Finite Group Databasebeta

← C7×#14023 #13191239

Subgroups — C7×#14023 #13191239

Order 1792.

3166 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×#121C211yesmaximal, characteristic
2C22×C4×C7×D4C211yesmaximal, characteristic, complemented
3C2×C7×#386C211yesmaximal, characteristic, complemented
4C2×C7×#386C211yesmaximal, characteristic, complemented
5C2×C7×#386C211yesmaximal, characteristic, complemented
6C2×C7×#386C211yesmaximal, characteristic, complemented
7C22×C7×#95C211yesmaximal, characteristic, complemented
8C7×#1441C211yesmaximal, characteristic, complemented
9C7×#1440C211yesmaximal, characteristic, complemented
10C7×#1439C211yesmaximal, characteristic, complemented
11C7×#1438C211yesmaximal, characteristic, complemented
12C7×#1437C211yesmaximal, characteristic, complemented
13C7×#1436C211yesmaximal, characteristic, complemented
14C7×C22⋊#95C211yesmaximal, characteristic, complemented
15C7×C22⋊#95C211yesmaximal, characteristic, complemented
16C23×C7×D4C2211yescharacteristic
17C23×C7×D4C2211yescharacteristic
18C23×C7×D4C2211yescharacteristic
19C24×C4×C7C2211yescharacteristic
20C24×C4×C7C2211yescharacteristic
21C24×C4×C7C2211yescharacteristic
22C24×C4×C7C2211yescharacteristic
23C2×C7×#121—24no—
24C2×C7×#121—24no—
25C2×C7×#121C418yescomplemented
26C2×C4×C7×D4—24no—
27C2×C4×C7×D4—24no—
28C2×C4×C7×D4—24no—
29C22×C7×C4⋊C4C2211yescharacteristic
30C22×C7×C4⋊C4C2211yescharacteristic
31C22×C7×C22⋊C4C2211yescharacteristic
32C22×C7×C22⋊C4C2211yescharacteristic
33C22×C7×C22⋊C4C2211yescharacteristic
34C22×C7×C22⋊C4C2211yescharacteristic
35C22×C7×C22⋊C4C2211yescharacteristic
36C22×C7×C22⋊C4C2211yescharacteristic
37C22×C7×C22⋊C4C2211yescharacteristic
38C22×C7×C22⋊C4C2211yescharacteristic
39C22×C7×C22⋊C4C2211yescharacteristic
40C22×C7×C22⋊C4C2211yescharacteristic
41C22×C7×C22⋊C4C2211yescharacteristic
42C22×C42×C7C2211yescharacteristic
43C7×#386—24no—
44C7×#386—24no—
45C7×#386—24no—
46C7×#386—24no—
47C2×C7×#95—24no—
48C2×C7×#95C2211yescharacteristic
49C2×C7×#95C2211yescharacteristic
50C2×C7×#95C2211yescharacteristic
51C2×C7×#95C2211yescharacteristic
52C2×C7×#95C2211yescharacteristic
53C2×C7×#95C2211yescharacteristic
54C2×C7×#95C2211yescharacteristic
55C2×C7×#95C2211yescharacteristic
56C2×C7×#95C2211yescharacteristic
57C2×C7×#95C2211yescharacteristic
58C2×C7×#95C2211yescharacteristic
59C2×C7×#95C2211yescharacteristic
60C2×C7×#95C2211yescharacteristic
61C2×C7×#95C2211yescharacteristic
62#14023C711yesmaximal, characteristic, direct product factor, Sylow
63C25×C7C2311yescharacteristic
64C25×C7C2311yescharacteristic
65C25×C7C2311yescharacteristic
66C22×C7×D4—22no—
67C22×C7×D4—22no—
68C22×C7×D4—22no—
69C22×C7×D4—22no—
70C22×C7×D4—22no—
71C22×C7×D4—22no—
72C22×C7×D4—22no—
73C22×C7×D4—22no—
74C22×C7×D4—22no—
75C22×C7×D4—22no—
76C22×C7×D4—22no—
77C22×C7×D4—22no—
78C22×C7×D4—22no—
79C22×C7×D4—22no—
80C22×C7×D4—41no—
81C22×C7×D4—41no—
82C22×C7×D4C2×C414yes—
83C22×C7×D4C2×C414yescomplemented
84C22×C7×D4C2×C414yescomplemented
85C22×C7×D4D414yes—
86C22×C7×D4D414yes—
87C23×C4×C7—22no—
88C23×C4×C7—22no—
89C23×C4×C7—22no—
90C23×C4×C7—22no—
91C23×C4×C7—22no—
92C23×C4×C7—22no—
93C23×C4×C7—22no—
94C23×C4×C7—22no—
95C23×C4×C7—22no—
96C23×C4×C7—22no—
97C23×C4×C7—22no—
98C23×C4×C7—22no—
99C23×C4×C7—22no—
100C23×C4×C7—22no—
101C23×C4×C7—22no—
102C23×C4×C7—22no—
103C23×C4×C7—22no—
104C23×C4×C7—22no—
105C23×C4×C7—41no—
106C23×C4×C7—41no—
107C23×C4×C7—41no—
108C23×C4×C7—41no—
109C23×C4×C7—41no—
110C23×C4×C7—41no—
111C23×C4×C7—41no—
112C23×C4×C7—41no—
113C23×C4×C7C2×C414yescomplemented
114C23×C4×C7D414yescomplemented
115C23×C4×C7C2311yescharacteristic
116C23×C4×C7C2311yescharacteristic
117C23×C4×C7C2311yescharacteristic
118C23×C4×C7C2311yescharacteristic
119C23×C4×C7C2311yescharacteristic
120C23×C4×C7C2311yescharacteristic
121C23×C4×C7C2311yescharacteristic
122C23×C4×C7C2311yescharacteristic
123C23×C4×C7C2311yescharacteristic
124C23×C4×C7C2311yescharacteristic
125C23×C4×C7C2311yescharacteristic
126C23×C4×C7C2311yescharacteristic
127C7×#121—232no—
128C4×C7×D4—232no—
129C2×C7×C4⋊C4—22no—
130C2×C7×C4⋊C4—22no—
131C2×C7×C4⋊C4—22no—
132C2×C7×C4⋊C4—22no—
133C2×C7×C4⋊C4—22no—
134C2×C7×C4⋊C4C2×C414yescomplemented
135C2×C7×C22⋊C4—22no—
136C2×C7×C22⋊C4—22no—
137C2×C7×C22⋊C4—22no—
138C2×C7×C22⋊C4—22no—
139C2×C7×C22⋊C4—22no—
140C2×C7×C22⋊C4—22no—
141C2×C7×C22⋊C4—22no—
142C2×C7×C22⋊C4—22no—
143C2×C7×C22⋊C4—22no—
144C2×C7×C22⋊C4—22no—
145C2×C7×C22⋊C4—22no—
146C2×C7×C22⋊C4—22no—
147C2×C7×C22⋊C4—22no—
148C2×C7×C22⋊C4—22no—
149C2×C7×C22⋊C4—22no—
150C2×C7×C22⋊C4—22no—
151C2×C7×C22⋊C4—22no—
152C2×C7×C22⋊C4—22no—
153C2×C7×C22⋊C4—22no—
154C2×C7×C22⋊C4—22no—
155C2×C7×C22⋊C4—22no—
156C2×C7×C22⋊C4—22no—
157C2×C7×C22⋊C4—22no—
158C2×C7×C22⋊C4—22no—
159C2×C7×C22⋊C4—41no—
160C2×C7×C22⋊C4—41no—
161C2×C7×C22⋊C4—41no—
162C2×C7×C22⋊C4—41no—
163C2×C7×C22⋊C4—41no—
164C2×C7×C22⋊C4—41no—
165C2×C7×C22⋊C4C2×C414yescomplemented
166C2×C7×C22⋊C4C2×C414yescomplemented
167C2×C7×C22⋊C4D414yescomplemented
168C2×C42×C7—22no—
169C2×C42×C7—22no—
170C2×C42×C7—22no—
171C7×#95—22no—
172C7×#95—22no—
173C7×#95—22no—
174C7×#95—22no—
175C7×#95—22no—
176C7×#95—22no—
177C7×#95—22no—
178C7×#95—22no—
179C7×#95—22no—
180C7×#95—22no—
181C7×#95—22no—
182C7×#95—41no—
183C7×#95—41no—
184C7×#95D414yescomplemented
185C22×#121C2×C711yescharacteristic
186C22×C4×D4C2×C711yescharacteristic, complemented
187C2×#386C2×C711yescharacteristic, complemented
188C2×#386C2×C711yescharacteristic, complemented
189C2×#386C2×C711yescharacteristic, complemented
190C2×#386C2×C711yescharacteristic, complemented
191C22×#95C2×C711yescharacteristic, complemented
192#1441C2×C711yescharacteristic, complemented
193#1440C2×C711yescharacteristic, complemented
194#1439C2×C711yescharacteristic, complemented
195#1438C2×C711yescharacteristic, complemented
196#1437C2×C711yescharacteristic, complemented
197#1436C2×C711yescharacteristic, complemented
198C22⋊#95C2×C711yescharacteristic, complemented
199C22⋊#95C2×C711yescharacteristic, complemented
200C24×C7—21no—
201C24×C7—21no—
202C24×C7—21no—
203C24×C7—21no—
204C24×C7—21no—
205C24×C7—21no—
206C24×C7—21no—
207C24×C7—21no—
208C24×C7—21no—
209C24×C7—21no—
210C24×C7—21no—
211C24×C7—21no—
212C24×C7—21no—
213C24×C7—21no—
214C24×C7—21no—
215C24×C7—21no—
216C24×C7—21no—
217C24×C7—21no—
218C24×C7—21no—
219C24×C7—21no—
220C24×C7—21no—
221C24×C7—21no—
222C24×C7—21no—
223C24×C7—21no—
224C24×C7—21no—
225C24×C7—21no—
226C24×C7—21no—
227C24×C7—21no—
228C24×C7—21no—
229C24×C7—21no—
230C24×C7—21no—
231C24×C7—21no—
232C24×C7—21no—
233C24×C7—21no—
234C24×C7C22×C412yes—
235C24×C7C22×C412yes—
236C24×C7C22×C412yes—
237C24×C7C2×D412yes—
238C24×C7C2×D412yes—
239C24×C7C2×D412yes—
240C24×C7C2×D412yes—
241C24×C7C2×D412yes—
242C24×C7C2×D412yes—
243C24×C7#4112yes—
244C24×C7#4112yes—
245C24×C7C2411yescharacteristic
246C2×C7×D4—28no—
247C2×C7×D4—28no—
248C2×C7×D4—28no—
249C2×C7×D4—28no—
250C2×C7×D4—28no—
251C2×C7×D4—28no—
252C2×C7×D4—28no—
253C2×C7×D4—28no—
254C2×C7×D4—28no—
255C2×C7×D4—28no—
256C2×C7×D4—28no—
257C2×C7×D4—44no—
258C2×C7×D4—44no—
259C2×C7×D4—44no—
260C2×C7×D4—44no—
261C2×C7×D4—44no—
262C2×C7×D4—44no—
263C2×C7×D4—44no—
264C2×C7×D4—44no—
265C2×C7×D4—44no—
266C2×C7×D4C22⋊C4116yescomplemented
267C22×C4×C7—21no—
268C22×C4×C7—21no—
269C22×C4×C7—21no—
270C22×C4×C7—21no—
271C22×C4×C7—21no—
272C22×C4×C7—21no—
273C22×C4×C7—21no—
274C22×C4×C7—21no—
275C22×C4×C7—21no—
276C22×C4×C7—21no—
277C22×C4×C7—21no—
278C22×C4×C7—21no—
279C22×C4×C7—28no—
280C22×C4×C7—28no—
281C22×C4×C7—28no—
282C22×C4×C7—28no—
283C22×C4×C7—21no—
284C22×C4×C7—21no—
285C22×C4×C7—21no—
286C22×C4×C7—21no—
287C22×C4×C7—21no—
288C22×C4×C7—21no—
289C22×C4×C7—21no—
290C22×C4×C7—21no—
291C22×C4×C7—21no—
292C22×C4×C7—21no—
293C22×C4×C7—21no—
294C22×C4×C7—21no—
295C22×C4×C7—21no—
296C22×C4×C7—21no—
297C22×C4×C7—21no—
298C22×C4×C7—21no—
299C22×C4×C7—21no—
300C22×C4×C7—21no—
301C22×C4×C7—21no—
302C22×C4×C7—21no—
303C22×C4×C7—21no—
304C22×C4×C7—21no—
305C22×C4×C7—21no—
306C22×C4×C7—21no—
307C22×C4×C7—21no—
308C22×C4×C7—21no—
309C22×C4×C7—21no—
310C22×C4×C7—21no—
311C22×C4×C7—21no—
312C22×C4×C7—21no—
313C22×C4×C7—21no—
314C22×C4×C7—21no—
315C22×C4×C7—21no—
316C22×C4×C7—21no—
317C22×C4×C7—21no—
318C22×C4×C7—21no—
319C22×C4×C7—21no—
320C22×C4×C7—21no—
321C22×C4×C7—21no—
322C22×C4×C7—21no—
323C22×C4×C7—21no—
324C22×C4×C7—21no—
325C22×C4×C7—28no—
326C22×C4×C7—28no—
327C22×C4×C7—21no—
328C22×C4×C7—21no—
329C22×C4×C7—21no—
330C22×C4×C7—21no—
331C22×C4×C7—21no—
332C22×C4×C7—21no—
333C22×C4×C7—21no—
334C22×C4×C7—21no—
335C22×C4×C7—21no—
336C22×C4×C7—21no—
337C22×C4×C7—21no—
338C22×C4×C7—21no—
339C22×C4×C7—21no—
340C22×C4×C7—21no—
341C22×C4×C7—44no—
342C22×C4×C7—44no—
343C22×C4×C7—44no—
344C22×C4×C7—44no—
345C22×C4×C7—44no—
346C22×C4×C7—44no—
347C22×C4×C7—44no—
348C22×C4×C7—44no—
349C22×C4×C7—44no—
350C22×C4×C7—44no—
351C22×C4×C7—44no—
352C22×C4×C7—44no—
353C22×C4×C7—44no—
354C22×C4×C7—44no—
355C22×C4×C7—44no—
356C22×C4×C7—44no—
357C22×C4×C7—44no—
358C22×C4×C7—44no—
359C22×C4×C7—44no—
360C22×C4×C7—44no—
361C22×C4×C7—44no—
362C22×C4×C7—44no—
363C22×C4×C7C22×C412yes—
364C22×C4×C7C22×C412yes—
365C22×C4×C7C22×C412yes—
366C22×C4×C7C22×C412yes—
367C22×C4×C7C2×D412yes—
368C22×C4×C7C2×D412yes—
369C22×C4×C7C2×D412yes—
370C22×C4×C7C2×D412yes—
371C22×C4×C7C2×D412yes—
372C22×C4×C7C2×D412yes—
373C22×C4×C7C2×D412yes—
374C22×C4×C7C2×D412yes—
375C22×C4×C7C2×D412yes—
376C22×C4×C7#4112yes—
377C22×C4×C7#4112yes—
378C22×C4×C7#4112yes—
379C7×C4⋊C4—28no—
380C7×C4⋊C4—28no—
381C7×C22⋊C4—28no—
382C7×C22⋊C4—28no—
383C7×C22⋊C4—28no—
384C7×C22⋊C4—28no—
385C7×C22⋊C4—44no—
386C7×C22⋊C4—44no—
387C7×C22⋊C4—44no—
388C7×C22⋊C4—44no—
389C7×C22⋊C4—44no—
390C7×C22⋊C4—44no—
391C7×C22⋊C4—44no—
392C42×C7—28no—
393C23×D4C22×C711yescharacteristic
394C23×D4C22×C711yescharacteristic
395C23×D4C22×C711yescharacteristic
396C24×C4C22×C711yescharacteristic
397C24×C4C22×C711yescharacteristic
398C24×C4C22×C711yescharacteristic
399C24×C4C22×C711yescharacteristic
400C2×#121—24no—
401C2×#121—24no—
402C2×#121C4×C718yescomplemented
403C2×C4×D4—24no—
404C2×C4×D4—24no—
405C2×C4×D4—24no—
406C22×C4⋊C4C22×C711yescharacteristic
407C22×C4⋊C4C22×C711yescharacteristic
408C22×C22⋊C4C22×C711yescharacteristic
409C22×C22⋊C4C22×C711yescharacteristic
410C22×C22⋊C4C22×C711yescharacteristic
411C22×C22⋊C4C22×C711yescharacteristic
412C22×C22⋊C4C22×C711yescharacteristic
413C22×C22⋊C4C22×C711yescharacteristic
414C22×C22⋊C4C22×C711yescharacteristic
415C22×C22⋊C4C22×C711yescharacteristic
416C22×C22⋊C4C22×C711yescharacteristic
417C22×C22⋊C4C22×C711yescharacteristic
418C22×C22⋊C4C22×C711yescharacteristic
419C22×C42C22×C711yescharacteristic
420#386—24no—
421#386—24no—
422#386—24no—
423#386—24no—
424C2×#95—24no—
425C2×#95C22×C711yescharacteristic
426C2×#95C22×C711yescharacteristic
427C2×#95C22×C711yescharacteristic
428C2×#95C22×C711yescharacteristic
429C2×#95C22×C711yescharacteristic
430C2×#95C22×C711yescharacteristic
431C2×#95C22×C711yescharacteristic
432C2×#95C22×C711yescharacteristic
433C2×#95C22×C711yescharacteristic
434C2×#95C22×C711yescharacteristic
435C2×#95C22×C711yescharacteristic
436C2×#95C22×C711yescharacteristic
437C2×#95C22×C711yescharacteristic
438C2×#95C22×C711yescharacteristic
439C23×C7—22no—
440C23×C7—22no—
441C23×C7—22no—
442C23×C7—22no—
443C23×C7—22no—
444C23×C7—22no—
445C23×C7—22no—
446C23×C7—22no—
447C23×C7—22no—
448C23×C7—22no—
449C23×C7—22no—
450C23×C7—22no—
451C23×C7—22no—
452C23×C7—22no—
453C23×C7—22no—
454C23×C7—22no—
455C23×C7—22no—
456C23×C7—22no—
457C23×C7—22no—
458C23×C7—22no—
459C23×C7—22no—
460C23×C7—22no—
461C23×C7—22no—
462C23×C7—22no—
463C23×C7—22no—
464C23×C7—22no—
465C23×C7—22no—
466C23×C7—22no—
467C23×C7—22no—
468C23×C7—22no—
469C23×C7—22no—
470C23×C7—22no—
471C23×C7—22no—
472C23×C7—22no—
473C23×C7—22no—
474C23×C7—22no—
475C23×C7—22no—
476C23×C7—22no—
477C23×C7—22no—
478C23×C7—22no—
479C23×C7—22no—
480C23×C7—22no—
481C23×C7—22no—
482C23×C7—22no—
483C23×C7—22no—
484C23×C7—22no—
485C23×C7—22no—
486C23×C7—22no—
487C23×C7—22no—
488C23×C7—22no—
489C23×C7—22no—
490C23×C7—22no—
491C23×C7—22no—
492C23×C7—41no—
493C23×C7—41no—
494C23×C7—41no—
495C23×C7—41no—
496C23×C7—41no—
497C23×C7—41no—
498C23×C7—41no—
499C23×C7—41no—
500C23×C7—41no—
501C23×C7—41no—
502C23×C7—41no—
503C23×C7—41no—
504C23×C7—41no—
505C23×C7—41no—
506C23×C7—41no—
507C23×C7—41no—
508C23×C7—41no—
509C23×C7—41no—
510C23×C7—41no—
511C23×C7—41no—
512C23×C7—41no—
513C23×C7—41no—
514C23×C7—41no—
515C23×C7—41no—
516C23×C7—41no—
517C23×C7—41no—
518C23×C7—41no—
519C23×C7—41no—
520C23×C7—41no—
521C23×C7—41no—
522C23×C7—41no—
523C23×C7—41no—
524C23×C7—41no—
525C23×C7—41no—
526C23×C7—41no—
527C23×C7—41no—
528C23×C7—41no—
529C23×C7—41no—
530C23×C7—41no—
531C23×C7—41no—
532C23×C7—41no—
533C23×C7—41no—
534C23×C7—41no—
535C23×C7—41no—
536C23×C7C2×C22⋊C414yes—
537C23×C7C2×C22⋊C414yes—
538C23×C7C4×D414yes—
539C23×C7C4×D414yes—
540C23×C7#12014yes—
541C23×C7#12114yes—
542C23×C7#12114yes—
543C23×C7#12314yes—
544C23×C7C23×C411yescharacteristic
545C23×C7C22×D411yescharacteristic
546C23×C7C22×D411yescharacteristic
547C23×C7C22×D411yescharacteristic
548C23×C7C22×D411yescharacteristic
549C23×C7C22×D411yescharacteristic
550C23×C7C2×#4111yescharacteristic
551C23×C7C2×#4111yescharacteristic
552C23×C7C2×#4111yescharacteristic
553C23×C7C2×#4111yescharacteristic
554C23×C7C2×#4111yescharacteristic
555C23×C7H(5,𝔽2)11yescharacteristic
556C23×C7H(5,𝔽2)11yescharacteristic
557C23×C7H(5,𝔽2)11yescharacteristic
558C23×C72−1+411yescharacteristic
559C7×D4—232no—
560C7×D4—416no—
561C7×D4—416no—
562C2×C4×C7—22no—
563C2×C4×C7—22no—
564C2×C4×C7—22no—
565C2×C4×C7—22no—
566C2×C4×C7—22no—
567C2×C4×C7—22no—
568C2×C4×C7—22no—
569C2×C4×C7—22no—
570C2×C4×C7—22no—
571C2×C4×C7—22no—
572C2×C4×C7—22no—
573C2×C4×C7—22no—
574C2×C4×C7—22no—
575C2×C4×C7—22no—
576C2×C4×C7—22no—
577C2×C4×C7—22no—
578C2×C4×C7—22no—
579C2×C4×C7—22no—
580C2×C4×C7—22no—
581C2×C4×C7—22no—
582C2×C4×C7—22no—
583C2×C4×C7—22no—
584C2×C4×C7—22no—
585C2×C4×C7—22no—
586C2×C4×C7—22no—
587C2×C4×C7—22no—
588C2×C4×C7—22no—
589C2×C4×C7—22no—
590C2×C4×C7—22no—
591C2×C4×C7—22no—
592C2×C4×C7—22no—
593C2×C4×C7—22no—
594C2×C4×C7—22no—
595C2×C4×C7—22no—
596C2×C4×C7—22no—
597C2×C4×C7—22no—
598C2×C4×C7—22no—
599C2×C4×C7—22no—
600C2×C4×C7—22no—
601C2×C4×C7—416no—
602C2×C4×C7—416no—
603C2×C4×C7—416no—
604C2×C4×C7—416no—
605C2×C4×C7—41no—
606C2×C4×C7—41no—
607C2×C4×C7—41no—
608C2×C4×C7—41no—
609C2×C4×C7—41no—
610C2×C4×C7—41no—
611C2×C4×C7—41no—
612C2×C4×C7—41no—
613C2×C4×C7—41no—
614C2×C4×C7—41no—
615C2×C4×C7—41no—
616C2×C4×C7—41no—
617C2×C4×C7—41no—
618C2×C4×C7—41no—
619C2×C4×C7—41no—
620C2×C4×C7—41no—
621C2×C4×C7—41no—
622C2×C4×C7—41no—
623C2×C4×C7—41no—
624C2×C4×C7—41no—
625C2×C4×C7—41no—
626C2×C4×C7—41no—
627C2×C4×C7—41no—
628C2×C4×C7—41no—
629C2×C4×C7—41no—
630C2×C4×C7—41no—
631C2×C4×C7—41no—
632C2×C4×C7—41no—
633C2×C4×C7—41no—
634C2×C4×C7—41no—
635C2×C4×C7—41no—
636C2×C4×C7—41no—
637C2×C4×C7—41no—
638C2×C4×C7—41no—
639C2×C4×C7—41no—
640C2×C4×C7—41no—
641C2×C4×C7—41no—
642C2×C4×C7—41no—
643C2×C4×C7—41no—
644C2×C4×C7—41no—
645C2×C4×C7—41no—
646C2×C4×C7—41no—
647C2×C4×C7C2×C22⋊C414yes—
648C2×C4×C7C4×D414yescomplemented
649C2×C4×C7#12114yescomplemented
650C25C23×C711yescharacteristic
651C25C23×C711yescharacteristic
652C25C23×C711yescharacteristic
653C22×D4—22no—
654C22×D4—22no—
655C22×D4—22no—
656C22×D4—22no—
657C22×D4—22no—
658C22×D4—22no—
659C22×D4—22no—
660C22×D4—22no—
661C22×D4—22no—
662C22×D4—22no—
663C22×D4—22no—
664C22×D4—22no—
665C22×D4—22no—
666C22×D4—22no—
667C22×D4—41no—
668C22×D4—41no—
669C22×D4C2×C4×C714yes—
670C22×D4C2×C4×C714yescomplemented
671C22×D4C2×C4×C714yescomplemented
672C22×D4C7×D414yes—
673C22×D4C7×D414yes—
674C23×C4—22no—
675C23×C4—22no—
676C23×C4—22no—
677C23×C4—22no—
678C23×C4—22no—
679C23×C4—22no—
680C23×C4—22no—
681C23×C4—22no—
682C23×C4—22no—
683C23×C4—22no—
684C23×C4—22no—
685C23×C4—22no—
686C23×C4—22no—
687C23×C4—22no—
688C23×C4—22no—
689C23×C4—22no—
690C23×C4—22no—
691C23×C4—22no—
692C23×C4—41no—
693C23×C4—41no—
694C23×C4—41no—
695C23×C4—41no—
696C23×C4—41no—
697C23×C4—41no—
698C23×C4—41no—
699C23×C4—41no—
700C23×C4C2×C4×C714yescomplemented
701C23×C4C7×D414yescomplemented
702C23×C4C23×C711yescharacteristic
703C23×C4C23×C711yescharacteristic
704C23×C4C23×C711yescharacteristic
705C23×C4C23×C711yescharacteristic
706C23×C4C23×C711yescharacteristic
707C23×C4C23×C711yescharacteristic
708C23×C4C23×C711yescharacteristic
709C23×C4C23×C711yescharacteristic
710C23×C4C23×C711yescharacteristic
711C23×C4C23×C711yescharacteristic
712C23×C4C23×C711yescharacteristic
713C23×C4C23×C711yescharacteristic
714#121—232no—
715C4×D4—232no—
716C2×C4⋊C4—22no—
717C2×C4⋊C4—22no—
718C2×C4⋊C4—22no—
719C2×C4⋊C4—22no—
720C2×C4⋊C4—22no—
721C2×C4⋊C4C2×C4×C714yescomplemented
722C2×C22⋊C4—22no—
723C2×C22⋊C4—22no—
724C2×C22⋊C4—22no—
725C2×C22⋊C4—22no—
726C2×C22⋊C4—22no—
727C2×C22⋊C4—22no—
728C2×C22⋊C4—22no—
729C2×C22⋊C4—22no—
730C2×C22⋊C4—22no—
731C2×C22⋊C4—22no—
732C2×C22⋊C4—22no—
733C2×C22⋊C4—22no—
734C2×C22⋊C4—22no—
735C2×C22⋊C4—22no—
736C2×C22⋊C4—22no—
737C2×C22⋊C4—22no—
738C2×C22⋊C4—22no—
739C2×C22⋊C4—22no—
740C2×C22⋊C4—22no—
741C2×C22⋊C4—22no—
742C2×C22⋊C4—22no—
743C2×C22⋊C4—22no—
744C2×C22⋊C4—22no—
745C2×C22⋊C4—22no—
746C2×C22⋊C4—41no—
747C2×C22⋊C4—41no—
748C2×C22⋊C4—41no—
749C2×C22⋊C4—41no—
750C2×C22⋊C4—41no—
751C2×C22⋊C4—41no—
752C2×C22⋊C4C2×C4×C714yescomplemented
753C2×C22⋊C4C2×C4×C714yescomplemented
754C2×C22⋊C4C7×D414yescomplemented
755C2×C42—22no—
756C2×C42—22no—
757C2×C42—22no—
758#95—22no—
759#95—22no—
760#95—22no—
761#95—22no—
762#95—22no—
763#95—22no—
764#95—22no—
765#95—22no—
766#95—22no—
767#95—22no—
768#95—22no—
769#95—41no—
770#95—41no—
771#95C7×D414yescomplemented
772C22×C7—24no—
773C22×C7—24no—
774C22×C7—24no—
775C22×C7—24no—
776C22×C7—24no—
777C22×C7—24no—
778C22×C7—24no—
779C22×C7—24no—
780C22×C7—24no—
781C22×C7—24no—
782C22×C7—24no—
783C22×C7—24no—
784C22×C7—24no—
785C22×C7—24no—
786C22×C7—24no—
787C22×C7—24no—
788C22×C7—24no—
789C22×C7—42no—
790C22×C7—42no—
791C22×C7—42no—
792C22×C7—42no—
793C22×C7—42no—
794C22×C7—42no—
795C22×C7—42no—
796C22×C7—42no—
797C22×C7—42no—
798C22×C7—42no—
799C22×C7—42no—
800C22×C7—42no—
801C22×C7—42no—
802C22×C7—42no—
803C22×C7—42no—
804C22×C7—42no—
805C22×C7—42no—
806C22×C7—42no—
807C22×C7—42no—
808C22×C7—81no—
809C22×C7—81no—
810C22×C7—81no—
811C22×C7—81no—
812C22×C7—81no—
813C22×C7—81no—
814C22×C7—81no—
815C22×C7—81no—
816C22×C7#38618yescomplemented
817C22×C7C22×C22⋊C411yescharacteristic
818C22×C7C2×C4×D411yescharacteristic
819C22×C7C2×C4×D411yescharacteristic
820C22×C7C2×C4×D411yescharacteristic
821C22×C7C4×#4111yescharacteristic
822C22×C7#51811yescharacteristic
823C22×C7#52011yescharacteristic
824C22×C7C2×#12011yescharacteristic
825C22×C7C2×#12111yescharacteristic
826C22×C7C2×#12111yescharacteristic
827C22×C7C2×#12111yescharacteristic
828C22×C7C2×#12311yescharacteristic
829C22×C7#52511yescharacteristic
830C22×C7#52911yescharacteristic
831C22×C7#53211yescharacteristic
832C22×C7#53411yescharacteristic
833C22×C7#53711yescharacteristic
834C22×C7#53811yescharacteristic
835C22×C7#53911yescharacteristic
836C22×C7D4211yescharacteristic
837C22×C7D4211yescharacteristic
838C22×C7D4211yescharacteristic
839C22×C7#54611yescharacteristic
840C22×C7#54611yescharacteristic
841C22×C7#54611yescharacteristic
842C22×C7#54611yescharacteristic
843C22×C7#54611yescharacteristic
844C22×C7#54611yescharacteristic
845C22×C7#54711yescharacteristic
846C22×C7#54711yescharacteristic
847C22×C7#54711yescharacteristic
848C22×C7#54811yescharacteristic
849C22×C7#55311yescharacteristic
850C22×C7#55311yescharacteristic
851C22×C7#55311yescharacteristic
852C4×C7—24no—
853C4×C7—24no—
854C4×C7—24no—
855C4×C7—42no—
856C4×C7—42no—
857C4×C7—42no—
858C4×C7—42no—
859C4×C7—42no—
860C4×C7—42no—
861C4×C7—42no—
862C4×C7—81no—
863C4×C7—81no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24C22×C4×C712yes—
899C24C22×C4×C712yes—
900C24C22×C4×C712yes—
901C24C2×C7×D412yes—
902C24C2×C7×D412yes—
903C24C2×C7×D412yes—
904C24C2×C7×D412yes—
905C24C2×C7×D412yes—
906C24C2×C7×D412yes—
907C24C7×#4112yes—
908C24C7×#4112yes—
909C24C24×C711yescharacteristic
910C2×D4—28no—
911C2×D4—28no—
912C2×D4—28no—
913C2×D4—28no—
914C2×D4—28no—
915C2×D4—28no—
916C2×D4—28no—
917C2×D4—28no—
918C2×D4—28no—
919C2×D4—28no—
920C2×D4—28no—
921C2×D4—44no—
922C2×D4—44no—
923C2×D4—44no—
924C2×D4—44no—
925C2×D4—44no—
926C2×D4—44no—
927C2×D4—44no—
928C2×D4—44no—
929C2×D4—44no—
930C2×D4C7×C22⋊C4116yescomplemented
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—28no—
944C22×C4—28no—
945C22×C4—28no—
946C22×C4—28no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—28no—
990C22×C4—28no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—44no—
1006C22×C4—44no—
1007C22×C4—44no—
1008C22×C4—44no—
1009C22×C4—44no—
1010C22×C4—44no—
1011C22×C4—44no—
1012C22×C4—44no—
1013C22×C4—44no—
1014C22×C4—44no—
1015C22×C4—44no—
1016C22×C4—44no—
1017C22×C4—44no—
1018C22×C4—44no—
1019C22×C4—44no—
1020C22×C4—44no—
1021C22×C4—44no—
1022C22×C4—44no—
1023C22×C4—44no—
1024C22×C4—44no—
1025C22×C4—44no—
1026C22×C4—44no—
1027C22×C4C22×C4×C712yes—
1028C22×C4C22×C4×C712yes—
1029C22×C4C22×C4×C712yes—
1030C22×C4C22×C4×C712yes—
1031C22×C4C2×C7×D412yes—
1032C22×C4C2×C7×D412yes—
1033C22×C4C2×C7×D412yes—
1034C22×C4C2×C7×D412yes—
1035C22×C4C2×C7×D412yes—
1036C22×C4C2×C7×D412yes—
1037C22×C4C2×C7×D412yes—
1038C22×C4C2×C7×D412yes—
1039C22×C4C2×C7×D412yes—
1040C22×C4C7×#4112yes—
1041C22×C4C7×#4112yes—
1042C22×C4C7×#4112yes—
1043C4⋊C4—28no—
1044C4⋊C4—28no—
1045C22⋊C4—28no—
1046C22⋊C4—28no—
1047C22⋊C4—28no—
1048C22⋊C4—28no—
1049C22⋊C4—44no—
1050C22⋊C4—44no—
1051C22⋊C4—44no—
1052C22⋊C4—44no—
1053C22⋊C4—44no—
1054C22⋊C4—44no—
1055C22⋊C4—44no—
1056C42—28no—
1057C2×C7—28no—
1058C2×C7—44no—
1059C2×C7—82no—
1060C2×C7C2×#38611yescharacteristic
1061C2×C7C4×#12111yescharacteristic
1062C2×C7#232511yescharacteristic
1063C2×C7D4×C22⋊C411yescharacteristic
1064C2×C7#233911yescharacteristic
1065C2×C7#236111yescharacteristic
1066C2×C7#236411yescharacteristic
1067C2×C7#241011yescharacteristic
1068C2×C7#241611yescharacteristic
1069C2×C7#242411yescharacteristic
1070C2×C7#242511yescharacteristic
1071C2×C7#243011yescharacteristic
1072C2×C7#244311yescharacteristic
1073C2×C7#244411yescharacteristic
1074C2×C7#254311yescharacteristic
1075C23—22no—
1076C23—22no—
1077C23—22no—
1078C23—22no—
1079C23—22no—
1080C23—22no—
1081C23—22no—
1082C23—22no—
1083C23—22no—
1084C23—22no—
1085C23—22no—
1086C23—22no—
1087C23—22no—
1088C23—22no—
1089C23—22no—
1090C23—22no—
1091C23—22no—
1092C23—22no—
1093C23—22no—
1094C23—22no—
1095C23—22no—
1096C23—22no—
1097C23—22no—
1098C23—22no—
1099C23—22no—
1100C23—22no—
1101C23—22no—
1102C23—22no—
1103C23—22no—
1104C23—22no—
1105C23—22no—
1106C23—22no—
1107C23—22no—
1108C23—22no—
1109C23—22no—
1110C23—22no—
1111C23—22no—
1112C23—22no—
1113C23—22no—
1114C23—22no—
1115C23—22no—
1116C23—22no—
1117C23—22no—
1118C23—22no—
1119C23—22no—
1120C23—22no—
1121C23—22no—
1122C23—22no—
1123C23—22no—
1124C23—22no—
1125C23—22no—
1126C23—22no—
1127C23—22no—
1128C23—41no—
1129C23—41no—
1130C23—41no—
1131C23—41no—
1132C23—41no—
1133C23—41no—
1134C23—41no—
1135C23—41no—
1136C23—41no—
1137C23—41no—
1138C23—41no—
1139C23—41no—
1140C23—41no—
1141C23—41no—
1142C23—41no—
1143C23—41no—
1144C23—41no—
1145C23—41no—
1146C23—41no—
1147C23—41no—
1148C23—41no—
1149C23—41no—
1150C23—41no—
1151C23—41no—
1152C23—41no—
1153C23—41no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23C2×C7×C22⋊C414yes—
1173C23C2×C7×C22⋊C414yes—
1174C23C4×C7×D414yes—
1175C23C4×C7×D414yes—
1176C23C7×#12014yes—
1177C23C7×#12114yes—
1178C23C7×#12114yes—
1179C23C7×#12314yes—
1180C23C23×C4×C711yescharacteristic
1181C23C22×C7×D411yescharacteristic
1182C23C22×C7×D411yescharacteristic
1183C23C22×C7×D411yescharacteristic
1184C23C22×C7×D411yescharacteristic
1185C23C22×C7×D411yescharacteristic
1186C23C2×C7×#4111yescharacteristic
1187C23C2×C7×#4111yescharacteristic
1188C23C2×C7×#4111yescharacteristic
1189C23C2×C7×#4111yescharacteristic
1190C23C2×C7×#4111yescharacteristic
1191C23C7×H(5,𝔽2)11yescharacteristic
1192C23C7×H(5,𝔽2)11yescharacteristic
1193C23C7×H(5,𝔽2)11yescharacteristic
1194C23C7×2−1+411yescharacteristic
1195D4—232no—
1196D4—416no—
1197D4—416no—
1198C2×C4—22no—
1199C2×C4—22no—
1200C2×C4—22no—
1201C2×C4—22no—
1202C2×C4—22no—
1203C2×C4—22no—
1204C2×C4—22no—
1205C2×C4—22no—
1206C2×C4—22no—
1207C2×C4—22no—
1208C2×C4—22no—
1209C2×C4—22no—
1210C2×C4—22no—
1211C2×C4—22no—
1212C2×C4—22no—
1213C2×C4—22no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
1218C2×C4—22no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—22no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—416no—
1238C2×C4—416no—
1239C2×C4—416no—
1240C2×C4—416no—
1241C2×C4—41no—
1242C2×C4—41no—
1243C2×C4—41no—
1244C2×C4—41no—
1245C2×C4—41no—
1246C2×C4—41no—
1247C2×C4—41no—
1248C2×C4—41no—
1249C2×C4—41no—
1250C2×C4—41no—
1251C2×C4—41no—
1252C2×C4—41no—
1253C2×C4—41no—
1254C2×C4—41no—
1255C2×C4—41no—
1256C2×C4—41no—
1257C2×C4—41no—
1258C2×C4—41no—
1259C2×C4—41no—
1260C2×C4—41no—
1261C2×C4—41no—
1262C2×C4—41no—
1263C2×C4—41no—
1264C2×C4—41no—
1265C2×C4—41no—
1266C2×C4—41no—
1267C2×C4—41no—
1268C2×C4—41no—
1269C2×C4—41no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4C2×C7×C22⋊C414yes—
1284C2×C4C4×C7×D414yescomplemented
1285C2×C4C7×#12114yescomplemented
1286C7#1402311yescharacteristic, direct product factor, Sylow
1287C22—24no—
1288C22—24no—
1289C22—24no—
1290C22—24no—
1291C22—24no—
1292C22—24no—
1293C22—24no—
1294C22—24no—
1295C22—24no—
1296C22—24no—
1297C22—24no—
1298C22—24no—
1299C22—24no—
1300C22—24no—
1301C22—24no—
1302C22—24no—
1303C22—24no—
1304C22—42no—
1305C22—42no—
1306C22—42no—
1307C22—42no—
1308C22—42no—
1309C22—42no—
1310C22—42no—
1311C22—42no—
1312C22—42no—
1313C22—42no—
1314C22—42no—
1315C22—42no—
1316C22—42no—
1317C22—42no—
1318C22—42no—
1319C22—42no—
1320C22—42no—
1321C22—42no—
1322C22—42no—
1323C22—81no—
1324C22—81no—
1325C22—81no—
1326C22—81no—
1327C22—81no—
1328C22—81no—
1329C22—81no—
1330C22—81no—
1331C22C7×#38618yescomplemented
1332C22C22×C7×C22⋊C411yescharacteristic
1333C22C2×C4×C7×D411yescharacteristic
1334C22C2×C4×C7×D411yescharacteristic
1335C22C2×C4×C7×D411yescharacteristic
1336C22C4×C7×#4111yescharacteristic
1337C22C7×#51811yescharacteristic
1338C22C7×#52011yescharacteristic
1339C22C2×C7×#12011yescharacteristic
1340C22C2×C7×#12111yescharacteristic
1341C22C2×C7×#12111yescharacteristic
1342C22C2×C7×#12111yescharacteristic
1343C22C2×C7×#12311yescharacteristic
1344C22C7×#52511yescharacteristic
1345C22C7×#52911yescharacteristic
1346C22C7×#53211yescharacteristic
1347C22C7×#53411yescharacteristic
1348C22C7×#53711yescharacteristic
1349C22C7×#53811yescharacteristic
1350C22C7×#53911yescharacteristic
1351C22C7×D4211yescharacteristic
1352C22C7×D4211yescharacteristic
1353C22C7×D4211yescharacteristic
1354C22C7×#54611yescharacteristic
1355C22C7×#54611yescharacteristic
1356C22C7×#54611yescharacteristic
1357C22C7×#54611yescharacteristic
1358C22C7×#54611yescharacteristic
1359C22C7×#54611yescharacteristic
1360C22C7×#54711yescharacteristic
1361C22C7×#54711yescharacteristic
1362C22C7×#54711yescharacteristic
1363C22C7×#54811yescharacteristic
1364C22C7×#55311yescharacteristic
1365C22C7×#55311yescharacteristic
1366C22C7×#55311yescharacteristic
1367C4—24no—
1368C4—24no—
1369C4—24no—
1370C4—42no—
1371C4—42no—
1372C4—42no—
1373C4—42no—
1374C4—42no—
1375C4—42no—
1376C4—42no—
1377C4—81no—
1378C4—81no—
1379C2—28no—
1380C2—44no—
1381C2—82no—
1382C2C2×C7×#38611yescharacteristic
1383C2C4×C7×#12111yescharacteristic
1384C2C7×#232511yescharacteristic
1385C2C7×D4×C22⋊C411yescharacteristic
1386C2C7×#233911yescharacteristic
1387C2C7×#236111yescharacteristic
1388C2C7×#236411yescharacteristic
1389C2C7×#241011yescharacteristic
1390C2C7×#241611yescharacteristic
1391C2C7×#242411yescharacteristic
1392C2C7×#242511yescharacteristic
1393C2C7×#243011yescharacteristic
1394C2C7×#244311yescharacteristic
1395C2C7×#244411yescharacteristic
1396C2C7×#254311yescharacteristic
subgroupG/H
center, socleC24×C7C24
commutatorC23C23×C4×C7
Frattini, cosocleC24C24×C7
prime radicalC22×C7×#121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C7 ◁ G

Complements

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

NH ≅ G/Ntype
2. C22×C4×C7×D4C2semidirect
3. C2×C7×#386C2semidirect
4. C2×C7×#386C2semidirect
5. C2×C7×#386C2semidirect
6. C2×C7×#386C2semidirect
7. C22×C7×#95C2semidirect
8. C7×#1441C2semidirect
9. C7×#1440C2semidirect
10. C7×#1439C2semidirect
11. C7×#1438C2semidirect
12. C7×#1437C2semidirect
13. C7×#1436C2semidirect
14. C7×C22⋊#95C2semidirect
15. C7×C22⋊#95C2semidirect
25. C2×C7×#121C4semidirect
62. #14023C7direct (N × H)
83. C22×C7×D4C2×C4semidirect
84. C22×C7×D4C2×C4semidirect
113. C23×C4×C7C2×C4semidirect
114. C23×C4×C7D4semidirect
134. C2×C7×C4⋊C4C2×C4semidirect
165. C2×C7×C22⋊C4C2×C4semidirect
166. C2×C7×C22⋊C4C2×C4semidirect
167. C2×C7×C22⋊C4D4semidirect
184. C7×#95D4semidirect
186. C22×C4×D4C2×C7semidirect
187. C2×#386C2×C7semidirect
188. C2×#386C2×C7semidirect
189. C2×#386C2×C7semidirect
190. C2×#386C2×C7semidirect
191. C22×#95C2×C7semidirect
192. #1441C2×C7semidirect
193. #1440C2×C7semidirect
194. #1439C2×C7semidirect
195. #1438C2×C7semidirect
196. #1437C2×C7semidirect
197. #1436C2×C7semidirect
198. C22⋊#95C2×C7semidirect
199. C22⋊#95C2×C7semidirect
266. C2×C7×D4C22⋊C4semidirect
402. C2×#121C4×C7semidirect
648. C2×C4×C7C4×D4semidirect
649. C2×C4×C7#121semidirect
670. C22×D4C2×C4×C7semidirect
671. C22×D4C2×C4×C7semidirect
700. C23×C4C2×C4×C7semidirect
701. C23×C4C7×D4semidirect
721. C2×C4⋊C4C2×C4×C7semidirect
752. C2×C22⋊C4C2×C4×C7semidirect
753. C2×C22⋊C4C2×C4×C7semidirect
754. C2×C22⋊C4C7×D4semidirect
771. #95C7×D4semidirect
816. C22×C7#386semidirect
930. C2×D4C7×C22⋊C4semidirect
1284. C2×C4C4×C7×D4semidirect
1285. C2×C4C7×#121semidirect
1286. C7#14023direct (N × H)
1331. C22C7×#386semidirect

Maximal subgroups

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

subgroupindex
C22×C7×#1212
C22×C4×C7×D42
C2×C7×#3862
C22×C7×#952
C7×#14412
C7×#14402
C7×#14392
C7×#14382
C7×#14372
C7×#14362
C7×C22⋊#952
#140237