Finite Group Databasebeta

← #13561679

Subgroups — #13561679

Order 1792.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2480C211yesmaximal, characteristic, complemented
2#11740562C211yesmaximal, characteristic, complemented
3#11740561C211yesmaximal, characteristic, complemented
4C2×#89728C211yesmaximal, characteristic, complemented
5#11739554C211yesmaximal, characteristic, complemented
6#11735168C211yesmaximal, characteristic, complemented
7#11735159C211yesmaximal, characteristic, complemented
8#11735156C211yesmaximal, characteristic, complemented
9#11735139C211yesmaximal, characteristic, complemented
10#11735071C211yesmaximal, characteristic, complemented
11#11735022C211yesmaximal, characteristic, complemented
12#11734889C211yesmaximal, characteristic, complemented
13#11734874C211yesmaximal, characteristic, complemented
14#11733396C211yesmaximal, characteristic, complemented
15#11733394C211yesmaximal, characteristic, complemented
16#11733391C211yesmaximal, characteristic, complemented
17#11733184C211yesmaximal, characteristic, complemented
18#11733154C211yesmaximal, characteristic, complemented
19#11733128C211yesmaximal, characteristic, complemented
20#11732100C211yesmaximal, characteristic, complemented
21#11732037C211yesmaximal, characteristic, complemented
22#11731855C211yesmaximal, characteristic, complemented
23#11731853C211yesmaximal, characteristic, complemented
24#11731493C211yesmaximal, characteristic, complemented
25#11731362C211yesmaximal, characteristic, complemented
26#11731300C211yesmaximal, characteristic, complemented
27#11731300C211yesmaximal, characteristic, complemented
28#11731274C211yesmaximal, characteristic, complemented
29#11731271C211yesmaximal, characteristic, complemented
30#11731014C211yesmaximal, characteristic, complemented
31#11730949C211yesmaximal, characteristic, complemented
32C23×C22⋊D7C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×#126C2211yescharacteristic, complemented
35C22×C7×C22⋊C4C2211yescharacteristic
36C2×#6516C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C22×C22⋊Dic7C2211yescharacteristic
39C2×#6493C2211yescharacteristic
40C2×C4×C22⋊D7C2211yescharacteristic
41C22×(C2×D7)⋊C4C2211yescharacteristic
42C2×#6459C2211yescharacteristic, complemented
43C2×#6459C2211yescharacteristic, complemented
44C2×#6458C2211yescharacteristic, complemented
45C2×#6458C2211yescharacteristic, complemented
46C2×#6449C2211yescharacteristic
47C2×#6449C2211yescharacteristic
48C2×#6448C2211yescharacteristic, complemented
49C2×#6447C2211yescharacteristic, complemented
50C2×#6446C2211yescharacteristic, complemented
51C2×#6445C2211yescharacteristic
52C2×#6445C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic
54C2×#6441C2211yescharacteristic
55C7×#397C2211yescharacteristic, complemented
56C7×#397C2211yescharacteristic, complemented
57C7×#397C2211yescharacteristic, complemented
58C7×#396C2211yescharacteristic, complemented
59C7×#388C2211yescharacteristic, complemented
60C7×#388C2211yescharacteristic, complemented
61C7×#388C2211yescharacteristic, complemented
62C7×#385C2211yescharacteristic
63C7×#385C2211yescharacteristic
64C7×#380C2211yescharacteristic
65C7×#379C2211yescharacteristic
66C7×#379C2211yescharacteristic
67C4×C7×C22⋊C4C2211yescharacteristic
68#89985C2211yescharacteristic
69#89982C2211yescharacteristic
70C2×C7⋊#95C2211yescharacteristic
71C2×C7⋊#95C2211yescharacteristic
72#89766C2211yescharacteristic, complemented
73#89765C2211yescharacteristic, complemented
74#89763C2211yescharacteristic, complemented
75#89762C2211yescharacteristic, complemented
76#89762C2211yescharacteristic, complemented
77#89761C2211yescharacteristic, complemented
78#89761C2211yescharacteristic, complemented
79#89761C2211yescharacteristic, complemented
80#89760C2211yescharacteristic, complemented
81#89760C2211yescharacteristic, complemented
82#89759C2211yescharacteristic, complemented
83#89759C2211yescharacteristic, complemented
84#89759C2211yescharacteristic, complemented
85#89758C2211yescharacteristic, complemented
86#89757C2211yescharacteristic, complemented
87#89756C2211yescharacteristic, complemented
88#89754C2211yescharacteristic, complemented
89#89753C2211yescharacteristic, complemented
90#89753C2211yescharacteristic, complemented
91#89750C2211yescharacteristic, complemented
92#89733C2211yescharacteristic
93#89733C2211yescharacteristic
94#89733C2211yescharacteristic
95#89733C2211yescharacteristic
96#89733C2211yescharacteristic
97#89733C2211yescharacteristic
98#89733C2211yescharacteristic
99#89733C2211yescharacteristic
100#89733C2211yescharacteristic, complemented
101#89733C2211yescharacteristic, complemented
102#89732C2211yescharacteristic
103#89732C2211yescharacteristic
104#89732C2211yescharacteristic
105#89732C2211yescharacteristic
106#89732C2211yescharacteristic
107#89732C2211yescharacteristic
108#89732C2211yescharacteristic
109#89732C2211yescharacteristic
110#89732C2211yescharacteristic, complemented
111#89731C2211yescharacteristic, complemented
112#89731C2211yescharacteristic, complemented
113#89731C2211yescharacteristic, complemented
114#89731C2211yescharacteristic, complemented
115#89730C2211yescharacteristic
116#89730C2211yescharacteristic
117#89730C2211yescharacteristic
118#89729C2211yescharacteristic, complemented
119#89729C2211yescharacteristic, complemented
120#89728C2211yescharacteristic
121#89728C2211yescharacteristic
122#89728C2211yescharacteristic
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic
125#89728C2211yescharacteristic
126#89728C2211yescharacteristic
127#89728C2211yescharacteristic
128#89728C2211yescharacteristic, complemented
129#89728C2211yescharacteristic, complemented
130#89727C2211yescharacteristic
131#89727C2211yescharacteristic
132#89724C2211yescharacteristic, complemented
133#89724C2211yescharacteristic, complemented
134#89723C2211yescharacteristic, complemented
135#89723C2211yescharacteristic, complemented
136#89723C2211yescharacteristic, complemented
137#89722C2211yescharacteristic
138#89721C2211yescharacteristic, complemented
139#89720C2211yescharacteristic, complemented
140#89719C2211yescharacteristic, complemented
141#89717C2211yescharacteristic, complemented
142#89716C2211yescharacteristic, complemented
143#89715C2211yescharacteristic
144#89715C2211yescharacteristic
145#89714C2211yescharacteristic
146C22⋊C4×Dic7C2211yescharacteristic
147#89712C2211yescharacteristic, complemented
148#89712C2211yescharacteristic, complemented
149#89712C2211yescharacteristic, complemented
150#89712C2211yescharacteristic, complemented
151#89711C2211yescharacteristic, complemented
152#89711C2211yescharacteristic, complemented
153#89708C2211yescharacteristic, complemented
154#89701C2211yescharacteristic, complemented
155#89447C2211yescharacteristic, complemented
156#89446C2211yescharacteristic, complemented
157#89446C2211yescharacteristic, complemented
158#89445C2211yescharacteristic, complemented
159#89442C2211yescharacteristic, complemented
160#89442C2211yescharacteristic, complemented
161#89442C2211yescharacteristic, complemented
162#89441C2211yescharacteristic, complemented
163#89441C2211yescharacteristic, complemented
164#89440C2211yescharacteristic, complemented
165#89440C2211yescharacteristic, complemented
166#89439C2211yescharacteristic, complemented
167#89439C2211yescharacteristic, complemented
168#89437C2211yescharacteristic, complemented
169#89437C2211yescharacteristic, complemented
170#89437C2211yescharacteristic, complemented
171#89437C2211yescharacteristic, complemented
172#89437C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89437C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89436C2211yescharacteristic, complemented
178C7⋊#401C2211yescharacteristic, complemented
179#89433C2211yescharacteristic, complemented
180#89432C2211yescharacteristic, complemented
181#89432C2211yescharacteristic, complemented
182#89431C2211yescharacteristic, complemented
183#89431C2211yescharacteristic, complemented
184#89427C2211yescharacteristic, complemented
185#89426C2211yescharacteristic, complemented
186#89423C2211yescharacteristic, complemented
187#36758—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C22×C22⋊D7—24no—
193C22×C22⋊D7—42no—
194C22×C22⋊D7—42no—
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C22×D28C2311yescharacteristic
209C22×D28C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×D28C2311yescharacteristic
212C22×D28C2311yescharacteristic
213C22×C4×D7—42no—
214C22×C4×D7—42no—
215C22×C4×D7—42no—
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×Dic14C2311yescharacteristic
223C7×#126—42no—
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×C22⋊C4—42no—
231C2×C7×C22⋊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×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C42×C7C2311yescharacteristic
248C2×C42×C7C2311yescharacteristic
249#6516—42no—
250#6516—42no—
251C2×C22⋊Dic7—42no—
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262#6493—42no—
263C4×C22⋊D7—42no—
264C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317#6459—42no—
318#6459—42no—
319#6458—42no—
320#6458—42no—
321#6449—42no—
322#6449—42no—
323#6448—42no—
324#6447—42no—
325#6446—42no—
326#6445—24no—
327#6445—24no—
328(C22⋊D7)⋊C4—42no—
329#6441—42no—
330C7×#95C2311yescharacteristic
331C7×#95C2311yescharacteristic
332C7×#95C2311yescharacteristic
333C7×#95C2311yescharacteristic
334C7×#95C2311yescharacteristic
335C7×#95C2311yescharacteristic
336C7×#95C2311yescharacteristic
337C7×#95C2311yescharacteristic
338C7⋊#95C2311yescharacteristic
339C7⋊#95C2311yescharacteristic
340C7⋊#95C2311yescharacteristic
341C7⋊#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370#2848—71no—
371#2847—71no—
372#2797—71no—
373#2781—71no—
374#2779—71no—
375#2778—71no—
376#2778—71no—
377#2756—71no—
378#2753—71no—
379#2749—71no—
380#2741—71no—
381#2730—71no—
382#2714—71no—
383#2703—71no—
384#2702—71no—
385#2696—71no—
386#2688—71no—
387#2676—71no—
388#2613—71no—
389#2613—71no—
390#2493—71no—
391#2488—71no—
392#2480D711yescharacteristic, complemented
393#2472—71no—
394#2425—71no—
395#2424—71no—
396#2419—71no—
397#2418—71no—
398#2321—71no—
399#2321—71no—
400C2×#386—71no—
401C24×C7—22no—
402C24×C7—22no—
403C24×C7—22no—
404C24×C7—41no—
405C24×C7—41no—
406C24×C7—41no—
407C24×C7—41no—
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C24×C7C2411yescharacteristic
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7#4114yes—
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C23×D7C2411yescharacteristic
422C22×C4×C7—22no—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—41no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
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
440C2×C22⋊D7—22no—
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—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⋊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—416no—
471C22×Dic7—22no—
472C22×Dic7—22no—
473C22×Dic7—22no—
474C22×Dic7—22no—
475C22×Dic7—22no—
476C22×Dic7—22no—
477C22×Dic7—41no—
478C22×Dic7—41no—
479C22×Dic7—41no—
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C2×D28—22no—
493C2×D28—22no—
494C2×D28—22no—
495C2×D28—22no—
496C2×D28—22no—
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×C4×D7—22no—
508C2×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—416no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7—41no—
523C2×C4×D7—41no—
524C2×C4×D7—41no—
525C2×C4×D7—41no—
526C2×Dic14—22no—
527C2×Dic14—41no—
528C2×Dic14—41no—
529C7×C4⋊C4—22no—
530C7×C4⋊C4—22no—
531C7×C4⋊C4—41no—
532C7×C4⋊C4—41no—
533C7×C4⋊C4—41no—
534C7×C4⋊C4—41no—
535C7×C22⋊C4—22no—
536C7×C22⋊C4—22no—
537C7×C22⋊C4—22no—
538C7×C22⋊C4—22no—
539C7×C22⋊C4—22no—
540C7×C22⋊C4—22no—
541C7×C22⋊C4—41no—
542C7×C22⋊C4—41no—
543C7×C22⋊C4—41no—
544C7×C22⋊C4—41no—
545C7×C22⋊C4—41no—
546C7×C22⋊C4—41no—
547C7×C22⋊C4—41no—
548C7×C22⋊C4—41no—
549C7×C22⋊C4—41no—
550C7×C22⋊C4—41no—
551C42×C7—41no—
552C42×C7—41no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—41no—
558C22⋊Dic7—41no—
559C22⋊Dic7—41no—
560C22⋊Dic7—41no—
561C22⋊Dic7—41no—
562C22⋊Dic7—41no—
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)⋊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—
595C4⋊Dic7—41no—
596C4⋊Dic7—41no—
597C4⋊Dic7—41no—
598C4⋊Dic7—41no—
599C4⋊Dic7—41no—
600C4⋊Dic7—41no—
601C4⋊Dic7—41no—
602C4⋊Dic7—41no—
603Dic7⋊C4—22no—
604Dic7⋊C4—22no—
605Dic7⋊C4—41no—
606Dic7⋊C4—41no—
607Dic7⋊C4—41no—
608Dic7⋊C4—41no—
609Dic7⋊C4—41no—
610Dic7⋊C4—41no—
611C4×Dic7—41no—
612C4×Dic7—41no—
613C4×Dic7—41no—
614C4×Dic7—41no—
615C23×D4—71no—
616C24×C4—71no—
617C2×#126C2×D711yescharacteristic, complemented
618C2×#124—71no—
619C2×#123—71no—
620C2×#123—71no—
621C2×#123—71no—
622C2×C22⋊Q8—71no—
623C2×C22⋊Q8—71no—
624C2×C22⋊Q8—71no—
625C2×#121—71no—
626C2×#121—71no—
627C2×#121—71no—
628C2×#121—71no—
629C2×#120—71no—
630C2×#120—71no—
631C2×#120—71no—
632C2×#120—71no—
633C2×C4×D4—71no—
634C2×C4×D4—71no—
635C22×C22⋊C4—71no—
636C22×C22⋊C4—71no—
637C22×C22⋊C4C2×D711yescharacteristic
638#401—71no—
639#400—71no—
640#400—71no—
641#400—71no—
642#400—71no—
643#400—71no—
644#400—71no—
645#399—71no—
646#398—71no—
647#398—71no—
648#397—71no—
649#397—71no—
650#397—71no—
651#397—71no—
652#397—71no—
653#397—71no—
654#397C2×D711yescharacteristic, complemented
655#397C2×D711yescharacteristic, complemented
656#397C2×D711yescharacteristic, complemented
657#396—71no—
658#396—71no—
659#396C2×D711yescharacteristic, complemented
660#394—71no—
661#394—71no—
662#394—71no—
663#394—71no—
664#394—71no—
665#394—71no—
666#394—71no—
667#394—71no—
668#394—71no—
669#394—71no—
670#394—71no—
671#394—71no—
672#394—71no—
673#394—71no—
674#394—71no—
675#393—71no—
676#393—71no—
677#392—71no—
678#392—71no—
679#392—71no—
680#392—71no—
681#392—71no—
682#392—71no—
683#392—71no—
684#392—71no—
685#392—71no—
686#391—71no—
687#390—71no—
688#390—71no—
689#390—71no—
690#390—71no—
691#390—71no—
692#390—71no—
693#389—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388—71no—
698#388—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#388—71no—
703#388—71no—
704#388—71no—
705#388—71no—
706#388—71no—
707#388—71no—
708#388—71no—
709#388—71no—
710#388C2×D711yescharacteristic, complemented
711#388C2×D711yescharacteristic, complemented
712#388C2×D711yescharacteristic, complemented
713#387—71no—
714#387—71no—
715#387—71no—
716#387—71no—
717#387—71no—
718#386—71no—
719#386—71no—
720#386—71no—
721#386—71no—
722#386—71no—
723#386—71no—
724#386—71no—
725#386—71no—
726#386—71no—
727#386—71no—
728#386—71no—
729#386—71no—
730#386—71no—
731#386—71no—
732#386—71no—
733#386—71no—
734#386—71no—
735#386—71no—
736#386—71no—
737#386—71no—
738#386—71no—
739#386—71no—
740#386—71no—
741#385—71no—
742#385—71no—
743#385—71no—
744#385—71no—
745#385—71no—
746#385—71no—
747#385—71no—
748#385C2×D711yescharacteristic
749#385C2×D711yescharacteristic
750#383—71no—
751#382—71no—
752#381—71no—
753#381—71no—
754#381—71no—
755#380—71no—
756#380—71no—
757#380—71no—
758#380—71no—
759#380—71no—
760#380—71no—
761#380C2×D711yescharacteristic
762#379—71no—
763#379—71no—
764#379C2×D711yescharacteristic
765#379C2×D711yescharacteristic
766C4×C22⋊C4—71no—
767C4×C22⋊C4C2×D711yescharacteristic
768C2×#95—71no—
769C2×#95—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—44no—
789C23×C7—44no—
790C23×C7—44no—
791C23×C7—82no—
792C23×C7—82no—
793C23×C7—82no—
794C23×C7—82no—
795C23×C7C2×#4112yes—
796C23×C7H(5,𝔽2)12yes—
797C23×C7H(5,𝔽2)12yes—
798C23×C7C2511yescharacteristic
799C22×D7—28no—
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—44no—
827C22×D7—44no—
828C22×D7—44no—
829C22×D7—44no—
830C22×D7—44no—
831C22×D7—44no—
832C22×D7C2×#4112yes—
833C22×D7C2×#4112yes—
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—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—44no—
870C2×C4×C7—82no—
871C2×C4×C7H(5,𝔽2)12yes—
872C22⋊D7—44no—
873C22⋊D7—44no—
874C22⋊D7—44no—
875C22⋊D7—44no—
876C22⋊D7—44no—
877C22⋊D7—44no—
878C22⋊D7—82no—
879C22⋊D7—82no—
880C22⋊D7—82no—
881C22⋊D7—82no—
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—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—21no—
916C2×Dic7—21no—
917C2×Dic7—44no—
918C2×Dic7—44no—
919C2×Dic7—82no—
920C2×Dic7H(5,𝔽2)12yes—
921D28—82no—
922D28—82no—
923D28—82no—
924D28—82no—
925D28—82no—
926C4×D7—44no—
927C4×D7—44no—
928C4×D7—44no—
929C4×D7—44no—
930C4×D7—82no—
931C4×D7—82no—
932Dic14—82no—
933C25—71no—
934C25C22×D711yescharacteristic
935C22×Q8—71no—
936C22×D4—71no—
937C22×D4—71no—
938C22×D4—71no—
939C22×D4—71no—
940C22×D4—71no—
941C22×D4—71no—
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4—71no—
947C22×D4—71no—
948C22×D4—71no—
949C22×D4—71no—
950C22×D4—71no—
951C22×D4—144no—
952C22×D4—282no—
953C22×D4—282no—
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4—71no—
958C23×C4—71no—
959C23×C4—71no—
960C23×C4—71no—
961C23×C4—71no—
962C23×C4—71no—
963C23×C4—282no—
964C23×C4—282no—
965C23×C4—282no—
966C23×C4C22×D711yescharacteristic
967C23×C4C22×D711yescharacteristic
968#126—42no—
969#124—282no—
970#123—282no—
971#123—282no—
972#123—282no—
973C22⋊Q8—282no—
974C22⋊Q8—282no—
975C22⋊Q8—282no—
976#121—282no—
977#121—282no—
978#121—282no—
979#121—282no—
980#120—144no—
981#120—144no—
982#120—282no—
983#120—282no—
984C4×D4—282no—
985C4×D4—282no—
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⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4—71no—
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C4⋊C4C22×D711yescharacteristic
1004C2×C4⋊C4C22×D711yescharacteristic
1005C2×C4⋊C4C22×D711yescharacteristic
1006C2×C4⋊C4C22×D711yescharacteristic
1007C2×C4⋊C4C22×D711yescharacteristic
1008C2×C22⋊C4—42no—
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—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—282no—
1052C2×C22⋊C4—282no—
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×C22⋊C4C22×D711yescharacteristic
1061C2×C22⋊C4C22×D711yescharacteristic
1062C2×C22⋊C4C22×D711yescharacteristic
1063C2×C22⋊C4C22×D711yescharacteristic
1064C2×C22⋊C4C22×D711yescharacteristic
1065C2×C22⋊C4C22×D711yescharacteristic
1066C2×C22⋊C4C22×D711yescharacteristic
1067C2×C22⋊C4C22×D711yescharacteristic
1068C2×C22⋊C4C22×D711yescharacteristic
1069C2×C42—71no—
1070C2×C42—71no—
1071C2×C42—71no—
1072C2×C42—71no—
1073C2×C42C22×D711yescharacteristic
1074C2×C42C22×D711yescharacteristic
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#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95C22×D711yescharacteristic
1108#95C22×D711yescharacteristic
1109#95C22×D711yescharacteristic
1110#95C22×D711yescharacteristic
1111#95C22×D711yescharacteristic
1112#95C22×D711yescharacteristic
1113#95C22×D711yescharacteristic
1114#95C22×D711yescharacteristic
1115C22×C7—22no—
1116C22×C7—22no—
1117C22×C7—22no—
1118C22×C7—22no—
1119C22×C7—22no—
1120C22×C7—22no—
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×C7—41no—
1130C22×C7—41no—
1131C22×C7—41no—
1132C22×C7—41no—
1133C22×C7—41no—
1134C22×C7—41no—
1135C22×C7—88no—
1136C22×C7#53814yes—
1137C22×C7C22×#4111yescharacteristic
1138C22×C7C2×H(5,𝔽2)11yescharacteristic
1139C22×C7C2×H(5,𝔽2)11yescharacteristic
1140C22×C7C2×H(5,𝔽2)11yescharacteristic
1141C22×C7C2×H(5,𝔽2)11yescharacteristic
1142C22×C7#58511yescharacteristic
1143C22×C7#58511yescharacteristic
1144C2×D7—22no—
1145C2×D7—22no—
1146C2×D7—22no—
1147C2×D7—22no—
1148C2×D7—22no—
1149C2×D7—22no—
1150C2×D7—416no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
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—
1173C4×C7—22no—
1174C4×C7—41no—
1175C4×C7—41no—
1176C4×C7—41no—
1177C4×C7—41no—
1178C4×C7—41no—
1179C4×C7—41no—
1180C4×C7—41no—
1181C4×C7—41no—
1182C4×C7—41no—
1183C4×C7—41no—
1184C4×C7—41no—
1185Dic7—22no—
1186Dic7—41no—
1187Dic7—41no—
1188Dic7—41no—
1189Dic7—41no—
1190Dic7—41no—
1191Dic7—41no—
1192Dic7—41no—
1193Dic7—41no—
1194Dic7—41no—
1195Dic7—41no—
1196Dic7—41no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24—71no—
1205C24—71no—
1206C24—74no—
1207C24—71no—
1208C24—71no—
1209C24—142no—
1210C24—142no—
1211C24—281no—
1212C24—281no—
1213C24—281no—
1214C24—281no—
1215C24C23×D711yescharacteristic
1216C24C23×D711yescharacteristic
1217C24C23×D711yescharacteristic
1218C2×Q8—142no—
1219C2×Q8—281no—
1220C2×Q8—281no—
1221C2×D4—142no—
1222C2×D4—142no—
1223C2×D4—142no—
1224C2×D4—142no—
1225C2×D4—142no—
1226C2×D4—142no—
1227C2×D4—142no—
1228C2×D4—142no—
1229C2×D4—142no—
1230C2×D4—142no—
1231C2×D4—142no—
1232C2×D4—142no—
1233C2×D4—142no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—281no—
1237C2×D4—281no—
1238C2×D4—281no—
1239C2×D4—281no—
1240C2×D4—281no—
1241C2×D4—281no—
1242C2×D4—281no—
1243C2×D4—281no—
1244C2×D4—281no—
1245C2×D4—281no—
1246C2×D4—281no—
1247C2×D4—281no—
1248C2×D4—281no—
1249C2×D4—281no—
1250C2×D4—281no—
1251C2×D4—281no—
1252C2×D4—281no—
1253C2×D4—281no—
1254C2×D4—281no—
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—2816no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—71no—
1274C22×C4—71no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—71no—
1279C22×C4—71no—
1280C22×C4—71no—
1281C22×C4—71no—
1282C22×C4—71no—
1283C22×C4—71no—
1284C22×C4—71no—
1285C22×C4—142no—
1286C22×C4—142no—
1287C22×C4—142no—
1288C22×C4—142no—
1289C22×C4—142no—
1290C22×C4—142no—
1291C22×C4—142no—
1292C22×C4—142no—
1293C22×C4—142no—
1294C22×C4—142no—
1295C22×C4—281no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—281no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4—281no—
1304C22×C4—281no—
1305C22×C4—281no—
1306C22×C4—281no—
1307C22×C4—281no—
1308C22×C4—281no—
1309C22×C4—2816no—
1310C22×C4—281no—
1311C22×C4—281no—
1312C22×C4—281no—
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C22×C4C23×D711yescharacteristic
1319C22×C4C23×D711yescharacteristic
1320C22×C4C23×D711yescharacteristic
1321C22×C4C23×D711yescharacteristic
1322C22×C4C23×D711yescharacteristic
1323C22×C4C23×D711yescharacteristic
1324C22×C4C23×D711yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—142no—
1332C4⋊C4—142no—
1333C4⋊C4—281no—
1334C4⋊C4—281no—
1335C4⋊C4—281no—
1336C4⋊C4—281no—
1337C4⋊C4—281no—
1338C4⋊C4—281no—
1339C4⋊C4—281no—
1340C4⋊C4—281no—
1341C4⋊C4—281no—
1342C4⋊C4—281no—
1343C4⋊C4—281no—
1344C4⋊C4—281no—
1345C4⋊C4—281no—
1346C4⋊C4—281no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—142no—
1364C22⋊C4—142no—
1365C22⋊C4—142no—
1366C22⋊C4—142no—
1367C22⋊C4—142no—
1368C22⋊C4—142no—
1369C22⋊C4—142no—
1370C22⋊C4—142no—
1371C22⋊C4—142no—
1372C22⋊C4—142no—
1373C22⋊C4—281no—
1374C22⋊C4—281no—
1375C22⋊C4—281no—
1376C22⋊C4—281no—
1377C22⋊C4—281no—
1378C22⋊C4—281no—
1379C22⋊C4—281no—
1380C22⋊C4—281no—
1381C22⋊C4—281no—
1382C22⋊C4—281no—
1383C22⋊C4—281no—
1384C22⋊C4—281no—
1385C22⋊C4—281no—
1386C22⋊C4—281no—
1387C22⋊C4—281no—
1388C22⋊C4—281no—
1389C22⋊C4—281no—
1390C22⋊C4—281no—
1391C22⋊C4—281no—
1392C22⋊C4—281no—
1393C22⋊C4—281no—
1394C22⋊C4—281no—
1395C22⋊C4—281no—
1396C22⋊C4—281no—
1397C22⋊C4—281no—
1398C22⋊C4—281no—
1399C22⋊C4—281no—
1400C22⋊C4—281no—
1401C22⋊C4—281no—
1402C22⋊C4—281no—
1403C22⋊C4—281no—
1404C22⋊C4—281no—
1405C42—41no—
1406C42—41no—
1407C42—281no—
1408C42—281no—
1409C42—281no—
1410C42—281no—
1411C2×C7—24no—
1412C2×C7—81no—
1413C2×C7—81no—
1414C2×C7C2×#53811yescharacteristic
1415C2×C7#350511yescharacteristic
1416C2×C7#350511yescharacteristic
1417C2×C7#353211yescharacteristic
1418C2×C7#353311yescharacteristic
1419C2×C7#354211yescharacteristic
1420C2×C7#354211yescharacteristic
1421D7—42no—
1422D7—42no—
1423D7—81no—
1424D7—81no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—72no—
1447C23—72no—
1448C23—82no—
1449C23—82no—
1450C23—82no—
1451C23—82no—
1452C23—148no—
1453C23—141no—
1454C23—141no—
1455C23—141no—
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—284no—
1480C23—284no—
1481C23—284no—
1482C23—284no—
1483C23—284no—
1484C23—284no—
1485C23D7×#4112yes—
1486C23#655312yes—
1487C23#655312yes—
1488C23C24×D711yescharacteristic
1489Q8—562no—
1490D4—284no—
1491D4—284no—
1492D4—284no—
1493D4—284no—
1494D4—284no—
1495D4—284no—
1496D4—562no—
1497D4—562no—
1498D4—562no—
1499D4—562no—
1500D4—562no—
1501D4—562no—
1502D4—562no—
1503D4—562no—
1504D4—562no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
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—44no—
1541C2×C4—72no—
1542C2×C4—82no—
1543C2×C4—141no—
1544C2×C4—141no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
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—284no—
1579C2×C4—284no—
1580C2×C4—284no—
1581C2×C4—284no—
1582C2×C4—284no—
1583C2×C4—284no—
1584C2×C4—562no—
1585C2×C4—562no—
1586C2×C4—562no—
1587C2×C4#654812yes—
1588C7#3675811yescharacteristic, complemented, Sylow
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—88no—
1610C22—142no—
1611C22—142no—
1612C22—142no—
1613C22—142no—
1614C22—142no—
1615C22—142no—
1616C22—2816no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—281no—
1621C22—281no—
1622C22—281no—
1623C22—281no—
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#9039514yes—
1640C22C2×#654811yescharacteristic
1641C22C2×D7×#4111yescharacteristic
1642C22C2×#655311yescharacteristic
1643C22C2×#655311yescharacteristic
1644C22#9061611yescharacteristic
1645C22D7×H(5,𝔽2)11yescharacteristic
1646C22#9061811yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—142no—
1660C4—281no—
1661C4—281no—
1662C4—281no—
1663C4—281no—
1664C4—281no—
1665C4—281no—
1666C4—281no—
1667C4—281no—
1668C4—281no—
1669C4—281no—
1670C4—281no—
1671C2—24no—
1672C2—81no—
1673C2—81no—
1674C2—282no—
1675C2—282no—
1676C2—561no—
1677C2—561no—
1678C2#1174311211yescharacteristic
1679C2C2×#9039511yescharacteristic
1680C2#1174348311yescharacteristic
1681C2#1174371611yescharacteristic
1682C2#1174373511yescharacteristic
1683C2#1174387311yescharacteristic
1684C2#1174388711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2480C2
hypercenter#2480D7
hypocenterC7#36758
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. C7×#2480C2semidirect
2. #11740562C2semidirect
3. #11740561C2semidirect
4. C2×#89728C2semidirect
5. #11739554C2semidirect
6. #11735168C2semidirect
7. #11735159C2semidirect
8. #11735156C2semidirect
9. #11735139C2semidirect
10. #11735071C2semidirect
11. #11735022C2semidirect
12. #11734889C2semidirect
13. #11734874C2semidirect
14. #11733396C2semidirect
15. #11733394C2semidirect
16. #11733391C2semidirect
17. #11733184C2semidirect
18. #11733154C2semidirect
19. #11733128C2semidirect
20. #11732100C2semidirect
21. #11732037C2semidirect
22. #11731855C2semidirect
23. #11731853C2semidirect
24. #11731493C2semidirect
25. #11731362C2semidirect
26. #11731300C2semidirect
27. #11731300C2semidirect
28. #11731274C2semidirect
29. #11731271C2semidirect
30. #11731014C2semidirect
31. #11730949C2semidirect
34. C2×C7×#126C22semidirect
42. C2×#6459C22semidirect
43. C2×#6459C22semidirect
44. C2×#6458C22semidirect
45. C2×#6458C22semidirect
48. C2×#6448C22semidirect
49. C2×#6447C22semidirect
50. C2×#6446C22semidirect
55. C7×#397C22semidirect
56. C7×#397C22semidirect
57. C7×#397C22semidirect
58. C7×#396C22semidirect
59. C7×#388C22semidirect
60. C7×#388C22semidirect
61. C7×#388C22semidirect
72. #89766C22semidirect
73. #89765C22semidirect
74. #89763C22semidirect
75. #89762C22semidirect
76. #89762C22semidirect
77. #89761C22semidirect
78. #89761C22semidirect
79. #89761C22semidirect
80. #89760C22semidirect
81. #89760C22semidirect
82. #89759C22semidirect
83. #89759C22semidirect
84. #89759C22semidirect
85. #89758C22semidirect
86. #89757C22semidirect
87. #89756C22semidirect
88. #89754C22semidirect
89. #89753C22semidirect
90. #89753C22semidirect
91. #89750C22semidirect
100. #89733C22semidirect
101. #89733C22semidirect
110. #89732C22semidirect
111. #89731C22semidirect
112. #89731C22semidirect
113. #89731C22semidirect
114. #89731C22semidirect
118. #89729C22semidirect
119. #89729C22semidirect
128. #89728C22semidirect
129. #89728C22semidirect
132. #89724C22semidirect
133. #89724C22semidirect
134. #89723C22semidirect
135. #89723C22semidirect
136. #89723C22semidirect
138. #89721C22semidirect
139. #89720C22semidirect
140. #89719C22semidirect
141. #89717C22semidirect
142. #89716C22semidirect
147. #89712C22semidirect
148. #89712C22semidirect
149. #89712C22semidirect
150. #89712C22semidirect
151. #89711C22semidirect
152. #89711C22semidirect
153. #89708C22semidirect
154. #89701C22semidirect
155. #89447C22semidirect
156. #89446C22semidirect
157. #89446C22semidirect
158. #89445C22semidirect
159. #89442C22semidirect
160. #89442C22semidirect
161. #89442C22semidirect
162. #89441C22semidirect
163. #89441C22semidirect
164. #89440C22semidirect
165. #89440C22semidirect
166. #89439C22semidirect
167. #89439C22semidirect
168. #89437C22semidirect
169. #89437C22semidirect
170. #89437C22semidirect
171. #89437C22semidirect
172. #89437C22semidirect
173. #89437C22semidirect
174. #89437C22semidirect
175. #89437C22semidirect
176. #89437C22semidirect
177. #89436C22semidirect
178. C7⋊#401C22semidirect
179. #89433C22semidirect
180. #89432C22semidirect
181. #89432C22semidirect
182. #89431C22semidirect
183. #89431C22semidirect
184. #89427C22semidirect
185. #89426C22semidirect
186. #89423C22semidirect
392. #2480D7semidirect
617. C2×#126C2×D7semidirect
654. #397C2×D7semidirect
655. #397C2×D7semidirect
656. #397C2×D7semidirect
659. #396C2×D7semidirect
710. #388C2×D7semidirect
711. #388C2×D7semidirect
712. #388C2×D7semidirect
1588. C7#36758semidirect

Maximal subgroups

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

subgroupindex
C7×#24802
#117405622
#117405612
C2×#897282
#117395542
#117351682
#117351592
#117351562
#117351392
#117350712
#117350222
#117348892
#117348742
#117333962
#117333942
#117333912
#117331842
#117331542
#117331282
#117321002
#117320372
#117318552
#117318532
#117314932
#117313622
#117313002
#117312742
#117312712
#117310142
#117309492
#367587