Finite Group Databasebeta

← #13561330

Subgroups — #13561330

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×#90348C211yesmaximal, characteristic, complemented
2C2×#90353C211yesmaximal, characteristic, complemented
3C7×#2854C211yesmaximal, characteristic, complemented
4#11740313C211yesmaximal, characteristic, complemented
5#11740312C211yesmaximal, characteristic, complemented
6#11740164C211yesmaximal, characteristic, complemented
7#11740158C211yesmaximal, characteristic, complemented
8#11739522C211yesmaximal, characteristic, complemented
9#11739510C211yesmaximal, characteristic, complemented
10#11733906C211yesmaximal, characteristic, complemented
11#11733882C211yesmaximal, characteristic, complemented
12#11733842C211yesmaximal, characteristic, complemented
13#11733817C211yesmaximal, characteristic, complemented
14#11733709C211yesmaximal, characteristic, complemented
15#11733703C211yesmaximal, characteristic, complemented
16#11733542C211yesmaximal, characteristic, complemented
17#11733440C211yesmaximal, characteristic, complemented
18#11733370C211yesmaximal, characteristic, complemented
19#11733364C211yesmaximal, characteristic, complemented
20#11733335C211yesmaximal, characteristic, complemented
21#11733139C211yesmaximal, characteristic, complemented
22#11733122C211yesmaximal, characteristic, complemented
23#11733091C211yesmaximal, characteristic, complemented
24#11733088C211yesmaximal, characteristic, complemented
25#11733064C211yesmaximal, characteristic, complemented
26#11732367C211yesmaximal, characteristic, complemented
27#11732364C211yesmaximal, characteristic, complemented
28#11732267C211yesmaximal, characteristic, complemented
29#11732246C211yesmaximal, characteristic, complemented
30#11731482C211yesmaximal, characteristic, complemented
31#11731416C211yesmaximal, characteristic, complemented
32C2×C7×#123C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic, complemented
34C2×C7×#121C2211yescharacteristic
35C22×C42×C7C2211yescharacteristic, complemented
36C2×#6502C2211yescharacteristic
37C2×#6501C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×#6500C2211yescharacteristic
40C2×#6499C2211yescharacteristic, complemented
41C2×#6493C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C2×#6487C2211yescharacteristic, complemented
44#90353—28no—
45#90348—28no—
46C2×#6461C2211yescharacteristic
47C2×#6461C2211yescharacteristic
48C2×#6460C2211yescharacteristic
49C2×#6459C2211yescharacteristic
50C2×#6459C2211yescharacteristic, complemented
51C2×#6457C2211yescharacteristic
52C2×#6456C2211yescharacteristic
53C2×#6451C2211yescharacteristic, complemented
54C2×#6450C2211yescharacteristic, complemented
55C2×#6448C2211yescharacteristic
56C2×#6448C2211yescharacteristic
57C2×#6448C2211yescharacteristic
58C2×#6448C2211yescharacteristic
59C2×#6447C2211yescharacteristic
60C2×#6446C2211yescharacteristic
61C2×#6445C2211yescharacteristic
62C2×D7×C22⋊C4C2211yescharacteristic
63C2×#6442C2211yescharacteristic
64C2×#6442C2211yescharacteristic, complemented
65C2×#6441C2211yescharacteristic, complemented
66C2×#6440C2211yescharacteristic, complemented
67C2×#6438C2211yescharacteristic
68C2×#6435C2211yescharacteristic
69C7×#390C2211yescharacteristic
70C7×#390C2211yescharacteristic
71C7×#389C2211yescharacteristic, complemented
72C7×#389C2211yescharacteristic, complemented
73C7×#388C2211yescharacteristic
74C7×#388C2211yescharacteristic
75C7×#388C2211yescharacteristic, complemented
76C7×#388C2211yescharacteristic, complemented
77C7×#386C2211yescharacteristic
78C7×#386C2211yescharacteristic, complemented
79C7×#380C2211yescharacteristic, complemented
80#89995C2211yescharacteristic
81#89995C2211yescharacteristic
82#89995C2211yescharacteristic, complemented
83#89994C2211yescharacteristic
84#89994C2211yescharacteristic
85#89994C2211yescharacteristic
86#89992C2211yescharacteristic
87#89985C2211yescharacteristic
88#89985C2211yescharacteristic
89#89985C2211yescharacteristic
90#89985C2211yescharacteristic
91#89985C2211yescharacteristic, complemented
92#89985C2211yescharacteristic, complemented
93#89982C2211yescharacteristic, complemented
94#89982C2211yescharacteristic, complemented
95C4×C22⋊Dic7C2211yescharacteristic, complemented
96#89766C2211yescharacteristic
97#89765C2211yescharacteristic
98#89764C2211yescharacteristic
99#89763C2211yescharacteristic
100#89763C2211yescharacteristic
101#89762C2211yescharacteristic
102#89762C2211yescharacteristic
103#89762C2211yescharacteristic, complemented
104#89762C2211yescharacteristic, complemented
105#89761C2211yescharacteristic
106#89758C2211yescharacteristic, complemented
107#89755C2211yescharacteristic, complemented
108#89753C2211yescharacteristic, complemented
109#89751C2211yescharacteristic, complemented
110#89751C2211yescharacteristic, complemented
111#89751C2211yescharacteristic, complemented
112#89744C2211yescharacteristic, complemented
113#89744C2211yescharacteristic, complemented
114#89744C2211yescharacteristic, complemented
115#89732C2211yescharacteristic
116#89732C2211yescharacteristic
117#89731C2211yescharacteristic
118#89731C2211yescharacteristic
119#89731C2211yescharacteristic
120#89731C2211yescharacteristic
121#89731C2211yescharacteristic
122#89731C2211yescharacteristic, complemented
123#89730C2211yescharacteristic
124#89730C2211yescharacteristic, complemented
125#89729C2211yescharacteristic
126#89729C2211yescharacteristic
127#89729C2211yescharacteristic
128#89729C2211yescharacteristic, complemented
129#89728C2211yescharacteristic
130#89728C2211yescharacteristic, complemented
131#89727C2211yescharacteristic
132#89727C2211yescharacteristic
133#89727C2211yescharacteristic
134#89725C2211yescharacteristic, complemented
135#89724C2211yescharacteristic
136#89724C2211yescharacteristic
137#89724C2211yescharacteristic, complemented
138#89724C2211yescharacteristic, complemented
139#89721C2211yescharacteristic
140#89720C2211yescharacteristic
141#89720C2211yescharacteristic, complemented
142#89719C2211yescharacteristic
143#89719C2211yescharacteristic
144#89719C2211yescharacteristic
145#89719C2211yescharacteristic, complemented
146#89718C2211yescharacteristic, complemented
147#89717C2211yescharacteristic
148#89717C2211yescharacteristic
149#89717C2211yescharacteristic
150#89717C2211yescharacteristic, complemented
151#89712C2211yescharacteristic
152#89712C2211yescharacteristic
153#89712C2211yescharacteristic
154#89712C2211yescharacteristic
155#89712C2211yescharacteristic, complemented
156#89712C2211yescharacteristic, complemented
157#89711C2211yescharacteristic
158C4×(C2×D7)⋊C4C2211yescharacteristic
159#89708C2211yescharacteristic, complemented
160#89705C2211yescharacteristic, complemented
161#89705C2211yescharacteristic, complemented
162#89704C2211yescharacteristic, complemented
163C4×Dic7⋊C4C2211yescharacteristic, complemented
164#89701C2211yescharacteristic, complemented
165#89448C2211yescharacteristic
166#89447C2211yescharacteristic
167#89447C2211yescharacteristic
168#89447C2211yescharacteristic
169#89447C2211yescharacteristic, complemented
170#89445C2211yescharacteristic
171#89445C2211yescharacteristic
172#89445C2211yescharacteristic, complemented
173#89444C2211yescharacteristic
174#89444C2211yescharacteristic
175#89441C2211yescharacteristic
176#89441C2211yescharacteristic
177#89440C2211yescharacteristic, complemented
178#89439C2211yescharacteristic, complemented
179#89436C2211yescharacteristic
180#89436C2211yescharacteristic
181#89430C2211yescharacteristic, complemented
182#89429C2211yescharacteristic, complemented
183#89427C2211yescharacteristic, complemented
184#89427C2211yescharacteristic, complemented
185#89424C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36745—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×Dic14C2311yescharacteristic
211C22×Dic14C2311yescharacteristic
212C22×Dic14C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C7×#123—24no—
215C7×#123—24no—
216C7×#121—42no—
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×C22⋊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×C7—42no—
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256#6502—24no—
257#6501—24no—
258#6500—24no—
259#6500—42no—
260#6499—24no—
261#6493—24no—
262C4×C22⋊D7D418yescomplemented
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×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296#6487—24no—
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321#6461—24no—
322#6461—24no—
323#6460—24no—
324#6459—24no—
325#6459—42no—
326#6457—24no—
327#6456—24no—
328#6451—24no—
329#6450—24no—
330#6448—24no—
331#6448—24no—
332#6448—24no—
333#6448—24no—
334#6447—24no—
335#6446—24no—
336#6445—24no—
337D7×C22⋊C4—24no—
338#6442—24no—
339#6442—24no—
340#6441—24no—
341#6440—24no—
342#6438—42no—
343#6435—42no—
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#2854D711yescharacteristic, complemented
383#2850—71no—
384#2723—71no—
385#2716—71no—
386#2715—71no—
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
413C24×C7C2411yescharacteristic
414C23×D7—22no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7—41no—
418C23×D7—41no—
419C23×D7—41no—
420C23×D7—41no—
421C23×D7C2411yescharacteristic
422C23×D7C2411yescharacteristic
423C23×D7C2411yescharacteristic
424C2×C7×D4—22no—
425C2×C7×D4—22no—
426C2×C7×D4—22no—
427C2×C7×D4—41no—
428C2×C7×D4—41no—
429C2×C7×D4—41no—
430C2×C7×D4—41no—
431C2×C7×D4—41no—
432C2×C7×D4—41no—
433C22×C4×C7—22no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
437C22×C4×C7—41no—
438C22×C4×C7—41no—
439C22×C4×C7—41no—
440C22×C4×C7—41no—
441C22×C4×C7C2×D414yes—
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—22no—
457C2×C22⋊D7—22no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7—41no—
465C2×C22⋊D7—41no—
466C2×C22⋊D7—41no—
467C2×C22⋊D7—41no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C2×C22⋊D7—41no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7C2×D414yes—
475C22×Dic7—22no—
476C22×Dic7—41no—
477C22×Dic7—41no—
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C2×D28—22no—
492C2×D28—22no—
493C2×D28—41no—
494C2×D28—41no—
495C2×D28—41no—
496C2×D28—41no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7C2×D414yes—
506C2×Dic14—22no—
507C2×Dic14—22no—
508C2×Dic14—22no—
509C2×Dic14—22no—
510C2×Dic14—41no—
511C2×Dic14—41no—
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—22no—
523C7×C4⋊C4—41no—
524C7×C4⋊C4—41no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—22no—
531C7×C22⋊C4—41no—
532C7×C22⋊C4—41no—
533C7×C22⋊C4—41no—
534C7×C22⋊C4—41no—
535C7×C22⋊C4—41no—
536C7×C22⋊C4—41no—
537C42×C7—22no—
538C42×C7—22no—
539C42×C7—41no—
540C42×C7—41no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—41no—
548C22⋊Dic7—41no—
549C22⋊Dic7—41no—
550C22⋊Dic7—41no—
551C22⋊Dic7—41no—
552C22⋊Dic7—41no—
553C22⋊Dic7—41no—
554C22⋊Dic7—41no—
555C22⋊Dic7C2×D414yes—
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—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—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—
589Dic7⋊C4—22no—
590Dic7⋊C4—22no—
591Dic7⋊C4—22no—
592Dic7⋊C4—22no—
593Dic7⋊C4—22no—
594Dic7⋊C4—22no—
595Dic7⋊C4—22no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598Dic7⋊C4—41no—
599Dic7⋊C4—41no—
600Dic7⋊C4—41no—
601Dic7⋊C4—41no—
602Dic7⋊C4—41no—
603Dic7⋊C4—41no—
604Dic7⋊C4—41no—
605Dic7⋊C4C2×D414yes—
606C4×Dic7—22no—
607C4×Dic7—22no—
608C4×Dic7—22no—
609C4×Dic7—22no—
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×#126—71no—
620C2×#124—71no—
621C2×#124—71no—
622C2×#124—71no—
623C2×#124—71no—
624C2×#124—71no—
625C2×#124—71no—
626C2×#123—71no—
627C2×#123—71no—
628C2×#123C2×D711yescharacteristic
629C2×#123C2×D711yescharacteristic, complemented
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×#121C2×D711yescharacteristic
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×C42C2×D711yescharacteristic, complemented
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#397—71no—
665#397—71no—
666#396—71no—
667#396—71no—
668#396—71no—
669#396—71no—
670#395—71no—
671#395—71no—
672#395—71no—
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#394—71no—
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#391—71no—
702#390—71no—
703#390—71no—
704#390—71no—
705#390—71no—
706#390—71no—
707#390C2×D711yescharacteristic
708#390C2×D711yescharacteristic
709#389—71no—
710#389—71no—
711#389—71no—
712#389C2×D711yescharacteristic, complemented
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#388C2×D711yescharacteristic
731#388C2×D711yescharacteristic
732#388C2×D711yescharacteristic, complemented
733#388C2×D711yescharacteristic, complemented
734#387—71no—
735#387—71no—
736#387—71no—
737#387—71no—
738#387—71no—
739#387—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#386C2×D711yescharacteristic
752#386C2×D711yescharacteristic, complemented
753#385—71no—
754#385—71no—
755#385—71no—
756#385—71no—
757#385—71no—
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×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7C22×D412yes—
791C23×C7C2511yescharacteristic
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×D4—82no—
821C7×D4—82no—
822C7×D4—82no—
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—44no—
857C2×C4×C7—44no—
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—
868C22⋊D7—82no—
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—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—44no—
906C2×Dic7C22×D412yes—
907C2×Dic7C22×D412yes—
908C2×Dic7C22×D412yes—
909D28—44no—
910D28—82no—
911C4×D7—44no—
912C4×D7—82no—
913C4×D7—82no—
914Dic14—44no—
915Dic14—82no—
916Dic14—82no—
917Dic14—82no—
918C25—71no—
919C22×Q8—71no—
920C22×Q8—71no—
921C22×Q8—71no—
922C22×Q8—71no—
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×D4C22×D711yescharacteristic
933C22×D4C22×D711yescharacteristic
934C22×D4C22×D711yescharacteristic
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4C22×D711yescharacteristic
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942C4⋊Q8—144no—
943#126—144no—
944#126—144no—
945#126—144no—
946#126—144no—
947#124—144no—
948#124—144no—
949#124—144no—
950#124—144no—
951#124—144no—
952#124—282no—
953#123—24no—
954#123—24no—
955#123—144no—
956#123—144no—
957C22⋊Q8—144no—
958C22⋊Q8—144no—
959C22⋊Q8—144no—
960C22⋊Q8—144no—
961C22⋊Q8—282no—
962#121—42no—
963#121—144no—
964#121—144no—
965#121—144no—
966#121—144no—
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⋊C4—71no—
995C2×C4⋊C4—71no—
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—144no—
1048C2×C22⋊C4C22×D711yescharacteristic
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—42no—
1061C2×C42—71no—
1062C2×C42—71no—
1063C2×C42—71no—
1064C2×C42—71no—
1065C2×C42—71no—
1066C2×C42—71no—
1067C2×C42—71no—
1068C2×C42C22×D711yescharacteristic
1069C2×C42C22×D711yescharacteristic
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#95—71no—
1099#95—71no—
1100#95—71no—
1101#95—71no—
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×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7—41no—
1127C22×C7—41no—
1128C22×C7—41no—
1129C22×C7C23×D411yescharacteristic
1130C22×C7C2×H(5,𝔽2)11yescharacteristic
1131C22×C7#58511yescharacteristic
1132C22×C7#58511yescharacteristic
1133C22×C7#58511yescharacteristic
1134C22×C7#58511yescharacteristic
1135C22×C7#58511yescharacteristic
1136C2×D7—22no—
1137C2×D7—22no—
1138C2×D7—22no—
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—
1170Dic7—22no—
1171Dic7—22no—
1172Dic7—22no—
1173Dic7—41no—
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—142no—
1187C24—281no—
1188C24—281no—
1189C24—281no—
1190C24—281no—
1191C24—281no—
1192C24—281no—
1193C24C23×D711yescharacteristic
1194C24C23×D711yescharacteristic
1195C24C23×D711yescharacteristic
1196C2×Q8—142no—
1197C2×Q8—142no—
1198C2×Q8—142no—
1199C2×Q8—142no—
1200C2×Q8—281no—
1201C2×Q8—281no—
1202C2×Q8—281no—
1203C2×Q8—281no—
1204C2×Q8—281no—
1205C2×Q8—281no—
1206C2×Q8—281no—
1207C2×Q8—281no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—74no—
1218C2×D4—142no—
1219C2×D4—142no—
1220C2×D4—142no—
1221C2×D4—142no—
1222C2×D4—142no—
1223C2×D4—142no—
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—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—71no—
1253C22×C4—71no—
1254C22×C4—71no—
1255C22×C4—74no—
1256C22×C4—71no—
1257C22×C4—71no—
1258C22×C4—71no—
1259C22×C4—71no—
1260C22×C4—71no—
1261C22×C4—71no—
1262C22×C4—71no—
1263C22×C4—71no—
1264C22×C4—71no—
1265C22×C4—71no—
1266C22×C4—142no—
1267C22×C4—142no—
1268C22×C4—142no—
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×C4D4×D714yes—
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—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—74no—
1298C4⋊C4—142no—
1299C4⋊C4—142no—
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—281no—
1310C4⋊C4—281no—
1311C4⋊C4—281no—
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—41no—
1329C22⋊C4—41no—
1330C22⋊C4—74no—
1331C22⋊C4—74no—
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—142no—
1349C22⋊C4—142no—
1350C22⋊C4—142no—
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⋊C4—281no—
1374C42—22no—
1375C42—22no—
1376C42—41no—
1377C42—41no—
1378C42—74no—
1379C42—142no—
1380C42—142no—
1381C42—142no—
1382C42—142no—
1383C42—281no—
1384C42—281no—
1385C2×C7—42no—
1386C2×C7—81no—
1387C2×C7—81no—
1388C2×C7#344911yescharacteristic
1389C2×C7#349611yescharacteristic
1390C2×C7#350011yescharacteristic
1391C2×C7#353311yescharacteristic
1392C2×C7#354011yescharacteristic
1393C2×C7#356611yescharacteristic
1394C2×C7#356811yescharacteristic
1395D7—42no—
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—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—72no—
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—284no—
1449Q8—562no—
1450Q8—562no—
1451Q8—562no—
1452D4—82no—
1453D4—82no—
1454D4—82no—
1455D4—284no—
1456D4—284no—
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—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—72no—
1501C2×C4—72no—
1502C2×C4—72no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—284no—
1540C2×C4—284no—
1541C2×C4—562no—
1542C2×C4—562no—
1543C2×C4C2×D4×D712yes—
1544C2×C4C2×D4×D712yes—
1545C2×C4#654812yes—
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—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—142no—
1569C22—142no—
1570C22—142no—
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×#654811yescharacteristic
1592C22#9061611yescharacteristic
1593C22#9061611yescharacteristic
1594C22#9061611yescharacteristic
1595C22#9061611yescharacteristic
1596C22#9061611yescharacteristic
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—142no—
1610C4—142no—
1611C4—142no—
1612C4—281no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C4—281no—
1621C4—281no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—282no—
1626C2—561no—
1627C2—561no—
1628C2#1174301811yescharacteristic
1629C2#1174308411yescharacteristic
1630C2#1174310011yescharacteristic
1631C2#1174321211yescharacteristic
1632C2#1174325211yescharacteristic
1633C2#1174330311yescharacteristic
1634C2#1174331211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2854C2
hypercenter#2854D7
hypocenterC7#36745
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2854

Complements

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

NH ≅ G/Ntype
1. C2×#90348C2semidirect
2. C2×#90353C2semidirect
3. C7×#2854C2semidirect
4. #11740313C2semidirect
5. #11740312C2semidirect
6. #11740164C2semidirect
7. #11740158C2semidirect
8. #11739522C2semidirect
9. #11739510C2semidirect
10. #11733906C2semidirect
11. #11733882C2semidirect
12. #11733842C2semidirect
13. #11733817C2semidirect
14. #11733709C2semidirect
15. #11733703C2semidirect
16. #11733542C2semidirect
17. #11733440C2semidirect
18. #11733370C2semidirect
19. #11733364C2semidirect
20. #11733335C2semidirect
21. #11733139C2semidirect
22. #11733122C2semidirect
23. #11733091C2semidirect
24. #11733088C2semidirect
25. #11733064C2semidirect
26. #11732367C2semidirect
27. #11732364C2semidirect
28. #11732267C2semidirect
29. #11732246C2semidirect
30. #11731482C2semidirect
31. #11731416C2semidirect
33. C2×C7×#123C22semidirect
35. C22×C42×C7C22semidirect
40. C2×#6499C22semidirect
43. C2×#6487C22semidirect
50. C2×#6459C22semidirect
53. C2×#6451C22semidirect
54. C2×#6450C22semidirect
64. C2×#6442C22semidirect
65. C2×#6441C22semidirect
66. C2×#6440C22semidirect
71. C7×#389C22semidirect
72. C7×#389C22semidirect
75. C7×#388C22semidirect
76. C7×#388C22semidirect
78. C7×#386C22semidirect
79. C7×#380C22semidirect
82. #89995C22semidirect
91. #89985C22semidirect
92. #89985C22semidirect
93. #89982C22semidirect
94. #89982C22semidirect
95. C4×C22⋊Dic7C22semidirect
103. #89762C22semidirect
104. #89762C22semidirect
106. #89758C22semidirect
107. #89755C22semidirect
108. #89753C22semidirect
109. #89751C22semidirect
110. #89751C22semidirect
111. #89751C22semidirect
112. #89744C22semidirect
113. #89744C22semidirect
114. #89744C22semidirect
122. #89731C22semidirect
124. #89730C22semidirect
128. #89729C22semidirect
130. #89728C22semidirect
134. #89725C22semidirect
137. #89724C22semidirect
138. #89724C22semidirect
141. #89720C22semidirect
145. #89719C22semidirect
146. #89718C22semidirect
150. #89717C22semidirect
155. #89712C22semidirect
156. #89712C22semidirect
159. #89708C22semidirect
160. #89705C22semidirect
161. #89705C22semidirect
162. #89704C22semidirect
163. C4×Dic7⋊C4C22semidirect
164. #89701C22semidirect
169. #89447C22semidirect
172. #89445C22semidirect
177. #89440C22semidirect
178. #89439C22semidirect
181. #89430C22semidirect
182. #89429C22semidirect
183. #89427C22semidirect
184. #89427C22semidirect
185. #89424C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
188. #89418C22semidirect
262. C4×C22⋊D7D4semidirect
382. #2854D7semidirect
629. C2×#123C2×D7semidirect
649. C22×C42C2×D7semidirect
712. #389C2×D7semidirect
713. #389C2×D7semidirect
732. #388C2×D7semidirect
733. #388C2×D7semidirect
752. #386C2×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×#903482
C2×#903532
C7×#28542
#117403132
#117403122
#117401642
#117401582
#117395222
#117395102
#117339062
#117338822
#117338422
#117338172
#117337092
#117337032
#117335422
#117334402
#117333702
#117333642
#117333352
#117331392
#117331222
#117330912
#117330882
#117330642
#117323672
#117323642
#117322672
#117322462
#117314822
#117314162
#367457