Finite Group Databasebeta

← #13562662

Subgroups — #13562662

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×#2329C211yesmaximal, characteristic, complemented
2#11740229C211yesmaximal, characteristic, complemented
3#11740206C211yesmaximal, characteristic, complemented
4#11734098C211yesmaximal, characteristic, complemented
5#11734097C211yesmaximal, characteristic, complemented
6#11734096C211yesmaximal, characteristic, complemented
7#11734094C211yesmaximal, characteristic, complemented
8#11733710C211yesmaximal, characteristic, complemented
9#11733702C211yesmaximal, characteristic, complemented
10#11733583C211yesmaximal, characteristic, complemented
11#11733566C211yesmaximal, characteristic, complemented
12#11732884C211yesmaximal, characteristic, complemented
13#11732874C211yesmaximal, characteristic, complemented
14#11732869C211yesmaximal, characteristic, complemented
15#11732845C211yesmaximal, characteristic, complemented
16#11732844C211yesmaximal, characteristic, complemented
17#11732836C211yesmaximal, characteristic, complemented
18#11732598C211yesmaximal, characteristic, complemented
19#11732595C211yesmaximal, characteristic, complemented
20#11732101C211yesmaximal, characteristic, complemented
21#11732100C211yesmaximal, characteristic, complemented
22#11732066C211yesmaximal, characteristic, complemented
23#11732064C211yesmaximal, characteristic, complemented
24#11731461C211yesmaximal, characteristic
25#11731383C211yesmaximal, characteristic, complemented
26#11731041C211yesmaximal, characteristic, complemented
27#11731041C211yesmaximal, characteristic, complemented
28#11731039C211yesmaximal, characteristic, complemented
29#11731039C211yesmaximal, characteristic, complemented
30#11730812C211yesmaximal, characteristic, complemented
31C2×#89437C211yesmaximal, characteristic, complemented
32C23×D28C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×C22⋊Q8C2211yescharacteristic
35C2×#6510C2211yescharacteristic
36C2×#6510C2211yescharacteristic
37C2×C4×C22⋊D7C2211yescharacteristic
38C22×(C2×D7)⋊C4C2211yescharacteristic
39C22×(C2×D7)⋊C4C2211yescharacteristic
40C22×(C2×D7)⋊C4C2211yescharacteristic
41C2×#6459C2211yescharacteristic, complemented
42C2×#6459C2211yescharacteristic, complemented
43C2×#6458C2211yescharacteristic
44C2×#6458C2211yescharacteristic
45C2×#6457C2211yescharacteristic, complemented
46C2×#6457C2211yescharacteristic, complemented
47C2×#6445C2211yescharacteristic
48C2×#6445C2211yescharacteristic
49C2×#6441C2211yescharacteristic
50C2×#6441C2211yescharacteristic
51C2×#6439C2211yescharacteristic, complemented
52C2×#6439C2211yescharacteristic, complemented
53C2×#6438C2211yescharacteristic, complemented
54C2×#6438C2211yescharacteristic, complemented
55C7×#391C2211yescharacteristic, complemented
56C7×#391C2211yescharacteristic, complemented
57C7×#389C2211yescharacteristic, complemented
58C7×#389C2211yescharacteristic, complemented
59C7×#387C2211yescharacteristic, complemented
60C7×#387C2211yescharacteristic, complemented
61C7×#387C2211yescharacteristic, complemented
62C7×#387C2211yescharacteristic, complemented
63C7×#385C2211yescharacteristic
64C7×#385C2211yescharacteristic
65C7×#380C2211yescharacteristic
66C4×C7×C22⋊C4C2211yescharacteristic
67C4×C7×C22⋊C4C2211yescharacteristic
68C2×C7×#95C2211yescharacteristic
69#90003C2211yescharacteristic, complemented
70#90001C2211yescharacteristic, complemented
71#89985C2211yescharacteristic
72#89985C2211yescharacteristic
73#89982C2211yescharacteristic
74#89982C2211yescharacteristic
75C4×C22⋊Dic7C2211yescharacteristic
76C2×C7⋊#95C2211yescharacteristic
77#89766C2211yescharacteristic, complemented
78#89766C2211yescharacteristic, complemented
79#89765C2211yescharacteristic, complemented
80#89765C2211yescharacteristic, complemented
81#89764C2211yescharacteristic, complemented
82#89764C2211yescharacteristic, complemented
83#89764C2211yescharacteristic, complemented
84#89763C2211yescharacteristic
85#89763C2211yescharacteristic
86#89763C2211yescharacteristic
87#89763C2211yescharacteristic
88#89763C2211yescharacteristic, complemented
89#89763C2211yescharacteristic, complemented
90#89761C2211yescharacteristic, complemented
91#89761C2211yescharacteristic, complemented
92#89761C2211yescharacteristic, complemented
93#89761C2211yescharacteristic, complemented
94#89761C2211yescharacteristic, complemented
95#89761C2211yescharacteristic, complemented
96#89760C2211yescharacteristic
97#89760C2211yescharacteristic
98#89760C2211yescharacteristic
99#89760C2211yescharacteristic
100#89756C2211yescharacteristic, complemented
101#89756C2211yescharacteristic, complemented
102#89754C2211yescharacteristic, complemented
103#89751C2211yescharacteristic, complemented
104#89751C2211yescharacteristic, complemented
105#89750C2211yescharacteristic, complemented
106#89750C2211yescharacteristic, complemented
107#89730C2211yescharacteristic
108#89730C2211yescharacteristic
109#89727C2211yescharacteristic
110#89727C2211yescharacteristic
111#89727C2211yescharacteristic
112#89727C2211yescharacteristic
113#89727C2211yescharacteristic
114#89727C2211yescharacteristic
115#89718C2211yescharacteristic
116#89718C2211yescharacteristic
117#89714C2211yescharacteristic
118#89714C2211yescharacteristic
119#89712C2211yescharacteristic, complemented
120#89712C2211yescharacteristic, complemented
121#89712C2211yescharacteristic, complemented
122#89712C2211yescharacteristic, complemented
123#89712C2211yescharacteristic, complemented
124#89712C2211yescharacteristic, complemented
125#89712C2211yescharacteristic, complemented
126#89712C2211yescharacteristic, complemented
127#89712C2211yescharacteristic, complemented
128#89712C2211yescharacteristic, complemented
129#89711C2211yescharacteristic, complemented
130#89711C2211yescharacteristic, complemented
131#89448C2211yescharacteristic, complemented
132#89448C2211yescharacteristic, complemented
133#89448C2211yescharacteristic, complemented
134#89448C2211yescharacteristic, complemented
135#89447C2211yescharacteristic, complemented
136#89447C2211yescharacteristic, complemented
137#89447C2211yescharacteristic, complemented
138#89447C2211yescharacteristic, complemented
139#89447C2211yescharacteristic, complemented
140#89447C2211yescharacteristic, complemented
141#89447C2211yescharacteristic, complemented
142#89447C2211yescharacteristic, complemented
143#89446C2211yescharacteristic, complemented
144#89446C2211yescharacteristic, complemented
145#89445C2211yescharacteristic, complemented
146#89445C2211yescharacteristic, complemented
147#89445C2211yescharacteristic, complemented
148#89445C2211yescharacteristic, complemented
149#89444C2211yescharacteristic
150#89444C2211yescharacteristic
151#89444C2211yescharacteristic, complemented
152#89444C2211yescharacteristic, complemented
153#89444C2211yescharacteristic, complemented
154#89444C2211yescharacteristic, complemented
155#89444C2211yescharacteristic, complemented
156#89444C2211yescharacteristic, complemented
157#89443C2211yescharacteristic
158#89443C2211yescharacteristic
159#89441C2211yescharacteristic, complemented
160#89441C2211yescharacteristic, complemented
161#89440C2211yescharacteristic, complemented
162#89440C2211yescharacteristic, complemented
163#89439C2211yescharacteristic, complemented
164#89439C2211yescharacteristic, complemented
165#89439C2211yescharacteristic, complemented
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176#89436C2211yescharacteristic, complemented
177#89436C2211yescharacteristic, complemented
178#89436C2211yescharacteristic, complemented
179#89424C2211yescharacteristic, complemented
180#89424C2211yescharacteristic, complemented
181#89423C2211yescharacteristic, complemented
182#89422C2211yescharacteristic, complemented
183#89419C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36793—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×Q8C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C23×Dic7C2311yescharacteristic
196C23×Dic7C2311yescharacteristic
197C22×D28—24no—
198C22×D28—42no—
199C22×D28—42no—
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×C4×D7—42no—
209C22×C4×D7—42no—
210C22×C4×D7—42no—
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C22×Dic14C2311yescharacteristic
218C7×C22⋊Q8—24no—
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×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×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239#6510—42no—
240#6510—42no—
241C4×C22⋊D7—24no—
242C2×(C2×D7)⋊C4—42no—
243C2×(C2×D7)⋊C4—42no—
244C2×(C2×D7)⋊C4—42no—
245C2×(C2×D7)⋊C4C2311yescharacteristic
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(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×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316#6459—42no—
317#6459—42no—
318#6458—42no—
319#6458—42no—
320#6457—42no—
321#6457—42no—
322#6445—42no—
323#6445—42no—
324#6441—42no—
325#6441—42no—
326#6439—42no—
327#6439—42no—
328#6438—42no—
329#6438—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#2564—71no—
391#2549—71no—
392#2480—71no—
393#2480—71no—
394#2472—71no—
395#2472—71no—
396#2435—71no—
397#2408—71no—
398#2329D711yescharacteristic, complemented
399#2318—71no—
400C2×#386—71no—
401C24×C7C2411yescharacteristic
402C23×D7—22no—
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×D7C2411yescharacteristic
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×Q8—22no—
422C2×C7×Q8—41no—
423C2×C7×Q8—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×C7—41no—
431C22×C4×C7—41no—
432C22×C4×C7#4114yes—
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
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C22×Dic7—22no—
451C22×Dic7—22no—
452C22×Dic7—22no—
453C22×Dic7—41no—
454C22×Dic7—41no—
455C22×Dic7—41no—
456C22×Dic7C2411yescharacteristic
457C22×Dic7C2411yescharacteristic
458C22×Dic7C2411yescharacteristic
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C2×D28—22no—
468C2×D28—22no—
469C2×D28—22no—
470C2×D28—22no—
471C2×D28—22no—
472C2×D28—22no—
473C2×D28—22no—
474C2×D28—22no—
475C2×D28—22no—
476C2×D28—22no—
477C2×D28—41no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28—41no—
481C2×D28—416no—
482C2×D28—41no—
483C2×D28—41no—
484C2×D28—41no—
485C2×D28—41no—
486C2×D28—41no—
487C2×D28—41no—
488C2×D28—41no—
489C2×D28—41no—
490C2×D28—41no—
491C2×D28—41no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
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—41no—
504C2×C4×D7—41no—
505C2×C4×D7—416no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
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—41no—
518C7×C4⋊C4—41no—
519C7×C4⋊C4—41no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C42×C7—41no—
528C42×C7—41no—
529C42×C7—41no—
530C42×C7—41no—
531C22⋊Dic7—22no—
532C22⋊Dic7—22no—
533C22⋊Dic7—22no—
534(C2×D7)⋊C4—22no—
535(C2×D7)⋊C4—22no—
536(C2×D7)⋊C4—22no—
537(C2×D7)⋊C4—22no—
538(C2×D7)⋊C4—22no—
539(C2×D7)⋊C4—22no—
540(C2×D7)⋊C4—22no—
541(C2×D7)⋊C4—22no—
542(C2×D7)⋊C4—22no—
543(C2×D7)⋊C4—22no—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—41no—
547(C2×D7)⋊C4—41no—
548(C2×D7)⋊C4—41no—
549(C2×D7)⋊C4—41no—
550(C2×D7)⋊C4—41no—
551(C2×D7)⋊C4—41no—
552(C2×D7)⋊C4—41no—
553(C2×D7)⋊C4—41no—
554(C2×D7)⋊C4—41no—
555(C2×D7)⋊C4—41no—
556(C2×D7)⋊C4—41no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
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—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4—41no—
582(C2×D7)⋊C4—41no—
583C4⋊Dic7—41no—
584C4⋊Dic7—41no—
585Dic7⋊C4—22no—
586Dic7⋊C4—22no—
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—
602C4×Dic7—22no—
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×D4—71no—
625C22×C22⋊C4—71no—
626C22×C22⋊C4—71no—
627C22×C22⋊C4—71no—
628#400—71no—
629#399—71no—
630#399—71no—
631#399—71no—
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#395—71no—
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#393—71no—
674#392—71no—
675#392—71no—
676#391—71no—
677#391—71no—
678#391C2×D711yescharacteristic, complemented
679#391C2×D711yescharacteristic, complemented
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#389C2×D711yescharacteristic, complemented
689#389C2×D711yescharacteristic, complemented
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#387C2×D711yescharacteristic, complemented
707#387C2×D711yescharacteristic, complemented
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#386—71no—
723#386—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#385C2×D711yescharacteristic
737#385C2×D711yescharacteristic
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#380—71no—
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⋊C4C2×D711yescharacteristic
757C4×C22⋊C4C2×D711yescharacteristic
758C2×#95—71no—
759C2×#95C2×D711yescharacteristic
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7C2×#4112yes—
765C23×C7H(5,𝔽2)12yes—
766C23×C72−1+412yes—
767C23×C7C2511yescharacteristic
768C22×D7—28no—
769C22×D7—21no—
770C22×D7—21no—
771C22×D7—21no—
772C22×D7—21no—
773C22×D7—21no—
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—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—
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—21no—
858C2×C4×C7—44no—
859C2×C4×C7—44no—
860C2×C4×C7—82no—
861C2×C4×C7C2×#4112yes—
862C2×C4×C7C2×#4112yes—
863C22⋊D7—44no—
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—44no—
897C2×Dic7—82no—
898C2×Dic7H(5,𝔽2)12yes—
899D28—44no—
900D28—44no—
901D28—44no—
902D28—44no—
903D28—82no—
904D28—82no—
905D28—82no—
906D28—82no—
907C4×D7—44no—
908C4×D7—44no—
909C4×D7—44no—
910C4×D7—44no—
911C4×D7—82no—
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—71no—
928C22×D4—144no—
929C22×D4—282no—
930C22×D4—282no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—282no—
939C23×C4—282no—
940C23×C4—282no—
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—144no—
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⋊C4C22×D711yescharacteristic
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
986C2×C4⋊C4C22×D711yescharacteristic
987C2×C4⋊C4C22×D711yescharacteristic
988C2×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—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—282no—
1043C2×C22⋊C4—282no—
1044C2×C22⋊C4—282no—
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×C42C22×D711yescharacteristic
1053C2×C42C22×D711yescharacteristic
1054C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
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#54214yes—
1103C22×C7C22×#4111yescharacteristic
1104C22×C7C2×H(5,𝔽2)11yescharacteristic
1105C22×C7C2×H(5,𝔽2)11yescharacteristic
1106C22×C7C2×H(5,𝔽2)11yescharacteristic
1107C22×C7C2×H(5,𝔽2)11yescharacteristic
1108C22×C7C2×2−1+411yescharacteristic
1109C22×C7#58511yescharacteristic
1110C2×D7—22no—
1111C2×D7—22no—
1112C2×D7—22no—
1113C2×D7—22no—
1114C2×D7—22no—
1115C2×D7—22no—
1116C2×D7—416no—
1117C2×D7—41no—
1118C2×D7—41no—
1119C2×D7—41no—
1120C2×D7—41no—
1121C2×D7—41no—
1122C2×D7—41no—
1123C2×D7—41no—
1124C2×D7—41no—
1125C2×D7—41no—
1126C2×D7—41no—
1127C2×D7—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—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—
1161Dic7—22no—
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—71no—
1177C24—142no—
1178C24—142no—
1179C24—142no—
1180C24—142no—
1181C24—142no—
1182C24—142no—
1183C24—142no—
1184C24—142no—
1185C24—281no—
1186C24—281no—
1187C24—281no—
1188C24—281no—
1189C24—281no—
1190C24—281no—
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—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—142no—
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—281no—
1225C2×D4—281no—
1226C2×D4—281no—
1227C2×D4—281no—
1228C2×D4—2816no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—71no—
1238C22×C4—71no—
1239C22×C4—71no—
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—142no—
1249C22×C4—142no—
1250C22×C4—142no—
1251C22×C4—142no—
1252C22×C4—142no—
1253C22×C4—142no—
1254C22×C4—142no—
1255C22×C4—142no—
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—2816no—
1267C22×C4—281no—
1268C22×C4—281no—
1269C22×C4—281no—
1270C22×C4#115714yes—
1271C22×C4C23×D711yescharacteristic
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—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—142no—
1295C4⋊C4—142no—
1296C4⋊C4—142no—
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—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—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4—281no—
1348C22⋊C4—281no—
1349C22⋊C4—281no—
1350C22⋊C4—281no—
1351C22⋊C4—281no—
1352C22⋊C4—281no—
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—41no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C42—142no—
1374C42—281no—
1375C42—281no—
1376C2×C7—24no—
1377C2×C7C2×#54211yescharacteristic
1378C2×C7#349011yescharacteristic
1379C2×C7#350611yescharacteristic
1380C2×C7#353211yescharacteristic
1381C2×C7#353411yescharacteristic
1382C2×C7#353511yescharacteristic
1383C2×C7#353611yescharacteristic
1384D7—42no—
1385D7—42no—
1386D7—81no—
1387D7—81no—
1388D7—81no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—72no—
1394C23—72no—
1395C23—148no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—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×#115712yes—
1443C23#655112yes—
1444C23#655312yes—
1445C23C24×D711yescharacteristic
1446Q8—82no—
1447Q8—562no—
1448Q8—562no—
1449D4—284no—
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—21no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—72no—
1501C2×C4—82no—
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×C4—562no—
1541C2×C4C2×#115712yes—
1542C2×C4C2×#115712yes—
1543C7#3679311yescharacteristic, complemented, Sylow
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—142no—
1551C22—142no—
1552C22—142no—
1553C22—142no—
1554C22—142no—
1555C22—142no—
1556C22—2816no—
1557C22—281no—
1558C22—281no—
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—
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#9027314yes—
1588C22C22×#115711yescharacteristic
1589C22C2×#655111yescharacteristic
1590C22C2×#655311yescharacteristic
1591C22D7×H(5,𝔽2)11yescharacteristic
1592C22D7×H(5,𝔽2)11yescharacteristic
1593C22D7×H(5,𝔽2)11yescharacteristic
1594C22#9062011yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—142no—
1610C4—281no—
1611C4—281no—
1612C4—281no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C2—24no—
1621C2—282no—
1622C2—282no—
1623C2—561no—
1624C2—561no—
1625C2—561no—
1626C2C2×#9027311yescharacteristic
1627C2#1174293611yescharacteristic
1628C2#1174295911yescharacteristic
1629C2#1174348611yescharacteristic
1630C2#1174352611yescharacteristic
1631C2#1174364311yescharacteristic
1632C2#1174366811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2329C2
prime radical#11731461C2
hypercenter#2329D7
hypocenterC7#36793
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2329

Complements

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

NH ≅ G/Ntype
1. C7×#2329C2semidirect
2. #11740229C2semidirect
3. #11740206C2semidirect
4. #11734098C2semidirect
5. #11734097C2semidirect
6. #11734096C2semidirect
7. #11734094C2semidirect
8. #11733710C2semidirect
9. #11733702C2semidirect
10. #11733583C2semidirect
11. #11733566C2semidirect
12. #11732884C2semidirect
13. #11732874C2semidirect
14. #11732869C2semidirect
15. #11732845C2semidirect
16. #11732844C2semidirect
17. #11732836C2semidirect
18. #11732598C2semidirect
19. #11732595C2semidirect
20. #11732101C2semidirect
21. #11732100C2semidirect
22. #11732066C2semidirect
23. #11732064C2semidirect
25. #11731383C2semidirect
26. #11731041C2semidirect
27. #11731041C2semidirect
28. #11731039C2semidirect
29. #11731039C2semidirect
30. #11730812C2semidirect
31. C2×#89437C2semidirect
41. C2×#6459C22semidirect
42. C2×#6459C22semidirect
45. C2×#6457C22semidirect
46. C2×#6457C22semidirect
51. C2×#6439C22semidirect
52. C2×#6439C22semidirect
53. C2×#6438C22semidirect
54. C2×#6438C22semidirect
55. C7×#391C22semidirect
56. C7×#391C22semidirect
57. C7×#389C22semidirect
58. C7×#389C22semidirect
59. C7×#387C22semidirect
60. C7×#387C22semidirect
61. C7×#387C22semidirect
62. C7×#387C22semidirect
69. #90003C22semidirect
70. #90001C22semidirect
77. #89766C22semidirect
78. #89766C22semidirect
79. #89765C22semidirect
80. #89765C22semidirect
81. #89764C22semidirect
82. #89764C22semidirect
83. #89764C22semidirect
88. #89763C22semidirect
89. #89763C22semidirect
90. #89761C22semidirect
91. #89761C22semidirect
92. #89761C22semidirect
93. #89761C22semidirect
94. #89761C22semidirect
95. #89761C22semidirect
100. #89756C22semidirect
101. #89756C22semidirect
102. #89754C22semidirect
103. #89751C22semidirect
104. #89751C22semidirect
105. #89750C22semidirect
106. #89750C22semidirect
119. #89712C22semidirect
120. #89712C22semidirect
121. #89712C22semidirect
122. #89712C22semidirect
123. #89712C22semidirect
124. #89712C22semidirect
125. #89712C22semidirect
126. #89712C22semidirect
127. #89712C22semidirect
128. #89712C22semidirect
129. #89711C22semidirect
130. #89711C22semidirect
131. #89448C22semidirect
132. #89448C22semidirect
133. #89448C22semidirect
134. #89448C22semidirect
135. #89447C22semidirect
136. #89447C22semidirect
137. #89447C22semidirect
138. #89447C22semidirect
139. #89447C22semidirect
140. #89447C22semidirect
141. #89447C22semidirect
142. #89447C22semidirect
143. #89446C22semidirect
144. #89446C22semidirect
145. #89445C22semidirect
146. #89445C22semidirect
147. #89445C22semidirect
148. #89445C22semidirect
151. #89444C22semidirect
152. #89444C22semidirect
153. #89444C22semidirect
154. #89444C22semidirect
155. #89444C22semidirect
156. #89444C22semidirect
159. #89441C22semidirect
160. #89441C22semidirect
161. #89440C22semidirect
162. #89440C22semidirect
163. #89439C22semidirect
164. #89439C22semidirect
165. #89439C22semidirect
174. #89437C22semidirect
175. #89437C22semidirect
176. #89436C22semidirect
177. #89436C22semidirect
178. #89436C22semidirect
179. #89424C22semidirect
180. #89424C22semidirect
181. #89423C22semidirect
182. #89422C22semidirect
183. #89419C22semidirect
184. #89419C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
398. #2329D7semidirect
678. #391C2×D7semidirect
679. #391C2×D7semidirect
688. #389C2×D7semidirect
689. #389C2×D7semidirect
706. #387C2×D7semidirect
707. #387C2×D7semidirect
708. #387C2×D7semidirect
709. #387C2×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×#23292
#117402292
#117402062
#117340982
#117340972
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