Finite Group Databasebeta

← #14216862

Subgroups — #14216862

Order 1792.

2184 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2373C211yesmaximal, characteristic, complemented
2#11740559C211yesmaximal, characteristic, complemented
3#11740554C211yesmaximal, characteristic, complemented
4#11733515C211yesmaximal, characteristic, complemented
5#11733465C211yesmaximal, characteristic, complemented
6#11733364C211yesmaximal, characteristic, complemented
7#11733362C211yesmaximal, characteristic, complemented
8#11733357C211yesmaximal, characteristic
9#11733341C211yesmaximal, characteristic, complemented
10#11733092C211yesmaximal, characteristic, complemented
11#11733062C211yesmaximal, characteristic, complemented
12#11732817C211yesmaximal, characteristic, complemented
13#11732815C211yesmaximal, characteristic, complemented
14#11732775C211yesmaximal, characteristic, complemented
15#11732771C211yesmaximal, characteristic, complemented
16#11732564C211yesmaximal, characteristic, complemented
17#11732447C211yesmaximal, characteristic, complemented
18#11731842C211yesmaximal, characteristic, complemented
19#11731824C211yesmaximal, characteristic, complemented
20#11731257C211yesmaximal, characteristic, complemented
21#11731246C211yesmaximal, characteristic, complemented
22#11731219C211yesmaximal, characteristic, complemented
23#11731184C211yesmaximal, characteristic, complemented
24#11731111C211yesmaximal, characteristic, complemented
25#11731098C211yesmaximal, characteristic, complemented
26#11731035C211yesmaximal, characteristic, complemented
27C4×#6445C211yesmaximal, characteristic, complemented
28C4×#6445C211yesmaximal, characteristic, complemented
29#11730944C211yesmaximal, characteristic, complemented
30#11730870C211yesmaximal, characteristic, complemented
31#11730840C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#126C2211yescharacteristic
34C2×C4×C22⋊D7C2211yescharacteristic
35C2×C4×C22⋊D7C2211yescharacteristic
36C2×#6461C2211yescharacteristic
37C2×#6461C2211yescharacteristic, complemented
38C2×#6458C2211yescharacteristic
39C2×#6456C2211yescharacteristic
40C2×#6456C2211yescharacteristic
41C2×#6456C2211yescharacteristic, complemented
42C2×D7×C4⋊C4C2211yescharacteristic, complemented
43C2×#6447C2211yescharacteristic
44C2×#6445C2211yescharacteristic
45C2×#6445C2211yescharacteristic
46C2×#6445C2211yescharacteristic
47C2×(C22⋊D7)⋊C4C2211yescharacteristic
48C2×#6439C2211yescharacteristic, complemented
49C2×#6438C2211yescharacteristic
50C2×#6438C2211yescharacteristic, complemented
51C2×#6437C2211yescharacteristic
52C2×C4×D28C2211yescharacteristic
53C2×C4×D28C2211yescharacteristic
54C2×C4×D28C2211yescharacteristic
55C2×C4×D28C2211yescharacteristic
56C2×C4×D28C2211yescharacteristic, complemented
57C7×#389C2211yescharacteristic, complemented
58C7×#388C2211yescharacteristic
59C7×#388C2211yescharacteristic
60C7×#388C2211yescharacteristic
61C7×#387C2211yescharacteristic, complemented
62C7×#387C2211yescharacteristic, complemented
63C7×#387C2211yescharacteristic, complemented
64C7×#385C2211yescharacteristic
65C4×C7×C4⋊C4C2211yescharacteristic, complemented
66C4×C7×C4⋊C4C2211yescharacteristic, complemented
67C4×C7×C4⋊C4C2211yescharacteristic, complemented
68C4×C7×C22⋊C4C2211yescharacteristic
69C4×C7×C22⋊C4C2211yescharacteristic
70C7×#376C2211yescharacteristic, complemented
71#89985C2211yescharacteristic
72#89766C2211yescharacteristic
73#89765C2211yescharacteristic
74#89764C2211yescharacteristic
75#89763C2211yescharacteristic
76#89763C2211yescharacteristic
77#89763C2211yescharacteristic
78#89763C2211yescharacteristic
79#89763C2211yescharacteristic
80#89763C2211yescharacteristic, complemented
81#89763C2211yescharacteristic, complemented
82#89762C2211yescharacteristic
83#89762C2211yescharacteristic, complemented
84#89762C2211yescharacteristic, complemented
85#89762C2211yescharacteristic, complemented
86#89761C2211yescharacteristic
87#89761C2211yescharacteristic
88#89761C2211yescharacteristic, complemented
89#89760C2211yescharacteristic
90#89760C2211yescharacteristic, complemented
91#89758C2211yescharacteristic, complemented
92#89757C2211yescharacteristic, complemented
93#89754C2211yescharacteristic, complemented
94#89753C2211yescharacteristic, complemented
95#89744C2211yescharacteristic, complemented
96#89744C2211yescharacteristic, complemented
97#89732C2211yescharacteristic
98#89732C2211yescharacteristic
99#89731C2211yescharacteristic
100#89731C2211yescharacteristic
101#89731C2211yescharacteristic
102#89731C2211yescharacteristic
103#89730C2211yescharacteristic
104#89730C2211yescharacteristic
105#89729C2211yescharacteristic
106#89728C2211yescharacteristic
107#89727C2211yescharacteristic
108#89727C2211yescharacteristic
109#89727C2211yescharacteristic
110#89723C2211yescharacteristic
111#89722C2211yescharacteristic
112#89722C2211yescharacteristic
113#89721C2211yescharacteristic
114#89719C2211yescharacteristic
115C22⋊C4×Dic7C2211yescharacteristic
116#89712C2211yescharacteristic
117#89712C2211yescharacteristic
118#89712C2211yescharacteristic
119#89712C2211yescharacteristic
120#89712C2211yescharacteristic, complemented
121#89712C2211yescharacteristic, complemented
122#89712C2211yescharacteristic, complemented
123#89712C2211yescharacteristic, complemented
124#89711C2211yescharacteristic
125#89711C2211yescharacteristic
126#89711C2211yescharacteristic, complemented
127#89711C2211yescharacteristic, complemented
128C4×(C2×D7)⋊C4C2211yescharacteristic
129C4×(C2×D7)⋊C4C2211yescharacteristic
130C4×(C2×D7)⋊C4C2211yescharacteristic
131C4×(C2×D7)⋊C4C2211yescharacteristic
132C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
133C4×C4⋊Dic7C2211yescharacteristic, complemented
134#89705C2211yescharacteristic, complemented
135#89705C2211yescharacteristic, complemented
136#89705C2211yescharacteristic, complemented
137#89704C2211yescharacteristic, complemented
138#89701C2211yescharacteristic, complemented
139#89448C2211yescharacteristic
140#89447C2211yescharacteristic
141#89447C2211yescharacteristic, complemented
142#89446C2211yescharacteristic, complemented
143#89445C2211yescharacteristic
144#89444C2211yescharacteristic
145#89444C2211yescharacteristic
146#89444C2211yescharacteristic
147#89443C2211yescharacteristic
148#89443C2211yescharacteristic
149#89441C2211yescharacteristic
150#89441C2211yescharacteristic, complemented
151#89441C2211yescharacteristic, complemented
152#89441C2211yescharacteristic, complemented
153#89440C2211yescharacteristic
154#89440C2211yescharacteristic
155#89440C2211yescharacteristic
156#89440C2211yescharacteristic
157#89440C2211yescharacteristic, complemented
158#89440C2211yescharacteristic, complemented
159#89440C2211yescharacteristic, complemented
160#89439C2211yescharacteristic, complemented
161#89438C2211yescharacteristic
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic, complemented
164#89437C2211yescharacteristic
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic, complemented
174#89437C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89436C2211yescharacteristic, complemented
178#89436C2211yescharacteristic, complemented
179#89433C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89427C2211yescharacteristic, complemented
182#89426C2211yescharacteristic, complemented
183#89426C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#60031—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C23×C4×C7C2311yescharacteristic
190C22×C22⋊D7C2311yescharacteristic
191C22×C22⋊D7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C23×Dic7C2311yescharacteristic
194C22×D28C2311yescharacteristic
195C22×D28C2311yescharacteristic
196C22×D28C2311yescharacteristic
197C22×D28C2311yescharacteristic
198C22×D28C2311yescharacteristic
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×C4×D7—42no—
204C22×C4×D7—42no—
205C22×C4×D7—42no—
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#126—24no—
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×C42×C7C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C4×C22⋊D7—42no—
243C4×C22⋊D7—42no—
244C2×(C2×D7)⋊C4C2311yescharacteristic
245C2×(C2×D7)⋊C4C2311yescharacteristic
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311#6461—24no—
312#6461—42no—
313#6458—24no—
314#6456—42no—
315#6456—42no—
316#6456—42no—
317D7×C4⋊C4—42no—
318#6447—24no—
319#6445—24no—
320#6445—24no—
321#6445—24no—
322(C22⋊D7)⋊C4—42no—
323#6439—42no—
324#6438—24no—
325#6438—42no—
326#6437—24no—
327C4×D28—42no—
328C4×D28—42no—
329C4×D28—42no—
330C4×D28—42no—
331C4×D28—42no—
332C7×#95C2311yescharacteristic
333C7×#95C2311yescharacteristic
334C7×#95C2311yescharacteristic
335C7×#95C2311yescharacteristic
336C7×#95C2311yescharacteristic
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7×#95C2311yescharacteristic
343C7×#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370#2685—71no—
371#2685—71no—
372#2684—71no—
373#2669—71no—
374#2603—71no—
375#2603—71no—
376#2600—71no—
377#2600—71no—
378#2595—71no—
379#2595—71no—
380#2589—71no—
381#2589—71no—
382#2579—71no—
383#2559—71no—
384#2559—71no—
385#2544—71no—
386#2467—71no—
387#2467—71no—
388#2466—71no—
389#2466—71no—
390#2459—71no—
391#2459—71no—
392#2373—71no—
393#2373D711yescharacteristic, complemented
394#2372—71no—
395#2366—71no—
396#2361—71no—
397#2361—71no—
398C4×#120—71no—
399C4×#120—71no—
400C4×#120—71no—
401C24×C7C2411yescharacteristic
402C23×D7—22no—
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—41no—
406C23×D7—41no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7C2411yescharacteristic
410C23×D7C2411yescharacteristic
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C22×C4×C7—22no—
415C22×C4×C7—22no—
416C22×C4×C7—41no—
417C22×C4×C7C2411yescharacteristic
418C22×C4×C7C2411yescharacteristic
419C22×C4×C7C2411yescharacteristic
420C22×C4×C7C2411yescharacteristic
421C22×C4×C7C2411yescharacteristic
422C22×C4×C7C2411yescharacteristic
423C22×C4×C7C2411yescharacteristic
424C22×C4×C7C2411yescharacteristic
425C22×C4×C7C2411yescharacteristic
426C22×C4×C7C2411yescharacteristic
427C22×C4×C7C2411yescharacteristic
428C22×C4×C7C2411yescharacteristic
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C2×C22⋊D7—22no—
432C2×C22⋊D7—22no—
433C2×C22⋊D7—22no—
434C2×C22⋊D7—22no—
435C2×C22⋊D7—22no—
436C2×C22⋊D7—41no—
437C2×C22⋊D7—41no—
438C2×C22⋊D7—41no—
439C2×C22⋊D7—41no—
440C22×Dic7—22no—
441C22×Dic7—41no—
442C22×Dic7—41no—
443C22×Dic7C2411yescharacteristic
444C22×Dic7C2411yescharacteristic
445C22×Dic7C2411yescharacteristic
446C22×Dic7C2411yescharacteristic
447C22×Dic7C2411yescharacteristic
448C22×Dic7C2411yescharacteristic
449C22×Dic7C2411yescharacteristic
450C22×Dic7C2411yescharacteristic
451C22×Dic7C2411yescharacteristic
452C22×Dic7C2411yescharacteristic
453C22×Dic7C2411yescharacteristic
454C2×D28—22no—
455C2×D28—22no—
456C2×D28—22no—
457C2×D28—22no—
458C2×D28—22no—
459C2×D28—22no—
460C2×D28—22no—
461C2×D28—22no—
462C2×D28—22no—
463C2×D28—22no—
464C2×D28—22no—
465C2×D28—22no—
466C2×D28—22no—
467C2×D28—22no—
468C2×D28—41no—
469C2×D28—41no—
470C2×D28—41no—
471C2×D28—41no—
472C2×D28—41no—
473C2×D28—41no—
474C2×D28—41no—
475C2×D28—41no—
476C2×D28—41no—
477C2×D28—41no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28#4114yes—
481C2×C4×D7—22no—
482C2×C4×D7—22no—
483C2×C4×D7—22no—
484C2×C4×D7—22no—
485C2×C4×D7—22no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—41no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—416no—
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×D7—41no—
509C2×Dic14—22no—
510C2×Dic14—41no—
511C2×Dic14—41no—
512C7×C4⋊C4—22no—
513C7×C4⋊C4—22no—
514C7×C4⋊C4—22no—
515C7×C4⋊C4—22no—
516C7×C4⋊C4—22no—
517C7×C4⋊C4—22no—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—41no—
520C7×C22⋊C4—22no—
521C7×C22⋊C4—22no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4#4114yes—
526C42×C7—22no—
527C42×C7—22no—
528C42×C7—22no—
529C42×C7—22no—
530C42×C7—22no—
531C42×C7—41no—
532C42×C7—41no—
533C42×C7—41no—
534C22⋊Dic7—41no—
535C22⋊Dic7—41no—
536C22⋊Dic7—41no—
537(C2×D7)⋊C4—22no—
538(C2×D7)⋊C4—22no—
539(C2×D7)⋊C4—22no—
540(C2×D7)⋊C4—22no—
541(C2×D7)⋊C4—22no—
542(C2×D7)⋊C4—22no—
543(C2×D7)⋊C4—22no—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—41no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4#4114yes—
580C4⋊Dic7—22no—
581C4⋊Dic7—22no—
582C4⋊Dic7—22no—
583C4⋊Dic7—41no—
584C4⋊Dic7—41no—
585C4⋊Dic7—41no—
586Dic7⋊C4—22no—
587Dic7⋊C4—22no—
588Dic7⋊C4—22no—
589Dic7⋊C4—22no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597C4×Dic7—22no—
598C4×Dic7—22no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C24×C4—71no—
605C2×#127—71no—
606C2×#126—71no—
607C2×#126—71no—
608C2×#126—71no—
609C2×#126C2×D711yescharacteristic
610C2×#124—71no—
611C2×#124—71no—
612C2×#121—71no—
613C2×#121—71no—
614C2×#120—71no—
615C2×#120—71no—
616C2×#120—71no—
617C2×C4×D4—71no—
618C2×C4×D4—71no—
619C2×C4×D4—71no—
620C2×C4×D4—71no—
621C2×C4×D4—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4—71no—
628C22×C4⋊C4—71no—
629#400—71no—
630#400—71no—
631#399—71no—
632#399—71no—
633#398—71no—
634#398—71no—
635#397—71no—
636#397—71no—
637#397—71no—
638#397—71no—
639#396—71no—
640#396—71no—
641#394—71no—
642#394—71no—
643#394—71no—
644#394—71no—
645#394—71no—
646#394—71no—
647#394—71no—
648#394—71no—
649#394—71no—
650#394—71no—
651#394—71no—
652#394—71no—
653#394—71no—
654#394—71no—
655#393—71no—
656#393—71no—
657#392—71no—
658#392—71no—
659#392—71no—
660#392—71no—
661#391—71no—
662#391—71no—
663#391—71no—
664#390—71no—
665#390—71no—
666#390—71no—
667#390—71no—
668#390—71no—
669#390—71no—
670#390—71no—
671#389—71no—
672#389—71no—
673#389—71no—
674#389C2×D711yescharacteristic, complemented
675#388—71no—
676#388—71no—
677#388—71no—
678#388—71no—
679#388—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388—71no—
687#388—71no—
688#388—71no—
689#388—71no—
690#388—71no—
691#388—71no—
692#388C2×D711yescharacteristic
693#388C2×D711yescharacteristic
694#388C2×D711yescharacteristic
695#387—71no—
696#387—71no—
697#387—71no—
698#387—71no—
699#387—71no—
700#387—71no—
701#387—71no—
702#387C2×D711yescharacteristic, complemented
703#387C2×D711yescharacteristic, complemented
704#387C2×D711yescharacteristic, complemented
705#386—71no—
706#386—71no—
707#386—71no—
708#386—71no—
709#386—71no—
710#386—71no—
711#386—71no—
712#386—71no—
713#386—71no—
714#386—71no—
715#386—71no—
716#386—71no—
717#386—71no—
718#386—71no—
719#386—71no—
720#386—71no—
721#386—71no—
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385—71no—
730#385—71no—
731#385—71no—
732#385—71no—
733#385—71no—
734#385C2×D711yescharacteristic
735#381—71no—
736#381—71no—
737#380—71no—
738#379—71no—
739#379—71no—
740#379—71no—
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4C2×D711yescharacteristic, complemented
744C4×C4⋊C4C2×D711yescharacteristic, complemented
745C4×C4⋊C4C2×D711yescharacteristic, complemented
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4C2×D711yescharacteristic
756C4×C22⋊C4C2×D711yescharacteristic
757#376—71no—
758#376C2×D711yescharacteristic, complemented
759C23×C7—21no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—21no—
765C23×C7C2×#4112yes—
766C23×C7C2511yescharacteristic
767C22×D7—21no—
768C22×D7—21no—
769C22×D7—21no—
770C22×D7—21no—
771C22×D7—21no—
772C22×D7—21no—
773C22×D7—21no—
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7C2×#4112yes—
807C22×D7C2×#4112yes—
808C22×D7C2×#4112yes—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—44no—
846C2×C4×C7C2×#4112yes—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7C2×#4112yes—
849C2×C4×C7C2×#4112yes—
850C2×C4×C7H(5,𝔽2)12yes—
851C2×C4×C7H(5,𝔽2)12yes—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C22⋊D7—44no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—44no—
887C2×Dic7C2×#4112yes—
888C2×Dic7H(5,𝔽2)12yes—
889D28—44no—
890D28—44no—
891D28—44no—
892D28—44no—
893D28—44no—
894D28—44no—
895D28—44no—
896D28—44no—
897D28—82no—
898C4×D7—44no—
899C4×D7—44no—
900C4×D7—44no—
901C4×D7—44no—
902C4×D7—44no—
903C4×D7—82no—
904C4×D7—82no—
905C4×D7—82no—
906C4×D7—82no—
907Dic14—82no—
908C25—71no—
909C22×Q8—71no—
910C22×D4—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4—71no—
919C22×D4—71no—
920C22×D4—71no—
921C22×D4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—282no—
933C23×C4—282no—
934C23×C4—282no—
935C23×C4C22×D711yescharacteristic
936#127—144no—
937#126—24no—
938#126—144no—
939#126—282no—
940#126—282no—
941#124—144no—
942#124—282no—
943#121—144no—
944#121—144no—
945#120—144no—
946#120—144no—
947#120—144no—
948C4×D4—282no—
949C4×D4—282no—
950C4×D4—282no—
951C4×D4—282no—
952C4×D4—282no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958C4×D4—282no—
959C2×C4⋊C4—71no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—282no—
977C2×C4⋊C4C22×D711yescharacteristic
978C2×C4⋊C4C22×D711yescharacteristic
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42C22×D711yescharacteristic
1045C2×C42C22×D711yescharacteristic
1046C2×C42C22×D711yescharacteristic
1047C2×C42C22×D711yescharacteristic
1048C2×C42C22×D711yescharacteristic
1049C2×C42C22×D711yescharacteristic
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
1052#95—71no—
1053#95—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95C22×D711yescharacteristic
1079#95C22×D711yescharacteristic
1080#95C22×D711yescharacteristic
1081#95C22×D711yescharacteristic
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090C22×C7—22no—
1091C22×C7—22no—
1092C22×C7—22no—
1093C22×C7—41no—
1094C22×C7—41no—
1095C22×C7—41no—
1096C22×C7—41no—
1097C22×C7C22×#4111yescharacteristic
1098C22×C7C22×#4111yescharacteristic
1099C22×C7C22×#4111yescharacteristic
1100C22×C7C2×H(5,𝔽2)11yescharacteristic
1101C22×C7C2×H(5,𝔽2)11yescharacteristic
1102C22×C7C2×H(5,𝔽2)11yescharacteristic
1103C22×C7#58511yescharacteristic
1104C2×D7—22no—
1105C2×D7—22no—
1106C2×D7—22no—
1107C2×D7—22no—
1108C2×D7—22no—
1109C2×D7—22no—
1110C2×D7—22no—
1111C2×D7—22no—
1112C2×D7—22no—
1113C2×D7—416no—
1114C2×D7—41no—
1115C2×D7—41no—
1116C2×D7—41no—
1117C2×D7—41no—
1118C2×D7—41no—
1119C2×D7—41no—
1120C2×D7—41no—
1121C2×D7—41no—
1122C2×D7—41no—
1123C2×D7—41no—
1124C2×D7—41no—
1125C2×D7—41no—
1126C2×D7—41no—
1127C2×D7—41no—
1128C2×D7—41no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—41no—
1157Dic7—41no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165C24—71no—
1166C24—71no—
1167C24—71no—
1168C24—71no—
1169C24—71no—
1170C24—142no—
1171C24—142no—
1172C24—142no—
1173C24—281no—
1174C24—281no—
1175C24—281no—
1176C24—281no—
1177C24C23×D711yescharacteristic
1178C2×Q8—142no—
1179C2×Q8—281no—
1180C2×Q8—281no—
1181C2×D4—74no—
1182C2×D4—142no—
1183C2×D4—142no—
1184C2×D4—142no—
1185C2×D4—142no—
1186C2×D4—142no—
1187C2×D4—142no—
1188C2×D4—142no—
1189C2×D4—142no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—142no—
1195C2×D4—142no—
1196C2×D4—142no—
1197C2×D4—142no—
1198C2×D4—142no—
1199C2×D4—142no—
1200C2×D4—142no—
1201C2×D4—281no—
1202C2×D4—281no—
1203C2×D4—281no—
1204C2×D4—281no—
1205C2×D4—281no—
1206C2×D4—281no—
1207C2×D4—281no—
1208C2×D4—281no—
1209C2×D4—281no—
1210C2×D4—281no—
1211C2×D4—281no—
1212C2×D4—281no—
1213C2×D4—281no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—281no—
1244C22×C4—281no—
1245C22×C4—281no—
1246C22×C4—281no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—2816no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4C23×D711yescharacteristic
1263C22×C4C23×D711yescharacteristic
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—41no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—41no—
1306C22⋊C4—74no—
1307C22⋊C4—142no—
1308C22⋊C4—142no—
1309C22⋊C4—142no—
1310C22⋊C4—142no—
1311C22⋊C4—142no—
1312C22⋊C4—142no—
1313C22⋊C4—142no—
1314C22⋊C4—142no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—281no—
1327C22⋊C4—281no—
1328C22⋊C4—281no—
1329C22⋊C4—281no—
1330C22⋊C4—281no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4—281no—
1348C22⋊C4—281no—
1349C22⋊C4—281no—
1350C22⋊C4—281no—
1351C22⋊C4—281no—
1352C22⋊C4#115714yes—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—41no—
1359C42—41no—
1360C42—41no—
1361C42—142no—
1362C42—142no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42—281no—
1368C2×C7—42no—
1369C2×C7#348111yescharacteristic
1370C2×C7#348111yescharacteristic
1371C2×C7#348111yescharacteristic
1372C2×C7#350511yescharacteristic
1373C2×C7#350611yescharacteristic
1374C2×C7#350611yescharacteristic
1375C2×C7#353211yescharacteristic
1376D7—42no—
1377D7—42no—
1378D7—42no—
1379D7—81no—
1380D7—81no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—72no—
1388C23—72no—
1389C23—72no—
1390C23—141no—
1391C23—141no—
1392C23—141no—
1393C23—141no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—284no—
1423C23—284no—
1424C23—284no—
1425C23—284no—
1426C23—284no—
1427C23—284no—
1428C23—284no—
1429C23C2×#115712yes—
1430C23C24×D711yescharacteristic
1431Q8—562no—
1432D4—284no—
1433D4—284no—
1434D4—284no—
1435D4—284no—
1436D4—284no—
1437D4—284no—
1438D4—284no—
1439D4—284no—
1440D4—284no—
1441D4—284no—
1442D4—284no—
1443D4—562no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—44no—
1481C2×C4—72no—
1482C2×C4—72no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—284no—
1515C2×C4—284no—
1516C2×C4—284no—
1517C2×C4—284no—
1518C2×C4—284no—
1519C2×C4—284no—
1520C2×C4—562no—
1521C2×C4—562no—
1522C2×C4—562no—
1523C2×C4—562no—
1524C2×C4C2×#115712yes—
1525C2×C4C2×#115712yes—
1526C2×C4D7×#4112yes—
1527C2×C4D7×#4112yes—
1528C2×C4#655312yes—
1529C2×C4#655312yes—
1530C7#6003111yescharacteristic, complemented, Sylow
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—142no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—2816no—
1548C22—281no—
1549C22—281no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22C22×#115711yescharacteristic
1575C22C2×D7×#4111yescharacteristic
1576C22C2×D7×#4111yescharacteristic
1577C22C2×#655311yescharacteristic
1578C22C2×#655311yescharacteristic
1579C22D7×H(5,𝔽2)11yescharacteristic
1580C22#9062011yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—142no—
1596C4—142no—
1597C4—281no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C2—42no—
1607C2—282no—
1608C2—282no—
1609C2—282no—
1610C2—561no—
1611C2—561no—
1612C2#1174291111yescharacteristic
1613C2#1174291111yescharacteristic
1614C2#1174295911yescharacteristic
1615C2#1174388611yescharacteristic
1616C2#1174393011yescharacteristic
1617C2#1174394411yescharacteristic
1618C2#1174407311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2373C2
prime radical#11733357C2
hypercenter#2373D7
hypocenterC7#60031
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
1. C7×#2373C2semidirect
2. #11740559C2semidirect
3. #11740554C2semidirect
4. #11733515C2semidirect
5. #11733465C2semidirect
6. #11733364C2semidirect
7. #11733362C2semidirect
9. #11733341C2semidirect
10. #11733092C2semidirect
11. #11733062C2semidirect
12. #11732817C2semidirect
13. #11732815C2semidirect
14. #11732775C2semidirect
15. #11732771C2semidirect
16. #11732564C2semidirect
17. #11732447C2semidirect
18. #11731842C2semidirect
19. #11731824C2semidirect
20. #11731257C2semidirect
21. #11731246C2semidirect
22. #11731219C2semidirect
23. #11731184C2semidirect
24. #11731111C2semidirect
25. #11731098C2semidirect
26. #11731035C2semidirect
27. C4×#6445C2semidirect
28. C4×#6445C2semidirect
29. #11730944C2semidirect
30. #11730870C2semidirect
31. #11730840C2semidirect
37. C2×#6461C22semidirect
41. C2×#6456C22semidirect
42. C2×D7×C4⋊C4C22semidirect
48. C2×#6439C22semidirect
50. C2×#6438C22semidirect
56. C2×C4×D28C22semidirect
57. C7×#389C22semidirect
61. C7×#387C22semidirect
62. C7×#387C22semidirect
63. C7×#387C22semidirect
65. C4×C7×C4⋊C4C22semidirect
66. C4×C7×C4⋊C4C22semidirect
67. C4×C7×C4⋊C4C22semidirect
70. C7×#376C22semidirect
80. #89763C22semidirect
81. #89763C22semidirect
83. #89762C22semidirect
84. #89762C22semidirect
85. #89762C22semidirect
88. #89761C22semidirect
90. #89760C22semidirect
91. #89758C22semidirect
92. #89757C22semidirect
93. #89754C22semidirect
94. #89753C22semidirect
95. #89744C22semidirect
96. #89744C22semidirect
120. #89712C22semidirect
121. #89712C22semidirect
122. #89712C22semidirect
123. #89712C22semidirect
126. #89711C22semidirect
127. #89711C22semidirect
132. C4×(C2×D7)⋊C4C22semidirect
133. C4×C4⋊Dic7C22semidirect
134. #89705C22semidirect
135. #89705C22semidirect
136. #89705C22semidirect
137. #89704C22semidirect
138. #89701C22semidirect
141. #89447C22semidirect
142. #89446C22semidirect
150. #89441C22semidirect
151. #89441C22semidirect
152. #89441C22semidirect
157. #89440C22semidirect
158. #89440C22semidirect
159. #89440C22semidirect
160. #89439C22semidirect
163. #89438C22semidirect
173. #89437C22semidirect
174. #89437C22semidirect
175. #89437C22semidirect
176. #89437C22semidirect
177. #89436C22semidirect
178. #89436C22semidirect
179. #89433C22semidirect
180. #89429C22semidirect
181. #89427C22semidirect
182. #89426C22semidirect
183. #89426C22semidirect
184. #89421C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
393. #2373D7semidirect
674. #389C2×D7semidirect
702. #387C2×D7semidirect
703. #387C2×D7semidirect
704. #387C2×D7semidirect
743. C4×C4⋊C4C2×D7semidirect
744. C4×C4⋊C4C2×D7semidirect
745. C4×C4⋊C4C2×D7semidirect
758. #376C2×D7semidirect
1530. C7#60031semidirect

Maximal subgroups

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

subgroupindex
C7×#23732
#117405592
#117405542
#117335152
#117334652
#117333642
#117333622
#117333572
#117333412
#117330922
#117330622
#117328172
#117328152
#117327752
#117327712
#117325642
#117324472
#117318422
#117318242
#117312572
#117312462
#117312192
#117311842
#117311112
#117310982
#117310352
C4×#64452
#117309442
#117308702
#117308402
#600317