Finite Group Databasebeta

← #14216885

Subgroups — #14216885

Order 1792.

2184 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2587C211yesmaximal, characteristic, complemented
2#11735648C211yesmaximal, characteristic, complemented
3#11735647C211yesmaximal, characteristic, complemented
4#11735402C211yesmaximal, characteristic, complemented
5#11735247C211yesmaximal, characteristic, complemented
6#11734887C211yesmaximal, characteristic, complemented
7#11734875C211yesmaximal, characteristic, complemented
8#11734753C211yesmaximal, characteristic, complemented
9#11734737C211yesmaximal, characteristic, complemented
10#11733671C211yesmaximal, characteristic, complemented
11#11733649C211yesmaximal, characteristic, complemented
12#11733541C211yesmaximal, characteristic, complemented
13#11733520C211yesmaximal, characteristic, complemented
14#11733495C211yesmaximal, characteristic, complemented
15#11733430C211yesmaximal, characteristic, complemented
16#11733361C211yesmaximal, characteristic, complemented
17#11733358C211yesmaximal, characteristic, complemented
18#11733283C211yesmaximal, characteristic, complemented
19#11732927C211yesmaximal, characteristic, complemented
20#11732803C211yesmaximal, characteristic, complemented
21#11732768C211yesmaximal, characteristic, complemented
22#11732568C211yesmaximal, characteristic, complemented
23#11732491C211yesmaximal, characteristic, complemented
24#11732063C211yesmaximal, characteristic, complemented
25#11731941C211yesmaximal, characteristic, complemented
26#11731824C211yesmaximal, characteristic, complemented
27#11731824C211yesmaximal, characteristic, complemented
28#11731100C211yesmaximal, characteristic, complemented
29#11731094C211yesmaximal, characteristic, complemented
30#11731047C211yesmaximal, characteristic, complemented
31C4×#6445C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C4×C22⋊D7C2211yescharacteristic
34C2×#6458C2211yescharacteristic
35C2×#6458C2211yescharacteristic
36C2×#6458C2211yescharacteristic, complemented
37C2×#6457C2211yescharacteristic
38C2×#6457C2211yescharacteristic, complemented
39C2×#6457C2211yescharacteristic, complemented
40C2×#6456C2211yescharacteristic
41C2×#6456C2211yescharacteristic
42C2×#6456C2211yescharacteristic
43C2×#6456C2211yescharacteristic
44C2×#6455C2211yescharacteristic, complemented
45C2×#6455C2211yescharacteristic, complemented
46C2×#6448C2211yescharacteristic
47C2×#6446C2211yescharacteristic
48C2×#6445C2211yescharacteristic
49C2×#6445C2211yescharacteristic
50C2×#6445C2211yescharacteristic
51C2×(C22⋊D7)⋊C4C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic
53C2×#6438C2211yescharacteristic
54C2×C4×D28C2211yescharacteristic
55C2×C4×D28C2211yescharacteristic
56C2×C4×Dic14C2211yescharacteristic, complemented
57C7×#400C2211yescharacteristic, complemented
58C7×#398C2211yescharacteristic, complemented
59C7×#396C2211yescharacteristic
60C7×#396C2211yescharacteristic
61C7×#389C2211yescharacteristic, complemented
62C7×#389C2211yescharacteristic, complemented
63C7×#389C2211yescharacteristic, complemented
64C7×#388C2211yescharacteristic
65C7×#388C2211yescharacteristic
66C7×#387C2211yescharacteristic, complemented
67C7×#387C2211yescharacteristic, complemented
68C7×#385C2211yescharacteristic
69C7×#385C2211yescharacteristic
70C4×C7×C4⋊C4C2211yescharacteristic, complemented
71C4×C7×C22⋊C4C2211yescharacteristic
72#89985C2211yescharacteristic
73#89985C2211yescharacteristic
74#89766C2211yescharacteristic
75#89766C2211yescharacteristic
76#89765C2211yescharacteristic
77#89765C2211yescharacteristic
78#89764C2211yescharacteristic
79#89764C2211yescharacteristic, complemented
80#89763C2211yescharacteristic
81#89763C2211yescharacteristic
82#89763C2211yescharacteristic
83#89763C2211yescharacteristic, complemented
84#89762C2211yescharacteristic
85#89762C2211yescharacteristic
86#89762C2211yescharacteristic
87#89762C2211yescharacteristic, complemented
88#89762C2211yescharacteristic, complemented
89#89762C2211yescharacteristic, complemented
90#89762C2211yescharacteristic, complemented
91#89762C2211yescharacteristic, complemented
92#89762C2211yescharacteristic, complemented
93#89761C2211yescharacteristic
94#89761C2211yescharacteristic
95#89761C2211yescharacteristic
96#89761C2211yescharacteristic
97#89761C2211yescharacteristic, complemented
98#89761C2211yescharacteristic, complemented
99#89760C2211yescharacteristic
100#89760C2211yescharacteristic
101#89760C2211yescharacteristic, complemented
102#89757C2211yescharacteristic, complemented
103#89753C2211yescharacteristic, complemented
104#89750C2211yescharacteristic, complemented
105#89750C2211yescharacteristic, complemented
106#89750C2211yescharacteristic, complemented
107#89749C2211yescharacteristic, complemented
108C4⋊C4×Dic7C2211yescharacteristic, complemented
109#89745C2211yescharacteristic, complemented
110#89733C2211yescharacteristic
111#89733C2211yescharacteristic
112#89732C2211yescharacteristic
113#89732C2211yescharacteristic
114#89732C2211yescharacteristic
115#89730C2211yescharacteristic
116#89729C2211yescharacteristic
117#89728C2211yescharacteristic
118#89727C2211yescharacteristic
119#89727C2211yescharacteristic
120#89727C2211yescharacteristic
121#89725C2211yescharacteristic
122#89722C2211yescharacteristic
123#89717C2211yescharacteristic
124#89716C2211yescharacteristic
125C22⋊C4×Dic7C2211yescharacteristic
126C22⋊C4×Dic7C2211yescharacteristic
127#89712C2211yescharacteristic, complemented
128#89711C2211yescharacteristic
129#89711C2211yescharacteristic
130#89711C2211yescharacteristic
131#89711C2211yescharacteristic, complemented
132C4×(C2×D7)⋊C4C2211yescharacteristic
133C4×(C2×D7)⋊C4C2211yescharacteristic
134C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
135C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
136C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
137C4×C4⋊Dic7C2211yescharacteristic, complemented
138#89701C2211yescharacteristic, complemented
139#89447C2211yescharacteristic
140#89447C2211yescharacteristic, complemented
141#89446C2211yescharacteristic
142#89446C2211yescharacteristic, complemented
143#89445C2211yescharacteristic
144#89445C2211yescharacteristic, complemented
145#89444C2211yescharacteristic
146#89443C2211yescharacteristic
147#89443C2211yescharacteristic
148#89443C2211yescharacteristic
149#89443C2211yescharacteristic
150#89442C2211yescharacteristic
151#89442C2211yescharacteristic
152#89442C2211yescharacteristic, complemented
153#89442C2211yescharacteristic, complemented
154#89442C2211yescharacteristic, complemented
155#89441C2211yescharacteristic
156#89441C2211yescharacteristic, complemented
157#89441C2211yescharacteristic, complemented
158#89440C2211yescharacteristic
159#89440C2211yescharacteristic
160#89440C2211yescharacteristic, complemented
161#89440C2211yescharacteristic, complemented
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic
164#89438C2211yescharacteristic
165#89438C2211yescharacteristic
166#89438C2211yescharacteristic, complemented
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89437C2211yescharacteristic, complemented
178D7×#95C2211yescharacteristic, complemented
179#89432C2211yescharacteristic, complemented
180#89426C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89423C2211yescharacteristic, complemented
183#89423C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#60033—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C23×C4×C7C2311yescharacteristic
190C22×C22⋊D7C2311yescharacteristic
191C22×C22⋊D7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C23×Dic7C2311yescharacteristic
194C22×D28C2311yescharacteristic
195C22×D28C2311yescharacteristic
196C22×D28C2311yescharacteristic
197C22×D28C2311yescharacteristic
198C22×D28C2311yescharacteristic
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×C4×D7—42no—
204C22×C4×D7—42no—
205C22×C4×D7—42no—
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
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×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C4×C22⋊D7—42no—
242C2×(C2×D7)⋊C4C2311yescharacteristic
243C2×(C2×D7)⋊C4C2311yescharacteristic
244C2×(C2×D7)⋊C4C2311yescharacteristic
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×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×C4×Dic7C2311yescharacteristic
299C2×C4×Dic7C2311yescharacteristic
300C2×C4×Dic7C2311yescharacteristic
301C2×C4×Dic7C2311yescharacteristic
302C2×C4×Dic7C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309#6458—24no—
310#6458—24no—
311#6458—42no—
312#6457—24no—
313#6457—42no—
314#6457—42no—
315#6456—42no—
316#6456—42no—
317#6456—42no—
318#6456—42no—
319#6455—42no—
320#6455—42no—
321#6448—24no—
322#6446—24no—
323#6445—24no—
324#6445—24no—
325#6445—24no—
326(C22⋊D7)⋊C4—42no—
327(C22⋊D7)⋊C4—42no—
328#6438—24no—
329C4×D28—42no—
330C4×D28—42no—
331C4×Dic14—42no—
332C7×#95C2311yescharacteristic
333C7×#95C2311yescharacteristic
334C7×#95C2311yescharacteristic
335C7×#95C2311yescharacteristic
336C7×#95C2311yescharacteristic
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7×#95C2311yescharacteristic
343C7×#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370#2735—71no—
371#2678—71no—
372#2678—71no—
373#2670—71no—
374#2602—71no—
375#2602—71no—
376#2598—71no—
377#2598—71no—
378#2597—71no—
379#2597—71no—
380#2587—71no—
381#2587D711yescharacteristic, complemented
382#2580—71no—
383#2557—71no—
384#2557—71no—
385#2543—71no—
386#2523—71no—
387#2518—71no—
388#2518—71no—
389#2456—71no—
390#2456—71no—
391#2455—71no—
392#2367—71no—
393#2367—71no—
394#2363—71no—
395#2363—71no—
396#2359—71no—
397#2359—71no—
398C4×#120—71no—
399C4×#120—71no—
400C4×#120—71no—
401C24×C7C2411yescharacteristic
402C23×D7—22no—
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—41no—
406C23×D7—41no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7C2411yescharacteristic
410C23×D7C2411yescharacteristic
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C22×C4×C7—22no—
415C22×C4×C7—41no—
416C22×C4×C7—41no—
417C22×C4×C7C2411yescharacteristic
418C22×C4×C7C2411yescharacteristic
419C22×C4×C7C2411yescharacteristic
420C22×C4×C7C2411yescharacteristic
421C22×C4×C7C2411yescharacteristic
422C22×C4×C7C2411yescharacteristic
423C22×C4×C7C2411yescharacteristic
424C22×C4×C7C2411yescharacteristic
425C22×C4×C7C2411yescharacteristic
426C22×C4×C7C2411yescharacteristic
427C22×C4×C7C2411yescharacteristic
428C22×C4×C7C2411yescharacteristic
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C2×C22⋊D7—22no—
432C2×C22⋊D7—22no—
433C2×C22⋊D7—22no—
434C2×C22⋊D7—22no—
435C2×C22⋊D7—22no—
436C2×C22⋊D7—41no—
437C2×C22⋊D7—41no—
438C2×C22⋊D7—41no—
439C2×C22⋊D7—41no—
440C22×Dic7—22no—
441C22×Dic7—22no—
442C22×Dic7—41no—
443C22×Dic7C2411yescharacteristic
444C22×Dic7C2411yescharacteristic
445C22×Dic7C2411yescharacteristic
446C22×Dic7C2411yescharacteristic
447C22×Dic7C2411yescharacteristic
448C22×Dic7C2411yescharacteristic
449C22×Dic7C2411yescharacteristic
450C22×Dic7C2411yescharacteristic
451C22×Dic7C2411yescharacteristic
452C22×Dic7C2411yescharacteristic
453C22×Dic7C2411yescharacteristic
454C2×D28—22no—
455C2×D28—22no—
456C2×D28—22no—
457C2×D28—22no—
458C2×D28—22no—
459C2×D28—22no—
460C2×D28—22no—
461C2×D28—22no—
462C2×D28—22no—
463C2×D28—22no—
464C2×D28—22no—
465C2×D28—41no—
466C2×D28—41no—
467C2×D28—41no—
468C2×D28—41no—
469C2×D28—41no—
470C2×D28—41no—
471C2×D28—41no—
472C2×D28—41no—
473C2×D28—41no—
474C2×D28—41no—
475C2×D28—41no—
476C2×D28—41no—
477C2×D28—41no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28#4114yes—
481C2×C4×D7—22no—
482C2×C4×D7—22no—
483C2×C4×D7—22no—
484C2×C4×D7—22no—
485C2×C4×D7—22no—
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—22no—
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—416no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×Dic14—22no—
510C2×Dic14—22no—
511C2×Dic14—41no—
512C7×C4⋊C4—22no—
513C7×C4⋊C4—22no—
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×C4⋊C4—41no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4#4114yes—
530C42×C7—22no—
531C42×C7—41no—
532C42×C7—41no—
533C42×C7—41no—
534C22⋊Dic7—22no—
535C22⋊Dic7—22no—
536C22⋊Dic7—41no—
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—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—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#4114yes—
580C4⋊Dic7—22no—
581C4⋊Dic7—22no—
582C4⋊Dic7—22no—
583C4⋊Dic7—41no—
584C4⋊Dic7—41no—
585C4⋊Dic7—41no—
586Dic7⋊C4—22no—
587Dic7⋊C4—22no—
588Dic7⋊C4—22no—
589Dic7⋊C4—22no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593C4×Dic7—22no—
594C4×Dic7—22no—
595C4×Dic7—22no—
596C4×Dic7—22no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C24×C4—71no—
605C2×#124—71no—
606C2×#124—71no—
607C2×#123—71no—
608C2×#123—71no—
609C2×#123—71no—
610C2×#123—71no—
611C2×#121—71no—
612C2×#121—71no—
613C2×#121—71no—
614C2×#120—71no—
615C2×#120—71no—
616C2×#120—71no—
617C2×C4×Q8—71no—
618C2×C4×D4—71no—
619C2×C4×D4—71no—
620C2×C4×D4—71no—
621C2×C4×D4—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×#117—71no—
628C2×#117—71no—
629#400—71no—
630#400C2×D711yescharacteristic, complemented
631#399—71no—
632#399—71no—
633#398C2×D711yescharacteristic, complemented
634#397—71no—
635#397—71no—
636#397—71no—
637#397—71no—
638#397—71no—
639#397—71no—
640#397—71no—
641#396—71no—
642#396—71no—
643#396C2×D711yescharacteristic
644#396C2×D711yescharacteristic
645#394—71no—
646#394—71no—
647#394—71no—
648#394—71no—
649#394—71no—
650#394—71no—
651#394—71no—
652#393—71no—
653#393—71no—
654#392—71no—
655#392—71no—
656#392—71no—
657#392—71no—
658#392—71no—
659#392—71no—
660#392—71no—
661#391—71no—
662#391—71no—
663#390—71no—
664#390—71no—
665#390—71no—
666#390—71no—
667#390—71no—
668#390—71no—
669#390—71no—
670#390—71no—
671#389—71no—
672#389—71no—
673#389—71no—
674#389C2×D711yescharacteristic, complemented
675#389C2×D711yescharacteristic, complemented
676#389C2×D711yescharacteristic, complemented
677#388—71no—
678#388—71no—
679#388—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388—71no—
687#388—71no—
688#388—71no—
689#388—71no—
690#388—71no—
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388C2×D711yescharacteristic
698#388C2×D711yescharacteristic
699#387—71no—
700#387—71no—
701#387—71no—
702#387—71no—
703#387—71no—
704#387—71no—
705#387C2×D711yescharacteristic, complemented
706#387C2×D711yescharacteristic, complemented
707#386—71no—
708#386—71no—
709#386—71no—
710#386—71no—
711#386—71no—
712#386—71no—
713#386—71no—
714#386—71no—
715#386—71no—
716#386—71no—
717#386—71no—
718#386—71no—
719#386—71no—
720#386—71no—
721#386—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#385C2×D711yescharacteristic
734#385C2×D711yescharacteristic
735#383—71no—
736#383—71no—
737#382—71no—
738#379—71no—
739#379—71no—
740#379—71no—
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4C2×D711yescharacteristic, complemented
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4C2×D711yescharacteristic
758C2×#95—71no—
759C23×C7—21no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—21no—
765C23×C7C2×#4112yes—
766C23×C7C2511yescharacteristic
767C22×D7—21no—
768C22×D7—21no—
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—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7C2×#4112yes—
807C22×D7C2×#4112yes—
808C22×D7C2×#4112yes—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—44no—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7C2×#4112yes—
849C2×C4×C7C2×#4112yes—
850C2×C4×C7C2×#4112yes—
851C2×C4×C7H(5,𝔽2)12yes—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C22⋊D7—44no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—44no—
886C2×Dic7C2×#4112yes—
887C2×Dic7H(5,𝔽2)12yes—
888C2×Dic7H(5,𝔽2)12yes—
889D28—44no—
890D28—44no—
891D28—44no—
892D28—44no—
893D28—44no—
894D28—44no—
895D28—82no—
896D28—82no—
897D28—82no—
898C4×D7—44no—
899C4×D7—44no—
900C4×D7—44no—
901C4×D7—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—82no—
905C4×D7—82no—
906C4×D7—82no—
907Dic14—44no—
908C25—71no—
909C22×Q8—71no—
910C22×D4—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4—71no—
919C22×D4—71no—
920C22×D4—71no—
921C22×D4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—282no—
933C23×C4—282no—
934C23×C4—282no—
935C23×C4C22×D711yescharacteristic
936#124—144no—
937#124—144no—
938#123—144no—
939#123—144no—
940#123—282no—
941#123—282no—
942#121—144no—
943#121—144no—
944#121—282no—
945#120—144no—
946#120—144no—
947#120—144no—
948C4×Q8—282no—
949C4×D4—282no—
950C4×D4—282no—
951C4×D4—282no—
952C4×D4—282no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958#117—282no—
959#117—282no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4C22×D711yescharacteristic
974C2×C4⋊C4C22×D711yescharacteristic
975C2×C4⋊C4C22×D711yescharacteristic
976C2×C4⋊C4C22×D711yescharacteristic
977C2×C4⋊C4C22×D711yescharacteristic
978C2×C4⋊C4C22×D711yescharacteristic
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—71no—
1048C2×C42C22×D711yescharacteristic
1049C2×C42C22×D711yescharacteristic
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
1052#95—71no—
1053#95—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95C22×D711yescharacteristic
1079#95C22×D711yescharacteristic
1080#95C22×D711yescharacteristic
1081#95C22×D711yescharacteristic
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090C22×C7—22no—
1091C22×C7—22no—
1092C22×C7—22no—
1093C22×C7—41no—
1094C22×C7—41no—
1095C22×C7—41no—
1096C22×C7—41no—
1097C22×C7C22×#4111yescharacteristic
1098C22×C7C22×#4111yescharacteristic
1099C22×C7C22×#4111yescharacteristic
1100C22×C7C2×H(5,𝔽2)11yescharacteristic
1101C22×C7C2×H(5,𝔽2)11yescharacteristic
1102C22×C7C2×H(5,𝔽2)11yescharacteristic
1103C22×C7#58511yescharacteristic
1104C2×D7—22no—
1105C2×D7—22no—
1106C2×D7—22no—
1107C2×D7—22no—
1108C2×D7—22no—
1109C2×D7—22no—
1110C2×D7—22no—
1111C2×D7—22no—
1112C2×D7—22no—
1113C2×D7—416no—
1114C2×D7—41no—
1115C2×D7—41no—
1116C2×D7—41no—
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—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—41no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—41no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165C24—71no—
1166C24—71no—
1167C24—71no—
1168C24—71no—
1169C24—71no—
1170C24—142no—
1171C24—142no—
1172C24—142no—
1173C24—281no—
1174C24—281no—
1175C24—281no—
1176C24—281no—
1177C24C23×D711yescharacteristic
1178C2×Q8—142no—
1179C2×Q8—142no—
1180C2×Q8—281no—
1181C2×D4—74no—
1182C2×D4—142no—
1183C2×D4—142no—
1184C2×D4—142no—
1185C2×D4—142no—
1186C2×D4—142no—
1187C2×D4—142no—
1188C2×D4—142no—
1189C2×D4—142no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—142no—
1195C2×D4—142no—
1196C2×D4—142no—
1197C2×D4—142no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4—281no—
1202C2×D4—281no—
1203C2×D4—281no—
1204C2×D4—281no—
1205C2×D4—281no—
1206C2×D4—281no—
1207C2×D4—281no—
1208C2×D4—281no—
1209C2×D4—281no—
1210C2×D4—281no—
1211C2×D4—281no—
1212C2×D4—281no—
1213C2×D4—281no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C22×C4—22no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—142no—
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—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—2816no—
1261C22×C4—281no—
1262C22×C4C23×D711yescharacteristic
1263C22×C4C23×D711yescharacteristic
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
1292C4⋊C4—142no—
1293C4⋊C4—142no—
1294C4⋊C4—142no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—74no—
1307C22⋊C4—142no—
1308C22⋊C4—142no—
1309C22⋊C4—142no—
1310C22⋊C4—142no—
1311C22⋊C4—142no—
1312C22⋊C4—142no—
1313C22⋊C4—142no—
1314C22⋊C4—142no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—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#116114yes—
1353C42—22no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—142no—
1358C42—142no—
1359C42—142no—
1360C42—142no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42—281no—
1368C2×C7—42no—
1369C2×C7#348111yescharacteristic
1370C2×C7#348111yescharacteristic
1371C2×C7#348111yescharacteristic
1372C2×C7#350511yescharacteristic
1373C2×C7#350611yescharacteristic
1374C2×C7#350611yescharacteristic
1375C2×C7#353211yescharacteristic
1376D7—42no—
1377D7—42no—
1378D7—42no—
1379D7—81no—
1380D7—81no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—72no—
1388C23—72no—
1389C23—72no—
1390C23—141no—
1391C23—141no—
1392C23—141no—
1393C23—141no—
1394C23—141no—
1395C23—141no—
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—284no—
1423C23—284no—
1424C23—284no—
1425C23—284no—
1426C23—284no—
1427C23—284no—
1428C23—284no—
1429C23C2×#116112yes—
1430C23C24×D711yescharacteristic
1431Q8—284no—
1432D4—284no—
1433D4—284no—
1434D4—284no—
1435D4—284no—
1436D4—284no—
1437D4—284no—
1438D4—284no—
1439D4—284no—
1440D4—284no—
1441D4—562no—
1442D4—562no—
1443D4—562no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—44no—
1482C2×C4—72no—
1483C2×C4—72no—
1484C2×C4—72no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—284no—
1516C2×C4—284no—
1517C2×C4—284no—
1518C2×C4—284no—
1519C2×C4—284no—
1520C2×C4—284no—
1521C2×C4—284no—
1522C2×C4—562no—
1523C2×C4—562no—
1524C2×C4—562no—
1525C2×C4C2×#116112yes—
1526C2×C4C2×#116112yes—
1527C2×C4D7×#4112yes—
1528C2×C4D7×#4112yes—
1529C2×C4#655312yes—
1530C7#6003311yescharacteristic, complemented, Sylow
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—142no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—2816no—
1548C22—281no—
1549C22—281no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
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—
1574C22C22×#116111yescharacteristic
1575C22C2×D7×#4111yescharacteristic
1576C22C2×D7×#4111yescharacteristic
1577C22C2×#655311yescharacteristic
1578C22#9061611yescharacteristic
1579C22D7×H(5,𝔽2)11yescharacteristic
1580C22D7×H(5,𝔽2)11yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—142no—
1596C4—142no—
1597C4—142no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C2—42no—
1607C2—282no—
1608C2—282no—
1609C2—282no—
1610C2—561no—
1611C2—561no—
1612C2#1174322111yescharacteristic
1613C2#1174332711yescharacteristic
1614C2#1174348611yescharacteristic
1615C2#1174398011yescharacteristic
1616C2#1174398111yescharacteristic
1617C2#1174399211yescharacteristic
1618C2#1174399211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2587C2
hypercenter#2587D7
hypocenterC7#60033
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2587

Complements

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

NH ≅ G/Ntype
1. C7×#2587C2semidirect
2. #11735648C2semidirect
3. #11735647C2semidirect
4. #11735402C2semidirect
5. #11735247C2semidirect
6. #11734887C2semidirect
7. #11734875C2semidirect
8. #11734753C2semidirect
9. #11734737C2semidirect
10. #11733671C2semidirect
11. #11733649C2semidirect
12. #11733541C2semidirect
13. #11733520C2semidirect
14. #11733495C2semidirect
15. #11733430C2semidirect
16. #11733361C2semidirect
17. #11733358C2semidirect
18. #11733283C2semidirect
19. #11732927C2semidirect
20. #11732803C2semidirect
21. #11732768C2semidirect
22. #11732568C2semidirect
23. #11732491C2semidirect
24. #11732063C2semidirect
25. #11731941C2semidirect
26. #11731824C2semidirect
27. #11731824C2semidirect
28. #11731100C2semidirect
29. #11731094C2semidirect
30. #11731047C2semidirect
31. C4×#6445C2semidirect
36. C2×#6458C22semidirect
38. C2×#6457C22semidirect
39. C2×#6457C22semidirect
44. C2×#6455C22semidirect
45. C2×#6455C22semidirect
56. C2×C4×Dic14C22semidirect
57. C7×#400C22semidirect
58. C7×#398C22semidirect
61. C7×#389C22semidirect
62. C7×#389C22semidirect
63. C7×#389C22semidirect
66. C7×#387C22semidirect
67. C7×#387C22semidirect
70. C4×C7×C4⋊C4C22semidirect
79. #89764C22semidirect
83. #89763C22semidirect
87. #89762C22semidirect
88. #89762C22semidirect
89. #89762C22semidirect
90. #89762C22semidirect
91. #89762C22semidirect
92. #89762C22semidirect
97. #89761C22semidirect
98. #89761C22semidirect
101. #89760C22semidirect
102. #89757C22semidirect
103. #89753C22semidirect
104. #89750C22semidirect
105. #89750C22semidirect
106. #89750C22semidirect
107. #89749C22semidirect
108. C4⋊C4×Dic7C22semidirect
109. #89745C22semidirect
127. #89712C22semidirect
131. #89711C22semidirect
134. C4×(C2×D7)⋊C4C22semidirect
135. C4×(C2×D7)⋊C4C22semidirect
136. C4×(C2×D7)⋊C4C22semidirect
137. C4×C4⋊Dic7C22semidirect
138. #89701C22semidirect
140. #89447C22semidirect
142. #89446C22semidirect
144. #89445C22semidirect
152. #89442C22semidirect
153. #89442C22semidirect
154. #89442C22semidirect
156. #89441C22semidirect
157. #89441C22semidirect
160. #89440C22semidirect
161. #89440C22semidirect
166. #89438C22semidirect
174. #89437C22semidirect
175. #89437C22semidirect
176. #89437C22semidirect
177. #89437C22semidirect
178. D7×#95C22semidirect
179. #89432C22semidirect
180. #89426C22semidirect
181. #89425C22semidirect
182. #89423C22semidirect
183. #89423C22semidirect
184. #89421C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
381. #2587D7semidirect
630. #400C2×D7semidirect
633. #398C2×D7semidirect
674. #389C2×D7semidirect
675. #389C2×D7semidirect
676. #389C2×D7semidirect
705. #387C2×D7semidirect
706. #387C2×D7semidirect
744. C4×C4⋊C4C2×D7semidirect
1530. C7#60033semidirect

Maximal subgroups

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

subgroupindex
C7×#25872
#117356482
#117356472
#117354022
#117352472
#117348872
#117348752
#117347532
#117347372
#117336712
#117336492
#117335412
#117335202
#117334952
#117334302
#117333612
#117333582
#117332832
#117329272
#117328032
#117327682
#117325682
#117324912
#117320632
#117319412
#117318242
#117311002
#117310942
#117310472
C4×#64452
#600337