Finite Group Databasebeta

← C67×#14023 #30693274

Subgroups — C67×#14023 #30693274

Order 17152.

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×#121×C67C211yesmaximal, characteristic
2C22×C4×D4×C67C211yesmaximal, characteristic, complemented
3C2×#386×C67C211yesmaximal, characteristic, complemented
4C2×#386×C67C211yesmaximal, characteristic, complemented
5C2×#386×C67C211yesmaximal, characteristic, complemented
6C2×#386×C67C211yesmaximal, characteristic, complemented
7C22×#95×C67C211yesmaximal, characteristic, complemented
8C67×#1441C211yesmaximal, characteristic, complemented
9C67×#1440C211yesmaximal, characteristic, complemented
10C67×#1439C211yesmaximal, characteristic, complemented
11C67×#1438C211yesmaximal, characteristic, complemented
12C67×#1437C211yesmaximal, characteristic, complemented
13C67×#1436C211yesmaximal, characteristic, complemented
14C67×C22⋊#95C211yesmaximal, characteristic, complemented
15C67×C22⋊#95C211yesmaximal, characteristic, complemented
16C23×D4×C67C2211yescharacteristic
17C23×D4×C67C2211yescharacteristic
18C23×D4×C67C2211yescharacteristic
19C24×C4×C67C2211yescharacteristic
20C24×C4×C67C2211yescharacteristic
21C24×C4×C67C2211yescharacteristic
22C24×C4×C67C2211yescharacteristic
23C2×#121×C67—24no—
24C2×#121×C67—24no—
25C2×#121×C67C418yescomplemented
26C2×C4×D4×C67—24no—
27C2×C4×D4×C67—24no—
28C2×C4×D4×C67—24no—
29C22×C4⋊C4×C67C2211yescharacteristic
30C22×C4⋊C4×C67C2211yescharacteristic
31C22×C22⋊C4×C67C2211yescharacteristic
32C22×C22⋊C4×C67C2211yescharacteristic
33C22×C22⋊C4×C67C2211yescharacteristic
34C22×C22⋊C4×C67C2211yescharacteristic
35C22×C22⋊C4×C67C2211yescharacteristic
36C22×C22⋊C4×C67C2211yescharacteristic
37C22×C22⋊C4×C67C2211yescharacteristic
38C22×C22⋊C4×C67C2211yescharacteristic
39C22×C22⋊C4×C67C2211yescharacteristic
40C22×C22⋊C4×C67C2211yescharacteristic
41C22×C22⋊C4×C67C2211yescharacteristic
42C22×C42×C67C2211yescharacteristic
43#386×C67—24no—
44#386×C67—24no—
45#386×C67—24no—
46#386×C67—24no—
47C2×#95×C67—24no—
48C2×#95×C67C2211yescharacteristic
49C2×#95×C67C2211yescharacteristic
50C2×#95×C67C2211yescharacteristic
51C2×#95×C67C2211yescharacteristic
52C2×#95×C67C2211yescharacteristic
53C2×#95×C67C2211yescharacteristic
54C2×#95×C67C2211yescharacteristic
55C2×#95×C67C2211yescharacteristic
56C2×#95×C67C2211yescharacteristic
57C2×#95×C67C2211yescharacteristic
58C2×#95×C67C2211yescharacteristic
59C2×#95×C67C2211yescharacteristic
60C2×#95×C67C2211yescharacteristic
61C2×#95×C67C2211yescharacteristic
62C25×C67C2311yescharacteristic
63C25×C67C2311yescharacteristic
64C25×C67C2311yescharacteristic
65C22×D4×C67—22no—
66C22×D4×C67—22no—
67C22×D4×C67—22no—
68C22×D4×C67—22no—
69C22×D4×C67—22no—
70C22×D4×C67—22no—
71C22×D4×C67—22no—
72C22×D4×C67—22no—
73C22×D4×C67—22no—
74C22×D4×C67—22no—
75C22×D4×C67—22no—
76C22×D4×C67—22no—
77C22×D4×C67—22no—
78C22×D4×C67—22no—
79C22×D4×C67—41no—
80C22×D4×C67—41no—
81C22×D4×C67C2×C414yes—
82C22×D4×C67C2×C414yescomplemented
83C22×D4×C67C2×C414yescomplemented
84C22×D4×C67D414yes—
85C22×D4×C67D414yes—
86C23×C4×C67—22no—
87C23×C4×C67—22no—
88C23×C4×C67—22no—
89C23×C4×C67—22no—
90C23×C4×C67—22no—
91C23×C4×C67—22no—
92C23×C4×C67—22no—
93C23×C4×C67—22no—
94C23×C4×C67—22no—
95C23×C4×C67—22no—
96C23×C4×C67—22no—
97C23×C4×C67—22no—
98C23×C4×C67—22no—
99C23×C4×C67—22no—
100C23×C4×C67—22no—
101C23×C4×C67—22no—
102C23×C4×C67—22no—
103C23×C4×C67—22no—
104C23×C4×C67—41no—
105C23×C4×C67—41no—
106C23×C4×C67—41no—
107C23×C4×C67—41no—
108C23×C4×C67—41no—
109C23×C4×C67—41no—
110C23×C4×C67—41no—
111C23×C4×C67—41no—
112C23×C4×C67C2×C414yescomplemented
113C23×C4×C67D414yescomplemented
114C23×C4×C67C2311yescharacteristic
115C23×C4×C67C2311yescharacteristic
116C23×C4×C67C2311yescharacteristic
117C23×C4×C67C2311yescharacteristic
118C23×C4×C67C2311yescharacteristic
119C23×C4×C67C2311yescharacteristic
120C23×C4×C67C2311yescharacteristic
121C23×C4×C67C2311yescharacteristic
122C23×C4×C67C2311yescharacteristic
123C23×C4×C67C2311yescharacteristic
124C23×C4×C67C2311yescharacteristic
125C23×C4×C67C2311yescharacteristic
126#121×C67—232no—
127C4×D4×C67—232no—
128C2×C4⋊C4×C67—22no—
129C2×C4⋊C4×C67—22no—
130C2×C4⋊C4×C67—22no—
131C2×C4⋊C4×C67—22no—
132C2×C4⋊C4×C67—22no—
133C2×C4⋊C4×C67C2×C414yescomplemented
134C2×C22⋊C4×C67—22no—
135C2×C22⋊C4×C67—22no—
136C2×C22⋊C4×C67—22no—
137C2×C22⋊C4×C67—22no—
138C2×C22⋊C4×C67—22no—
139C2×C22⋊C4×C67—22no—
140C2×C22⋊C4×C67—22no—
141C2×C22⋊C4×C67—22no—
142C2×C22⋊C4×C67—22no—
143C2×C22⋊C4×C67—22no—
144C2×C22⋊C4×C67—22no—
145C2×C22⋊C4×C67—22no—
146C2×C22⋊C4×C67—22no—
147C2×C22⋊C4×C67—22no—
148C2×C22⋊C4×C67—22no—
149C2×C22⋊C4×C67—22no—
150C2×C22⋊C4×C67—22no—
151C2×C22⋊C4×C67—22no—
152C2×C22⋊C4×C67—22no—
153C2×C22⋊C4×C67—22no—
154C2×C22⋊C4×C67—22no—
155C2×C22⋊C4×C67—22no—
156C2×C22⋊C4×C67—22no—
157C2×C22⋊C4×C67—22no—
158C2×C22⋊C4×C67—41no—
159C2×C22⋊C4×C67—41no—
160C2×C22⋊C4×C67—41no—
161C2×C22⋊C4×C67—41no—
162C2×C22⋊C4×C67—41no—
163C2×C22⋊C4×C67—41no—
164C2×C22⋊C4×C67C2×C414yescomplemented
165C2×C22⋊C4×C67C2×C414yescomplemented
166C2×C22⋊C4×C67D414yescomplemented
167C2×C42×C67—22no—
168C2×C42×C67—22no—
169C2×C42×C67—22no—
170#95×C67—22no—
171#95×C67—22no—
172#95×C67—22no—
173#95×C67—22no—
174#95×C67—22no—
175#95×C67—22no—
176#95×C67—22no—
177#95×C67—22no—
178#95×C67—22no—
179#95×C67—22no—
180#95×C67—22no—
181#95×C67—41no—
182#95×C67—41no—
183#95×C67D414yescomplemented
184C24×C67—21no—
185C24×C67—21no—
186C24×C67—21no—
187C24×C67—21no—
188C24×C67—21no—
189C24×C67—21no—
190C24×C67—21no—
191C24×C67—21no—
192C24×C67—21no—
193C24×C67—21no—
194C24×C67—21no—
195C24×C67—21no—
196C24×C67—21no—
197C24×C67—21no—
198C24×C67—21no—
199C24×C67—21no—
200C24×C67—21no—
201C24×C67—21no—
202C24×C67—21no—
203C24×C67—21no—
204C24×C67—21no—
205C24×C67—21no—
206C24×C67—21no—
207C24×C67—21no—
208C24×C67—21no—
209C24×C67—21no—
210C24×C67—21no—
211C24×C67—21no—
212C24×C67—21no—
213C24×C67—21no—
214C24×C67—21no—
215C24×C67—21no—
216C24×C67—21no—
217C24×C67—21no—
218C24×C67C22×C412yes—
219C24×C67C22×C412yes—
220C24×C67C22×C412yes—
221C24×C67C2×D412yes—
222C24×C67C2×D412yes—
223C24×C67C2×D412yes—
224C24×C67C2×D412yes—
225C24×C67C2×D412yes—
226C24×C67C2×D412yes—
227C24×C67#4112yes—
228C24×C67#4112yes—
229C24×C67C2411yescharacteristic
230C2×D4×C67—28no—
231C2×D4×C67—28no—
232C2×D4×C67—28no—
233C2×D4×C67—28no—
234C2×D4×C67—28no—
235C2×D4×C67—28no—
236C2×D4×C67—28no—
237C2×D4×C67—28no—
238C2×D4×C67—28no—
239C2×D4×C67—28no—
240C2×D4×C67—28no—
241C2×D4×C67—44no—
242C2×D4×C67—44no—
243C2×D4×C67—44no—
244C2×D4×C67—44no—
245C2×D4×C67—44no—
246C2×D4×C67—44no—
247C2×D4×C67—44no—
248C2×D4×C67—44no—
249C2×D4×C67—44no—
250C2×D4×C67C22⋊C4116yescomplemented
251C22×C4×C67—21no—
252C22×C4×C67—21no—
253C22×C4×C67—21no—
254C22×C4×C67—21no—
255C22×C4×C67—21no—
256C22×C4×C67—21no—
257C22×C4×C67—21no—
258C22×C4×C67—21no—
259C22×C4×C67—21no—
260C22×C4×C67—21no—
261C22×C4×C67—21no—
262C22×C4×C67—21no—
263C22×C4×C67—28no—
264C22×C4×C67—28no—
265C22×C4×C67—28no—
266C22×C4×C67—28no—
267C22×C4×C67—21no—
268C22×C4×C67—21no—
269C22×C4×C67—21no—
270C22×C4×C67—21no—
271C22×C4×C67—21no—
272C22×C4×C67—21no—
273C22×C4×C67—21no—
274C22×C4×C67—21no—
275C22×C4×C67—21no—
276C22×C4×C67—21no—
277C22×C4×C67—21no—
278C22×C4×C67—21no—
279C22×C4×C67—21no—
280C22×C4×C67—21no—
281C22×C4×C67—21no—
282C22×C4×C67—21no—
283C22×C4×C67—21no—
284C22×C4×C67—21no—
285C22×C4×C67—21no—
286C22×C4×C67—21no—
287C22×C4×C67—21no—
288C22×C4×C67—21no—
289C22×C4×C67—21no—
290C22×C4×C67—21no—
291C22×C4×C67—21no—
292C22×C4×C67—21no—
293C22×C4×C67—21no—
294C22×C4×C67—21no—
295C22×C4×C67—21no—
296C22×C4×C67—21no—
297C22×C4×C67—21no—
298C22×C4×C67—21no—
299C22×C4×C67—21no—
300C22×C4×C67—21no—
301C22×C4×C67—21no—
302C22×C4×C67—21no—
303C22×C4×C67—21no—
304C22×C4×C67—21no—
305C22×C4×C67—21no—
306C22×C4×C67—21no—
307C22×C4×C67—21no—
308C22×C4×C67—21no—
309C22×C4×C67—28no—
310C22×C4×C67—28no—
311C22×C4×C67—21no—
312C22×C4×C67—21no—
313C22×C4×C67—21no—
314C22×C4×C67—21no—
315C22×C4×C67—21no—
316C22×C4×C67—21no—
317C22×C4×C67—21no—
318C22×C4×C67—21no—
319C22×C4×C67—21no—
320C22×C4×C67—21no—
321C22×C4×C67—21no—
322C22×C4×C67—21no—
323C22×C4×C67—21no—
324C22×C4×C67—21no—
325C22×C4×C67—44no—
326C22×C4×C67—44no—
327C22×C4×C67—44no—
328C22×C4×C67—44no—
329C22×C4×C67—44no—
330C22×C4×C67—44no—
331C22×C4×C67—44no—
332C22×C4×C67—44no—
333C22×C4×C67—44no—
334C22×C4×C67—44no—
335C22×C4×C67—44no—
336C22×C4×C67—44no—
337C22×C4×C67—44no—
338C22×C4×C67—44no—
339C22×C4×C67—44no—
340C22×C4×C67—44no—
341C22×C4×C67—44no—
342C22×C4×C67—44no—
343C22×C4×C67—44no—
344C22×C4×C67—44no—
345C22×C4×C67—44no—
346C22×C4×C67—44no—
347C22×C4×C67C22×C412yes—
348C22×C4×C67C22×C412yes—
349C22×C4×C67C22×C412yes—
350C22×C4×C67C22×C412yes—
351C22×C4×C67C2×D412yes—
352C22×C4×C67C2×D412yes—
353C22×C4×C67C2×D412yes—
354C22×C4×C67C2×D412yes—
355C22×C4×C67C2×D412yes—
356C22×C4×C67C2×D412yes—
357C22×C4×C67C2×D412yes—
358C22×C4×C67C2×D412yes—
359C22×C4×C67C2×D412yes—
360C22×C4×C67#4112yes—
361C22×C4×C67#4112yes—
362C22×C4×C67#4112yes—
363C4⋊C4×C67—28no—
364C4⋊C4×C67—28no—
365C22⋊C4×C67—28no—
366C22⋊C4×C67—28no—
367C22⋊C4×C67—28no—
368C22⋊C4×C67—28no—
369C22⋊C4×C67—44no—
370C22⋊C4×C67—44no—
371C22⋊C4×C67—44no—
372C22⋊C4×C67—44no—
373C22⋊C4×C67—44no—
374C22⋊C4×C67—44no—
375C22⋊C4×C67—44no—
376C42×C67—28no—
377C23×C67—22no—
378C23×C67—22no—
379C23×C67—22no—
380C23×C67—22no—
381C23×C67—22no—
382C23×C67—22no—
383C23×C67—22no—
384C23×C67—22no—
385C23×C67—22no—
386C23×C67—22no—
387C23×C67—22no—
388C23×C67—22no—
389C23×C67—22no—
390C23×C67—22no—
391C23×C67—22no—
392C23×C67—22no—
393C23×C67—22no—
394C23×C67—22no—
395C23×C67—22no—
396C23×C67—22no—
397C23×C67—22no—
398C23×C67—22no—
399C23×C67—22no—
400C23×C67—22no—
401C23×C67—22no—
402C23×C67—22no—
403C23×C67—22no—
404C23×C67—22no—
405C23×C67—22no—
406C23×C67—22no—
407C23×C67—22no—
408C23×C67—22no—
409C23×C67—22no—
410C23×C67—22no—
411C23×C67—22no—
412C23×C67—22no—
413C23×C67—22no—
414C23×C67—22no—
415C23×C67—22no—
416C23×C67—22no—
417C23×C67—22no—
418C23×C67—22no—
419C23×C67—22no—
420C23×C67—22no—
421C23×C67—22no—
422C23×C67—22no—
423C23×C67—22no—
424C23×C67—22no—
425C23×C67—22no—
426C23×C67—22no—
427C23×C67—22no—
428C23×C67—22no—
429C23×C67—22no—
430C23×C67—41no—
431C23×C67—41no—
432C23×C67—41no—
433C23×C67—41no—
434C23×C67—41no—
435C23×C67—41no—
436C23×C67—41no—
437C23×C67—41no—
438C23×C67—41no—
439C23×C67—41no—
440C23×C67—41no—
441C23×C67—41no—
442C23×C67—41no—
443C23×C67—41no—
444C23×C67—41no—
445C23×C67—41no—
446C23×C67—41no—
447C23×C67—41no—
448C23×C67—41no—
449C23×C67—41no—
450C23×C67—41no—
451C23×C67—41no—
452C23×C67—41no—
453C23×C67—41no—
454C23×C67—41no—
455C23×C67—41no—
456C23×C67—41no—
457C23×C67—41no—
458C23×C67—41no—
459C23×C67—41no—
460C23×C67—41no—
461C23×C67—41no—
462C23×C67—41no—
463C23×C67—41no—
464C23×C67—41no—
465C23×C67—41no—
466C23×C67—41no—
467C23×C67—41no—
468C23×C67—41no—
469C23×C67—41no—
470C23×C67—41no—
471C23×C67—41no—
472C23×C67—41no—
473C23×C67—41no—
474C23×C67C2×C22⋊C414yes—
475C23×C67C2×C22⋊C414yes—
476C23×C67C4×D414yes—
477C23×C67C4×D414yes—
478C23×C67#12014yes—
479C23×C67#12114yes—
480C23×C67#12114yes—
481C23×C67#12314yes—
482C23×C67C23×C411yescharacteristic
483C23×C67C22×D411yescharacteristic
484C23×C67C22×D411yescharacteristic
485C23×C67C22×D411yescharacteristic
486C23×C67C22×D411yescharacteristic
487C23×C67C22×D411yescharacteristic
488C23×C67C2×#4111yescharacteristic
489C23×C67C2×#4111yescharacteristic
490C23×C67C2×#4111yescharacteristic
491C23×C67C2×#4111yescharacteristic
492C23×C67C2×#4111yescharacteristic
493C23×C67H(5,𝔽2)11yescharacteristic
494C23×C67H(5,𝔽2)11yescharacteristic
495C23×C67H(5,𝔽2)11yescharacteristic
496C23×C672−1+411yescharacteristic
497D4×C67—232no—
498D4×C67—416no—
499D4×C67—416no—
500C2×C4×C67—22no—
501C2×C4×C67—22no—
502C2×C4×C67—22no—
503C2×C4×C67—22no—
504C2×C4×C67—22no—
505C2×C4×C67—22no—
506C2×C4×C67—22no—
507C2×C4×C67—22no—
508C2×C4×C67—22no—
509C2×C4×C67—22no—
510C2×C4×C67—22no—
511C2×C4×C67—22no—
512C2×C4×C67—22no—
513C2×C4×C67—22no—
514C2×C4×C67—22no—
515C2×C4×C67—22no—
516C2×C4×C67—22no—
517C2×C4×C67—22no—
518C2×C4×C67—22no—
519C2×C4×C67—22no—
520C2×C4×C67—22no—
521C2×C4×C67—22no—
522C2×C4×C67—22no—
523C2×C4×C67—22no—
524C2×C4×C67—22no—
525C2×C4×C67—22no—
526C2×C4×C67—22no—
527C2×C4×C67—22no—
528C2×C4×C67—22no—
529C2×C4×C67—22no—
530C2×C4×C67—22no—
531C2×C4×C67—22no—
532C2×C4×C67—22no—
533C2×C4×C67—22no—
534C2×C4×C67—22no—
535C2×C4×C67—22no—
536C2×C4×C67—22no—
537C2×C4×C67—22no—
538C2×C4×C67—22no—
539C2×C4×C67—416no—
540C2×C4×C67—416no—
541C2×C4×C67—416no—
542C2×C4×C67—416no—
543C2×C4×C67—41no—
544C2×C4×C67—41no—
545C2×C4×C67—41no—
546C2×C4×C67—41no—
547C2×C4×C67—41no—
548C2×C4×C67—41no—
549C2×C4×C67—41no—
550C2×C4×C67—41no—
551C2×C4×C67—41no—
552C2×C4×C67—41no—
553C2×C4×C67—41no—
554C2×C4×C67—41no—
555C2×C4×C67—41no—
556C2×C4×C67—41no—
557C2×C4×C67—41no—
558C2×C4×C67—41no—
559C2×C4×C67—41no—
560C2×C4×C67—41no—
561C2×C4×C67—41no—
562C2×C4×C67—41no—
563C2×C4×C67—41no—
564C2×C4×C67—41no—
565C2×C4×C67—41no—
566C2×C4×C67—41no—
567C2×C4×C67—41no—
568C2×C4×C67—41no—
569C2×C4×C67—41no—
570C2×C4×C67—41no—
571C2×C4×C67—41no—
572C2×C4×C67—41no—
573C2×C4×C67—41no—
574C2×C4×C67—41no—
575C2×C4×C67—41no—
576C2×C4×C67—41no—
577C2×C4×C67—41no—
578C2×C4×C67—41no—
579C2×C4×C67—41no—
580C2×C4×C67—41no—
581C2×C4×C67—41no—
582C2×C4×C67—41no—
583C2×C4×C67—41no—
584C2×C4×C67—41no—
585C2×C4×C67C2×C22⋊C414yes—
586C2×C4×C67C4×D414yescomplemented
587C2×C4×C67#12114yescomplemented
588C22×C67—24no—
589C22×C67—24no—
590C22×C67—24no—
591C22×C67—24no—
592C22×C67—24no—
593C22×C67—24no—
594C22×C67—24no—
595C22×C67—24no—
596C22×C67—24no—
597C22×C67—24no—
598C22×C67—24no—
599C22×C67—24no—
600C22×C67—24no—
601C22×C67—24no—
602C22×C67—24no—
603C22×C67—24no—
604C22×C67—24no—
605C22×C67—42no—
606C22×C67—42no—
607C22×C67—42no—
608C22×C67—42no—
609C22×C67—42no—
610C22×C67—42no—
611C22×C67—42no—
612C22×C67—42no—
613C22×C67—42no—
614C22×C67—42no—
615C22×C67—42no—
616C22×C67—42no—
617C22×C67—42no—
618C22×C67—42no—
619C22×C67—42no—
620C22×C67—42no—
621C22×C67—42no—
622C22×C67—42no—
623C22×C67—42no—
624C22×C67—81no—
625C22×C67—81no—
626C22×C67—81no—
627C22×C67—81no—
628C22×C67—81no—
629C22×C67—81no—
630C22×C67—81no—
631C22×C67—81no—
632C22×C67#38618yescomplemented
633C22×C67C22×C22⋊C411yescharacteristic
634C22×C67C2×C4×D411yescharacteristic
635C22×C67C2×C4×D411yescharacteristic
636C22×C67C2×C4×D411yescharacteristic
637C22×C67C4×#4111yescharacteristic
638C22×C67#51811yescharacteristic
639C22×C67#52011yescharacteristic
640C22×C67C2×#12011yescharacteristic
641C22×C67C2×#12111yescharacteristic
642C22×C67C2×#12111yescharacteristic
643C22×C67C2×#12111yescharacteristic
644C22×C67C2×#12311yescharacteristic
645C22×C67#52511yescharacteristic
646C22×C67#52911yescharacteristic
647C22×C67#53211yescharacteristic
648C22×C67#53411yescharacteristic
649C22×C67#53711yescharacteristic
650C22×C67#53811yescharacteristic
651C22×C67#53911yescharacteristic
652C22×C67D4211yescharacteristic
653C22×C67D4211yescharacteristic
654C22×C67D4211yescharacteristic
655C22×C67#54611yescharacteristic
656C22×C67#54611yescharacteristic
657C22×C67#54611yescharacteristic
658C22×C67#54611yescharacteristic
659C22×C67#54611yescharacteristic
660C22×C67#54611yescharacteristic
661C22×C67#54711yescharacteristic
662C22×C67#54711yescharacteristic
663C22×C67#54711yescharacteristic
664C22×C67#54811yescharacteristic
665C22×C67#55311yescharacteristic
666C22×C67#55311yescharacteristic
667C22×C67#55311yescharacteristic
668C4×C67—24no—
669C4×C67—24no—
670C4×C67—24no—
671C4×C67—42no—
672C4×C67—42no—
673C4×C67—42no—
674C4×C67—42no—
675C4×C67—42no—
676C4×C67—42no—
677C4×C67—42no—
678C4×C67—81no—
679C4×C67—81no—
680#14023C6711yesmaximal, characteristic, direct product factor, Sylow
681C2×C67—28no—
682C2×C67—44no—
683C2×C67—82no—
684C2×C67C2×#38611yescharacteristic
685C2×C67C4×#12111yescharacteristic
686C2×C67#232511yescharacteristic
687C2×C67D4×C22⋊C411yescharacteristic
688C2×C67#233911yescharacteristic
689C2×C67#236111yescharacteristic
690C2×C67#236411yescharacteristic
691C2×C67#241011yescharacteristic
692C2×C67#241611yescharacteristic
693C2×C67#242411yescharacteristic
694C2×C67#242511yescharacteristic
695C2×C67#243011yescharacteristic
696C2×C67#244311yescharacteristic
697C2×C67#244411yescharacteristic
698C2×C67#254311yescharacteristic
699C22×#121C2×C6711yescharacteristic
700C22×C4×D4C2×C6711yescharacteristic, complemented
701C2×#386C2×C6711yescharacteristic, complemented
702C2×#386C2×C6711yescharacteristic, complemented
703C2×#386C2×C6711yescharacteristic, complemented
704C2×#386C2×C6711yescharacteristic, complemented
705C22×#95C2×C6711yescharacteristic, complemented
706#1441C2×C6711yescharacteristic, complemented
707#1440C2×C6711yescharacteristic, complemented
708#1439C2×C6711yescharacteristic, complemented
709#1438C2×C6711yescharacteristic, complemented
710#1437C2×C6711yescharacteristic, complemented
711#1436C2×C6711yescharacteristic, complemented
712C22⋊#95C2×C6711yescharacteristic, complemented
713C22⋊#95C2×C6711yescharacteristic, complemented
714C67#1402311yescharacteristic, direct product factor, Sylow
715C23×D4C22×C6711yescharacteristic
716C23×D4C22×C6711yescharacteristic
717C23×D4C22×C6711yescharacteristic
718C24×C4C22×C6711yescharacteristic
719C24×C4C22×C6711yescharacteristic
720C24×C4C22×C6711yescharacteristic
721C24×C4C22×C6711yescharacteristic
722C2×#121—24no—
723C2×#121—24no—
724C2×#121C4×C6718yescomplemented
725C2×C4×D4—24no—
726C2×C4×D4—24no—
727C2×C4×D4—24no—
728C22×C4⋊C4C22×C6711yescharacteristic
729C22×C4⋊C4C22×C6711yescharacteristic
730C22×C22⋊C4C22×C6711yescharacteristic
731C22×C22⋊C4C22×C6711yescharacteristic
732C22×C22⋊C4C22×C6711yescharacteristic
733C22×C22⋊C4C22×C6711yescharacteristic
734C22×C22⋊C4C22×C6711yescharacteristic
735C22×C22⋊C4C22×C6711yescharacteristic
736C22×C22⋊C4C22×C6711yescharacteristic
737C22×C22⋊C4C22×C6711yescharacteristic
738C22×C22⋊C4C22×C6711yescharacteristic
739C22×C22⋊C4C22×C6711yescharacteristic
740C22×C22⋊C4C22×C6711yescharacteristic
741C22×C42C22×C6711yescharacteristic
742#386—24no—
743#386—24no—
744#386—24no—
745#386—24no—
746C2×#95—24no—
747C2×#95C22×C6711yescharacteristic
748C2×#95C22×C6711yescharacteristic
749C2×#95C22×C6711yescharacteristic
750C2×#95C22×C6711yescharacteristic
751C2×#95C22×C6711yescharacteristic
752C2×#95C22×C6711yescharacteristic
753C2×#95C22×C6711yescharacteristic
754C2×#95C22×C6711yescharacteristic
755C2×#95C22×C6711yescharacteristic
756C2×#95C22×C6711yescharacteristic
757C2×#95C22×C6711yescharacteristic
758C2×#95C22×C6711yescharacteristic
759C2×#95C22×C6711yescharacteristic
760C2×#95C22×C6711yescharacteristic
761C25C23×C6711yescharacteristic
762C25C23×C6711yescharacteristic
763C25C23×C6711yescharacteristic
764C22×D4—22no—
765C22×D4—22no—
766C22×D4—22no—
767C22×D4—22no—
768C22×D4—22no—
769C22×D4—22no—
770C22×D4—22no—
771C22×D4—22no—
772C22×D4—22no—
773C22×D4—22no—
774C22×D4—22no—
775C22×D4—22no—
776C22×D4—22no—
777C22×D4—22no—
778C22×D4—41no—
779C22×D4—41no—
780C22×D4C2×C4×C6714yes—
781C22×D4C2×C4×C6714yescomplemented
782C22×D4C2×C4×C6714yescomplemented
783C22×D4D4×C6714yes—
784C22×D4D4×C6714yes—
785C23×C4—22no—
786C23×C4—22no—
787C23×C4—22no—
788C23×C4—22no—
789C23×C4—22no—
790C23×C4—22no—
791C23×C4—22no—
792C23×C4—22no—
793C23×C4—22no—
794C23×C4—22no—
795C23×C4—22no—
796C23×C4—22no—
797C23×C4—22no—
798C23×C4—22no—
799C23×C4—22no—
800C23×C4—22no—
801C23×C4—22no—
802C23×C4—22no—
803C23×C4—41no—
804C23×C4—41no—
805C23×C4—41no—
806C23×C4—41no—
807C23×C4—41no—
808C23×C4—41no—
809C23×C4—41no—
810C23×C4—41no—
811C23×C4C2×C4×C6714yescomplemented
812C23×C4D4×C6714yescomplemented
813C23×C4C23×C6711yescharacteristic
814C23×C4C23×C6711yescharacteristic
815C23×C4C23×C6711yescharacteristic
816C23×C4C23×C6711yescharacteristic
817C23×C4C23×C6711yescharacteristic
818C23×C4C23×C6711yescharacteristic
819C23×C4C23×C6711yescharacteristic
820C23×C4C23×C6711yescharacteristic
821C23×C4C23×C6711yescharacteristic
822C23×C4C23×C6711yescharacteristic
823C23×C4C23×C6711yescharacteristic
824C23×C4C23×C6711yescharacteristic
825#121—232no—
826C4×D4—232no—
827C2×C4⋊C4—22no—
828C2×C4⋊C4—22no—
829C2×C4⋊C4—22no—
830C2×C4⋊C4—22no—
831C2×C4⋊C4—22no—
832C2×C4⋊C4C2×C4×C6714yescomplemented
833C2×C22⋊C4—22no—
834C2×C22⋊C4—22no—
835C2×C22⋊C4—22no—
836C2×C22⋊C4—22no—
837C2×C22⋊C4—22no—
838C2×C22⋊C4—22no—
839C2×C22⋊C4—22no—
840C2×C22⋊C4—22no—
841C2×C22⋊C4—22no—
842C2×C22⋊C4—22no—
843C2×C22⋊C4—22no—
844C2×C22⋊C4—22no—
845C2×C22⋊C4—22no—
846C2×C22⋊C4—22no—
847C2×C22⋊C4—22no—
848C2×C22⋊C4—22no—
849C2×C22⋊C4—22no—
850C2×C22⋊C4—22no—
851C2×C22⋊C4—22no—
852C2×C22⋊C4—22no—
853C2×C22⋊C4—22no—
854C2×C22⋊C4—22no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—41no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4—41no—
863C2×C22⋊C4C2×C4×C6714yescomplemented
864C2×C22⋊C4C2×C4×C6714yescomplemented
865C2×C22⋊C4D4×C6714yescomplemented
866C2×C42—22no—
867C2×C42—22no—
868C2×C42—22no—
869#95—22no—
870#95—22no—
871#95—22no—
872#95—22no—
873#95—22no—
874#95—22no—
875#95—22no—
876#95—22no—
877#95—22no—
878#95—22no—
879#95—22no—
880#95—41no—
881#95—41no—
882#95D4×C6714yescomplemented
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—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24C22×C4×C6712yes—
918C24C22×C4×C6712yes—
919C24C22×C4×C6712yes—
920C24C2×D4×C6712yes—
921C24C2×D4×C6712yes—
922C24C2×D4×C6712yes—
923C24C2×D4×C6712yes—
924C24C2×D4×C6712yes—
925C24C2×D4×C6712yes—
926C24#41×C6712yes—
927C24#41×C6712yes—
928C24C24×C6711yescharacteristic
929C2×D4—28no—
930C2×D4—28no—
931C2×D4—28no—
932C2×D4—28no—
933C2×D4—28no—
934C2×D4—28no—
935C2×D4—28no—
936C2×D4—28no—
937C2×D4—28no—
938C2×D4—28no—
939C2×D4—28no—
940C2×D4—44no—
941C2×D4—44no—
942C2×D4—44no—
943C2×D4—44no—
944C2×D4—44no—
945C2×D4—44no—
946C2×D4—44no—
947C2×D4—44no—
948C2×D4—44no—
949C2×D4C22⋊C4×C67116yescomplemented
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—28no—
963C22×C4—28no—
964C22×C4—28no—
965C22×C4—28no—
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—21no—
990C22×C4—21no—
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—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—28no—
1009C22×C4—28no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—44no—
1025C22×C4—44no—
1026C22×C4—44no—
1027C22×C4—44no—
1028C22×C4—44no—
1029C22×C4—44no—
1030C22×C4—44no—
1031C22×C4—44no—
1032C22×C4—44no—
1033C22×C4—44no—
1034C22×C4—44no—
1035C22×C4—44no—
1036C22×C4—44no—
1037C22×C4—44no—
1038C22×C4—44no—
1039C22×C4—44no—
1040C22×C4—44no—
1041C22×C4—44no—
1042C22×C4—44no—
1043C22×C4—44no—
1044C22×C4—44no—
1045C22×C4—44no—
1046C22×C4C22×C4×C6712yes—
1047C22×C4C22×C4×C6712yes—
1048C22×C4C22×C4×C6712yes—
1049C22×C4C22×C4×C6712yes—
1050C22×C4C2×D4×C6712yes—
1051C22×C4C2×D4×C6712yes—
1052C22×C4C2×D4×C6712yes—
1053C22×C4C2×D4×C6712yes—
1054C22×C4C2×D4×C6712yes—
1055C22×C4C2×D4×C6712yes—
1056C22×C4C2×D4×C6712yes—
1057C22×C4C2×D4×C6712yes—
1058C22×C4C2×D4×C6712yes—
1059C22×C4#41×C6712yes—
1060C22×C4#41×C6712yes—
1061C22×C4#41×C6712yes—
1062C4⋊C4—28no—
1063C4⋊C4—28no—
1064C22⋊C4—28no—
1065C22⋊C4—28no—
1066C22⋊C4—28no—
1067C22⋊C4—28no—
1068C22⋊C4—44no—
1069C22⋊C4—44no—
1070C22⋊C4—44no—
1071C22⋊C4—44no—
1072C22⋊C4—44no—
1073C22⋊C4—44no—
1074C22⋊C4—44no—
1075C42—28no—
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—22no—
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—
1172C23—41no—
1173C23C2×C22⋊C4×C6714yes—
1174C23C2×C22⋊C4×C6714yes—
1175C23C4×D4×C6714yes—
1176C23C4×D4×C6714yes—
1177C23#120×C6714yes—
1178C23#121×C6714yes—
1179C23#121×C6714yes—
1180C23#123×C6714yes—
1181C23C23×C4×C6711yescharacteristic
1182C23C22×D4×C6711yescharacteristic
1183C23C22×D4×C6711yescharacteristic
1184C23C22×D4×C6711yescharacteristic
1185C23C22×D4×C6711yescharacteristic
1186C23C22×D4×C6711yescharacteristic
1187C23C2×#41×C6711yescharacteristic
1188C23C2×#41×C6711yescharacteristic
1189C23C2×#41×C6711yescharacteristic
1190C23C2×#41×C6711yescharacteristic
1191C23C2×#41×C6711yescharacteristic
1192C23H(5,𝔽2)×C6711yescharacteristic
1193C23H(5,𝔽2)×C6711yescharacteristic
1194C23H(5,𝔽2)×C6711yescharacteristic
1195C232−1+4×C6711yescharacteristic
1196D4—232no—
1197D4—416no—
1198D4—416no—
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—22no—
1238C2×C4—416no—
1239C2×C4—416no—
1240C2×C4—416no—
1241C2×C4—416no—
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×C4—41no—
1284C2×C4C2×C22⋊C4×C6714yes—
1285C2×C4C4×D4×C6714yescomplemented
1286C2×C4#121×C6714yescomplemented
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—
1331C22#386×C6718yescomplemented
1332C22C22×C22⋊C4×C6711yescharacteristic
1333C22C2×C4×D4×C6711yescharacteristic
1334C22C2×C4×D4×C6711yescharacteristic
1335C22C2×C4×D4×C6711yescharacteristic
1336C22C4×#41×C6711yescharacteristic
1337C22#518×C6711yescharacteristic
1338C22#520×C6711yescharacteristic
1339C22C2×#120×C6711yescharacteristic
1340C22C2×#121×C6711yescharacteristic
1341C22C2×#121×C6711yescharacteristic
1342C22C2×#121×C6711yescharacteristic
1343C22C2×#123×C6711yescharacteristic
1344C22#525×C6711yescharacteristic
1345C22#529×C6711yescharacteristic
1346C22#532×C6711yescharacteristic
1347C22#534×C6711yescharacteristic
1348C22#537×C6711yescharacteristic
1349C22#538×C6711yescharacteristic
1350C22#539×C6711yescharacteristic
1351C22D42×C6711yescharacteristic
1352C22D42×C6711yescharacteristic
1353C22D42×C6711yescharacteristic
1354C22#546×C6711yescharacteristic
1355C22#546×C6711yescharacteristic
1356C22#546×C6711yescharacteristic
1357C22#546×C6711yescharacteristic
1358C22#546×C6711yescharacteristic
1359C22#546×C6711yescharacteristic
1360C22#547×C6711yescharacteristic
1361C22#547×C6711yescharacteristic
1362C22#547×C6711yescharacteristic
1363C22#548×C6711yescharacteristic
1364C22#553×C6711yescharacteristic
1365C22#553×C6711yescharacteristic
1366C22#553×C6711yescharacteristic
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×#386×C6711yescharacteristic
1383C2C4×#121×C6711yescharacteristic
1384C2C67×#232511yescharacteristic
1385C2D4×C22⋊C4×C6711yescharacteristic
1386C2C67×#233911yescharacteristic
1387C2C67×#236111yescharacteristic
1388C2C67×#236411yescharacteristic
1389C2C67×#241011yescharacteristic
1390C2C67×#241611yescharacteristic
1391C2C67×#242411yescharacteristic
1392C2C67×#242511yescharacteristic
1393C2C67×#243011yescharacteristic
1394C2C67×#244311yescharacteristic
1395C2C67×#244411yescharacteristic
1396C2C67×#254311yescharacteristic
subgroupG/H
center, socleC24×C67C24
commutatorC23C23×C4×C67
Frattini, cosocleC24C24×C67
prime radicalC22×#121×C67C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C67 ◁ G

Complements

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

NH ≅ G/Ntype
2. C22×C4×D4×C67C2semidirect
3. C2×#386×C67C2semidirect
4. C2×#386×C67C2semidirect
5. C2×#386×C67C2semidirect
6. C2×#386×C67C2semidirect
7. C22×#95×C67C2semidirect
8. C67×#1441C2semidirect
9. C67×#1440C2semidirect
10. C67×#1439C2semidirect
11. C67×#1438C2semidirect
12. C67×#1437C2semidirect
13. C67×#1436C2semidirect
14. C67×C22⋊#95C2semidirect
15. C67×C22⋊#95C2semidirect
25. C2×#121×C67C4semidirect
82. C22×D4×C67C2×C4semidirect
83. C22×D4×C67C2×C4semidirect
112. C23×C4×C67C2×C4semidirect
113. C23×C4×C67D4semidirect
133. C2×C4⋊C4×C67C2×C4semidirect
164. C2×C22⋊C4×C67C2×C4semidirect
165. C2×C22⋊C4×C67C2×C4semidirect
166. C2×C22⋊C4×C67D4semidirect
183. #95×C67D4semidirect
250. C2×D4×C67C22⋊C4semidirect
586. C2×C4×C67C4×D4semidirect
587. C2×C4×C67#121semidirect
632. C22×C67#386semidirect
680. #14023C67direct (N × H)
700. C22×C4×D4C2×C67semidirect
701. C2×#386C2×C67semidirect
702. C2×#386C2×C67semidirect
703. C2×#386C2×C67semidirect
704. C2×#386C2×C67semidirect
705. C22×#95C2×C67semidirect
706. #1441C2×C67semidirect
707. #1440C2×C67semidirect
708. #1439C2×C67semidirect
709. #1438C2×C67semidirect
710. #1437C2×C67semidirect
711. #1436C2×C67semidirect
712. C22⋊#95C2×C67semidirect
713. C22⋊#95C2×C67semidirect
714. C67#14023direct (N × H)
724. C2×#121C4×C67semidirect
781. C22×D4C2×C4×C67semidirect
782. C22×D4C2×C4×C67semidirect
811. C23×C4C2×C4×C67semidirect
812. C23×C4D4×C67semidirect
832. C2×C4⋊C4C2×C4×C67semidirect
863. C2×C22⋊C4C2×C4×C67semidirect
864. C2×C22⋊C4C2×C4×C67semidirect
865. C2×C22⋊C4D4×C67semidirect
882. #95D4×C67semidirect
949. C2×D4C22⋊C4×C67semidirect
1285. C2×C4C4×D4×C67semidirect
1286. C2×C4#121×C67semidirect
1331. C22#386×C67semidirect

Maximal subgroups

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

subgroupindex
C22×#121×C672
C22×C4×D4×C672
C2×#386×C672
C22×#95×C672
C67×#14412
C67×#14402
C67×#14392
C67×#14382
C67×#14372
C67×#14362
C67×C22⋊#952
#1402367