Finite Group Databasebeta

← #13561347

Subgroups — #13561347

Order 1792.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90401C211yesmaximal, characteristic, complemented
2C2×#90369C211yesmaximal, characteristic, complemented
3C7×#2715C211yesmaximal, characteristic, complemented
4#11740560C211yesmaximal, characteristic, complemented
5#11740432C211yesmaximal, characteristic, complemented
6#11735138C211yesmaximal, characteristic, complemented
7#11735128C211yesmaximal, characteristic, complemented
8#11735022C211yesmaximal, characteristic, complemented
9#11735010C211yesmaximal, characteristic, complemented
10#11734879C211yesmaximal, characteristic, complemented
11#11734872C211yesmaximal, characteristic, complemented
12#11734859C211yesmaximal, characteristic, complemented
13#11734773C211yesmaximal, characteristic, complemented
14#11734711C211yesmaximal, characteristic, complemented
15#11734644C211yesmaximal, characteristic, complemented
16#11734585C211yesmaximal, characteristic, complemented
17#11734439C211yesmaximal, characteristic, complemented
18#11734095C211yesmaximal, characteristic, complemented
19#11734000C211yesmaximal, characteristic, complemented
20#11733655C211yesmaximal, characteristic, complemented
21#11733566C211yesmaximal, characteristic, complemented
22#11733358C211yesmaximal, characteristic, complemented
23#11733094C211yesmaximal, characteristic, complemented
24#11732819C211yesmaximal, characteristic, complemented
25#11732607C211yesmaximal, characteristic, complemented
26#11732356C211yesmaximal, characteristic, complemented
27#11732314C211yesmaximal, characteristic, complemented
28#11731954C211yesmaximal, characteristic, complemented
29#11731822C211yesmaximal, characteristic, complemented
30#11731482C211yesmaximal, characteristic, complemented
31#11731444C211yesmaximal, characteristic, complemented
32C2×C7×#126C2211yescharacteristic, complemented
33C2×C7×#124C2211yescharacteristic
34C2×#6510C2211yescharacteristic
35C2×#6509C2211yescharacteristic
36C2×#6502C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6493C2211yescharacteristic
39C22×C4×Dic7C2211yescharacteristic, complemented
40#90401—28no—
41#90369—28no—
42C2×#6461C2211yescharacteristic
43C2×#6460C2211yescharacteristic
44C2×#6460C2211yescharacteristic, complemented
45C2×#6459C2211yescharacteristic, complemented
46C2×#6457C2211yescharacteristic
47C2×#6455C2211yescharacteristic
48C2×#6455C2211yescharacteristic, complemented
49C2×#6451C2211yescharacteristic, complemented
50C2×#6449C2211yescharacteristic
51C2×#6449C2211yescharacteristic, complemented
52C2×#6448C2211yescharacteristic
53C2×#6448C2211yescharacteristic
54C2×#6448C2211yescharacteristic, complemented
55C2×#6447C2211yescharacteristic
56C2×#6447C2211yescharacteristic
57C2×#6447C2211yescharacteristic
58C2×#6446C2211yescharacteristic
59C2×#6445C2211yescharacteristic
60C2×#6445C2211yescharacteristic
61C2×(C22⋊D7)⋊C4C2211yescharacteristic
62C2×D7×C22⋊C4C2211yescharacteristic
63C2×#6442C2211yescharacteristic
64C2×#6441C2211yescharacteristic, complemented
65C2×#6439C2211yescharacteristic
66C2×#6438C2211yescharacteristic
67C2×C4×D28C2211yescharacteristic
68C2×C4×Dic14C2211yescharacteristic, complemented
69C7×#397C2211yescharacteristic
70C7×#397C2211yescharacteristic, complemented
71C7×#396C2211yescharacteristic
72C7×#396C2211yescharacteristic
73C7×#395C2211yescharacteristic, complemented
74C7×#394C2211yescharacteristic
75C7×#391C2211yescharacteristic, complemented
76C7×#389C2211yescharacteristic, complemented
77C7×#388C2211yescharacteristic
78C7×#387C2211yescharacteristic, complemented
79C7×#386C2211yescharacteristic
80C7×#385C2211yescharacteristic, complemented
81C7×#380C2211yescharacteristic, complemented
82#90003C2211yescharacteristic, complemented
83#90002C2211yescharacteristic, complemented
84#89995C2211yescharacteristic
85#89992C2211yescharacteristic
86#89985C2211yescharacteristic
87#89985C2211yescharacteristic, complemented
88#89766C2211yescharacteristic
89#89766C2211yescharacteristic, complemented
90#89765C2211yescharacteristic
91#89765C2211yescharacteristic
92#89764C2211yescharacteristic
93#89763C2211yescharacteristic
94#89763C2211yescharacteristic
95#89763C2211yescharacteristic
96#89763C2211yescharacteristic
97#89762C2211yescharacteristic
98#89762C2211yescharacteristic
99#89762C2211yescharacteristic, complemented
100#89761C2211yescharacteristic
101#89761C2211yescharacteristic, complemented
102#89761C2211yescharacteristic, complemented
103#89760C2211yescharacteristic
104#89760C2211yescharacteristic
105#89760C2211yescharacteristic
106#89760C2211yescharacteristic, complemented
107#89759C2211yescharacteristic, complemented
108#89757C2211yescharacteristic, complemented
109#89757C2211yescharacteristic, complemented
110#89757C2211yescharacteristic, complemented
111#89756C2211yescharacteristic, complemented
112#89756C2211yescharacteristic, complemented
113#89751C2211yescharacteristic, complemented
114#89750C2211yescharacteristic, complemented
115C4⋊C4×Dic7C2211yescharacteristic, complemented
116#89733C2211yescharacteristic
117#89733C2211yescharacteristic
118#89733C2211yescharacteristic
119#89733C2211yescharacteristic
120#89732C2211yescharacteristic
121#89732C2211yescharacteristic, complemented
122#89731C2211yescharacteristic
123#89731C2211yescharacteristic, complemented
124#89730C2211yescharacteristic
125#89730C2211yescharacteristic
126#89730C2211yescharacteristic, complemented
127#89730C2211yescharacteristic, complemented
128#89729C2211yescharacteristic
129#89729C2211yescharacteristic
130#89728C2211yescharacteristic
131#89727C2211yescharacteristic
132#89727C2211yescharacteristic
133#89727C2211yescharacteristic
134#89724C2211yescharacteristic, complemented
135#89723C2211yescharacteristic
136#89723C2211yescharacteristic
137#89723C2211yescharacteristic
138#89722C2211yescharacteristic, complemented
139#89721C2211yescharacteristic
140#89719C2211yescharacteristic
141#89719C2211yescharacteristic
142#89716C2211yescharacteristic
143#89716C2211yescharacteristic
144C22⋊C4×Dic7C2211yescharacteristic, complemented
145#89712C2211yescharacteristic, complemented
146#89711C2211yescharacteristic
147#89705C2211yescharacteristic, complemented
148#89701C2211yescharacteristic, complemented
149#89447C2211yescharacteristic
150#89447C2211yescharacteristic, complemented
151#89447C2211yescharacteristic, complemented
152#89446C2211yescharacteristic
153#89446C2211yescharacteristic
154#89445C2211yescharacteristic
155#89445C2211yescharacteristic
156#89445C2211yescharacteristic
157#89445C2211yescharacteristic, complemented
158#89444C2211yescharacteristic
159#89444C2211yescharacteristic
160#89443C2211yescharacteristic
161#89443C2211yescharacteristic
162#89442C2211yescharacteristic
163#89442C2211yescharacteristic
164#89442C2211yescharacteristic
165#89442C2211yescharacteristic
166#89442C2211yescharacteristic, complemented
167#89442C2211yescharacteristic, complemented
168#89442C2211yescharacteristic, complemented
169#89442C2211yescharacteristic, complemented
170#89441C2211yescharacteristic
171#89441C2211yescharacteristic, complemented
172#89438C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89436C2211yescharacteristic
178#89436C2211yescharacteristic
179#89432C2211yescharacteristic, complemented
180#89430C2211yescharacteristic, complemented
181#89428C2211yescharacteristic, complemented
182#89427C2211yescharacteristic, complemented
183#89425C2211yescharacteristic, complemented
184#89424C2211yescharacteristic, complemented
185#89422C2211yescharacteristic, complemented
186#89420C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36745—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×Dic14C2311yescharacteristic
212C22×Dic14C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C7×#126—24no—
215C7×#124—24no—
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×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245#6510—24no—
246#6509—24no—
247#6502—24no—
248#6500—24no—
249#6493—42no—
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×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×C4×Dic7—42no—
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#6461—24no—
318#6460—24no—
319#6460—42no—
320#6459—24no—
321#6457—24no—
322#6455—24no—
323#6455—42no—
324#6451—24no—
325#6449—24no—
326#6449—24no—
327#6448—24no—
328#6448—24no—
329#6448—42no—
330#6447—24no—
331#6447—24no—
332#6447—24no—
333#6446—24no—
334#6445—24no—
335#6445—42no—
336(C22⋊D7)⋊C4D418yescomplemented
337D7×C22⋊C4—24no—
338#6442—24no—
339#6441—24no—
340#6439—24no—
341#6438—24no—
342C4×D28—24no—
343C4×Dic14—24no—
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
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C2×#542—71no—
381C2×#538—71no—
382#2854—71no—
383#2850—71no—
384#2723—71no—
385#2716—71no—
386#2715D711yescharacteristic, complemented
387#2712—71no—
388#2700—71no—
389#2698—71no—
390#2696—71no—
391#2691—71no—
392#2688—71no—
393#2686—71no—
394#2685—71no—
395#2684—71no—
396#2676—71no—
397#2674—71no—
398#2670—71no—
399#2668—71no—
400#2663—71no—
401#2661—71no—
402#2610—71no—
403#2604—71no—
404#2602—71no—
405#2601—71no—
406#2592—71no—
407#2561—71no—
408#2415—71no—
409#2411—71no—
410#2290—71no—
411C24×C7C2411yescharacteristic
412C24×C7C2411yescharacteristic
413C23×D7—22no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7—41no—
418C23×D7—41no—
419C23×D7—41no—
420C23×D7C2411yescharacteristic
421C23×D7C2411yescharacteristic
422C23×D7C2411yescharacteristic
423C23×D7C2411yescharacteristic
424C2×C7×Q8—22no—
425C2×C7×Q8—41no—
426C2×C7×Q8—41no—
427C2×C7×D4—22no—
428C2×C7×D4—41no—
429C2×C7×D4—41no—
430C22×C4×C7—22no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7C2×D414yes—
464C22×Dic7—41no—
465C22×Dic7—41no—
466C22×Dic7—41no—
467C22×Dic7—41no—
468C22×Dic7—41no—
469C22×Dic7C2×D414yes—
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C2×D28—22no—
483C2×D28—22no—
484C2×D28—22no—
485C2×D28—22no—
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×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7C2×D414yes—
509C2×Dic14—22no—
510C2×Dic14—22no—
511C2×Dic14—22no—
512C2×Dic14—41no—
513C2×Dic14—41no—
514C2×Dic14—41no—
515C2×Dic14—41no—
516C2×Dic14—41no—
517C2×Dic14—41no—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—22no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4—41no—
524C7×C4⋊C4—41no—
525C7×C4⋊C4—41no—
526C7×C4⋊C4—41no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—22no—
531C7×C22⋊C4—22no—
532C7×C22⋊C4—22no—
533C7×C22⋊C4—41no—
534C7×C22⋊C4—41no—
535C7×C22⋊C4—41no—
536C7×C22⋊C4—41no—
537C7×C22⋊C4C2×D414yes—
538C42×C7—22no—
539C42×C7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7—41no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4—41no—
582(C2×D7)⋊C4—41no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4C2×D414yes—
585C4⋊Dic7—22no—
586C4⋊Dic7—22no—
587C4⋊Dic7—22no—
588C4⋊Dic7—22no—
589C4⋊Dic7—22no—
590C4⋊Dic7—22no—
591C4⋊Dic7—41no—
592C4⋊Dic7—41no—
593C4⋊Dic7—41no—
594Dic7⋊C4—22no—
595Dic7⋊C4—22no—
596Dic7⋊C4—22no—
597Dic7⋊C4—22no—
598Dic7⋊C4—22no—
599Dic7⋊C4—22no—
600Dic7⋊C4—41no—
601Dic7⋊C4—41no—
602Dic7⋊C4—41no—
603Dic7⋊C4C2×D414yes—
604C4×Dic7—22no—
605C4×Dic7—22no—
606C4×Dic7—22no—
607C4×Dic7—22no—
608C4×Dic7—41no—
609C4×Dic7—41no—
610C4×Dic7—41no—
611C4×Dic7—41no—
612C4×Dic7C2×D414yes—
613#542—148no—
614#538—148no—
615C2×C4⋊Q8—71no—
616C2×#126—71no—
617C2×#126—71no—
618C2×#126—71no—
619C2×#126C2×D711yescharacteristic, complemented
620C2×#124—71no—
621C2×#124—71no—
622C2×#124—71no—
623C2×#124—71no—
624C2×#124—71no—
625C2×#124C2×D711yescharacteristic
626C2×#123—71no—
627C2×#123—71no—
628C2×#123—71no—
629C2×#123—71no—
630C2×C22⋊Q8—71no—
631C2×C22⋊Q8—71no—
632C2×C22⋊Q8—71no—
633C2×C22⋊Q8—71no—
634C2×C22⋊Q8—71no—
635C2×#121—71no—
636C2×#121—71no—
637C2×#121—71no—
638C2×#121—71no—
639C2×#121—71no—
640C2×#120—71no—
641C2×#120—71no—
642C2×#120—71no—
643C2×C4×Q8—71no—
644C2×C4×D4—71no—
645C2×C4×D4—71no—
646C2×#117—71no—
647C2×#117—71no—
648C22×C22⋊C4—71no—
649C22×C42—71no—
650#400—71no—
651#400—71no—
652#399—71no—
653#399—71no—
654#398—71no—
655#398—71no—
656#397—71no—
657#397—71no—
658#397—71no—
659#397—71no—
660#397—71no—
661#397—71no—
662#397—71no—
663#397—71no—
664#397C2×D711yescharacteristic
665#397C2×D711yescharacteristic, complemented
666#396—71no—
667#396—71no—
668#396C2×D711yescharacteristic
669#396C2×D711yescharacteristic
670#395—71no—
671#395—71no—
672#395C2×D711yescharacteristic, complemented
673#394—71no—
674#394—71no—
675#394—71no—
676#394—71no—
677#394—71no—
678#394—71no—
679#394—71no—
680#394—71no—
681#394—71no—
682#394—71no—
683#394—71no—
684#394—71no—
685#394C2×D711yescharacteristic
686#393—71no—
687#393—71no—
688#393—71no—
689#393—71no—
690#393—71no—
691#393—71no—
692#393—71no—
693#392—71no—
694#392—71no—
695#392—71no—
696#392—71no—
697#392—71no—
698#391—71no—
699#391—71no—
700#391—71no—
701#391C2×D711yescharacteristic, complemented
702#390—71no—
703#390—71no—
704#390—71no—
705#390—71no—
706#390—71no—
707#390—71no—
708#390—71no—
709#389—71no—
710#389—71no—
711#389—71no—
712#389—71no—
713#389C2×D711yescharacteristic, complemented
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#388—71no—
726#388—71no—
727#388—71no—
728#388—71no—
729#388—71no—
730#388—71no—
731#388—71no—
732#388—71no—
733#388C2×D711yescharacteristic
734#387—71no—
735#387—71no—
736#387—71no—
737#387—71no—
738#387—71no—
739#387C2×D711yescharacteristic, complemented
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#386C2×D711yescharacteristic
753#385—71no—
754#385—71no—
755#385—71no—
756#385—71no—
757#385C2×D711yescharacteristic, complemented
758#382—71no—
759#381—71no—
760#381—71no—
761#380—71no—
762#380C2×D711yescharacteristic, complemented
763#379—71no—
764#379—71no—
765#379—71no—
766C4×C4⋊C4—71no—
767C4×C22⋊C4—71no—
768C4×C22⋊C4—71no—
769#376—71no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7C22×D412yes—
784C23×C7C2511yescharacteristic
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—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—44no—
813C22×D7—82no—
814C22×D7—82no—
815C22×D7—82no—
816C22×D7—82no—
817C22×D7—82no—
818C22×D7—82no—
819C22×D7C22×D412yes—
820C7×Q8—82no—
821C7×D4—82no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—21no—
858C2×C4×C7—44no—
859C2×C4×C7C22×D412yes—
860C2×C4×C7C22×D412yes—
861C2×C4×C7H(5,𝔽2)12yes—
862C22⋊D7—44no—
863C22⋊D7—82no—
864C22⋊D7—82no—
865C22⋊D7—82no—
866C22⋊D7—82no—
867C22⋊D7—82no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—44no—
902C2×Dic7—44no—
903C2×Dic7C22×D412yes—
904C2×Dic7C22×D412yes—
905C2×Dic7C22×D412yes—
906D28—44no—
907D28—82no—
908D28—82no—
909D28—82no—
910D28—82no—
911C4×D7—44no—
912C4×D7—44no—
913C4×D7—82no—
914C4×D7—82no—
915Dic14—44no—
916Dic14—82no—
917Dic14—82no—
918C25—71no—
919C22×Q8—71no—
920C22×Q8—71no—
921C22×Q8—71no—
922C22×Q8C22×D711yescharacteristic
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
927C22×D4—71no—
928C22×D4—71no—
929C22×D4—71no—
930C22×D4—71no—
931C22×D4—71no—
932C22×D4—71no—
933C22×D4—71no—
934C22×D4C22×D711yescharacteristic
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4—71no—
940C23×C4—71no—
941C23×C4C22×D711yescharacteristic
942C4⋊Q8—144no—
943#126—24no—
944#126—144no—
945#126—144no—
946#126—144no—
947#124—24no—
948#124—144no—
949#124—144no—
950#124—144no—
951#124—144no—
952#124—282no—
953#123—144no—
954#123—144no—
955#123—144no—
956#123—144no—
957C22⋊Q8—144no—
958C22⋊Q8—144no—
959C22⋊Q8—144no—
960C22⋊Q8—144no—
961C22⋊Q8—282no—
962#121—144no—
963#121—144no—
964#121—144no—
965#121—144no—
966#121—282no—
967#120—144no—
968#120—144no—
969#120—282no—
970C4×Q8—144no—
971C4×D4—78no—
972C4×D4—144no—
973#117—144no—
974#117—282no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4—71no—
994C2×C4⋊C4C22×D711yescharacteristic
995C2×C4⋊C4C22×D711yescharacteristic
996C2×C4⋊C4C22×D711yescharacteristic
997C2×C4⋊C4C22×D711yescharacteristic
998C2×C4⋊C4C22×D711yescharacteristic
999C2×C4⋊C4C22×D711yescharacteristic
1000C2×C4⋊C4C22×D711yescharacteristic
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—144no—
1049C2×C22⋊C4C22×D711yescharacteristic
1050C2×C22⋊C4C22×D711yescharacteristic
1051C2×C22⋊C4C22×D711yescharacteristic
1052C2×C22⋊C4C22×D711yescharacteristic
1053C2×C22⋊C4C22×D711yescharacteristic
1054C2×C22⋊C4C22×D711yescharacteristic
1055C2×C22⋊C4C22×D711yescharacteristic
1056C2×C22⋊C4C22×D711yescharacteristic
1057C2×C22⋊C4C22×D711yescharacteristic
1058C2×C22⋊C4C22×D711yescharacteristic
1059C2×C22⋊C4C22×D711yescharacteristic
1060C2×C42—71no—
1061C2×C42—71no—
1062C2×C42—71no—
1063C2×C42—71no—
1064C2×C42—71no—
1065C2×C42—71no—
1066C2×C42—71no—
1067C2×C42—71no—
1068C2×C42—71no—
1069C2×C42—282no—
1070C2×C42C22×D711yescharacteristic
1071C2×C42C22×D711yescharacteristic
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95—71no—
1092#95—71no—
1093#95—71no—
1094#95—71no—
1095#95—71no—
1096#95—71no—
1097#95—71no—
1098#95C22×D711yescharacteristic
1099#95C22×D711yescharacteristic
1100#95C22×D711yescharacteristic
1101#95C22×D711yescharacteristic
1102#95C22×D711yescharacteristic
1103#95C22×D711yescharacteristic
1104#95C22×D711yescharacteristic
1105#95C22×D711yescharacteristic
1106#95C22×D711yescharacteristic
1107#95C22×D711yescharacteristic
1108C22×C7—22no—
1109C22×C7—22no—
1110C22×C7—22no—
1111C22×C7—41no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7C23×D411yescharacteristic
1123C22×C7C2×H(5,𝔽2)11yescharacteristic
1124C22×C7#58511yescharacteristic
1125C22×C7#58511yescharacteristic
1126C22×C7#58511yescharacteristic
1127C22×C7#58511yescharacteristic
1128C22×C7#58511yescharacteristic
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—22no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C2×D7—88no—
1158C4×C7—22no—
1159C4×C7—22no—
1160C4×C7—22no—
1161C4×C7—41no—
1162C4×C7—41no—
1163C4×C7—41no—
1164C4×C7—41no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7—41no—
1168C4×C7—41no—
1169C4×C7—41no—
1170C4×C7—41no—
1171Dic7—22no—
1172Dic7—22no—
1173Dic7—22no—
1174Dic7—41no—
1175Dic7—41no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7—41no—
1183C24—71no—
1184C24—71no—
1185C24—71no—
1186C24—71no—
1187C24—142no—
1188C24—281no—
1189C24—281no—
1190C24—281no—
1191C24—281no—
1192C24—281no—
1193C24—281no—
1194C24C23×D711yescharacteristic
1195C24C23×D711yescharacteristic
1196C2×Q8—22no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—142no—
1200C2×Q8—142no—
1201C2×Q8—142no—
1202C2×Q8—281no—
1203C2×Q8—281no—
1204C2×Q8—281no—
1205C2×Q8—281no—
1206C2×Q8—281no—
1207C2×Q8—281no—
1208C2×D4—22no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—74no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—142no—
1215C2×D4—142no—
1216C2×D4—142no—
1217C2×D4—142no—
1218C2×D4—142no—
1219C2×D4—142no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—281no—
1225C2×D4—281no—
1226C2×D4—281no—
1227C2×D4—281no—
1228C2×D4—281no—
1229C2×D4—281no—
1230C2×D4—281no—
1231C2×D4—281no—
1232C2×D4—281no—
1233C2×D4—281no—
1234C2×D4—281no—
1235C2×D4—281no—
1236C2×D4—281no—
1237C2×D4—281no—
1238C2×D4—281no—
1239C2×D4—281no—
1240C2×D4—281no—
1241C2×D4—281no—
1242C2×D4—281no—
1243C2×D4—281no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—71no—
1248C22×C4—71no—
1249C22×C4—71no—
1250C22×C4—74no—
1251C22×C4—74no—
1252C22×C4—71no—
1253C22×C4—71no—
1254C22×C4—71no—
1255C22×C4—71no—
1256C22×C4—71no—
1257C22×C4—71no—
1258C22×C4—71no—
1259C22×C4—71no—
1260C22×C4—71no—
1261C22×C4—142no—
1262C22×C4—142no—
1263C22×C4—142no—
1264C22×C4—281no—
1265C22×C4—281no—
1266C22×C4—281no—
1267C22×C4—281no—
1268C22×C4—281no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4—281no—
1275C22×C4—281no—
1276C22×C4—281no—
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C22×C4C23×D711yescharacteristic
1289C22×C4C23×D711yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—74no—
1300C4⋊C4—142no—
1301C4⋊C4—142no—
1302C4⋊C4—142no—
1303C4⋊C4—142no—
1304C4⋊C4—142no—
1305C4⋊C4—142no—
1306C4⋊C4—142no—
1307C4⋊C4—142no—
1308C4⋊C4—142no—
1309C4⋊C4—142no—
1310C4⋊C4—142no—
1311C4⋊C4—142no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C4⋊C4—281no—
1315C4⋊C4—281no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—74no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
1335C22⋊C4—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—142no—
1341C22⋊C4—142no—
1342C22⋊C4—142no—
1343C22⋊C4—142no—
1344C22⋊C4—142no—
1345C22⋊C4—142no—
1346C22⋊C4—142no—
1347C22⋊C4—142no—
1348C22⋊C4—281no—
1349C22⋊C4—281no—
1350C22⋊C4—281no—
1351C22⋊C4—281no—
1352C22⋊C4—281no—
1353C22⋊C4—281no—
1354C22⋊C4—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4—281no—
1364C22⋊C4—281no—
1365C22⋊C4—281no—
1366C22⋊C4—281no—
1367C22⋊C4—281no—
1368C22⋊C4—281no—
1369C22⋊C4—281no—
1370C22⋊C4—281no—
1371C22⋊C4—281no—
1372C22⋊C4—281no—
1373C22⋊C4D4×D714yes—
1374C42—22no—
1375C42—22no—
1376C42—74no—
1377C42—142no—
1378C42—142no—
1379C42—142no—
1380C42—142no—
1381C42—281no—
1382C42—281no—
1383C42—281no—
1384C42—281no—
1385C2×C7—42no—
1386C2×C7—81no—
1387C2×C7#344911yescharacteristic
1388C2×C7#349611yescharacteristic
1389C2×C7#350011yescharacteristic
1390C2×C7#353311yescharacteristic
1391C2×C7#354011yescharacteristic
1392C2×C7#356611yescharacteristic
1393C2×C7#356811yescharacteristic
1394D7—42no—
1395D7—81no—
1396D7—81no—
1397D7—81no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—72no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—141no—
1432C23—141no—
1433C23—141no—
1434C23—141no—
1435C23—141no—
1436C23—141no—
1437C23—141no—
1438C23—141no—
1439C23—284no—
1440C23—562no—
1441C23—562no—
1442C23—562no—
1443C23—562no—
1444C23—562no—
1445C23—562no—
1446C23C2×D4×D712yes—
1447C23C24×D711yescharacteristic
1448Q8—82no—
1449Q8—284no—
1450Q8—562no—
1451Q8—562no—
1452D4—82no—
1453D4—284no—
1454D4—284no—
1455D4—562no—
1456D4—562no—
1457D4—562no—
1458D4—562no—
1459D4—562no—
1460D4—562no—
1461D4—562no—
1462D4—562no—
1463D4—562no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—44no—
1501C2×C4—72no—
1502C2×C4—72no—
1503C2×C4—72no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—284no—
1538C2×C4—284no—
1539C2×C4—284no—
1540C2×C4—284no—
1541C2×C4—562no—
1542C2×C4—562no—
1543C2×C4C2×D4×D712yes—
1544C2×C4C2×D4×D712yes—
1545C2×C4#655312yes—
1546C7#3674511yescharacteristic, complemented, Sylow
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—142no—
1562C22—142no—
1563C22—142no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22—281no—
1576C22—281no—
1577C22—281no—
1578C22—281no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22—281no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22—281no—
1588C22—281no—
1589C22—568no—
1590C22C22×D4×D711yescharacteristic
1591C22C2×#655311yescharacteristic
1592C22#9061611yescharacteristic
1593C22#9061811yescharacteristic
1594C22#9061811yescharacteristic
1595C22#9062011yescharacteristic
1596C22#9062011yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—142no—
1611C4—142no—
1612C4—142no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C4—281no—
1621C4—281no—
1622C2—42no—
1623C2—81no—
1624C2—282no—
1625C2—561no—
1626C2—561no—
1627C2—561no—
1628C2#1174343111yescharacteristic
1629C2#1174346211yescharacteristic
1630C2#1174361611yescharacteristic
1631C2#1174370011yescharacteristic
1632C2#1174377011yescharacteristic
1633C2#1174407611yescharacteristic
1634C2#1174419311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2715C2
hypercenter#2715D7
hypocenterC7#36745
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2715

Complements

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

NH ≅ G/Ntype
1. C2×#90401C2semidirect
2. C2×#90369C2semidirect
3. C7×#2715C2semidirect
4. #11740560C2semidirect
5. #11740432C2semidirect
6. #11735138C2semidirect
7. #11735128C2semidirect
8. #11735022C2semidirect
9. #11735010C2semidirect
10. #11734879C2semidirect
11. #11734872C2semidirect
12. #11734859C2semidirect
13. #11734773C2semidirect
14. #11734711C2semidirect
15. #11734644C2semidirect
16. #11734585C2semidirect
17. #11734439C2semidirect
18. #11734095C2semidirect
19. #11734000C2semidirect
20. #11733655C2semidirect
21. #11733566C2semidirect
22. #11733358C2semidirect
23. #11733094C2semidirect
24. #11732819C2semidirect
25. #11732607C2semidirect
26. #11732356C2semidirect
27. #11732314C2semidirect
28. #11731954C2semidirect
29. #11731822C2semidirect
30. #11731482C2semidirect
31. #11731444C2semidirect
32. C2×C7×#126C22semidirect
39. C22×C4×Dic7C22semidirect
44. C2×#6460C22semidirect
45. C2×#6459C22semidirect
48. C2×#6455C22semidirect
49. C2×#6451C22semidirect
51. C2×#6449C22semidirect
54. C2×#6448C22semidirect
64. C2×#6441C22semidirect
68. C2×C4×Dic14C22semidirect
70. C7×#397C22semidirect
73. C7×#395C22semidirect
75. C7×#391C22semidirect
76. C7×#389C22semidirect
78. C7×#387C22semidirect
80. C7×#385C22semidirect
81. C7×#380C22semidirect
82. #90003C22semidirect
83. #90002C22semidirect
87. #89985C22semidirect
89. #89766C22semidirect
99. #89762C22semidirect
101. #89761C22semidirect
102. #89761C22semidirect
106. #89760C22semidirect
107. #89759C22semidirect
108. #89757C22semidirect
109. #89757C22semidirect
110. #89757C22semidirect
111. #89756C22semidirect
112. #89756C22semidirect
113. #89751C22semidirect
114. #89750C22semidirect
115. C4⋊C4×Dic7C22semidirect
121. #89732C22semidirect
123. #89731C22semidirect
126. #89730C22semidirect
127. #89730C22semidirect
134. #89724C22semidirect
138. #89722C22semidirect
144. C22⋊C4×Dic7C22semidirect
145. #89712C22semidirect
147. #89705C22semidirect
148. #89701C22semidirect
150. #89447C22semidirect
151. #89447C22semidirect
157. #89445C22semidirect
166. #89442C22semidirect
167. #89442C22semidirect
168. #89442C22semidirect
169. #89442C22semidirect
171. #89441C22semidirect
175. #89437C22semidirect
176. #89437C22semidirect
179. #89432C22semidirect
180. #89430C22semidirect
181. #89428C22semidirect
182. #89427C22semidirect
183. #89425C22semidirect
184. #89424C22semidirect
185. #89422C22semidirect
186. #89420C22semidirect
187. #89419C22semidirect
188. #89418C22semidirect
336. (C22⋊D7)⋊C4D4semidirect
386. #2715D7semidirect
619. C2×#126C2×D7semidirect
665. #397C2×D7semidirect
672. #395C2×D7semidirect
701. #391C2×D7semidirect
713. #389C2×D7semidirect
739. #387C2×D7semidirect
757. #385C2×D7semidirect
762. #380C2×D7semidirect
1546. C7#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#904012
C2×#903692
C7×#27152
#117405602
#117404322
#117351382
#117351282
#117350222
#117350102
#117348792
#117348722
#117348592
#117347732
#117347112
#117346442
#117345852
#117344392
#117340952
#117340002
#117336552
#117335662
#117333582
#117330942
#117328192
#117326072
#117323562
#117323142
#117319542
#117318222
#117314822
#117314442
#367457