Finite Group Databasebeta

← #14216901

Subgroups — #14216901

Order 1792.

2288 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2589C211yesmaximal, characteristic, complemented
2#11735686C211yesmaximal, characteristic, complemented
3#11735606C211yesmaximal, characteristic, complemented
4#11735552C211yesmaximal, characteristic, complemented
5#11735471C211yesmaximal, characteristic, complemented
6#11735441C211yesmaximal, characteristic, complemented
7#11735198C211yesmaximal, characteristic, complemented
8#11734308C211yesmaximal, characteristic, complemented
9#11734242C211yesmaximal, characteristic, complemented
10#11734071C211yesmaximal, characteristic, complemented
11#11733998C211yesmaximal, characteristic, complemented
12#11733984C211yesmaximal, characteristic, complemented
13#11733923C211yesmaximal, characteristic, complemented
14#11733541C211yesmaximal, characteristic, complemented
15#11733409C211yesmaximal, characteristic, complemented
16#11733372C211yesmaximal, characteristic, complemented
17#11733357C211yesmaximal, characteristic, complemented
18#11733281C211yesmaximal, characteristic, complemented
19#11732933C211yesmaximal, characteristic, complemented
20#11732819C211yesmaximal, characteristic, complemented
21#11732777C211yesmaximal, characteristic, complemented
22#11732768C211yesmaximal, characteristic, complemented
23#11732478C211yesmaximal, characteristic, complemented
24#11732041C211yesmaximal, characteristic, complemented
25#11732041C211yesmaximal, characteristic, complemented
26#11731877C211yesmaximal, characteristic, complemented
27#11731872C211yesmaximal, characteristic, complemented
28#11731112C211yesmaximal, characteristic, complemented
29#11731098C211yesmaximal, characteristic, complemented
30#11731042C211yesmaximal, characteristic, complemented
31C4×#6447C211yesmaximal, characteristic, complemented
32C22×#1161C2211yescharacteristic
33C2×#6510C2211yescharacteristic, complemented
34C2×#6493C2211yescharacteristic
35C2×C4×C22⋊D7C2211yescharacteristic
36C2×C4×C22⋊D7C2211yescharacteristic
37C22×(C2×D7)⋊C4C2211yescharacteristic
38C2×#6458C2211yescharacteristic
39C2×#6458C2211yescharacteristic
40C2×#6458C2211yescharacteristic, complemented
41C2×#6457C2211yescharacteristic
42C2×#6457C2211yescharacteristic
43C2×#6457C2211yescharacteristic, complemented
44C2×#6457C2211yescharacteristic, complemented
45C2×#6456C2211yescharacteristic
46C2×#6456C2211yescharacteristic
47C2×#6456C2211yescharacteristic
48C2×#6456C2211yescharacteristic, complemented
49C2×#6455C2211yescharacteristic, complemented
50C2×#6449C2211yescharacteristic
51C2×#6449C2211yescharacteristic
52C2×#6447C2211yescharacteristic
53C2×#6445C2211yescharacteristic
54C2×#6445C2211yescharacteristic
55C2×#6445C2211yescharacteristic
56C2×#6445C2211yescharacteristic
57C2×D7×C22⋊C4C2211yescharacteristic
58C2×D7×C22⋊C4C2211yescharacteristic
59C2×#6437C2211yescharacteristic
60C2×C4×D28C2211yescharacteristic
61C2×C4×D28C2211yescharacteristic, complemented
62C2×C42×D7C2211yescharacteristic, complemented
63C7×#400C2211yescharacteristic, complemented
64C7×#399C2211yescharacteristic
65C7×#398C2211yescharacteristic, complemented
66C7×#393C2211yescharacteristic
67C7×#391C2211yescharacteristic, complemented
68C7×#391C2211yescharacteristic, complemented
69C7×#389C2211yescharacteristic, complemented
70C7×#388C2211yescharacteristic
71C7×#388C2211yescharacteristic
72C7×#387C2211yescharacteristic, complemented
73C7×#387C2211yescharacteristic, complemented
74C7×#385C2211yescharacteristic
75C7×#385C2211yescharacteristic
76C4×C7×C4⋊C4C2211yescharacteristic, complemented
77C4×C7×C22⋊C4C2211yescharacteristic
78#90003C2211yescharacteristic
79#90002C2211yescharacteristic, complemented
80#89766C2211yescharacteristic, complemented
81#89766C2211yescharacteristic, complemented
82#89765C2211yescharacteristic, complemented
83#89764C2211yescharacteristic
84#89763C2211yescharacteristic
85#89763C2211yescharacteristic, complemented
86#89762C2211yescharacteristic
87#89762C2211yescharacteristic
88#89762C2211yescharacteristic, complemented
89#89762C2211yescharacteristic, complemented
90#89762C2211yescharacteristic, complemented
91#89762C2211yescharacteristic, complemented
92#89761C2211yescharacteristic
93#89761C2211yescharacteristic
94#89761C2211yescharacteristic
95#89760C2211yescharacteristic
96#89760C2211yescharacteristic
97#89760C2211yescharacteristic
98#89760C2211yescharacteristic
99#89760C2211yescharacteristic, complemented
100#89759C2211yescharacteristic, complemented
101#89756C2211yescharacteristic, complemented
102#89753C2211yescharacteristic, complemented
103C4⋊C4×Dic7C2211yescharacteristic, complemented
104#89732C2211yescharacteristic
105#89732C2211yescharacteristic
106#89732C2211yescharacteristic
107#89732C2211yescharacteristic
108#89730C2211yescharacteristic
109#89730C2211yescharacteristic
110#89729C2211yescharacteristic
111#89729C2211yescharacteristic
112#89729C2211yescharacteristic
113#89728C2211yescharacteristic
114#89728C2211yescharacteristic
115#89728C2211yescharacteristic
116#89723C2211yescharacteristic
117C22⋊C4×Dic7C2211yescharacteristic
118C22⋊C4×Dic7C2211yescharacteristic
119#89712C2211yescharacteristic
120#89712C2211yescharacteristic, complemented
121#89711C2211yescharacteristic
122#89711C2211yescharacteristic
123#89711C2211yescharacteristic
124#89711C2211yescharacteristic
125#89711C2211yescharacteristic, complemented
126C4×(C2×D7)⋊C4C2211yescharacteristic
127C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
128C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
129C4×C4⋊Dic7C2211yescharacteristic, complemented
130C4×Dic7⋊C4C2211yescharacteristic, complemented
131#89449C2211yescharacteristic
132#89449C2211yescharacteristic
133#89447C2211yescharacteristic, complemented
134#89446C2211yescharacteristic, complemented
135#89446C2211yescharacteristic, complemented
136#89444C2211yescharacteristic
137#89444C2211yescharacteristic, complemented
138#89443C2211yescharacteristic
139#89443C2211yescharacteristic
140#89443C2211yescharacteristic
141#89443C2211yescharacteristic
142#89443C2211yescharacteristic
143#89443C2211yescharacteristic
144#89443C2211yescharacteristic, complemented
145#89443C2211yescharacteristic, complemented
146#89442C2211yescharacteristic, complemented
147#89442C2211yescharacteristic, complemented
148#89442C2211yescharacteristic, complemented
149#89441C2211yescharacteristic
150#89441C2211yescharacteristic
151#89441C2211yescharacteristic, complemented
152#89441C2211yescharacteristic, complemented
153#89440C2211yescharacteristic
154#89439C2211yescharacteristic, complemented
155#89438C2211yescharacteristic
156#89438C2211yescharacteristic
157#89438C2211yescharacteristic
158#89438C2211yescharacteristic
159#89438C2211yescharacteristic, complemented
160#89438C2211yescharacteristic, complemented
161#89438C2211yescharacteristic, complemented
162#89437C2211yescharacteristic
163#89437C2211yescharacteristic
164#89437C2211yescharacteristic
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic, complemented
174#89437C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89437C2211yescharacteristic, complemented
178#89437C2211yescharacteristic, complemented
179#89436C2211yescharacteristic
180#89431C2211yescharacteristic, complemented
181#89427C2211yescharacteristic, complemented
182#89427C2211yescharacteristic, complemented
183#89426C2211yescharacteristic, complemented
184#89426C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#60034—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×Q8C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C22×C22⋊D7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C23×Dic7C2311yescharacteristic
196C2×#1161—24no—
197C2×#1161—42no—
198C2×#1161—42no—
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×D28C2311yescharacteristic
209C22×D28C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×D28C2311yescharacteristic
212C22×D28C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C42×C7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244#6510—42no—
245#6493—42no—
246C4×C22⋊D7—42no—
247C4×C22⋊D7—42no—
248C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317#6458—24no—
318#6458—42no—
319#6458—42no—
320#6457—24no—
321#6457—42no—
322#6457—42no—
323#6457—42no—
324#6456—42no—
325#6456—42no—
326#6456—42no—
327#6456—42no—
328#6455—42no—
329#6449—24no—
330#6449—42no—
331#6447—24no—
332#6445—24no—
333#6445—24no—
334#6445—24no—
335#6445—42no—
336D7×C22⋊C4—42no—
337D7×C22⋊C4—42no—
338#6437—24no—
339C4×D28—42no—
340C4×D28—42no—
341C42×D7—42no—
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
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376#2748—71no—
377#2703—71no—
378#2703—71no—
379#2669—71no—
380#2602—71no—
381#2602—71no—
382#2589—71no—
383#2589D711yescharacteristic, complemented
384#2557—71no—
385#2557—71no—
386#2539—71no—
387#2539—71no—
388#2516—71no—
389#2516—71no—
390#2471—71no—
391#2471—71no—
392#2464—71no—
393#2464—71no—
394#2456—71no—
395#2456—71no—
396#2431—71no—
397#2404—71no—
398#2374—71no—
399#2374—71no—
400#2366—71no—
401#2358—71no—
402#2358—71no—
403#2358—71no—
404C4×#121—71no—
405C4×#121—71no—
406#2297—71no—
407C24×C7C2411yescharacteristic
408C23×D7—22no—
409C23×D7—22no—
410C23×D7—22no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7C2411yescharacteristic
416C23×D7C2411yescharacteristic
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×Q8—22no—
422C2×C7×Q8—22no—
423C2×C7×Q8—41no—
424C22×C4×C7—22no—
425C22×C4×C7—41no—
426C22×C4×C7—41no—
427C22×C4×C7C2411yescharacteristic
428C22×C4×C7C2411yescharacteristic
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C2×C22⋊D7—22no—
442C2×C22⋊D7—22no—
443C2×C22⋊D7—22no—
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—41no—
448C2×C22⋊D7—41no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C22×Dic7—22no—
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
466#1161—416no—
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—22no—
478C2×D28—22no—
479C2×D28—22no—
480C2×D28—22no—
481C2×D28—22no—
482C2×D28—22no—
483C2×D28—22no—
484C2×D28—22no—
485C2×D28—41no—
486C2×D28—41no—
487C2×D28—41no—
488C2×D28—41no—
489C2×D28—41no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28—41no—
493C2×D28—41no—
494C2×D28—41no—
495C2×D28—41no—
496C2×D28—41no—
497C2×D28—41no—
498C2×D28—41no—
499C2×D28—41no—
500C2×D28—41no—
501C2×D28—41no—
502C2×D28—41no—
503C2×D28—41no—
504C2×D28—41no—
505C2×D28—41no—
506C2×D28—41no—
507C2×D28—41no—
508C2×D28#4114yes—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—22no—
512C2×C4×D7—22no—
513C2×C4×D7—22no—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—22no—
518C2×C4×D7—22no—
519C2×C4×D7—22no—
520C2×C4×D7—22no—
521C2×C4×D7—22no—
522C2×C4×D7—22no—
523C2×C4×D7—22no—
524C2×C4×D7—41no—
525C2×C4×D7—41no—
526C2×C4×D7—41no—
527C2×C4×D7—41no—
528C2×C4×D7—41no—
529C2×C4×D7—41no—
530C2×C4×D7—41no—
531C2×C4×D7—41no—
532C2×C4×D7—41no—
533C2×C4×D7—41no—
534C2×C4×D7—41no—
535C2×C4×D7—41no—
536C2×C4×D7—41no—
537C2×C4×D7—41no—
538C2×C4×D7—41no—
539C7×C4⋊C4—22no—
540C7×C4⋊C4—22no—
541C7×C4⋊C4—22no—
542C7×C4⋊C4—22no—
543C7×C4⋊C4—22no—
544C7×C4⋊C4—41no—
545C7×C4⋊C4—41no—
546C7×C4⋊C4—41no—
547C7×C4⋊C4—41no—
548C7×C22⋊C4—22no—
549C7×C22⋊C4—22no—
550C7×C22⋊C4—22no—
551C7×C22⋊C4—41no—
552C7×C22⋊C4—41no—
553C7×C22⋊C4#4114yescomplemented
554C42×C7—22no—
555C42×C7—41no—
556C42×C7—41no—
557C42×C7—41no—
558C22⋊Dic7—22no—
559C22⋊Dic7—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
572(C2×D7)⋊C4—22no—
573(C2×D7)⋊C4—22no—
574(C2×D7)⋊C4—22no—
575(C2×D7)⋊C4—22no—
576(C2×D7)⋊C4—22no—
577(C2×D7)⋊C4—22no—
578(C2×D7)⋊C4—22no—
579(C2×D7)⋊C4—22no—
580(C2×D7)⋊C4—22no—
581(C2×D7)⋊C4—22no—
582(C2×D7)⋊C4—22no—
583(C2×D7)⋊C4—22no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
588(C2×D7)⋊C4—41no—
589(C2×D7)⋊C4—41no—
590(C2×D7)⋊C4—41no—
591(C2×D7)⋊C4—41no—
592(C2×D7)⋊C4—41no—
593(C2×D7)⋊C4—41no—
594(C2×D7)⋊C4—41no—
595(C2×D7)⋊C4—41no—
596(C2×D7)⋊C4—41no—
597(C2×D7)⋊C4—41no—
598(C2×D7)⋊C4—41no—
599(C2×D7)⋊C4—41no—
600(C2×D7)⋊C4—41no—
601(C2×D7)⋊C4—41no—
602(C2×D7)⋊C4—41no—
603(C2×D7)⋊C4—41no—
604(C2×D7)⋊C4—41no—
605(C2×D7)⋊C4#4114yescomplemented
606C4⋊Dic7—22no—
607C4⋊Dic7—22no—
608C4⋊Dic7—22no—
609C4⋊Dic7—22no—
610C4⋊Dic7—41no—
611C4⋊Dic7—41no—
612Dic7⋊C4—22no—
613Dic7⋊C4—22no—
614Dic7⋊C4—22no—
615Dic7⋊C4—41no—
616Dic7⋊C4—41no—
617Dic7⋊C4—41no—
618C4×Dic7—22no—
619C4×Dic7—22no—
620C4×Dic7—41no—
621C4×Dic7—41no—
622C4×Dic7—41no—
623C4×Dic7—41no—
624C4×Dic7—41no—
625C4×Dic7—41no—
626C4×Dic7—41no—
627C4×Dic7—41no—
628C22×#41—71no—
629C2×#127—71no—
630C2×#124—71no—
631C2×#123—71no—
632C2×#123—71no—
633C2×#123—71no—
634C2×#123—71no—
635C2×#123—71no—
636C2×#123—71no—
637C2×#121—71no—
638C2×#121—71no—
639C2×#121—71no—
640C2×#121—71no—
641C2×#121—71no—
642C2×#120—71no—
643C2×#120—71no—
644C2×#120—71no—
645C2×#120—71no—
646C2×C4×D4—71no—
647C2×C4×D4—71no—
648C2×C4×D4—71no—
649C2×C4×D4—71no—
650C2×C4×D4—71no—
651C2×C4×D4—71no—
652C2×C4×D4—71no—
653C2×C4×D4—71no—
654C2×#117—71no—
655C22×C22⋊C4—71no—
656C22×C22⋊C4—71no—
657C22×C22⋊C4—71no—
658C22×C42—71no—
659#400—71no—
660#400C2×D711yescharacteristic, complemented
661#399—71no—
662#399—71no—
663#399—71no—
664#399C2×D711yescharacteristic
665#398—71no—
666#398C2×D711yescharacteristic, complemented
667#397—71no—
668#397—71no—
669#397—71no—
670#397—71no—
671#396—71no—
672#396—71no—
673#394—71no—
674#394—71no—
675#394—71no—
676#394—71no—
677#393—71no—
678#393C2×D711yescharacteristic
679#392—71no—
680#392—71no—
681#392—71no—
682#392—71no—
683#392—71no—
684#392—71no—
685#392—71no—
686#392—71no—
687#392—71no—
688#392—71no—
689#392—71no—
690#392—71no—
691#391—71no—
692#391C2×D711yescharacteristic, complemented
693#391C2×D711yescharacteristic, complemented
694#390—71no—
695#390—71no—
696#390—71no—
697#390—71no—
698#390—71no—
699#390—71no—
700#390—71no—
701#390—71no—
702#390—71no—
703#390—71no—
704#390—71no—
705#390—71no—
706#390—71no—
707#389—71no—
708#389C2×D711yescharacteristic, complemented
709#388—71no—
710#388—71no—
711#388—71no—
712#388—71no—
713#388—71no—
714#388—71no—
715#388—71no—
716#388—71no—
717#388—71no—
718#388—71no—
719#388—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388—71no—
725#388C2×D711yescharacteristic
726#388C2×D711yescharacteristic
727#387—71no—
728#387—71no—
729#387—71no—
730#387—71no—
731#387—71no—
732#387—71no—
733#387C2×D711yescharacteristic, complemented
734#387C2×D711yescharacteristic, complemented
735#386—71no—
736#386—71no—
737#386—71no—
738#386—71no—
739#386—71no—
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386—71no—
754#386—71no—
755#386—71no—
756#386—71no—
757#385—71no—
758#385—71no—
759#385—71no—
760#385—71no—
761#385C2×D711yescharacteristic
762#385C2×D711yescharacteristic
763#381—71no—
764#380—71no—
765#380—71no—
766C4×C4⋊C4—71no—
767C4×C4⋊C4—71no—
768C4×C4⋊C4—71no—
769C4×C4⋊C4C2×D711yescharacteristic, complemented
770C4×C22⋊C4—71no—
771C4×C22⋊C4—71no—
772C4×C22⋊C4—71no—
773C4×C22⋊C4—71no—
774C4×C22⋊C4—71no—
775C4×C22⋊C4—71no—
776C4×C22⋊C4—71no—
777C4×C22⋊C4—71no—
778C4×C22⋊C4—71no—
779C4×C22⋊C4—71no—
780C4×C22⋊C4—71no—
781C4×C22⋊C4—71no—
782C4×C22⋊C4C2×D711yescharacteristic
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7C2×#4112yes—
790C23×C7C2511yescharacteristic
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—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—21no—
827C22×D7—21no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—44no—
831C22×D7—44no—
832C22×D7—44no—
833C22×D7—82no—
834C22×D7—82no—
835C22×D7—82no—
836C22×D7—82no—
837C22×D7C2×#4112yes—
838C22×D7C2×#4112yes—
839C22×D7C2×#4112yes—
840C7×Q8—44no—
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—21no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—21no—
872C2×C4×C7—21no—
873C2×C4×C7—21no—
874C2×C4×C7—21no—
875C2×C4×C7—21no—
876C2×C4×C7—21no—
877C2×C4×C7—82no—
878C2×C4×C7C2×#4112yes—
879C2×C4×C7C2×#4112yes—
880C2×C4×C7C2×#4112yes—
881C2×C4×C7C2×#4112yes—
882C2×C4×C7H(5,𝔽2)12yes—
883C2×C4×C7H(5,𝔽2)12yes—
884C22⋊D7—44no—
885C22⋊D7—44no—
886C22⋊D7—82no—
887C22⋊D7—82no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—82no—
916C2×Dic7C2×#4112yes—
917C2×Dic7H(5,𝔽2)12yes—
918C2×Dic7H(5,𝔽2)12yes—
919D28—44no—
920D28—44no—
921D28—44no—
922D28—44no—
923D28—44no—
924D28—44no—
925D28—44no—
926D28—44no—
927D28—44no—
928D28—82no—
929D28—82no—
930D28—82no—
931D28—82no—
932D28—82no—
933C4×D7—28no—
934C4×D7—44no—
935C4×D7—44no—
936C4×D7—44no—
937C4×D7—44no—
938C4×D7—82no—
939C4×D7—82no—
940C4×D7—82no—
941C4×D7—82no—
942C4×D7—82no—
943C25—71no—
944C2×#41—144no—
945C2×#41—282no—
946C2×#41—282no—
947C22×Q8C22×D711yescharacteristic
948C22×D4—71no—
949C22×D4—71no—
950C22×D4—71no—
951C22×D4—71no—
952C22×D4—71no—
953C22×D4—71no—
954C22×D4—71no—
955C22×D4—71no—
956C22×D4—71no—
957C22×D4—71no—
958C22×D4—71no—
959C22×D4—71no—
960C22×D4—71no—
961C22×D4—71no—
962C22×D4—71no—
963C22×D4—71no—
964C22×D4—71no—
965C22×D4—71no—
966C23×C4—71no—
967C23×C4—71no—
968C23×C4—71no—
969C23×C4—71no—
970C23×C4—71no—
971C23×C4—71no—
972C23×C4—71no—
973C23×C4—71no—
974C23×C4—71no—
975C23×C4—71no—
976C23×C4—71no—
977C23×C4C22×D711yescharacteristic
978#127—144no—
979#124—282no—
980#123—144no—
981#123—144no—
982#123—282no—
983#123—282no—
984#123—282no—
985#123—282no—
986#121—144no—
987#121—144no—
988#121—282no—
989#121—282no—
990#121—282no—
991#120—144no—
992#120—144no—
993#120—144no—
994#120—282no—
995C4×D4—282no—
996C4×D4—282no—
997C4×D4—282no—
998C4×D4—282no—
999C4×D4—282no—
1000C4×D4—282no—
1001C4×D4—282no—
1002C4×D4—282no—
1003#117—282no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4C22×D711yescharacteristic
1017C2×C4⋊C4C22×D711yescharacteristic
1018C2×C4⋊C4C22×D711yescharacteristic
1019C2×C4⋊C4C22×D711yescharacteristic
1020C2×C4⋊C4C22×D711yescharacteristic
1021C2×C4⋊C4C22×D711yescharacteristic
1022C2×C4⋊C4C22×D711yescharacteristic
1023C2×C4⋊C4C22×D711yescharacteristic
1024C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—71no—
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—71no—
1072C2×C22⋊C4—71no—
1073C2×C22⋊C4—282no—
1074C2×C22⋊C4—282no—
1075C2×C22⋊C4—282no—
1076C2×C22⋊C4C22×D711yescharacteristic
1077C2×C22⋊C4C22×D711yescharacteristic
1078C2×C22⋊C4C22×D711yescharacteristic
1079C2×C22⋊C4C22×D711yescharacteristic
1080C2×C22⋊C4C22×D711yescharacteristic
1081C2×C22⋊C4C22×D711yescharacteristic
1082C2×C42—71no—
1083C2×C42—71no—
1084C2×C42—71no—
1085C2×C42—71no—
1086C2×C42—71no—
1087C2×C42—71no—
1088C2×C42—71no—
1089C2×C42—71no—
1090C2×C42—71no—
1091C2×C42—71no—
1092C2×C42—282no—
1093C2×C42C22×D711yescharacteristic
1094C2×C42C22×D711yescharacteristic
1095C2×C42C22×D711yescharacteristic
1096C2×C42C22×D711yescharacteristic
1097#95—71no—
1098#95—71no—
1099#95—71no—
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95—71no—
1108#95—71no—
1109#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95C22×D711yescharacteristic
1118#95C22×D711yescharacteristic
1119#95C22×D711yescharacteristic
1120#95C22×D711yescharacteristic
1121#95C22×D711yescharacteristic
1122#95C22×D711yescharacteristic
1123#95C22×D711yescharacteristic
1124#95C22×D711yescharacteristic
1125#95C22×D711yescharacteristic
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130#95C22×D711yescharacteristic
1131C22×C7—22no—
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—41no—
1135C22×C7—41no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7C22×#4111yescharacteristic
1139C22×C7C22×#4111yescharacteristic
1140C22×C7C22×#4111yescharacteristic
1141C22×C7C2×H(5,𝔽2)11yescharacteristic
1142C22×C7C2×H(5,𝔽2)11yescharacteristic
1143C22×C7C2×H(5,𝔽2)11yescharacteristic
1144C22×C7C2×H(5,𝔽2)11yescharacteristic
1145C2×D7—22no—
1146C2×D7—22no—
1147C2×D7—22no—
1148C2×D7—22no—
1149C2×D7—22no—
1150C2×D7—22no—
1151C2×D7—22no—
1152C2×D7—22no—
1153C2×D7—22no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C2×D7—41no—
1158C2×D7—41no—
1159C2×D7—41no—
1160C2×D7—41no—
1161C2×D7—41no—
1162C2×D7—41no—
1163C2×D7—41no—
1164C2×D7—41no—
1165C2×D7—41no—
1166C2×D7—41no—
1167C2×D7—41no—
1168C2×D7—41no—
1169C2×D7—41no—
1170C2×D7—41no—
1171C2×D7—41no—
1172C2×D7—41no—
1173C2×D7—41no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—41no—
1179C2×D7—41no—
1180C2×D7—41no—
1181C2×D7—41no—
1182C2×D7—41no—
1183C2×D7—41no—
1184C2×D7—41no—
1185C2×D7—41no—
1186C2×D7—41no—
1187C2×D7—88no—
1188C4×C7—22no—
1189C4×C7—22no—
1190C4×C7—22no—
1191C4×C7—22no—
1192C4×C7—22no—
1193C4×C7—22no—
1194C4×C7—41no—
1195C4×C7—41no—
1196C4×C7—41no—
1197C4×C7—41no—
1198C4×C7—41no—
1199C4×C7—41no—
1200C4×C7—41no—
1201C4×C7—41no—
1202Dic7—22no—
1203Dic7—22no—
1204Dic7—22no—
1205Dic7—41no—
1206Dic7—41no—
1207Dic7—41no—
1208Dic7—41no—
1209Dic7—41no—
1210Dic7—41no—
1211Dic7—41no—
1212C24—71no—
1213C24—71no—
1214C24—71no—
1215C24—71no—
1216C24—71no—
1217C24—71no—
1218C24—142no—
1219C24—142no—
1220C24—142no—
1221C24—281no—
1222C24—281no—
1223C24—281no—
1224C24—281no—
1225C24C23×D711yescharacteristic
1226#41—2816no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—41no—
1230C2×D4—74no—
1231C2×D4—142no—
1232C2×D4—142no—
1233C2×D4—142no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—142no—
1237C2×D4—142no—
1238C2×D4—142no—
1239C2×D4—142no—
1240C2×D4—142no—
1241C2×D4—142no—
1242C2×D4—142no—
1243C2×D4—142no—
1244C2×D4—142no—
1245C2×D4—142no—
1246C2×D4—142no—
1247C2×D4—142no—
1248C2×D4—142no—
1249C2×D4—142no—
1250C2×D4—142no—
1251C2×D4—142no—
1252C2×D4—142no—
1253C2×D4—142no—
1254C2×D4—142no—
1255C2×D4—281no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C2×D4—281no—
1261C2×D4—281no—
1262C2×D4—281no—
1263C2×D4—281no—
1264C2×D4—281no—
1265C2×D4—281no—
1266C2×D4—281no—
1267C2×D4—281no—
1268C2×D4—281no—
1269C2×D4—281no—
1270C2×D4—281no—
1271C2×D4—281no—
1272C2×D4—281no—
1273C2×D4—281no—
1274C2×D4—281no—
1275C2×D4—281no—
1276C2×D4—281no—
1277C2×D4—281no—
1278C2×D4—281no—
1279C2×D4—281no—
1280C2×D4—281no—
1281C2×D4—281no—
1282C2×D4—281no—
1283C2×D4—281no—
1284C22×C4—22no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—71no—
1288C22×C4—71no—
1289C22×C4—71no—
1290C22×C4—71no—
1291C22×C4—71no—
1292C22×C4—71no—
1293C22×C4—71no—
1294C22×C4—71no—
1295C22×C4—71no—
1296C22×C4—71no—
1297C22×C4—142no—
1298C22×C4—142no—
1299C22×C4—142no—
1300C22×C4—142no—
1301C22×C4—142no—
1302C22×C4—142no—
1303C22×C4—142no—
1304C22×C4—142no—
1305C22×C4—142no—
1306C22×C4—142no—
1307C22×C4—142no—
1308C22×C4—142no—
1309C22×C4—142no—
1310C22×C4—142no—
1311C22×C4—142no—
1312C22×C4—142no—
1313C22×C4—281no—
1314C22×C4—281no—
1315C22×C4—281no—
1316C22×C4—281no—
1317C22×C4—281no—
1318C22×C4—281no—
1319C22×C4—281no—
1320C22×C4—281no—
1321C22×C4—281no—
1322C22×C4—281no—
1323C22×C4—281no—
1324C22×C4—281no—
1325C22×C4—281no—
1326C22×C4—281no—
1327C22×C4—281no—
1328C22×C4—281no—
1329C22×C4—281no—
1330C22×C4C23×D711yescharacteristic
1331C22×C4C23×D711yescharacteristic
1332C22×C4C23×D711yescharacteristic
1333C22×C4C23×D711yescharacteristic
1334C22×C4C23×D711yescharacteristic
1335C22×C4C23×D711yescharacteristic
1336C22×C4C23×D711yescharacteristic
1337C22×C4C23×D711yescharacteristic
1338C22×C4C23×D711yescharacteristic
1339C22×C4C23×D711yescharacteristic
1340C22×C4C23×D711yescharacteristic
1341C22×C4C23×D711yescharacteristic
1342C22×C4C23×D711yescharacteristic
1343C22×C4C23×D711yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—142no—
1354C4⋊C4—142no—
1355C4⋊C4—142no—
1356C4⋊C4—142no—
1357C4⋊C4—142no—
1358C4⋊C4—142no—
1359C4⋊C4—142no—
1360C4⋊C4—281no—
1361C4⋊C4—281no—
1362C4⋊C4—281no—
1363C4⋊C4—281no—
1364C4⋊C4—281no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—74no—
1371C22⋊C4—142no—
1372C22⋊C4—142no—
1373C22⋊C4—142no—
1374C22⋊C4—142no—
1375C22⋊C4—142no—
1376C22⋊C4—142no—
1377C22⋊C4—142no—
1378C22⋊C4—142no—
1379C22⋊C4—142no—
1380C22⋊C4—142no—
1381C22⋊C4—142no—
1382C22⋊C4—142no—
1383C22⋊C4—142no—
1384C22⋊C4—142no—
1385C22⋊C4—142no—
1386C22⋊C4—142no—
1387C22⋊C4—142no—
1388C22⋊C4—142no—
1389C22⋊C4—142no—
1390C22⋊C4—142no—
1391C22⋊C4—142no—
1392C22⋊C4—142no—
1393C22⋊C4—142no—
1394C22⋊C4—142no—
1395C22⋊C4—142no—
1396C22⋊C4—142no—
1397C22⋊C4—281no—
1398C22⋊C4—281no—
1399C22⋊C4—281no—
1400C22⋊C4—281no—
1401C22⋊C4—281no—
1402C22⋊C4—281no—
1403C22⋊C4—281no—
1404C22⋊C4—281no—
1405C22⋊C4—281no—
1406C22⋊C4—281no—
1407C22⋊C4—281no—
1408C22⋊C4—281no—
1409C22⋊C4—281no—
1410C22⋊C4—281no—
1411C22⋊C4—281no—
1412C22⋊C4—281no—
1413C22⋊C4—281no—
1414C22⋊C4—281no—
1415C22⋊C4—281no—
1416C22⋊C4—281no—
1417C22⋊C4—281no—
1418C22⋊C4#116114yescomplemented
1419C42—22no—
1420C42—41no—
1421C42—41no—
1422C42—41no—
1423C42—142no—
1424C42—142no—
1425C42—281no—
1426C42—281no—
1427C42—281no—
1428C42—281no—
1429C42—281no—
1430C42—281no—
1431C42—281no—
1432C42—281no—
1433C2×C7—42no—
1434C2×C7#348111yescharacteristic
1435C2×C7#348111yescharacteristic
1436C2×C7#348111yescharacteristic
1437C2×C7#349011yescharacteristic
1438C2×C7#350811yescharacteristic
1439C2×C7#350811yescharacteristic
1440C2×C7#353711yescharacteristic
1441D7—42no—
1442D7—42no—
1443D7—42no—
1444D7—81no—
1445D7—81no—
1446D7—81no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—72no—
1454C23—72no—
1455C23—72no—
1456C23—141no—
1457C23—141no—
1458C23—141no—
1459C23—141no—
1460C23—141no—
1461C23—141no—
1462C23—141no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—141no—
1468C23—141no—
1469C23—141no—
1470C23—141no—
1471C23—141no—
1472C23—141no—
1473C23—141no—
1474C23—141no—
1475C23—141no—
1476C23—141no—
1477C23—141no—
1478C23—141no—
1479C23—141no—
1480C23—141no—
1481C23—141no—
1482C23—141no—
1483C23—141no—
1484C23—141no—
1485C23—141no—
1486C23—141no—
1487C23—141no—
1488C23—141no—
1489C23—141no—
1490C23—141no—
1491C23—141no—
1492C23—141no—
1493C23—141no—
1494C23—141no—
1495C23—284no—
1496C23—284no—
1497C23—284no—
1498C23—562no—
1499C23—562no—
1500C23—562no—
1501C23—562no—
1502C23C2×#116112yes—
1503C23C24×D711yescharacteristic
1504Q8—44no—
1505D4—284no—
1506D4—284no—
1507D4—284no—
1508D4—284no—
1509D4—284no—
1510D4—284no—
1511D4—284no—
1512D4—284no—
1513D4—284no—
1514D4—284no—
1515D4—284no—
1516D4—562no—
1517D4—562no—
1518D4—562no—
1519D4—562no—
1520D4—562no—
1521D4—562no—
1522D4—562no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—72no—
1560C2×C4—72no—
1561C2×C4—72no—
1562C2×C4—82no—
1563C2×C4—148no—
1564C2×C4—141no—
1565C2×C4—141no—
1566C2×C4—141no—
1567C2×C4—141no—
1568C2×C4—141no—
1569C2×C4—141no—
1570C2×C4—141no—
1571C2×C4—141no—
1572C2×C4—141no—
1573C2×C4—141no—
1574C2×C4—141no—
1575C2×C4—141no—
1576C2×C4—141no—
1577C2×C4—141no—
1578C2×C4—141no—
1579C2×C4—141no—
1580C2×C4—141no—
1581C2×C4—141no—
1582C2×C4—141no—
1583C2×C4—141no—
1584C2×C4—141no—
1585C2×C4—141no—
1586C2×C4—141no—
1587C2×C4—141no—
1588C2×C4—141no—
1589C2×C4—141no—
1590C2×C4—141no—
1591C2×C4—284no—
1592C2×C4—284no—
1593C2×C4—284no—
1594C2×C4—284no—
1595C2×C4—562no—
1596C2×C4—562no—
1597C2×C4—562no—
1598C2×C4—562no—
1599C2×C4—562no—
1600C2×C4—562no—
1601C2×C4C2×#116112yes—
1602C2×C4C2×#116112yes—
1603C2×C4D7×#4112yes—
1604C2×C4D7×#4112yes—
1605C2×C4#655312yes—
1606C2×C4#655312yes—
1607C7#6003411yescharacteristic, complemented, Sylow
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—142no—
1616C22—142no—
1617C22—142no—
1618C22—142no—
1619C22—142no—
1620C22—142no—
1621C22—142no—
1622C22—142no—
1623C22—142no—
1624C22—281no—
1625C22—281no—
1626C22—281no—
1627C22—281no—
1628C22—281no—
1629C22—281no—
1630C22—281no—
1631C22—281no—
1632C22—281no—
1633C22—281no—
1634C22—281no—
1635C22—281no—
1636C22—281no—
1637C22—281no—
1638C22—281no—
1639C22—281no—
1640C22—281no—
1641C22—281no—
1642C22—281no—
1643C22—281no—
1644C22—281no—
1645C22—281no—
1646C22—281no—
1647C22—281no—
1648C22—281no—
1649C22—281no—
1650C22—281no—
1651C22—281no—
1652C22—281no—
1653C22—281no—
1654C22—281no—
1655C22—281no—
1656C22—281no—
1657C22—568no—
1658C22C22×#116111yescharacteristic
1659C22C2×D7×#4111yescharacteristic
1660C22C2×D7×#4111yescharacteristic
1661C22C2×#655311yescharacteristic
1662C22C2×#655311yescharacteristic
1663C22D7×H(5,𝔽2)11yescharacteristic
1664C22D7×H(5,𝔽2)11yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—22no—
1669C4—22no—
1670C4—22no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—142no—
1680C4—142no—
1681C4—142no—
1682C4—281no—
1683C4—281no—
1684C4—281no—
1685C4—281no—
1686C4—281no—
1687C4—281no—
1688C4—281no—
1689C2—42no—
1690C2—282no—
1691C2—282no—
1692C2—282no—
1693C2—561no—
1694C2—561no—
1695C2—561no—
1696C2#1174322111yescharacteristic
1697C2#1174332911yescharacteristic
1698C2#1174346411yescharacteristic
1699C2#1174388311yescharacteristic
1700C2#1174399211yescharacteristic
1701C2#1174399211yescharacteristic
1702C2#1174411911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2589C2
hypercenter#2589D7
hypocenterC7#60034
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2589

Complements

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

NH ≅ G/Ntype
1. C7×#2589C2semidirect
2. #11735686C2semidirect
3. #11735606C2semidirect
4. #11735552C2semidirect
5. #11735471C2semidirect
6. #11735441C2semidirect
7. #11735198C2semidirect
8. #11734308C2semidirect
9. #11734242C2semidirect
10. #11734071C2semidirect
11. #11733998C2semidirect
12. #11733984C2semidirect
13. #11733923C2semidirect
14. #11733541C2semidirect
15. #11733409C2semidirect
16. #11733372C2semidirect
17. #11733357C2semidirect
18. #11733281C2semidirect
19. #11732933C2semidirect
20. #11732819C2semidirect
21. #11732777C2semidirect
22. #11732768C2semidirect
23. #11732478C2semidirect
24. #11732041C2semidirect
25. #11732041C2semidirect
26. #11731877C2semidirect
27. #11731872C2semidirect
28. #11731112C2semidirect
29. #11731098C2semidirect
30. #11731042C2semidirect
31. C4×#6447C2semidirect
33. C2×#6510C22semidirect
40. C2×#6458C22semidirect
43. C2×#6457C22semidirect
44. C2×#6457C22semidirect
48. C2×#6456C22semidirect
49. C2×#6455C22semidirect
61. C2×C4×D28C22semidirect
62. C2×C42×D7C22semidirect
63. C7×#400C22semidirect
65. C7×#398C22semidirect
67. C7×#391C22semidirect
68. C7×#391C22semidirect
69. C7×#389C22semidirect
72. C7×#387C22semidirect
73. C7×#387C22semidirect
76. C4×C7×C4⋊C4C22semidirect
79. #90002C22semidirect
80. #89766C22semidirect
81. #89766C22semidirect
82. #89765C22semidirect
85. #89763C22semidirect
88. #89762C22semidirect
89. #89762C22semidirect
90. #89762C22semidirect
91. #89762C22semidirect
99. #89760C22semidirect
100. #89759C22semidirect
101. #89756C22semidirect
102. #89753C22semidirect
103. C4⋊C4×Dic7C22semidirect
120. #89712C22semidirect
125. #89711C22semidirect
127. C4×(C2×D7)⋊C4C22semidirect
128. C4×(C2×D7)⋊C4C22semidirect
129. C4×C4⋊Dic7C22semidirect
130. C4×Dic7⋊C4C22semidirect
133. #89447C22semidirect
134. #89446C22semidirect
135. #89446C22semidirect
137. #89444C22semidirect
144. #89443C22semidirect
145. #89443C22semidirect
146. #89442C22semidirect
147. #89442C22semidirect
148. #89442C22semidirect
151. #89441C22semidirect
152. #89441C22semidirect
154. #89439C22semidirect
159. #89438C22semidirect
160. #89438C22semidirect
161. #89438C22semidirect
173. #89437C22semidirect
174. #89437C22semidirect
175. #89437C22semidirect
176. #89437C22semidirect
177. #89437C22semidirect
178. #89437C22semidirect
180. #89431C22semidirect
181. #89427C22semidirect
182. #89427C22semidirect
183. #89426C22semidirect
184. #89426C22semidirect
185. #89425C22semidirect
186. #89419C22semidirect
383. #2589D7semidirect
553. C7×C22⋊C4#41semidirect
605. (C2×D7)⋊C4#41semidirect
660. #400C2×D7semidirect
666. #398C2×D7semidirect
692. #391C2×D7semidirect
693. #391C2×D7semidirect
708. #389C2×D7semidirect
733. #387C2×D7semidirect
734. #387C2×D7semidirect
769. C4×C4⋊C4C2×D7semidirect
1418. C22⋊C4#1161semidirect
1607. C7#60034semidirect

Maximal subgroups

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

subgroupindex
C7×#25892
#117356862
#117356062
#117355522
#117354712
#117354412
#117351982
#117343082
#117342422
#117340712
#117339982
#117339842
#117339232
#117335412
#117334092
#117333722
#117333572
#117332812
#117329332
#117328192
#117327772
#117327682
#117324782
#117320412
#117318772
#117318722
#117311122
#117310982
#117310422
C4×#64472
#600347