Finite Group Databasebeta

← C149×#16284 #49195233

Subgroups — C149×#16284 #49195233

Order 38144.

2594 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#394×C149C211yesmaximal, characteristic, complemented
2C2×#392×C149C211yesmaximal, characteristic, complemented
3C2×#392×C149C211yesmaximal, characteristic, complemented
4C2×#392×C149C211yesmaximal, characteristic, complemented
5C2×#392×C149C211yesmaximal, characteristic, complemented
6C2×#386×C149C211yesmaximal, characteristic, complemented
7C2×#386×C149C211yesmaximal, characteristic, complemented
8C2×#386×C149C211yesmaximal, characteristic, complemented
9#1443×C149C211yesmaximal, characteristic, complemented
10#1440×C149C211yesmaximal, characteristic, complemented
11#1440×C149C211yesmaximal, characteristic, complemented
12#1439×C149C211yesmaximal, characteristic, complemented
13#1439×C149C211yesmaximal, characteristic, complemented
14#1438×C149C211yesmaximal, characteristic, complemented
15#1438×C149C211yesmaximal, characteristic, complemented
16C23×D4×C149C2211yescharacteristic
17C23×D4×C149C2211yescharacteristic
18C23×D4×C149C2211yescharacteristic
19C23×D4×C149C2211yescharacteristic
20C23×D4×C149C2211yescharacteristic
21C23×D4×C149C2211yescharacteristic
22C24×C4×C149C2211yescharacteristic
23C22×C4⋊C4×C149C2211yescharacteristic
24C22×C22⋊C4×C149C2211yescharacteristic
25C22×C22⋊C4×C149C2211yescharacteristic
26C22×C22⋊C4×C149C2211yescharacteristic
27C22×C22⋊C4×C149C2211yescharacteristic
28C22×C22⋊C4×C149C2211yescharacteristic
29C22×C22⋊C4×C149C2211yescharacteristic
30C22×C22⋊C4×C149C2211yescharacteristic
31C22×C22⋊C4×C149C2211yescharacteristic
32C22×C22⋊C4×C149C2211yescharacteristic
33C22×C22⋊C4×C149C2211yescharacteristic
34C22×C22⋊C4×C149C2211yescharacteristic
35C22×C22⋊C4×C149C2211yescharacteristic
36C22×C22⋊C4×C149C2211yescharacteristic
37C22×C22⋊C4×C149C2211yescharacteristic
38C22×C22⋊C4×C149C2211yescharacteristic
39#394×C149—24no—
40#392×C149—24no—
41#392×C149—24no—
42#392×C149—24no—
43#392×C149—24no—
44#386×C149—24no—
45#386×C149—24no—
46#386×C149—24no—
47C2×#95×C149C2211yescharacteristic
48C2×#95×C149C2211yescharacteristic
49C2×#95×C149C2211yescharacteristic
50C2×#95×C149C2211yescharacteristic
51C2×#95×C149C2211yescharacteristic
52C2×#95×C149C2211yescharacteristic
53C2×#95×C149C2211yescharacteristic
54C2×#95×C149C2211yescharacteristic
55C2×#95×C149C2211yescharacteristic
56C2×#95×C149C2211yescharacteristic
57C2×#95×C149C2211yescharacteristic
58C2×#95×C149C2211yescharacteristic
59C25×C149C2311yescharacteristic
60C25×C149C2311yescharacteristic
61C25×C149C2311yescharacteristic
62C25×C149C2311yescharacteristic
63C22×D4×C149—22no—
64C22×D4×C149—22no—
65C22×D4×C149—22no—
66C22×D4×C149—22no—
67C22×D4×C149—22no—
68C22×D4×C149—22no—
69C22×D4×C149—22no—
70C22×D4×C149—22no—
71C22×D4×C149—22no—
72C22×D4×C149—22no—
73C22×D4×C149—22no—
74C22×D4×C149—22no—
75C22×D4×C149—22no—
76C22×D4×C149—22no—
77C22×D4×C149—22no—
78C22×D4×C149—22no—
79C22×D4×C149—22no—
80C22×D4×C149—22no—
81C22×D4×C149—22no—
82C22×D4×C149—22no—
83C22×D4×C149—22no—
84C22×D4×C149—41no—
85C22×D4×C149—41no—
86C22×D4×C149—41no—
87C22×D4×C149—41no—
88C22×D4×C149—41no—
89C22×D4×C149—41no—
90C22×D4×C149—41no—
91C22×D4×C149—41no—
92C22×D4×C149—41no—
93C22×D4×C149—41no—
94C22×D4×C149—41no—
95C22×D4×C149—41no—
96C22×D4×C149—41no—
97C22×D4×C149—41no—
98C22×D4×C149—41no—
99C22×D4×C149—41no—
100C22×D4×C149—41no—
101C22×D4×C149—41no—
102C22×D4×C149—41no—
103C22×D4×C149—41no—
104C22×D4×C149D414yescomplemented
105C23×C4×C149—22no—
106C23×C4×C149—22no—
107C23×C4×C149—22no—
108C23×C4×C149—41no—
109C23×C4×C149—41no—
110C23×C4×C149—41no—
111C23×C4×C149—41no—
112C23×C4×C149C2311yescharacteristic
113C23×C4×C149C2311yescharacteristic
114C23×C4×C149C2311yescharacteristic
115C23×C4×C149C2311yescharacteristic
116C23×C4×C149C2311yescharacteristic
117C23×C4×C149C2311yescharacteristic
118C23×C4×C149C2311yescharacteristic
119C23×C4×C149C2311yescharacteristic
120C23×C4×C149C2311yescharacteristic
121C23×C4×C149C2311yescharacteristic
122C23×C4×C149C2311yescharacteristic
123C2×C4⋊C4×C149—22no—
124C2×C4⋊C4×C149—41no—
125C2×C4⋊C4×C149—41no—
126C2×C22⋊C4×C149—22no—
127C2×C22⋊C4×C149—22no—
128C2×C22⋊C4×C149—22no—
129C2×C22⋊C4×C149—22no—
130C2×C22⋊C4×C149—22no—
131C2×C22⋊C4×C149—22no—
132C2×C22⋊C4×C149—22no—
133C2×C22⋊C4×C149—22no—
134C2×C22⋊C4×C149—22no—
135C2×C22⋊C4×C149—22no—
136C2×C22⋊C4×C149—22no—
137C2×C22⋊C4×C149—22no—
138C2×C22⋊C4×C149—22no—
139C2×C22⋊C4×C149—22no—
140C2×C22⋊C4×C149—22no—
141C2×C22⋊C4×C149—22no—
142C2×C22⋊C4×C149—22no—
143C2×C22⋊C4×C149—22no—
144C2×C22⋊C4×C149—22no—
145C2×C22⋊C4×C149—22no—
146C2×C22⋊C4×C149—22no—
147C2×C22⋊C4×C149—22no—
148C2×C22⋊C4×C149—22no—
149C2×C22⋊C4×C149—41no—
150C2×C22⋊C4×C149—41no—
151C2×C22⋊C4×C149—41no—
152C2×C22⋊C4×C149—41no—
153C2×C22⋊C4×C149—41no—
154C2×C22⋊C4×C149—41no—
155C2×C22⋊C4×C149—41no—
156C2×C22⋊C4×C149—41no—
157C2×C22⋊C4×C149—41no—
158C2×C22⋊C4×C149—41no—
159C2×C22⋊C4×C149—41no—
160C2×C22⋊C4×C149—41no—
161C2×C22⋊C4×C149—41no—
162C2×C22⋊C4×C149—41no—
163C2×C22⋊C4×C149—41no—
164C2×C22⋊C4×C149—41no—
165C2×C22⋊C4×C149—41no—
166C2×C22⋊C4×C149—41no—
167C2×C22⋊C4×C149—41no—
168C2×C22⋊C4×C149—41no—
169C2×C22⋊C4×C149D414yescomplemented
170C2×C22⋊C4×C149D414yescomplemented
171#95×C149—22no—
172#95×C149—22no—
173#95×C149—22no—
174#95×C149—22no—
175#95×C149—22no—
176#95×C149—22no—
177#95×C149—22no—
178#95×C149—22no—
179#95×C149—22no—
180#95×C149—41no—
181#95×C149—41no—
182#95×C149D414yescomplemented
183C24×C149—21no—
184C24×C149—21no—
185C24×C149—21no—
186C24×C149—21no—
187C24×C149—21no—
188C24×C149—21no—
189C24×C149—21no—
190C24×C149—21no—
191C24×C149—21no—
192C24×C149—21no—
193C24×C149—21no—
194C24×C149—21no—
195C24×C149—21no—
196C24×C149—21no—
197C24×C149—21no—
198C24×C149—21no—
199C24×C149—21no—
200C24×C149—21no—
201C24×C149—21no—
202C24×C149—21no—
203C24×C149—21no—
204C24×C149—21no—
205C24×C149—21no—
206C24×C149—21no—
207C24×C149—21no—
208C24×C149—21no—
209C24×C149—21no—
210C24×C149—21no—
211C24×C149—21no—
212C24×C149—21no—
213C24×C149—21no—
214C24×C149—21no—
215C24×C149—21no—
216C24×C149—21no—
217C24×C149—21no—
218C24×C149—21no—
219C24×C149—21no—
220C24×C149—21no—
221C24×C149—21no—
222C24×C149—21no—
223C24×C149—21no—
224C24×C149—21no—
225C24×C149—21no—
226C24×C149—21no—
227C24×C149—21no—
228C24×C149—21no—
229C24×C149—21no—
230C24×C149—21no—
231C24×C149—21no—
232C24×C149—21no—
233C24×C149—21no—
234C24×C149—21no—
235C24×C149—21no—
236C24×C149—21no—
237C24×C149C2×D412yes—
238C24×C149C2×D412yes—
239C24×C149C2×D412yes—
240C24×C149C2×D412yes—
241C24×C149#4112yes—
242C24×C149#4112yes—
243C24×C149C2411yescharacteristic
244C2×D4×C149—28no—
245C2×D4×C149—28no—
246C2×D4×C149—28no—
247C2×D4×C149—44no—
248C2×D4×C149—44no—
249C2×D4×C149—44no—
250C2×D4×C149—44no—
251C2×D4×C149—44no—
252C2×D4×C149—44no—
253C2×D4×C149—44no—
254C2×D4×C149—44no—
255C2×D4×C149—44no—
256C2×D4×C149—44no—
257C2×D4×C149—44no—
258C2×D4×C149—44no—
259C2×D4×C149—44no—
260C2×D4×C149—44no—
261C2×D4×C149—44no—
262C2×D4×C149—44no—
263C2×D4×C149—44no—
264C2×D4×C149—44no—
265C2×D4×C149—44no—
266C2×D4×C149—44no—
267C2×D4×C149—44no—
268C2×D4×C149—44no—
269C2×D4×C149—44no—
270C2×D4×C149—44no—
271C2×D4×C149—44no—
272C2×D4×C149—44no—
273C2×D4×C149—44no—
274C2×D4×C149—44no—
275C2×D4×C149—44no—
276C2×D4×C149—44no—
277C2×D4×C149—44no—
278C2×D4×C149—44no—
279C2×D4×C149—44no—
280C2×D4×C149—44no—
281C2×D4×C149—44no—
282C2×D4×C149—44no—
283C2×D4×C149—44no—
284C2×D4×C149—44no—
285C2×D4×C149—44no—
286C22×C4×C149—21no—
287C22×C4×C149—21no—
288C22×C4×C149—21no—
289C22×C4×C149—21no—
290C22×C4×C149—21no—
291C22×C4×C149—21no—
292C22×C4×C149—21no—
293C22×C4×C149—21no—
294C22×C4×C149—21no—
295C22×C4×C149—21no—
296C22×C4×C149—21no—
297C22×C4×C149—21no—
298C22×C4×C149—21no—
299C22×C4×C149—21no—
300C22×C4×C149—21no—
301C22×C4×C149—21no—
302C22×C4×C149—21no—
303C22×C4×C149—21no—
304C22×C4×C149—21no—
305C22×C4×C149—21no—
306C22×C4×C149—21no—
307C22×C4×C149—21no—
308C22×C4×C149—21no—
309C22×C4×C149—21no—
310C22×C4×C149—21no—
311C22×C4×C149—21no—
312C22×C4×C149—21no—
313C22×C4×C149—21no—
314C22×C4×C149—21no—
315C22×C4×C149—21no—
316C22×C4×C149—21no—
317C22×C4×C149—21no—
318C22×C4×C149—21no—
319C22×C4×C149—21no—
320C22×C4×C149—21no—
321C22×C4×C149—21no—
322C22×C4×C149—21no—
323C22×C4×C149—21no—
324C22×C4×C149—21no—
325C22×C4×C149—21no—
326C22×C4×C149—21no—
327C22×C4×C149—21no—
328C22×C4×C149—21no—
329C22×C4×C149—21no—
330C22×C4×C149—21no—
331C22×C4×C149—21no—
332C22×C4×C149—21no—
333C22×C4×C149—21no—
334C22×C4×C149—21no—
335C22×C4×C149—21no—
336C22×C4×C149—21no—
337C22×C4×C149—21no—
338C22×C4×C149—21no—
339C22×C4×C149—21no—
340C22×C4×C149—21no—
341C22×C4×C149—21no—
342C22×C4×C149—21no—
343C22×C4×C149—21no—
344C22×C4×C149—21no—
345C22×C4×C149—21no—
346C22×C4×C149—21no—
347C22×C4×C149—21no—
348C22×C4×C149—21no—
349C22×C4×C149—21no—
350C22×C4×C149—21no—
351C22×C4×C149—21no—
352C22×C4×C149—21no—
353C22×C4×C149—21no—
354C22×C4×C149—44no—
355C22×C4×C149—44no—
356C22×C4×C149—44no—
357C22×C4×C149—44no—
358C22×C4×C149—44no—
359C22×C4×C149—44no—
360C22×C4×C149—44no—
361C22×C4×C149C2×D412yes—
362C22×C4×C149C2×D412yes—
363C22×C4×C149C2×D412yes—
364C22×C4×C149C2×D412yes—
365C22×C4×C149C2×D412yes—
366C22×C4×C149C2×D412yes—
367C22×C4×C149C2×D412yes—
368C22×C4×C149C2×D412yes—
369C22×C4×C149#4112yes—
370C4⋊C4×C149—44no—
371C22⋊C4×C149—44no—
372C22⋊C4×C149—44no—
373C22⋊C4×C149—44no—
374C22⋊C4×C149—44no—
375C22⋊C4×C149—44no—
376C22⋊C4×C149—44no—
377C22⋊C4×C149—44no—
378C22⋊C4×C149—44no—
379C22⋊C4×C149—44no—
380C22⋊C4×C149—44no—
381C22⋊C4×C149—44no—
382C22⋊C4×C149—44no—
383C22⋊C4×C149—44no—
384C22⋊C4×C149—44no—
385C22⋊C4×C149—44no—
386C23×C149—22no—
387C23×C149—22no—
388C23×C149—22no—
389C23×C149—22no—
390C23×C149—22no—
391C23×C149—22no—
392C23×C149—22no—
393C23×C149—22no—
394C23×C149—22no—
395C23×C149—22no—
396C23×C149—22no—
397C23×C149—22no—
398C23×C149—22no—
399C23×C149—22no—
400C23×C149—22no—
401C23×C149—22no—
402C23×C149—22no—
403C23×C149—22no—
404C23×C149—22no—
405C23×C149—22no—
406C23×C149—22no—
407C23×C149—22no—
408C23×C149—22no—
409C23×C149—22no—
410C23×C149—22no—
411C23×C149—22no—
412C23×C149—22no—
413C23×C149—22no—
414C23×C149—22no—
415C23×C149—22no—
416C23×C149—22no—
417C23×C149—22no—
418C23×C149—22no—
419C23×C149—22no—
420C23×C149—22no—
421C23×C149—22no—
422C23×C149—22no—
423C23×C149—22no—
424C23×C149—22no—
425C23×C149—41no—
426C23×C149—41no—
427C23×C149—41no—
428C23×C149—41no—
429C23×C149—41no—
430C23×C149—41no—
431C23×C149—41no—
432C23×C149—41no—
433C23×C149—41no—
434C23×C149—41no—
435C23×C149—41no—
436C23×C149—41no—
437C23×C149—41no—
438C23×C149—41no—
439C23×C149—41no—
440C23×C149—41no—
441C23×C149—41no—
442C23×C149—41no—
443C23×C149—41no—
444C23×C149—41no—
445C23×C149—41no—
446C23×C149—41no—
447C23×C149—41no—
448C23×C149—41no—
449C23×C149—41no—
450C23×C149—41no—
451C23×C149—41no—
452C23×C149—41no—
453C23×C149—41no—
454C23×C149—41no—
455C23×C149—41no—
456C23×C149—41no—
457C23×C149—41no—
458C23×C149—41no—
459C23×C149—41no—
460C23×C149—41no—
461C23×C149—41no—
462C23×C149—41no—
463C23×C149—41no—
464C23×C149—41no—
465C23×C149—41no—
466C23×C149—41no—
467C23×C149—41no—
468C23×C149—41no—
469C23×C149—41no—
470C23×C149—41no—
471C23×C149—41no—
472C23×C149—41no—
473C23×C149—41no—
474C23×C149—41no—
475C23×C149—41no—
476C23×C149—41no—
477C23×C149—41no—
478C23×C149—41no—
479C23×C149—41no—
480C23×C149—41no—
481C23×C149—41no—
482C23×C149—41no—
483C23×C149—41no—
484C23×C149—41no—
485C23×C149—41no—
486C23×C149—41no—
487C23×C149—41no—
488C23×C149—41no—
489C23×C149—41no—
490C23×C149—41no—
491C23×C149—41no—
492C23×C149—41no—
493C23×C149—41no—
494C23×C149—41no—
495C23×C149—41no—
496C23×C149—41no—
497C23×C149—41no—
498C23×C149—41no—
499C23×C149—41no—
500C23×C149—41no—
501C23×C149—41no—
502C23×C149—41no—
503C23×C149—41no—
504C23×C149—41no—
505C23×C149—41no—
506C23×C149—41no—
507C23×C149—41no—
508C23×C149—41no—
509C23×C149—41no—
510C23×C149—41no—
511C23×C149—41no—
512C23×C149—41no—
513C23×C149—41no—
514C23×C149—41no—
515C23×C149—41no—
516C23×C149—41no—
517C23×C149—41no—
518C23×C149—41no—
519C23×C149—41no—
520C23×C149—41no—
521C23×C149—41no—
522C23×C149—41no—
523C23×C149—41no—
524C23×C149—41no—
525C23×C149#12114yes—
526C23×C149C22×D411yescharacteristic
527C23×C149C22×D411yescharacteristic
528C23×C149C22×D411yescharacteristic
529C23×C149C22×D411yescharacteristic
530C23×C149C2×#4111yescharacteristic
531C23×C149C2×#4111yescharacteristic
532C23×C149C2×#4111yescharacteristic
533C23×C149H(5,𝔽2)11yescharacteristic
534C23×C149H(5,𝔽2)11yescharacteristic
535C23×C149H(5,𝔽2)11yescharacteristic
536C23×C149H(5,𝔽2)11yescharacteristic
537C23×C149H(5,𝔽2)11yescharacteristic
538C23×C149H(5,𝔽2)11yescharacteristic
539C23×C149H(5,𝔽2)11yescharacteristic
540C23×C149H(5,𝔽2)11yescharacteristic
541D4×C149—416no—
542D4×C149—416no—
543D4×C149—416no—
544D4×C149—416no—
545D4×C149—416no—
546D4×C149—416no—
547C2×C4×C149—22no—
548C2×C4×C149—22no—
549C2×C4×C149—22no—
550C2×C4×C149—22no—
551C2×C4×C149—22no—
552C2×C4×C149—22no—
553C2×C4×C149—22no—
554C2×C4×C149—22no—
555C2×C4×C149—22no—
556C2×C4×C149—22no—
557C2×C4×C149—22no—
558C2×C4×C149—22no—
559C2×C4×C149—22no—
560C2×C4×C149—22no—
561C2×C4×C149—22no—
562C2×C4×C149—22no—
563C2×C4×C149—22no—
564C2×C4×C149—22no—
565C2×C4×C149—22no—
566C2×C4×C149—22no—
567C2×C4×C149—22no—
568C2×C4×C149—22no—
569C2×C4×C149—22no—
570C2×C4×C149—22no—
571C2×C4×C149—22no—
572C2×C4×C149—22no—
573C2×C4×C149—22no—
574C2×C4×C149—416no—
575C2×C4×C149—41no—
576C2×C4×C149—41no—
577C2×C4×C149—41no—
578C2×C4×C149—41no—
579C2×C4×C149—41no—
580C2×C4×C149—41no—
581C2×C4×C149—41no—
582C2×C4×C149—41no—
583C2×C4×C149—41no—
584C2×C4×C149—41no—
585C2×C4×C149—41no—
586C2×C4×C149—41no—
587C2×C4×C149—41no—
588C2×C4×C149—41no—
589C2×C4×C149—41no—
590C2×C4×C149—41no—
591C2×C4×C149—41no—
592C2×C4×C149—41no—
593C2×C4×C149—41no—
594C2×C4×C149—41no—
595C2×C4×C149—41no—
596C2×C4×C149—41no—
597C2×C4×C149—41no—
598C2×C4×C149—41no—
599C2×C4×C149—41no—
600C2×C4×C149—41no—
601C2×C4×C149—41no—
602C2×C4×C149—41no—
603C2×C4×C149—41no—
604C2×C4×C149—41no—
605C2×C4×C149—41no—
606C2×C4×C149—41no—
607C2×C4×C149—41no—
608C2×C4×C149—41no—
609C2×C4×C149—41no—
610C2×C4×C149—41no—
611C2×C4×C149—41no—
612C2×C4×C149—41no—
613C2×C4×C149—41no—
614C2×C4×C149—41no—
615C2×C4×C149—41no—
616C2×C4×C149—41no—
617C2×C4×C149—41no—
618C2×C4×C149—41no—
619C2×C4×C149—41no—
620C2×C4×C149—41no—
621C2×C4×C149—41no—
622C2×C4×C149—41no—
623C2×C4×C149—41no—
624C2×C4×C149—41no—
625C22×C149—24no—
626C22×C149—24no—
627C22×C149—24no—
628C22×C149—42no—
629C22×C149—42no—
630C22×C149—42no—
631C22×C149—42no—
632C22×C149—42no—
633C22×C149—42no—
634C22×C149—42no—
635C22×C149—42no—
636C22×C149—42no—
637C22×C149—42no—
638C22×C149—42no—
639C22×C149—42no—
640C22×C149—42no—
641C22×C149—42no—
642C22×C149—42no—
643C22×C149—42no—
644C22×C149—42no—
645C22×C149—42no—
646C22×C149—42no—
647C22×C149—42no—
648C22×C149—42no—
649C22×C149—42no—
650C22×C149—42no—
651C22×C149—42no—
652C22×C149—42no—
653C22×C149—42no—
654C22×C149—42no—
655C22×C149—42no—
656C22×C149—42no—
657C22×C149—42no—
658C22×C149—42no—
659C22×C149—42no—
660C22×C149—42no—
661C22×C149—81no—
662C22×C149—81no—
663C22×C149—81no—
664C22×C149—81no—
665C22×C149—81no—
666C22×C149—81no—
667C22×C149—81no—
668C22×C149—81no—
669C22×C149—81no—
670C22×C149—81no—
671C22×C149—81no—
672C22×C149—81no—
673C22×C149—81no—
674C22×C149—81no—
675C22×C149—81no—
676C22×C149—81no—
677C22×C149—81no—
678C22×C149—81no—
679C22×C149—81no—
680C22×C149—81no—
681C22×C149—81no—
682C22×C149—81no—
683C22×C149—81no—
684C22×C149—81no—
685C22×C149C2×#12111yescharacteristic
686C22×C149#52511yescharacteristic
687C22×C149#52511yescharacteristic
688C22×C149#53411yescharacteristic
689C22×C149#53411yescharacteristic
690C22×C149#53411yescharacteristic
691C22×C149#53411yescharacteristic
692C22×C149#53511yescharacteristic
693C22×C149#53511yescharacteristic
694C22×C149#53511yescharacteristic
695C22×C149#53511yescharacteristic
696C22×C149#53811yescharacteristic
697C22×C149#53811yescharacteristic
698C22×C149#53811yescharacteristic
699C22×C149#53811yescharacteristic
700C22×C149#53811yescharacteristic
701C22×C149#53811yescharacteristic
702C22×C149#54011yescharacteristic
703C22×C149#54011yescharacteristic
704C22×C149D4211yescharacteristic
705C22×C149D4211yescharacteristic
706C22×C149D4211yescharacteristic
707C22×C149D4211yescharacteristic
708C22×C149D4211yescharacteristic
709C22×C149#54611yescharacteristic
710C22×C149#54611yescharacteristic
711C22×C149#54611yescharacteristic
712C22×C149#54611yescharacteristic
713C22×C149#54611yescharacteristic
714C22×C149#55011yescharacteristic
715C22×C149#55311yescharacteristic
716C22×C149#56011yescharacteristic
717C22×C149#56011yescharacteristic
718C22×C149#56011yescharacteristic
719C22×C149#56011yescharacteristic
720C4×C149—42no—
721C4×C149—42no—
722C4×C149—42no—
723C4×C149—42no—
724C4×C149—42no—
725C4×C149—42no—
726C4×C149—42no—
727C4×C149—42no—
728C4×C149—42no—
729C4×C149—81no—
730C4×C149—81no—
731C2×C149—44no—
732C2×C149—82no—
733C2×C149—82no—
734C2×C149—82no—
735C2×C149#242411yescharacteristic
736C2×C149#242411yescharacteristic
737C2×C149#245611yescharacteristic
738C2×C149#261711yescharacteristic
739C2×C149#263111yescharacteristic
740C2×C149#263511yescharacteristic
741C2×C149#266811yescharacteristic
742C2×C149#266911yescharacteristic
743C2×C149#266911yescharacteristic
744C2×C149#267311yescharacteristic
745C2×C149#267311yescharacteristic
746C2×C149#267811yescharacteristic
747C2×C149#268811yescharacteristic
748C2×C149#270311yescharacteristic
749C2×C149#282511yescharacteristic
750#16284C14911yesmaximal, characteristic, direct product factor, Sylow
751C149#1628411yescharacteristic, direct product factor, Sylow
752C2×#394C2×C14911yescharacteristic, complemented
753C2×#392C2×C14911yescharacteristic, complemented
754C2×#392C2×C14911yescharacteristic, complemented
755C2×#392C2×C14911yescharacteristic, complemented
756C2×#392C2×C14911yescharacteristic, complemented
757C2×#386C2×C14911yescharacteristic, complemented
758C2×#386C2×C14911yescharacteristic, complemented
759C2×#386C2×C14911yescharacteristic, complemented
760#1443C2×C14911yescharacteristic, complemented
761#1440C2×C14911yescharacteristic, complemented
762#1440C2×C14911yescharacteristic, complemented
763#1439C2×C14911yescharacteristic, complemented
764#1439C2×C14911yescharacteristic, complemented
765#1438C2×C14911yescharacteristic, complemented
766#1438C2×C14911yescharacteristic, complemented
767C23×D4C22×C14911yescharacteristic
768C23×D4C22×C14911yescharacteristic
769C23×D4C22×C14911yescharacteristic
770C23×D4C22×C14911yescharacteristic
771C23×D4C22×C14911yescharacteristic
772C23×D4C22×C14911yescharacteristic
773C24×C4C22×C14911yescharacteristic
774C22×C4⋊C4C22×C14911yescharacteristic
775C22×C22⋊C4C22×C14911yescharacteristic
776C22×C22⋊C4C22×C14911yescharacteristic
777C22×C22⋊C4C22×C14911yescharacteristic
778C22×C22⋊C4C22×C14911yescharacteristic
779C22×C22⋊C4C22×C14911yescharacteristic
780C22×C22⋊C4C22×C14911yescharacteristic
781C22×C22⋊C4C22×C14911yescharacteristic
782C22×C22⋊C4C22×C14911yescharacteristic
783C22×C22⋊C4C22×C14911yescharacteristic
784C22×C22⋊C4C22×C14911yescharacteristic
785C22×C22⋊C4C22×C14911yescharacteristic
786C22×C22⋊C4C22×C14911yescharacteristic
787C22×C22⋊C4C22×C14911yescharacteristic
788C22×C22⋊C4C22×C14911yescharacteristic
789C22×C22⋊C4C22×C14911yescharacteristic
790#394—24no—
791#392—24no—
792#392—24no—
793#392—24no—
794#392—24no—
795#386—24no—
796#386—24no—
797#386—24no—
798C2×#95C22×C14911yescharacteristic
799C2×#95C22×C14911yescharacteristic
800C2×#95C22×C14911yescharacteristic
801C2×#95C22×C14911yescharacteristic
802C2×#95C22×C14911yescharacteristic
803C2×#95C22×C14911yescharacteristic
804C2×#95C22×C14911yescharacteristic
805C2×#95C22×C14911yescharacteristic
806C2×#95C22×C14911yescharacteristic
807C2×#95C22×C14911yescharacteristic
808C2×#95C22×C14911yescharacteristic
809C2×#95C22×C14911yescharacteristic
810C25C23×C14911yescharacteristic
811C25C23×C14911yescharacteristic
812C25C23×C14911yescharacteristic
813C25C23×C14911yescharacteristic
814C22×D4—22no—
815C22×D4—22no—
816C22×D4—22no—
817C22×D4—22no—
818C22×D4—22no—
819C22×D4—22no—
820C22×D4—22no—
821C22×D4—22no—
822C22×D4—22no—
823C22×D4—22no—
824C22×D4—22no—
825C22×D4—22no—
826C22×D4—22no—
827C22×D4—22no—
828C22×D4—22no—
829C22×D4—22no—
830C22×D4—22no—
831C22×D4—22no—
832C22×D4—22no—
833C22×D4—22no—
834C22×D4—22no—
835C22×D4—41no—
836C22×D4—41no—
837C22×D4—41no—
838C22×D4—41no—
839C22×D4—41no—
840C22×D4—41no—
841C22×D4—41no—
842C22×D4—41no—
843C22×D4—41no—
844C22×D4—41no—
845C22×D4—41no—
846C22×D4—41no—
847C22×D4—41no—
848C22×D4—41no—
849C22×D4—41no—
850C22×D4—41no—
851C22×D4—41no—
852C22×D4—41no—
853C22×D4—41no—
854C22×D4—41no—
855C22×D4D4×C14914yescomplemented
856C23×C4—22no—
857C23×C4—22no—
858C23×C4—22no—
859C23×C4—41no—
860C23×C4—41no—
861C23×C4—41no—
862C23×C4—41no—
863C23×C4C23×C14911yescharacteristic
864C23×C4C23×C14911yescharacteristic
865C23×C4C23×C14911yescharacteristic
866C23×C4C23×C14911yescharacteristic
867C23×C4C23×C14911yescharacteristic
868C23×C4C23×C14911yescharacteristic
869C23×C4C23×C14911yescharacteristic
870C23×C4C23×C14911yescharacteristic
871C23×C4C23×C14911yescharacteristic
872C23×C4C23×C14911yescharacteristic
873C23×C4C23×C14911yescharacteristic
874C2×C4⋊C4—22no—
875C2×C4⋊C4—41no—
876C2×C4⋊C4—41no—
877C2×C22⋊C4—22no—
878C2×C22⋊C4—22no—
879C2×C22⋊C4—22no—
880C2×C22⋊C4—22no—
881C2×C22⋊C4—22no—
882C2×C22⋊C4—22no—
883C2×C22⋊C4—22no—
884C2×C22⋊C4—22no—
885C2×C22⋊C4—22no—
886C2×C22⋊C4—22no—
887C2×C22⋊C4—22no—
888C2×C22⋊C4—22no—
889C2×C22⋊C4—22no—
890C2×C22⋊C4—22no—
891C2×C22⋊C4—22no—
892C2×C22⋊C4—22no—
893C2×C22⋊C4—22no—
894C2×C22⋊C4—22no—
895C2×C22⋊C4—22no—
896C2×C22⋊C4—22no—
897C2×C22⋊C4—22no—
898C2×C22⋊C4—22no—
899C2×C22⋊C4—22no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4—41no—
914C2×C22⋊C4—41no—
915C2×C22⋊C4—41no—
916C2×C22⋊C4—41no—
917C2×C22⋊C4—41no—
918C2×C22⋊C4—41no—
919C2×C22⋊C4—41no—
920C2×C22⋊C4D4×C14914yescomplemented
921C2×C22⋊C4D4×C14914yescomplemented
922#95—22no—
923#95—22no—
924#95—22no—
925#95—22no—
926#95—22no—
927#95—22no—
928#95—22no—
929#95—22no—
930#95—22no—
931#95—41no—
932#95—41no—
933#95D4×C14914yescomplemented
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24C2×D4×C14912yes—
989C24C2×D4×C14912yes—
990C24C2×D4×C14912yes—
991C24C2×D4×C14912yes—
992C24#41×C14912yes—
993C24#41×C14912yes—
994C24C24×C14911yescharacteristic
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—28no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—44no—
1106C22×C4—44no—
1107C22×C4—44no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4C2×D4×C14912yes—
1113C22×C4C2×D4×C14912yes—
1114C22×C4C2×D4×C14912yes—
1115C22×C4C2×D4×C14912yes—
1116C22×C4C2×D4×C14912yes—
1117C22×C4C2×D4×C14912yes—
1118C22×C4C2×D4×C14912yes—
1119C22×C4C2×D4×C14912yes—
1120C22×C4#41×C14912yes—
1121C4⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—44no—
1125C22⋊C4—44no—
1126C22⋊C4—44no—
1127C22⋊C4—44no—
1128C22⋊C4—44no—
1129C22⋊C4—44no—
1130C22⋊C4—44no—
1131C22⋊C4—44no—
1132C22⋊C4—44no—
1133C22⋊C4—44no—
1134C22⋊C4—44no—
1135C22⋊C4—44no—
1136C22⋊C4—44no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—22no—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—22no—
1147C23—22no—
1148C23—22no—
1149C23—22no—
1150C23—22no—
1151C23—22no—
1152C23—22no—
1153C23—22no—
1154C23—22no—
1155C23—22no—
1156C23—22no—
1157C23—22no—
1158C23—22no—
1159C23—22no—
1160C23—22no—
1161C23—22no—
1162C23—22no—
1163C23—22no—
1164C23—22no—
1165C23—22no—
1166C23—22no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23—22no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—22no—
1175C23—22no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23#121×C14914yes—
1277C23C22×D4×C14911yescharacteristic
1278C23C22×D4×C14911yescharacteristic
1279C23C22×D4×C14911yescharacteristic
1280C23C22×D4×C14911yescharacteristic
1281C23C2×#41×C14911yescharacteristic
1282C23C2×#41×C14911yescharacteristic
1283C23C2×#41×C14911yescharacteristic
1284C23H(5,𝔽2)×C14911yescharacteristic
1285C23H(5,𝔽2)×C14911yescharacteristic
1286C23H(5,𝔽2)×C14911yescharacteristic
1287C23H(5,𝔽2)×C14911yescharacteristic
1288C23H(5,𝔽2)×C14911yescharacteristic
1289C23H(5,𝔽2)×C14911yescharacteristic
1290C23H(5,𝔽2)×C14911yescharacteristic
1291C23H(5,𝔽2)×C14911yescharacteristic
1292D4—416no—
1293D4—416no—
1294D4—416no—
1295D4—416no—
1296D4—416no—
1297D4—416no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—416no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C22—24no—
1377C22—24no—
1378C22—24no—
1379C22—42no—
1380C22—42no—
1381C22—42no—
1382C22—42no—
1383C22—42no—
1384C22—42no—
1385C22—42no—
1386C22—42no—
1387C22—42no—
1388C22—42no—
1389C22—42no—
1390C22—42no—
1391C22—42no—
1392C22—42no—
1393C22—42no—
1394C22—42no—
1395C22—42no—
1396C22—42no—
1397C22—42no—
1398C22—42no—
1399C22—42no—
1400C22—42no—
1401C22—42no—
1402C22—42no—
1403C22—42no—
1404C22—42no—
1405C22—42no—
1406C22—42no—
1407C22—42no—
1408C22—42no—
1409C22—42no—
1410C22—42no—
1411C22—42no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22C2×#121×C14911yescharacteristic
1437C22#525×C14911yescharacteristic
1438C22#525×C14911yescharacteristic
1439C22#534×C14911yescharacteristic
1440C22#534×C14911yescharacteristic
1441C22#534×C14911yescharacteristic
1442C22#534×C14911yescharacteristic
1443C22#535×C14911yescharacteristic
1444C22#535×C14911yescharacteristic
1445C22#535×C14911yescharacteristic
1446C22#535×C14911yescharacteristic
1447C22#538×C14911yescharacteristic
1448C22#538×C14911yescharacteristic
1449C22#538×C14911yescharacteristic
1450C22#538×C14911yescharacteristic
1451C22#538×C14911yescharacteristic
1452C22#538×C14911yescharacteristic
1453C22#540×C14911yescharacteristic
1454C22#540×C14911yescharacteristic
1455C22D42×C14911yescharacteristic
1456C22D42×C14911yescharacteristic
1457C22D42×C14911yescharacteristic
1458C22D42×C14911yescharacteristic
1459C22D42×C14911yescharacteristic
1460C22#546×C14911yescharacteristic
1461C22#546×C14911yescharacteristic
1462C22#546×C14911yescharacteristic
1463C22#546×C14911yescharacteristic
1464C22#546×C14911yescharacteristic
1465C22#550×C14911yescharacteristic
1466C22#553×C14911yescharacteristic
1467C22#560×C14911yescharacteristic
1468C22#560×C14911yescharacteristic
1469C22#560×C14911yescharacteristic
1470C22#560×C14911yescharacteristic
1471C4—42no—
1472C4—42no—
1473C4—42no—
1474C4—42no—
1475C4—42no—
1476C4—42no—
1477C4—42no—
1478C4—42no—
1479C4—42no—
1480C4—81no—
1481C4—81no—
1482C2—44no—
1483C2—82no—
1484C2—82no—
1485C2—82no—
1486C2#2424×C14911yescharacteristic
1487C2#2424×C14911yescharacteristic
1488C2#2456×C14911yescharacteristic
1489C2#2617×C14911yescharacteristic
1490C2#2631×C14911yescharacteristic
1491C2#2635×C14911yescharacteristic
1492C2#2668×C14911yescharacteristic
1493C2#2669×C14911yescharacteristic
1494C2#2669×C14911yescharacteristic
1495C2#2673×C14911yescharacteristic
1496C2#2673×C14911yescharacteristic
1497C2#2678×C14911yescharacteristic
1498C2#2688×C14911yescharacteristic
1499C2#2703×C14911yescharacteristic
1500C2#2825×C14911yescharacteristic
subgroupG/H
center, socleC24×C149C24
commutator, Frattini, cosocleC24C24×C149
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C149 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#394×C149C2semidirect
2. C2×#392×C149C2semidirect
3. C2×#392×C149C2semidirect
4. C2×#392×C149C2semidirect
5. C2×#392×C149C2semidirect
6. C2×#386×C149C2semidirect
7. C2×#386×C149C2semidirect
8. C2×#386×C149C2semidirect
9. #1443×C149C2semidirect
10. #1440×C149C2semidirect
11. #1440×C149C2semidirect
12. #1439×C149C2semidirect
13. #1439×C149C2semidirect
14. #1438×C149C2semidirect
15. #1438×C149C2semidirect
104. C22×D4×C149D4semidirect
169. C2×C22⋊C4×C149D4semidirect
170. C2×C22⋊C4×C149D4semidirect
182. #95×C149D4semidirect
750. #16284C149direct (N × H)
751. C149#16284direct (N × H)
752. C2×#394C2×C149semidirect
753. C2×#392C2×C149semidirect
754. C2×#392C2×C149semidirect
755. C2×#392C2×C149semidirect
756. C2×#392C2×C149semidirect
757. C2×#386C2×C149semidirect
758. C2×#386C2×C149semidirect
759. C2×#386C2×C149semidirect
760. #1443C2×C149semidirect
761. #1440C2×C149semidirect
762. #1440C2×C149semidirect
763. #1439C2×C149semidirect
764. #1439C2×C149semidirect
765. #1438C2×C149semidirect
766. #1438C2×C149semidirect
855. C22×D4D4×C149semidirect
920. C2×C22⋊C4D4×C149semidirect
921. C2×C22⋊C4D4×C149semidirect
933. #95D4×C149semidirect

Maximal subgroups

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

subgroupindex
C2×#394×C1492
C2×#392×C1492
C2×#386×C1492
#1443×C1492
#1440×C1492
#1439×C1492
#1438×C1492
#16284149