Finite Group Databasebeta

← #13560183

Subgroups — #13560183

Order 1792.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2824C211yesmaximal, characteristic, complemented
2#11735769C211yesmaximal, characteristic, complemented
3#11735765C211yesmaximal, characteristic, complemented
4#11735577C211yesmaximal, characteristic, complemented
5#11735574C211yesmaximal, characteristic, complemented
6#11735100C211yesmaximal, characteristic, complemented
7#11735096C211yesmaximal, characteristic, complemented
8#11734906C211yesmaximal, characteristic, complemented
9#11734902C211yesmaximal, characteristic, complemented
10#11734541C211yesmaximal, characteristic, complemented
11#11734538C211yesmaximal, characteristic, complemented
12#11734537C211yesmaximal, characteristic, complemented
13#11734535C211yesmaximal, characteristic, complemented
14#11734337C211yesmaximal, characteristic, complemented
15#11734336C211yesmaximal, characteristic, complemented
16#11734335C211yesmaximal, characteristic, complemented
17#11734334C211yesmaximal, characteristic, complemented
18#11734331C211yesmaximal, characteristic, complemented
19#11734303C211yesmaximal, characteristic, complemented
20#11734300C211yesmaximal, characteristic, complemented
21#11734224C211yesmaximal, characteristic, complemented
22#11734224C211yesmaximal, characteristic, complemented
23#11734223C211yesmaximal, characteristic, complemented
24#11734192C211yesmaximal, characteristic, complemented
25#11734110C211yesmaximal, characteristic, complemented
26#11732379C211yesmaximal, characteristic, complemented
27#11732312C211yesmaximal, characteristic, complemented
28#11732103C211yesmaximal, characteristic, complemented
29#11732102C211yesmaximal, characteristic, complemented
30#11732098C211yesmaximal, characteristic, complemented
31#11731822C211yesmaximal, characteristic, complemented
32C22×#1159C2211yescharacteristic
33C2×Q8×Dic7C2211yescharacteristic
34C2×D4×Dic7C2211yescharacteristic
35C2×D4×Dic7C2211yescharacteristic
36C22×C4×Dic7C2211yescharacteristic
37C2×#6456C2211yescharacteristic
38C2×#6455C2211yescharacteristic
39C2×(C22⋊D7)⋊C4C2211yescharacteristic
40C2×(C22⋊D7)⋊C4C2211yescharacteristic
41C2×(C22⋊D7)⋊C4C2211yescharacteristic
42C2×(C22⋊D7)⋊C4C2211yescharacteristic
43C2×#6440C2211yescharacteristic
44C2×#6440C2211yescharacteristic
45C7×#400C2211yescharacteristic
46C7×#400C2211yescharacteristic
47C7×#397C2211yescharacteristic
48C7×#397C2211yescharacteristic
49C7×#394C2211yescharacteristic
50C7×#394C2211yescharacteristic
51C7×#394C2211yescharacteristic
52C7×#394C2211yescharacteristic
53C7×#393C2211yescharacteristic
54C7×#393C2211yescharacteristic
55C7×#393C2211yescharacteristic
56C7×#392C2211yescharacteristic
57C7×#386C2211yescharacteristic
58C7×#386C2211yescharacteristic
59C7×#385C2211yescharacteristic
60#90003C2211yescharacteristic
61#90003C2211yescharacteristic
62#90001C2211yescharacteristic
63#89995C2211yescharacteristic
64#89995C2211yescharacteristic
65#89995C2211yescharacteristic
66#89995C2211yescharacteristic
67#89995C2211yescharacteristic
68#89994C2211yescharacteristic
69#89994C2211yescharacteristic
70#89992C2211yescharacteristic
71#89992C2211yescharacteristic
72#89985C2211yescharacteristic
73#89985C2211yescharacteristic
74#89982C2211yescharacteristic
75#89766C2211yescharacteristic
76#89766C2211yescharacteristic
77#89765C2211yescharacteristic
78#89764C2211yescharacteristic
79#89762C2211yescharacteristic
80#89756C2211yescharacteristic
81#89755C2211yescharacteristic
82#89755C2211yescharacteristic
83#89754C2211yescharacteristic
84#89752C2211yescharacteristic
85#89751C2211yescharacteristic
86#89750C2211yescharacteristic
87C4⋊C4×Dic7C2211yescharacteristic
88C4⋊C4×Dic7C2211yescharacteristic
89#89733C2211yescharacteristic
90#89733C2211yescharacteristic
91#89733C2211yescharacteristic
92#89733C2211yescharacteristic
93#89733C2211yescharacteristic
94#89733C2211yescharacteristic
95#89733C2211yescharacteristic
96#89732C2211yescharacteristic
97#89732C2211yescharacteristic
98#89732C2211yescharacteristic
99#89731C2211yescharacteristic
100#89731C2211yescharacteristic
101#89731C2211yescharacteristic
102#89731C2211yescharacteristic
103#89731C2211yescharacteristic
104#89731C2211yescharacteristic
105#89731C2211yescharacteristic
106#89730C2211yescharacteristic
107#89730C2211yescharacteristic
108#89729C2211yescharacteristic
109#89729C2211yescharacteristic
110#89725C2211yescharacteristic
111#89725C2211yescharacteristic
112#89725C2211yescharacteristic
113#89724C2211yescharacteristic
114#89724C2211yescharacteristic
115#89724C2211yescharacteristic
116#89724C2211yescharacteristic
117#89724C2211yescharacteristic
118#89722C2211yescharacteristic
119#89721C2211yescharacteristic
120#89721C2211yescharacteristic
121#89720C2211yescharacteristic
122#89720C2211yescharacteristic
123#89720C2211yescharacteristic
124#89720C2211yescharacteristic
125#89720C2211yescharacteristic
126#89720C2211yescharacteristic
127#89719C2211yescharacteristic
128#89718C2211yescharacteristic
129#89717C2211yescharacteristic
130#89716C2211yescharacteristic
131C22⋊C4×Dic7C2211yescharacteristic
132C22⋊C4×Dic7C2211yescharacteristic
133C22⋊C4×Dic7C2211yescharacteristic
134C22⋊C4×Dic7C2211yescharacteristic
135C22⋊C4×Dic7C2211yescharacteristic
136C22⋊C4×Dic7C2211yescharacteristic
137C22⋊C4×Dic7C2211yescharacteristic
138C22⋊C4×Dic7C2211yescharacteristic
139#89448C2211yescharacteristic
140#89448C2211yescharacteristic
141#89447C2211yescharacteristic
142#89447C2211yescharacteristic
143#89447C2211yescharacteristic
144#89446C2211yescharacteristic
145#89446C2211yescharacteristic
146#89446C2211yescharacteristic
147#89446C2211yescharacteristic
148#89446C2211yescharacteristic
149#89445C2211yescharacteristic
150#89444C2211yescharacteristic
151#89444C2211yescharacteristic
152#89444C2211yescharacteristic
153#89442C2211yescharacteristic
154#89438C2211yescharacteristic
155#89438C2211yescharacteristic
156#89438C2211yescharacteristic
157#89438C2211yescharacteristic
158#89438C2211yescharacteristic
159#89438C2211yescharacteristic
160C7⋊#401C2211yescharacteristic
161C7⋊#401C2211yescharacteristic
162#89432C2211yescharacteristic
163#89432C2211yescharacteristic
164#89432C2211yescharacteristic
165#89432C2211yescharacteristic
166#89432C2211yescharacteristic
167#89432C2211yescharacteristic
168#89432C2211yescharacteristic
169#89431C2211yescharacteristic
170#89431C2211yescharacteristic
171#89430C2211yescharacteristic
172#89429C2211yescharacteristic
173#89429C2211yescharacteristic
174#89429C2211yescharacteristic
175#89428C2211yescharacteristic
176#89427C2211yescharacteristic
177#89426C2211yescharacteristic
178#89425C2211yescharacteristic
179#89421C2211yescharacteristic
180#89421C2211yescharacteristic
181#89421C2211yescharacteristic
182#89421C2211yescharacteristic
183#89420C2211yescharacteristic
184#89420C2211yescharacteristic
185#89418C2211yescharacteristic
186#89418C2211yescharacteristic
187#36670—71nomaximal, Sylow
188C22×C7×Q8C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C2×#1159—24no—
204C2×#1159—42no—
205C2×#1159—42no—
206C22×D28C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×Dic14C2311yescharacteristic
210C2×C7×C4⋊C4C2311yescharacteristic
211C2×C7×C4⋊C4C2311yescharacteristic
212C2×C7×C4⋊C4C2311yescharacteristic
213C2×C7×C4⋊C4C2311yescharacteristic
214C2×C7×C22⋊C4C2311yescharacteristic
215C2×C7×C22⋊C4C2311yescharacteristic
216C2×C7×C22⋊C4C2311yescharacteristic
217C2×C7×C22⋊C4C2311yescharacteristic
218C2×C7×C22⋊C4C2311yescharacteristic
219C2×C7×C22⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C22⋊Dic7C2311yescharacteristic
229C2×C22⋊Dic7C2311yescharacteristic
230C2×C22⋊Dic7C2311yescharacteristic
231C2×C22⋊Dic7C2311yescharacteristic
232C2×C22⋊Dic7C2311yescharacteristic
233C2×C22⋊Dic7C2311yescharacteristic
234C2×C22⋊Dic7C2311yescharacteristic
235C2×C22⋊Dic7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242Q8×Dic7—42no—
243D4×Dic7—24no—
244D4×Dic7—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×C4⋊Dic7C2311yescharacteristic
266C2×C4⋊Dic7C2311yescharacteristic
267C2×C4⋊Dic7C2311yescharacteristic
268C2×C4⋊Dic7C2311yescharacteristic
269C2×C4⋊Dic7C2311yescharacteristic
270C2×C4⋊Dic7C2311yescharacteristic
271C2×C4⋊Dic7C2311yescharacteristic
272C2×C4⋊Dic7C2311yescharacteristic
273C2×Dic7⋊C4C2311yescharacteristic
274C2×Dic7⋊C4C2311yescharacteristic
275C2×Dic7⋊C4C2311yescharacteristic
276C2×Dic7⋊C4C2311yescharacteristic
277C2×Dic7⋊C4C2311yescharacteristic
278C2×Dic7⋊C4C2311yescharacteristic
279C2×Dic7⋊C4C2311yescharacteristic
280C2×Dic7⋊C4C2311yescharacteristic
281C2×Dic7⋊C4C2311yescharacteristic
282C2×Dic7⋊C4C2311yescharacteristic
283C2×Dic7⋊C4C2311yescharacteristic
284C2×Dic7⋊C4C2311yescharacteristic
285C2×Dic7⋊C4C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×C4×Dic7—42no—
290C2×C4×Dic7C2311yescharacteristic
291C2×C4×Dic7C2311yescharacteristic
292C2×C4×Dic7C2311yescharacteristic
293C2×C4×Dic7C2311yescharacteristic
294C2×C4×Dic7C2311yescharacteristic
295C2×C4×Dic7C2311yescharacteristic
296C2×C4×Dic7C2311yescharacteristic
297C2×C4×Dic7C2311yescharacteristic
298C2×C4×Dic7C2311yescharacteristic
299C2×C4×Dic7C2311yescharacteristic
300C2×C4×Dic7C2311yescharacteristic
301C2×C4×Dic7C2311yescharacteristic
302#6456—42no—
303#6455—42no—
304(C22⋊D7)⋊C4—24no—
305(C22⋊D7)⋊C4—42no—
306(C22⋊D7)⋊C4—42no—
307(C22⋊D7)⋊C4—42no—
308#6440—42no—
309#6440—42no—
310C7×#95C2311yescharacteristic
311C7×#95C2311yescharacteristic
312C7×#95C2311yescharacteristic
313C7×#95C2311yescharacteristic
314C7×#95C2311yescharacteristic
315C7×#95C2311yescharacteristic
316C7×#95C2311yescharacteristic
317C7×#95C2311yescharacteristic
318C7×#95C2311yescharacteristic
319C7×#95C2311yescharacteristic
320C7×#95C2311yescharacteristic
321C7×#95C2311yescharacteristic
322C7⋊#95C2311yescharacteristic
323C7⋊#95C2311yescharacteristic
324C7⋊#95C2311yescharacteristic
325C7⋊#95C2311yescharacteristic
326C7⋊#95C2311yescharacteristic
327C7⋊#95C2311yescharacteristic
328C7⋊#95C2311yescharacteristic
329C7⋊#95C2311yescharacteristic
330C7⋊#95C2311yescharacteristic
331C7⋊#95C2311yescharacteristic
332C7⋊#95C2311yescharacteristic
333C7⋊#95C2311yescharacteristic
334C7⋊#95C2311yescharacteristic
335C7⋊#95C2311yescharacteristic
336C7⋊#95C2311yescharacteristic
337C7⋊#95C2311yescharacteristic
338C7⋊#95C2311yescharacteristic
339C7⋊#95C2311yescharacteristic
340C7⋊#95C2311yescharacteristic
341C7⋊#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358#2833—71no—
359#2832—71no—
360#2831—71no—
361#2831—71no—
362#2830—71no—
363#2829—71no—
364#2829—71no—
365#2828—71no—
366#2827—71no—
367#2827—71no—
368#2826—71no—
369#2826—71no—
370#2825—71no—
371#2825—71no—
372#2824—71no—
373#2824D711yescharacteristic, complemented
374#2401—71no—
375#2401—71no—
376#2398—71no—
377#2398—71no—
378#2396—71no—
379#2395—71no—
380#2395—71no—
381#2392—71no—
382#2392—71no—
383#2392—71no—
384#2388—71no—
385#2388—71no—
386#2297—71no—
387#2290—71no—
388#2290—71no—
389C24×C7C2411yescharacteristic
390C24×C7C2411yescharacteristic
391C24×C7C2411yescharacteristic
392C23×D7C2411yescharacteristic
393C23×D7C2411yescharacteristic
394C2×C7×Q8—41no—
395C2×C7×Q8—41no—
396C2×C7×Q8—41no—
397C2×C7×D4—22no—
398C2×C7×D4—22no—
399C2×C7×D4—41no—
400C2×C7×D4—41no—
401C2×C7×D4—41no—
402C2×C7×D4—41no—
403C2×C7×D4—41no—
404C2×C7×D4—41no—
405C2×C7×D4—41no—
406C22×C4×C7—41no—
407C22×C4×C7—41no—
408C22×C4×C7—41no—
409C22×C4×C7C2411yescharacteristic
410C22×C4×C7C2411yescharacteristic
411C22×C4×C7C2411yescharacteristic
412C22×C4×C7C2411yescharacteristic
413C22×C4×C7C2411yescharacteristic
414C22×C4×C7C2411yescharacteristic
415C22×C4×C7C2411yescharacteristic
416C22×C4×C7C2411yescharacteristic
417C22×C4×C7C2411yescharacteristic
418C22×C4×C7C2411yescharacteristic
419C22×C4×C7C2411yescharacteristic
420C22×C4×C7C2411yescharacteristic
421C2×C22⋊D7—22no—
422C2×C22⋊D7—22no—
423C2×C22⋊D7—22no—
424C2×C22⋊D7—41no—
425C2×C22⋊D7—41no—
426C2×C22⋊D7—41no—
427C2×C22⋊D7—41no—
428C2×C22⋊D7—41no—
429C2×C22⋊D7—41no—
430C2×C22⋊D7—41no—
431C2×C22⋊D7—41no—
432C2×C22⋊D7—41no—
433C2×C22⋊D7—41no—
434C2×C22⋊D7—41no—
435C2×C22⋊D7—41no—
436C2×C22⋊D7—41no—
437C2×C22⋊D7—41no—
438C2×C22⋊D7—41no—
439C22×Dic7—22no—
440C22×Dic7—22no—
441C22×Dic7—22no—
442C22×Dic7—22no—
443C22×Dic7—22no—
444C22×Dic7—22no—
445C22×Dic7—22no—
446C22×Dic7—22no—
447C22×Dic7—41no—
448C22×Dic7—41no—
449C22×Dic7—41no—
450C22×Dic7#4114yes—
451C22×Dic7C2411yescharacteristic
452C22×Dic7C2411yescharacteristic
453C22×Dic7C2411yescharacteristic
454C22×Dic7C2411yescharacteristic
455C22×Dic7C2411yescharacteristic
456C22×Dic7C2411yescharacteristic
457C22×Dic7C2411yescharacteristic
458C22×Dic7C2411yescharacteristic
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465#1159—416no—
466C2×D28—41no—
467C2×D28—41no—
468C2×D28—41no—
469C2×C4×D7—22no—
470C2×C4×D7—22no—
471C2×C4×D7—22no—
472C2×C4×D7—22no—
473C2×C4×D7—22no—
474C2×C4×D7—22no—
475C2×Dic14—22no—
476C2×Dic14—41no—
477C2×Dic14—41no—
478C7×C4⋊C4—41no—
479C7×C4⋊C4—41no—
480C7×C4⋊C4—41no—
481C7×C4⋊C4—41no—
482C7×C22⋊C4—22no—
483C7×C22⋊C4—41no—
484C7×C22⋊C4—41no—
485C7×C22⋊C4—41no—
486C7×C22⋊C4—41no—
487C7×C22⋊C4—41no—
488C7×C22⋊C4—41no—
489C7×C22⋊C4—41no—
490C7×C22⋊C4—41no—
491C7×C22⋊C4—41no—
492C7×C22⋊C4—41no—
493C7×C22⋊C4—41no—
494C7×C22⋊C4—41no—
495C7×C22⋊C4—41no—
496C22⋊Dic7—22no—
497C22⋊Dic7—22no—
498C22⋊Dic7—41no—
499C22⋊Dic7—41no—
500C22⋊Dic7—41no—
501C22⋊Dic7—41no—
502C22⋊Dic7—41no—
503C22⋊Dic7—41no—
504C22⋊Dic7—41no—
505C22⋊Dic7—41no—
506C22⋊Dic7—41no—
507C22⋊Dic7—41no—
508C22⋊Dic7—41no—
509C22⋊Dic7—41no—
510(C2×D7)⋊C4—22no—
511(C2×D7)⋊C4—41no—
512(C2×D7)⋊C4—41no—
513(C2×D7)⋊C4—41no—
514(C2×D7)⋊C4—41no—
515(C2×D7)⋊C4—41no—
516(C2×D7)⋊C4—41no—
517(C2×D7)⋊C4—41no—
518(C2×D7)⋊C4—41no—
519(C2×D7)⋊C4—41no—
520(C2×D7)⋊C4—41no—
521(C2×D7)⋊C4—41no—
522(C2×D7)⋊C4—41no—
523(C2×D7)⋊C4—41no—
524(C2×D7)⋊C4—41no—
525(C2×D7)⋊C4—41no—
526(C2×D7)⋊C4—41no—
527(C2×D7)⋊C4—41no—
528(C2×D7)⋊C4—41no—
529(C2×D7)⋊C4—41no—
530C4⋊Dic7—22no—
531C4⋊Dic7—41no—
532C4⋊Dic7—41no—
533C4⋊Dic7—41no—
534C4⋊Dic7—41no—
535C4⋊Dic7—41no—
536C4⋊Dic7—41no—
537C4⋊Dic7—41no—
538Dic7⋊C4—22no—
539Dic7⋊C4—41no—
540Dic7⋊C4—41no—
541Dic7⋊C4—41no—
542Dic7⋊C4—41no—
543Dic7⋊C4—41no—
544Dic7⋊C4—41no—
545Dic7⋊C4—41no—
546Dic7⋊C4—41no—
547Dic7⋊C4—41no—
548Dic7⋊C4—41no—
549Dic7⋊C4—41no—
550Dic7⋊C4—41no—
551Dic7⋊C4—41no—
552Dic7⋊C4—41no—
553Dic7⋊C4—41no—
554C4×Dic7—22no—
555C4×Dic7—22no—
556C4×Dic7—22no—
557C4×Dic7—22no—
558C4×Dic7—22no—
559C4×Dic7—22no—
560C4×Dic7—22no—
561C4×Dic7—22no—
562C4×Dic7—22no—
563C4×Dic7—22no—
564C4×Dic7—41no—
565C4×Dic7—41no—
566C22×#41—71no—
567C2×C4×Q8—71no—
568C2×C4×D4—71no—
569C2×C4×D4—71no—
570C2×C4×D4—71no—
571C2×C4×D4—71no—
572C2×C4×D4—71no—
573C2×C4×D4—71no—
574C2×C4×D4—71no—
575C2×#117—71no—
576C2×#117—71no—
577C2×#117—71no—
578C22×C42—71no—
579#401—71no—
580#401—71no—
581#400—71no—
582#400—71no—
583#400—71no—
584#400—71no—
585#400—71no—
586#400—71no—
587#400—71no—
588#400—71no—
589#400—71no—
590#400—71no—
591#400—71no—
592#400C2×D711yescharacteristic
593#400C2×D711yescharacteristic
594#399—71no—
595#399—71no—
596#399—71no—
597#398—71no—
598#398—71no—
599#398—71no—
600#398—71no—
601#398—71no—
602#398—71no—
603#398—71no—
604#397—71no—
605#397—71no—
606#397—71no—
607#397—71no—
608#397—71no—
609#397—71no—
610#397—71no—
611#397—71no—
612#397—71no—
613#397—71no—
614#397—71no—
615#397—71no—
616#397—71no—
617#397—71no—
618#397—71no—
619#397—71no—
620#397—71no—
621#397C2×D711yescharacteristic
622#397C2×D711yescharacteristic
623#396—71no—
624#396—71no—
625#396—71no—
626#396—71no—
627#396—71no—
628#396—71no—
629#396—71no—
630#396—71no—
631#396—71no—
632#396—71no—
633#395—71no—
634#395—71no—
635#395—71no—
636#394—71no—
637#394—71no—
638#394—71no—
639#394—71no—
640#394—71no—
641#394—71no—
642#394—71no—
643#394—71no—
644#394—71no—
645#394—71no—
646#394—71no—
647#394—71no—
648#394—71no—
649#394—71no—
650#394—71no—
651#394—71no—
652#394—71no—
653#394—71no—
654#394—71no—
655#394C2×D711yescharacteristic
656#394C2×D711yescharacteristic
657#394C2×D711yescharacteristic
658#394C2×D711yescharacteristic
659#393—71no—
660#393—71no—
661#393—71no—
662#393—71no—
663#393C2×D711yescharacteristic
664#393C2×D711yescharacteristic
665#393C2×D711yescharacteristic
666#392—71no—
667#392—71no—
668#392—71no—
669#392—71no—
670#392—71no—
671#392—71no—
672#392—71no—
673#392—71no—
674#392C2×D711yescharacteristic
675#391—71no—
676#391—71no—
677#390—71no—
678#390—71no—
679#388—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#387—71no—
684#387—71no—
685#387—71no—
686#387—71no—
687#386—71no—
688#386—71no—
689#386—71no—
690#386—71no—
691#386—71no—
692#386—71no—
693#386C2×D711yescharacteristic
694#386C2×D711yescharacteristic
695#385—71no—
696#385—71no—
697#385—71no—
698#385C2×D711yescharacteristic
699C4×C4⋊C4—71no—
700C4×C4⋊C4—71no—
701C4×C4⋊C4—71no—
702C4×C4⋊C4—71no—
703C4×C4⋊C4—71no—
704C4×C4⋊C4—71no—
705C4×C22⋊C4—71no—
706C4×C22⋊C4—71no—
707C4×C22⋊C4—71no—
708C4×C22⋊C4—71no—
709C4×C22⋊C4—71no—
710C4×C22⋊C4—71no—
711C4×C22⋊C4—71no—
712C4×C22⋊C4—71no—
713C4×C22⋊C4—71no—
714C4×C22⋊C4—71no—
715C4×C22⋊C4—71no—
716C4×C22⋊C4—71no—
717C4×C22⋊C4—71no—
718C4×C22⋊C4—71no—
719#376—71no—
720#376—71no—
721C23×C7—21no—
722C23×C7—21no—
723C23×C7—21no—
724C23×C7—21no—
725C23×C7—21no—
726C23×C7—21no—
727C23×C7—21no—
728C23×C7—21no—
729C23×C7—21no—
730C23×C7—21no—
731C23×C7—21no—
732C23×C7—21no—
733C23×C7—21no—
734C23×C7—21no—
735C23×C7—21no—
736C23×C7—21no—
737C23×C7—21no—
738C23×C7—21no—
739C23×C7—21no—
740C23×C7—21no—
741C23×C7C2×#4112yes—
742C23×C7C2511yescharacteristic
743C22×D7—21no—
744C22×D7—21no—
745C22×D7—21no—
746C22×D7—21no—
747C22×D7—21no—
748C22×D7—21no—
749C22×D7—21no—
750C22×D7—21no—
751C22×D7—21no—
752C22×D7—21no—
753C22×D7—21no—
754C22×D7—21no—
755C22×D7—21no—
756C22×D7—21no—
757C7×Q8—44no—
758C7×D4—44no—
759C7×D4—44no—
760C7×D4—44no—
761C2×C4×C7—21no—
762C2×C4×C7—21no—
763C2×C4×C7—21no—
764C2×C4×C7—21no—
765C2×C4×C7—21no—
766C2×C4×C7—21no—
767C2×C4×C7—21no—
768C2×C4×C7—21no—
769C2×C4×C7—21no—
770C2×C4×C7—21no—
771C2×C4×C7—21no—
772C2×C4×C7—21no—
773C2×C4×C7—21no—
774C2×C4×C7—21no—
775C2×C4×C7—21no—
776C2×C4×C7—21no—
777C2×C4×C7—21no—
778C2×C4×C7—21no—
779C2×C4×C7—21no—
780C2×C4×C7—21no—
781C2×C4×C7—21no—
782C2×C4×C7—21no—
783C2×C4×C7—21no—
784C2×C4×C7—21no—
785C2×C4×C7—21no—
786C2×C4×C7—21no—
787C2×C4×C7—21no—
788C2×C4×C7—21no—
789C2×C4×C7—21no—
790C2×C4×C7—21no—
791C2×C4×C7—21no—
792C2×C4×C7—21no—
793C2×C4×C7—21no—
794C2×C4×C7—21no—
795C2×C4×C7—21no—
796C2×C4×C7—21no—
797C2×C4×C7—44no—
798C22⋊D7—44no—
799C22⋊D7—44no—
800C22⋊D7—44no—
801C22⋊D7—44no—
802C22⋊D7—44no—
803C22⋊D7—44no—
804C2×Dic7—21no—
805C2×Dic7—21no—
806C2×Dic7—28no—
807C2×Dic7—21no—
808C2×Dic7—21no—
809C2×Dic7—21no—
810C2×Dic7—21no—
811C2×Dic7—21no—
812C2×Dic7—21no—
813C2×Dic7—21no—
814C2×Dic7—21no—
815C2×Dic7—21no—
816C2×Dic7—21no—
817C2×Dic7—21no—
818C2×Dic7—21no—
819C2×Dic7—21no—
820C2×Dic7—21no—
821C2×Dic7—21no—
822C2×Dic7—21no—
823C2×Dic7—21no—
824C2×Dic7—21no—
825C2×Dic7—21no—
826C2×Dic7—21no—
827C2×Dic7—21no—
828C2×Dic7—21no—
829C2×Dic7—21no—
830C2×Dic7—21no—
831C2×Dic7—21no—
832C2×Dic7—21no—
833C2×Dic7—21no—
834C2×Dic7—21no—
835C2×Dic7—21no—
836C2×Dic7—21no—
837C2×Dic7—21no—
838C2×Dic7—21no—
839C2×Dic7—21no—
840C2×Dic7—21no—
841C2×Dic7—21no—
842C2×Dic7—21no—
843C2×Dic7—44no—
844C2×Dic7—44no—
845C2×Dic7—44no—
846C2×Dic7C2×#4112yes—
847C2×Dic7C2×#4112yes—
848C2×Dic7H(5,𝔽2)12yes—
849C2×Dic7H(5,𝔽2)12yes—
850D28—44no—
851C4×D7—44no—
852C4×D7—44no—
853Dic14—44no—
854C2×#41—144no—
855C2×#41—282no—
856C2×#41—282no—
857C22×Q8—71no—
858C22×Q8C22×D711yescharacteristic
859C22×D4—71no—
860C22×D4—71no—
861C22×D4—71no—
862C22×D4—71no—
863C22×D4—71no—
864C22×D4—71no—
865C22×D4—71no—
866C22×D4C22×D711yescharacteristic
867C22×D4C22×D711yescharacteristic
868C22×D4C22×D711yescharacteristic
869C23×C4—71no—
870C23×C4—71no—
871C23×C4—71no—
872C23×C4—71no—
873C23×C4—71no—
874C23×C4—71no—
875C23×C4C22×D711yescharacteristic
876C4×Q8—282no—
877C4×D4—144no—
878C4×D4—144no—
879C4×D4—282no—
880C4×D4—282no—
881C4×D4—282no—
882C4×D4—282no—
883C4×D4—282no—
884#117—282no—
885#117—282no—
886#117—282no—
887C2×C4⋊C4—71no—
888C2×C4⋊C4—71no—
889C2×C4⋊C4—71no—
890C2×C4⋊C4—71no—
891C2×C4⋊C4—71no—
892C2×C4⋊C4—71no—
893C2×C4⋊C4—71no—
894C2×C4⋊C4—71no—
895C2×C4⋊C4—71no—
896C2×C4⋊C4—71no—
897C2×C4⋊C4—71no—
898C2×C4⋊C4—71no—
899C2×C4⋊C4—71no—
900C2×C4⋊C4—71no—
901C2×C4⋊C4—71no—
902C2×C4⋊C4—71no—
903C2×C4⋊C4—71no—
904C2×C4⋊C4—71no—
905C2×C4⋊C4—71no—
906C2×C4⋊C4—71no—
907C2×C4⋊C4—71no—
908C2×C4⋊C4—71no—
909C2×C4⋊C4—71no—
910C2×C4⋊C4—71no—
911C2×C4⋊C4C22×D711yescharacteristic
912C2×C4⋊C4C22×D711yescharacteristic
913C2×C4⋊C4C22×D711yescharacteristic
914C2×C4⋊C4C22×D711yescharacteristic
915C2×C22⋊C4—71no—
916C2×C22⋊C4—71no—
917C2×C22⋊C4—71no—
918C2×C22⋊C4—71no—
919C2×C22⋊C4—71no—
920C2×C22⋊C4—71no—
921C2×C22⋊C4—71no—
922C2×C22⋊C4—71no—
923C2×C22⋊C4—71no—
924C2×C22⋊C4—71no—
925C2×C22⋊C4—71no—
926C2×C22⋊C4—71no—
927C2×C22⋊C4—71no—
928C2×C22⋊C4—71no—
929C2×C22⋊C4—71no—
930C2×C22⋊C4—71no—
931C2×C22⋊C4—71no—
932C2×C22⋊C4—71no—
933C2×C22⋊C4—71no—
934C2×C22⋊C4—71no—
935C2×C22⋊C4—71no—
936C2×C22⋊C4—71no—
937C2×C22⋊C4—71no—
938C2×C22⋊C4—71no—
939C2×C22⋊C4—71no—
940C2×C22⋊C4—71no—
941C2×C22⋊C4—71no—
942C2×C22⋊C4—71no—
943C2×C22⋊C4—71no—
944C2×C22⋊C4—71no—
945C2×C22⋊C4—71no—
946C2×C22⋊C4—71no—
947C2×C22⋊C4—71no—
948C2×C22⋊C4—71no—
949C2×C22⋊C4C22×D711yescharacteristic
950C2×C22⋊C4C22×D711yescharacteristic
951C2×C22⋊C4C22×D711yescharacteristic
952C2×C22⋊C4C22×D711yescharacteristic
953C2×C22⋊C4C22×D711yescharacteristic
954C2×C22⋊C4C22×D711yescharacteristic
955C2×C22⋊C4C22×D711yescharacteristic
956C2×C22⋊C4C22×D711yescharacteristic
957C2×C22⋊C4C22×D711yescharacteristic
958C2×C22⋊C4C22×D711yescharacteristic
959C2×C22⋊C4C22×D711yescharacteristic
960C2×C22⋊C4C22×D711yescharacteristic
961C2×C22⋊C4C22×D711yescharacteristic
962C2×C22⋊C4C22×D711yescharacteristic
963C2×C42—71no—
964C2×C42—71no—
965C2×C42—71no—
966C2×C42—71no—
967C2×C42—71no—
968C2×C42—71no—
969C2×C42—71no—
970C2×C42—71no—
971C2×C42—71no—
972C2×C42—71no—
973C2×C42—71no—
974C2×C42—71no—
975C2×C42—282no—
976#95—71no—
977#95—71no—
978#95—71no—
979#95—71no—
980#95—71no—
981#95—71no—
982#95—71no—
983#95—71no—
984#95—71no—
985#95—71no—
986#95—71no—
987#95—71no—
988#95—71no—
989#95—71no—
990#95—71no—
991#95—71no—
992#95—71no—
993#95—71no—
994#95—71no—
995#95—71no—
996#95—71no—
997#95—71no—
998#95—71no—
999#95—71no—
1000#95—71no—
1001#95—71no—
1002#95—71no—
1003#95—71no—
1004#95—71no—
1005#95—71no—
1006#95—71no—
1007#95—71no—
1008#95—71no—
1009#95—71no—
1010#95—71no—
1011#95—71no—
1012#95C22×D711yescharacteristic
1013#95C22×D711yescharacteristic
1014#95C22×D711yescharacteristic
1015#95C22×D711yescharacteristic
1016#95C22×D711yescharacteristic
1017#95C22×D711yescharacteristic
1018#95C22×D711yescharacteristic
1019#95C22×D711yescharacteristic
1020#95C22×D711yescharacteristic
1021#95C22×D711yescharacteristic
1022#95C22×D711yescharacteristic
1023#95C22×D711yescharacteristic
1024C22×C7—22no—
1025C22×C7—22no—
1026C22×C7—22no—
1027C22×C7—41no—
1028C22×C7—41no—
1029C22×C7—41no—
1030C22×C7—41no—
1031C22×C7—41no—
1032C22×C7—41no—
1033C22×C7—41no—
1034C22×C7—41no—
1035C22×C7—41no—
1036C22×C7—41no—
1037C22×C7—41no—
1038C22×C7—41no—
1039C22×C7—41no—
1040C22×C7—41no—
1041C22×C7—41no—
1042C22×C7—41no—
1043C22×C7—41no—
1044C22×C7—41no—
1045C22×C7C22×#4111yescharacteristic
1046C22×C7C2×H(5,𝔽2)11yescharacteristic
1047C22×C7C2×H(5,𝔽2)11yescharacteristic
1048C22×C7#58511yescharacteristic
1049C22×C7#58511yescharacteristic
1050C22×C7#58511yescharacteristic
1051C22×C7#58511yescharacteristic
1052C2×D7—41no—
1053C2×D7—41no—
1054C2×D7—41no—
1055C2×D7—41no—
1056C2×D7—41no—
1057C2×D7—41no—
1058C2×D7—41no—
1059C2×D7—41no—
1060C2×D7—41no—
1061C2×D7—41no—
1062C2×D7—41no—
1063C2×D7—41no—
1064C2×D7—41no—
1065C2×D7—41no—
1066C4×C7—41no—
1067C4×C7—41no—
1068C4×C7—41no—
1069C4×C7—41no—
1070C4×C7—41no—
1071C4×C7—41no—
1072C4×C7—41no—
1073C4×C7—41no—
1074C4×C7—41no—
1075C4×C7—41no—
1076C4×C7—41no—
1077C4×C7—41no—
1078Dic7—22no—
1079Dic7—41no—
1080Dic7—41no—
1081Dic7—41no—
1082Dic7—41no—
1083Dic7—41no—
1084Dic7—41no—
1085Dic7—41no—
1086Dic7—41no—
1087Dic7—41no—
1088Dic7—41no—
1089Dic7—41no—
1090Dic7—41no—
1091Dic7#53814yes—
1092C24—71no—
1093C24—71no—
1094C24C23×D711yescharacteristic
1095C24C23×D711yescharacteristic
1096C24C23×D711yescharacteristic
1097#41—2816no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×Q8—142no—
1102C2×Q8—281no—
1103C2×Q8—281no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—142no—
1114C2×D4—142no—
1115C2×D4—142no—
1116C2×D4—281no—
1117C2×D4—281no—
1118C2×D4—281no—
1119C2×D4—281no—
1120C2×D4—281no—
1121C2×D4—281no—
1122C2×D4—281no—
1123C2×D4—281no—
1124C2×D4—281no—
1125C2×D4—281no—
1126C2×D4—281no—
1127C2×D4—281no—
1128C2×D4—281no—
1129C2×D4—281no—
1130C2×D4—281no—
1131C2×D4—281no—
1132C2×D4—281no—
1133C2×D4—281no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—71no—
1138C22×C4—74no—
1139C22×C4—71no—
1140C22×C4—71no—
1141C22×C4—71no—
1142C22×C4—71no—
1143C22×C4—71no—
1144C22×C4—71no—
1145C22×C4—71no—
1146C22×C4—71no—
1147C22×C4—71no—
1148C22×C4—71no—
1149C22×C4—71no—
1150C22×C4—71no—
1151C22×C4—71no—
1152C22×C4—142no—
1153C22×C4—142no—
1154C22×C4—142no—
1155C22×C4—142no—
1156C22×C4—142no—
1157C22×C4—142no—
1158C22×C4—142no—
1159C22×C4—142no—
1160C22×C4—142no—
1161C22×C4—142no—
1162C22×C4—142no—
1163C22×C4—142no—
1164C22×C4—142no—
1165C22×C4—142no—
1166C22×C4—281no—
1167C22×C4—281no—
1168C22×C4—281no—
1169C22×C4C23×D711yescharacteristic
1170C22×C4C23×D711yescharacteristic
1171C22×C4C23×D711yescharacteristic
1172C22×C4C23×D711yescharacteristic
1173C22×C4C23×D711yescharacteristic
1174C22×C4C23×D711yescharacteristic
1175C22×C4C23×D711yescharacteristic
1176C22×C4C23×D711yescharacteristic
1177C22×C4C23×D711yescharacteristic
1178C22×C4C23×D711yescharacteristic
1179C22×C4C23×D711yescharacteristic
1180C22×C4C23×D711yescharacteristic
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—142no—
1186C4⋊C4—142no—
1187C4⋊C4—281no—
1188C4⋊C4—281no—
1189C4⋊C4—281no—
1190C4⋊C4—281no—
1191C4⋊C4—281no—
1192C4⋊C4—281no—
1193C4⋊C4—281no—
1194C4⋊C4—281no—
1195C4⋊C4—281no—
1196C4⋊C4—281no—
1197C4⋊C4—281no—
1198C4⋊C4—281no—
1199C4⋊C4—281no—
1200C4⋊C4—281no—
1201C4⋊C4—281no—
1202C4⋊C4—281no—
1203C4⋊C4—281no—
1204C4⋊C4—281no—
1205C4⋊C4—281no—
1206C4⋊C4—281no—
1207C4⋊C4—281no—
1208C4⋊C4—281no—
1209C22⋊C4—22no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—142no—
1224C22⋊C4—142no—
1225C22⋊C4—142no—
1226C22⋊C4—281no—
1227C22⋊C4—281no—
1228C22⋊C4—281no—
1229C22⋊C4—281no—
1230C22⋊C4—281no—
1231C22⋊C4—281no—
1232C22⋊C4—281no—
1233C22⋊C4—281no—
1234C22⋊C4—281no—
1235C22⋊C4—281no—
1236C22⋊C4—281no—
1237C22⋊C4—281no—
1238C22⋊C4—281no—
1239C22⋊C4—281no—
1240C22⋊C4—281no—
1241C22⋊C4—281no—
1242C22⋊C4—281no—
1243C22⋊C4—281no—
1244C22⋊C4—281no—
1245C22⋊C4—281no—
1246C22⋊C4—281no—
1247C22⋊C4—281no—
1248C22⋊C4—281no—
1249C22⋊C4—281no—
1250C22⋊C4—281no—
1251C22⋊C4—281no—
1252C22⋊C4—281no—
1253C22⋊C4—281no—
1254C22⋊C4—281no—
1255C22⋊C4—281no—
1256C22⋊C4—281no—
1257C42—142no—
1258C42—142no—
1259C42—142no—
1260C42—142no—
1261C42—142no—
1262C42—142no—
1263C42—142no—
1264C42—142no—
1265C42—142no—
1266C42—142no—
1267C42—281no—
1268C42—281no—
1269C2×C7—42no—
1270C2×C7—81no—
1271C2×C7—81no—
1272C2×C7C2×#53811yescharacteristic
1273C2×C7#345511yescharacteristic
1274C2×C7#345511yescharacteristic
1275C2×C7#352911yescharacteristic
1276C2×C7#352911yescharacteristic
1277C2×C7#352911yescharacteristic
1278C2×C7#352911yescharacteristic
1279D7—81no—
1280D7—81no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—141no—
1302C23—141no—
1303C23—141no—
1304C23—141no—
1305C23—141no—
1306C23—141no—
1307C23—141no—
1308C23—141no—
1309C23—141no—
1310C23—141no—
1311C23—141no—
1312C23—141no—
1313C23—141no—
1314C23—141no—
1315C23D7×#4112yes—
1316C23C24×D711yescharacteristic
1317Q8—44no—
1318Q8—284no—
1319D4—44no—
1320D4—44no—
1321D4—44no—
1322D4—284no—
1323D4—284no—
1324D4—284no—
1325D4—284no—
1326D4—284no—
1327D4—284no—
1328D4—284no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—44no—
1366C2×C4—72no—
1367C2×C4—72no—
1368C2×C4—72no—
1369C2×C4—72no—
1370C2×C4—148no—
1371C2×C4—141no—
1372C2×C4—141no—
1373C2×C4—141no—
1374C2×C4—141no—
1375C2×C4—141no—
1376C2×C4—141no—
1377C2×C4—141no—
1378C2×C4—141no—
1379C2×C4—141no—
1380C2×C4—141no—
1381C2×C4—141no—
1382C2×C4—141no—
1383C2×C4—141no—
1384C2×C4—141no—
1385C2×C4—141no—
1386C2×C4—141no—
1387C2×C4—141no—
1388C2×C4—141no—
1389C2×C4—141no—
1390C2×C4—141no—
1391C2×C4—141no—
1392C2×C4—141no—
1393C2×C4—141no—
1394C2×C4—141no—
1395C2×C4—141no—
1396C2×C4—141no—
1397C2×C4—141no—
1398C2×C4—141no—
1399C2×C4—141no—
1400C2×C4—141no—
1401C2×C4—141no—
1402C2×C4—141no—
1403C2×C4—141no—
1404C2×C4—141no—
1405C2×C4—141no—
1406C2×C4—141no—
1407C2×C4—141no—
1408C2×C4—141no—
1409C2×C4—284no—
1410C2×C4—284no—
1411C2×C4—284no—
1412C2×C4—284no—
1413C2×C4—284no—
1414C7#3667011yescharacteristic, complemented, Sylow
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—281no—
1437C22—281no—
1438C22—281no—
1439C22—281no—
1440C22—281no—
1441C22—281no—
1442C22—281no—
1443C22—281no—
1444C22—281no—
1445C22—281no—
1446C22—281no—
1447C22—281no—
1448C22—281no—
1449C22—281no—
1450C22C2×D7×#4111yescharacteristic
1451C22D7×H(5,𝔽2)11yescharacteristic
1452C22D7×H(5,𝔽2)11yescharacteristic
1453C22#9061811yescharacteristic
1454C22#9061811yescharacteristic
1455C22#9061811yescharacteristic
1456C22#9062011yescharacteristic
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—74no—
1470C4—142no—
1471C4—281no—
1472C4—281no—
1473C4—281no—
1474C4—281no—
1475C4—281no—
1476C4—281no—
1477C4—281no—
1478C4—281no—
1479C4—281no—
1480C4—281no—
1481C4—281no—
1482C4—281no—
1483C2—42no—
1484C2—81no—
1485C2—81no—
1486C2—561no—
1487C2—561no—
1488C2#1174345511yescharacteristic
1489C2D7×#53811yescharacteristic
1490C2#1174349511yescharacteristic
1491C2#1174413811yescharacteristic
1492C2#1174415311yescharacteristic
1493C2#1174416111yescharacteristic
1494C2#1174416111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2824C2
hypercenter#2824D7
hypocenterC7#36670
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2824

Complements

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

NH ≅ G/Ntype
1. C7×#2824C2semidirect
2. #11735769C2semidirect
3. #11735765C2semidirect
4. #11735577C2semidirect
5. #11735574C2semidirect
6. #11735100C2semidirect
7. #11735096C2semidirect
8. #11734906C2semidirect
9. #11734902C2semidirect
10. #11734541C2semidirect
11. #11734538C2semidirect
12. #11734537C2semidirect
13. #11734535C2semidirect
14. #11734337C2semidirect
15. #11734336C2semidirect
16. #11734335C2semidirect
17. #11734334C2semidirect
18. #11734331C2semidirect
19. #11734303C2semidirect
20. #11734300C2semidirect
21. #11734224C2semidirect
22. #11734224C2semidirect
23. #11734223C2semidirect
24. #11734192C2semidirect
25. #11734110C2semidirect
26. #11732379C2semidirect
27. #11732312C2semidirect
28. #11732103C2semidirect
29. #11732102C2semidirect
30. #11732098C2semidirect
31. #11731822C2semidirect
373. #2824D7semidirect
1414. C7#36670semidirect

Maximal subgroups

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

subgroupindex
C7×#28242
#117357692
#117357652
#117355772
#117355742
#117351002
#117350962
#117349062
#117349022
#117345412
#117345382
#117345372
#117345352
#117343372
#117343362
#117343352
#117343342
#117343312
#117343032
#117343002
#117342242
#117342232
#117341922
#117341102
#117323792
#117323122
#117321032
#117321022
#117320982
#117318222
#366707