380—71no—
747#380—71no—
748#380—71no—
749#380—71no—
750#380—71no—
751#380—71no—
752#380C2×D711yescharacteristic, complemented
753#379—71no—
754#379—71no—
755#379—71no—
756#379—71no—
757C4×C22⋊C4—71no—
758C2×#95—71no—
759C2×#95—71no—
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×C7C2×#4112yes—
773C23×C7H(5,𝔽2)12yes—
774C23×C7C2511yescharacteristic
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—28no—
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—28no—
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×D7—44no—
808C22×D7—82no—
809C22×D7—82no—
810C22×D7—82no—
811C22×D7—82no—
812C22×D7C2×#4112yes—
813C22×D7C2×#4112yes—
814C22×D7H(5,𝔽2)12yes—
815C22×D7H(5,𝔽2)12yes—
816C22×D72−1+412yes—
817C7×D4—44no—
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—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—21no—
856C2×C4×C7—21no—
857C2×C4×C7—44no—
858C2×C4×C7—82no—
859C22⋊D7—44no—
860C22⋊D7—44no—
861C22⋊D7—82no—
862C22⋊D7—82no—
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—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—44no—
899C2×Dic7—82no—
900C2×Dic7H(5,𝔽2)12yes—
901D28—44no—
902D28—44no—
903D28—82no—
904D28—82no—
905C4×D7—44no—
906C4×D7—44no—
907C4×D7—44no—
908C4×D7—44no—
909C4×D7—44no—
910C4×D7—82no—
911C4×D7—82no—
912C4×D7—82no—
913C4×D7—82no—
914C4×D7—82no—
915Dic14—82no—
916C25—71no—
917C25—71no—
918C22×Q8—71no—
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—71no—
938C23×C4—71no—
939C23×C4—71no—
940C23×C4—71no—
941C23×C4—71no—
942C23×C4—71no—
943C23×C4—282no—
944C23×C4—282no—
945C23×C4—282no—
946C23×C4C22×D711yescharacteristic
947C23×C4C22×D711yescharacteristic
948#126—282no—
949#123—282no—
950#123—282no—
951#123—282no—
952#123—282no—
953#123—282no—
954#123—282no—
955C22⋊Q8—282no—
956C22⋊Q8—282no—
957C22⋊Q8—282no—
958C22⋊Q8—282no—
959#121—282no—
960#121—282no—
961#120—144no—
962#120—282no—
963C4×D4—282no—
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⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4C22×D711yescharacteristic
988C2×C4⋊C4C22×D711yescharacteristic
989C2×C4⋊C4C22×D711yescharacteristic
990C2×C4⋊C4C22×D711yescharacteristic
991C2×C4⋊C4C22×D711yescharacteristic
992C2×C4⋊C4C22×D711yescharacteristic
993C2×C4⋊C4C22×D711yescharacteristic
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—144no—
1037C2×C22⋊C4—282no—
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×C22⋊C4C22×D711yescharacteristic
1050C2×C22⋊C4C22×D711yescharacteristic
1051C2×C42—71no—
1052C2×C42—71no—
1053C2×C42C22×D711yescharacteristic
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#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
1096#95C22×D711yescharacteristic
1097#95C22×D711yescharacteristic
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7—41no—
1112C22×C7C22×#4111yescharacteristic
1113C22×C7C2×H(5,𝔽2)11yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7C2×H(5,𝔽2)11yescharacteristic
1116C22×C7C2×H(5,𝔽2)11yescharacteristic
1117C22×C7C2×2−1+411yescharacteristic
1118C22×C7#58511yescharacteristic
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—22no—
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—416no—
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—41no—
1147C2×D7—88no—
1148C2×D7#53914yes—
1149C4×C7—41no—
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—
1160C4×C7—41no—
1161C4×C7—41no—
1162Dic7—22no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169Dic7—41no—
1170Dic7—41no—
1171Dic7—41no—
1172Dic7—41no—
1173Dic7—41no—
1174C24—71no—
1175C24—71no—
1176C24—71no—
1177C24—74no—
1178C24—71no—
1179C24—142no—
1180C24—142no—
1181C24—142no—
1182C24—142no—
1183C24—142no—
1184C24—142no—
1185C24—142no—
1186C24—281no—
1187C24—281no—
1188C24—281no—
1189C24—281no—
1190C24—281no—
1191C24—281no—
1192C24C23×D711yescharacteristic
1193C24C23×D711yescharacteristic
1194C2×Q8—142no—
1195C2×Q8—281no—
1196C2×Q8—281no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—41no—
1200C2×D4—142no—
1201C2×D4—142no—
1202C2×D4—142no—
1203C2×D4—142no—
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—281no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C2×D4—281no—
1218C2×D4—281no—
1219C2×D4—281no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—2816no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
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—71no—
1240C22×C4—71no—
1241C22×C4—71no—
1242C22×C4—71no—
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—281no—
1254C22×C4—281no—
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—281no—
1274C22×C4—281no—
1275C22×C4—281no—
1276C22×C4—2816no—
1277C22×C4—281no—
1278C22×C4—281no—
1279C22×C4—281no—
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
1292C22×C4C23×D711yescharacteristic
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—142no—
1301C4⋊C4—142no—
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—
1313C4⋊C4—281no—
1314C4⋊C4—281no—
1315C4⋊C4—281no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C4⋊C4—281no—
1319C4⋊C4—281no—
1320C4⋊C4—281no—
1321C4⋊C4—281no—
1322C4⋊C4—281no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
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—142no—
1345C22⋊C4—142no—
1346C22⋊C4—142no—
1347C22⋊C4—142no—
1348C22⋊C4—142no—
1349C22⋊C4—142no—
1350C22⋊C4—142no—
1351C22⋊C4—142no—
1352C22⋊C4—142no—
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—
1369C22⋊C4—281no—
1370C22⋊C4—281no—
1371C22⋊C4—281no—
1372C22⋊C4—281no—
1373C22⋊C4—281no—
1374C22⋊C4—281no—
1375C42—41no—
1376C42—281no—
1377C42—281no—
1378C2×C7—42no—
1379C2×C7—42no—
1380C2×C7C2×#53911yescharacteristic
1381C2×C7#349011yescharacteristic
1382C2×C7#350511yescharacteristic
1383C2×C7#353211yescharacteristic
1384C2×C7#353411yescharacteristic
1385C2×C7#353511yescharacteristic
1386C2×C7#353611yescharacteristic
1387D7—24no—
1388D7—42no—
1389D7—42no—
1390D7—81no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—72no—
1404C23—72no—
1405C23—72no—
1406C23—72no—
1407C23—72no—
1408C23—148no—
1409C23—148no—
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—141no—
1430C23—141no—
1431C23—141no—
1432C23—141no—
1433C23—284no—
1434C23—284no—
1435C23—284no—
1436C23—284no—
1437C23—284no—
1438C23—284no—
1439C23—284no—
1440C23—284no—
1441C23—562no—
1442C23—562no—
1443C23—562no—
1444C23—562no—
1445C23D7×#4112yes—
1446C23#655312yes—
1447C23C24×D711yescharacteristic
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—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—44no—
1498C2×C4—72no—
1499C2×C4—82no—
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—141no—
1535C2×C4—284no—
1536C2×C4—284no—
1537C2×C4—284no—
1538C2×C4—284no—
1539C2×C4—284no—
1540C2×C4—284no—
1541C2×C4—562no—
1542C2×C4—562no—
1543C2×C4—562no—
1544C2×C4—562no—
1545C2×C4—562no—
1546C2×C4—562no—
1547C7#3677511yescharacteristic, complemented, Sylow
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—74no—
1563C22—142no—
1564C22—142no—
1565C22—142no—
1566C22—142no—
1567C22—142no—
1568C22—142no—
1569C22—142no—
1570C22—142no—
1571C22—142no—
1572C22—142no—
1573C22—142no—
1574C22—142no—
1575C22—2816no—
1576C22—281no—
1577C22—281no—
1578C22—281no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22—281no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22—281no—
1588C22—281no—
1589C22—281no—
1590C22—281no—
1591C22—568no—
1592C22C2×D7×#4111yescharacteristic
1593C22C2×#655311yescharacteristic
1594C22#9061611yescharacteristic
1595C22D7×H(5,𝔽2)11yescharacteristic
1596C22D7×H(5,𝔽2)11yescharacteristic
1597C22D7×H(5,𝔽2)11yescharacteristic
1598C22D7×2−1+411yescharacteristic
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—142no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C4—281no—
1621C4—281no—
1622C4—281no—
1623C4—281no—
1624C2—42no—
1625C2—42no—
1626C2—144no—
1627C2—282no—
1628C2—282no—
1629C2—561no—
1630C2#1174348611yescharacteristic
1631C2D7×#53911yescharacteristic
1632C2#1174355811yescharacteristic
1633C2#1174388311yescharacteristic
1634C2#1174388511yescharacteristic
1635C2#1174391211yescharacteristic
1636C2#1174416311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2743C2
prime radical#11734553C2
hypercenter#2743D7
hypocenterC7#36775
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2743

Complements

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

NH ≅ G/Ntype
1. C7×#2743C2semidirect
2. #11735818C2semidirect
3. #11735816C2semidirect
4. #11735808C2semidirect
5. #11735807C2semidirect
6. #11735789C2semidirect
7. #11735735C2semidirect
8. #11735546C2semidirect
9. #11735522C2semidirect
10. #11734863C2semidirect
11. #11734793C2semidirect
13. #11734455C2semidirect
14. #11733271C2semidirect
15. #11733121C2semidirect
16. #11733114C2semidirect
17. #11732984C2semidirect
18. #11732786C2semidirect
19. #11732595C2semidirect
20. D7×#386C2semidirect
21. #11732263C2semidirect
22. #11732249C2semidirect
23. #11732131C2semidirect
24. #11732100C2semidirect
25. #11732082C2semidirect
26. #11731591C2semidirect
27. #11731587C2semidirect
28. #11731571C2semidirect
29. #11731552C2semidirect
30. #11731450C2semidirect
31. #11731409C2semidirect
35. C2×#6492C22semidirect
36. C2×#6492C22semidirect
38. C2×#6460C22semidirect
40. C2×#6459C22semidirect
42. C2×#6457C22semidirect
45. C2×#6449C22semidirect
53. C2×#6441C22semidirect
54. C2×#6439C22semidirect
55. C7×#400C22semidirect
56. C7×#400C22semidirect
57. C7×#400C22semidirect
58. C7×#399C22semidirect
59. C7×#396C22semidirect
61. C7×#388C22semidirect
62. C7×#388C22semidirect
63. C7×#387C22semidirect
66. C7×#385C22semidirect
67. C7×#381C22semidirect
68. C7×#381C22semidirect
69. C7×#380C22semidirect
74. #89984C22semidirect
75. #89982C22semidirect
76. #89766C22semidirect
77. #89765C22semidirect
78. #89765C22semidirect
79. #89765C22semidirect
80. #89763C22semidirect
81. #89762C22semidirect
86. #89761C22semidirect
87. #89761C22semidirect
88. #89761C22semidirect
89. #89761C22semidirect
90. #89761C22semidirect
92. #89759C22semidirect
93. #89758C22semidirect
94. #89756C22semidirect
95. #89756C22semidirect
96. #89752C22semidirect
97. #89750C22semidirect
100. #89733C22semidirect
104. #89730C22semidirect
105. #89729C22semidirect
109. #89728C22semidirect
110. #89728C22semidirect
115. #89724C22semidirect
116. #89723C22semidirect
117. #89721C22semidirect
118. #89720C22semidirect
119. #89720C22semidirect
120. #89719C22semidirect
121. #89718C22semidirect
122. #89717C22semidirect
123. #89716C22semidirect
124. #89715C22semidirect
125. #89714C22semidirect
126. #89714C22semidirect
127. #89714C22semidirect
128. #89711C22semidirect
130. #89700C22semidirect
131. #89448C22semidirect
132. #89447C22semidirect
133. #89447C22semidirect
134. #89447C22semidirect
135. #89447C22semidirect
136. #89446C22semidirect
137. #89445C22semidirect
140. #89444C22semidirect
141. #89444C22semidirect
142. #89442C22semidirect
143. #89441C22semidirect
144. #89441C22semidirect
151. #89440C22semidirect
152. #89440C22semidirect
153. #89440C22semidirect
154. #89440C22semidirect
155. #89440C22semidirect
156. #89440C22semidirect
159. #89439C22semidirect
160. #89439C22semidirect
168. #89437C22semidirect
169. #89437C22semidirect
170. #89437C22semidirect
173. C7⋊#401C22semidirect
174. #89433C22semidirect
175. #89432C22semidirect
176. #89432C22semidirect
177. #89431C22semidirect
178. #89431C22semidirect
179. #89430C22semidirect
180. #89430C22semidirect
181. #89430C22semidirect
182. #89429C22semidirect
183. #89429C22semidirect
184. #89426C22semidirect
185. #89422C22semidirect
186. #89418C22semidirect
376. #2743D7semidirect
637. #400C2×D7semidirect
638. #400C2×D7semidirect
639. #400C2×D7semidirect
641. #399C2×D7semidirect
661. #396C2×D7semidirect
687. #388C2×D7semidirect
688. #388C2×D7semidirect
691. #387C2×D7semidirect
737. #385C2×D7semidirect
740. #381C2×D7semidirect
741. #381C2×D7semidirect
752. #380C2×D7semidirect
1547. C7#36775semidirect

Maximal subgroups

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

subgroupindex
C7×#27432
#117358182
#117358162
#117358082
#117358072
#117357892
#117357352
#117355462
#117355222
#117348632
#117347932
#117345532
#117344552
#117332712
#117331212
#117331142
#117329842
#117327862
#117325952
D7×#3862
#117322632
#117322492
#117321312
#117321002
#117320822
#117315912
#117315872
#117315712
#117315522
#117314502
#117314092
#367757