Finite Group Databasebeta

← C149×#16255 #49195204

Subgroups — C149×#16255 #49195204

Order 38144.

3370 conjugacy classes of subgroups.

The subgroup lattice has 1552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#120×C149C211yesmaximal, characteristic
2C2×#397×C149C211yesmaximal, characteristic, complemented
3C2×#394×C149C211yesmaximal, characteristic, complemented
4C2×#394×C149C211yesmaximal, characteristic, complemented
5C2×#379×C149C211yesmaximal, characteristic, complemented
6C2×#379×C149C211yesmaximal, characteristic, complemented
7#1440×C149C211yesmaximal, characteristic, complemented
8#1440×C149C211yesmaximal, characteristic, complemented
9#1439×C149C211yesmaximal, characteristic, complemented
10#1439×C149C211yesmaximal, characteristic, complemented
11#1439×C149C211yesmaximal, characteristic, complemented
12#1438×C149C211yesmaximal, characteristic, complemented
13#1438×C149C211yesmaximal, characteristic, complemented
14#1438×C149C211yesmaximal, characteristic, complemented
15#1438×C149C211yesmaximal, characteristic, complemented
16C26×C149C2211yescharacteristic
17C23×D4×C149C2211yescharacteristic
18C23×D4×C149C2211yescharacteristic
19C23×D4×C149C2211yescharacteristic
20C2×#120×C149—24no—
21C2×#120×C149—24no—
22C2×#120×C149—24no—
23C22×C4⋊C4×C149C2211yescharacteristic, complemented
24C22×C4⋊C4×C149C2211yescharacteristic, complemented
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
39C22×C22⋊C4×C149C2211yescharacteristic
40C22×C22⋊C4×C149C2211yescharacteristic, complemented
41C22×C22⋊C4×C149C2211yescharacteristic, complemented
42C22×C22⋊C4×C149C2211yescharacteristic, complemented
43C22×C22⋊C4×C149C2211yescharacteristic, complemented
44#397×C149—24no—
45#394×C149—24no—
46#394×C149—24no—
47#379×C149—24no—
48#379×C149—24no—
49C2×#95×C149C2211yescharacteristic, complemented
50C2×#95×C149C2211yescharacteristic, complemented
51C2×#95×C149C2211yescharacteristic, complemented
52C2×#95×C149C2211yescharacteristic, complemented
53C2×#95×C149C2211yescharacteristic, complemented
54C2×#95×C149C2211yescharacteristic, complemented
55C2×#95×C149C2211yescharacteristic, complemented
56C2×#95×C149C2211yescharacteristic, complemented
57C2×#95×C149C2211yescharacteristic, complemented
58C2×#95×C149C2211yescharacteristic, complemented
59C25×C149—22no—
60C25×C149—22no—
61C25×C149—22no—
62C25×C149—22no—
63C25×C149—22no—
64C25×C149—22no—
65C25×C149—41no—
66C25×C149—41no—
67C25×C149—41no—
68C25×C149—41no—
69C25×C149—41no—
70C25×C149—41no—
71C25×C149—41no—
72C25×C149—41no—
73C25×C149D414yes—
74C25×C149C2311yescharacteristic
75C25×C149C2311yescharacteristic
76C25×C149C2311yescharacteristic
77C25×C149C2311yescharacteristic
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—22no—
85C22×D4×C149—22no—
86C22×D4×C149—22no—
87C22×D4×C149—22no—
88C22×D4×C149—22no—
89C22×D4×C149—22no—
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×C149D414yes—
99C23×C4×C149C2311yescharacteristic
100C23×C4×C149C2311yescharacteristic
101C23×C4×C149C2311yescharacteristic
102C23×C4×C149C2311yescharacteristic
103C23×C4×C149C2311yescharacteristic
104C23×C4×C149C2311yescharacteristic
105C23×C4×C149C2311yescharacteristic
106C23×C4×C149C2311yescharacteristic
107C23×C4×C149C2311yescharacteristic
108C23×C4×C149C2311yescharacteristic
109C23×C4×C149C2311yescharacteristic
110#120×C149—232no—
111C2×C4⋊C4×C149—22no—
112C2×C4⋊C4×C149—22no—
113C2×C4⋊C4×C149—22no—
114C2×C4⋊C4×C149—41no—
115C2×C4⋊C4×C149—41no—
116C2×C4⋊C4×C149—41no—
117C2×C22⋊C4×C149—22no—
118C2×C22⋊C4×C149—22no—
119C2×C22⋊C4×C149—22no—
120C2×C22⋊C4×C149—22no—
121C2×C22⋊C4×C149—22no—
122C2×C22⋊C4×C149—22no—
123C2×C22⋊C4×C149—22no—
124C2×C22⋊C4×C149—22no—
125C2×C22⋊C4×C149—22no—
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—41no—
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×C149—41no—
170C2×C22⋊C4×C149—41no—
171C2×C22⋊C4×C149—41no—
172C2×C22⋊C4×C149D414yes—
173C2×C22⋊C4×C149D414yescomplemented
174#95×C149—22no—
175#95×C149—22no—
176#95×C149—22no—
177#95×C149—22no—
178#95×C149—22no—
179#95×C149—41no—
180#95×C149—41no—
181#95×C149—41no—
182#95×C149—41no—
183#95×C149—41no—
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—28no—
221C24×C149—28no—
222C24×C149—28no—
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×C149—44no—
238C24×C149—44no—
239C24×C149—44no—
240C24×C149—44no—
241C24×C149—44no—
242C24×C149—44no—
243C24×C149—44no—
244C24×C149—44no—
245C24×C149—44no—
246C24×C149—44no—
247C24×C149—44no—
248C24×C149—44no—
249C24×C149—44no—
250C24×C149—44no—
251C24×C149—44no—
252C24×C149—44no—
253C24×C149—44no—
254C24×C149—44no—
255C24×C149—44no—
256C24×C149—44no—
257C24×C149—44no—
258C24×C149—44no—
259C24×C149—44no—
260C24×C149—44no—
261C24×C149—44no—
262C24×C149—44no—
263C24×C149—44no—
264C24×C149—44no—
265C24×C149—44no—
266C24×C149—44no—
267C24×C149—44no—
268C24×C149—44no—
269C24×C149C2×D412yes—
270C24×C149C2×D412yes—
271C24×C149C2×D412yes—
272C24×C149C2×D412yes—
273C24×C149C2×D412yes—
274C24×C149C2×D412yes—
275C24×C149C2×D412yes—
276C24×C149#4112yes—
277C24×C149#4112yes—
278C24×C149#4112yes—
279C24×C149C2411yescharacteristic
280C2×D4×C149—28no—
281C2×D4×C149—28no—
282C2×D4×C149—28no—
283C2×D4×C149—44no—
284C2×D4×C149—44no—
285C2×D4×C149—44no—
286C2×D4×C149—44no—
287C2×D4×C149—44no—
288C2×D4×C149—44no—
289C2×D4×C149—44no—
290C2×D4×C149—44no—
291C2×D4×C149—44no—
292C2×D4×C149—44no—
293C2×D4×C149—44no—
294C2×D4×C149—44no—
295C2×D4×C149—44no—
296C2×D4×C149—44no—
297C2×D4×C149—44no—
298C2×D4×C149—44no—
299C2×D4×C149—44no—
300C2×D4×C149—44no—
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—21no—
355C22×C4×C149—21no—
356C22×C4×C149—21no—
357C22×C4×C149—21no—
358C22×C4×C149—21no—
359C22×C4×C149—21no—
360C22×C4×C149—21no—
361C22×C4×C149—21no—
362C22×C4×C149—21no—
363C22×C4×C149—21no—
364C22×C4×C149—21no—
365C22×C4×C149—21no—
366C22×C4×C149—21no—
367C22×C4×C149—21no—
368C22×C4×C149—21no—
369C22×C4×C149—21no—
370C22×C4×C149—21no—
371C22×C4×C149—21no—
372C22×C4×C149—21no—
373C22×C4×C149C2×D412yes—
374C22×C4×C149C2×D412yes—
375C22×C4×C149C2×D412yes—
376C22×C4×C149C2×D412yes—
377C22×C4×C149C2×D412yes—
378C4⋊C4×C149—44no—
379C4⋊C4×C149—44no—
380C22⋊C4×C149—28no—
381C22⋊C4×C149—28no—
382C22⋊C4×C149—28no—
383C22⋊C4×C149—44no—
384C22⋊C4×C149—44no—
385C22⋊C4×C149—44no—
386C22⋊C4×C149—44no—
387C22⋊C4×C149—44no—
388C22⋊C4×C149—44no—
389C22⋊C4×C149—44no—
390C22⋊C4×C149—44no—
391C22⋊C4×C149—44no—
392C22⋊C4×C149—44no—
393C22⋊C4×C149—44no—
394C22⋊C4×C149—44no—
395C22⋊C4×C149—44no—
396C22⋊C4×C149—44no—
397C22⋊C4×C149—44no—
398C22⋊C4×C149—44no—
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—22no—
426C23×C149—22no—
427C23×C149—22no—
428C23×C149—22no—
429C23×C149—22no—
430C23×C149—22no—
431C23×C149—22no—
432C23×C149—22no—
433C23×C149—22no—
434C23×C149—22no—
435C23×C149—22no—
436C23×C149—22no—
437C23×C149—22no—
438C23×C149—22no—
439C23×C149—22no—
440C23×C149—22no—
441C23×C149—22no—
442C23×C149—22no—
443C23×C149—22no—
444C23×C149—22no—
445C23×C149—22no—
446C23×C149—22no—
447C23×C149—22no—
448C23×C149—22no—
449C23×C149—22no—
450C23×C149—22no—
451C23×C149—22no—
452C23×C149—22no—
453C23×C149—22no—
454C23×C149—22no—
455C23×C149—22no—
456C23×C149—22no—
457C23×C149—22no—
458C23×C149—22no—
459C23×C149—22no—
460C23×C149—416no—
461C23×C149—416no—
462C23×C149—416no—
463C23×C149—416no—
464C23×C149—416no—
465C23×C149—416no—
466C23×C149—416no—
467C23×C149—416no—
468C23×C149—416no—
469C23×C149—416no—
470C23×C149—416no—
471C23×C149—416no—
472C23×C149—416no—
473C23×C149—416no—
474C23×C149—416no—
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—41no—
526C23×C149—41no—
527C23×C149—41no—
528C23×C149—41no—
529C23×C149—41no—
530C23×C149—41no—
531C23×C149—41no—
532C23×C149—41no—
533C23×C149—41no—
534C23×C149—41no—
535C23×C149—41no—
536C23×C149—41no—
537C23×C149—41no—
538C23×C149—41no—
539C23×C149—41no—
540C23×C149—41no—
541C23×C149—41no—
542C23×C149—41no—
543C23×C149—41no—
544C23×C149—41no—
545C23×C149—41no—
546C23×C149—41no—
547C23×C149—41no—
548C23×C149—41no—
549C23×C149—41no—
550C23×C149—41no—
551C23×C149#12014yes—
552C23×C149#12114yes—
553C23×C149#12314yes—
554C23×C149C22×D411yescharacteristic
555C23×C149C22×D411yescharacteristic
556C23×C149C22×D411yescharacteristic
557C23×C149C22×D411yescharacteristic
558C23×C149C2×#4111yescharacteristic
559C23×C149C2×#4111yescharacteristic
560C23×C149C2×#4111yescharacteristic
561C23×C149H(5,𝔽2)11yescharacteristic
562C23×C149H(5,𝔽2)11yescharacteristic
563C23×C149H(5,𝔽2)11yescharacteristic
564C23×C149H(5,𝔽2)11yescharacteristic
565C23×C149H(5,𝔽2)11yescharacteristic
566C23×C149H(5,𝔽2)11yescharacteristic
567C23×C149H(5,𝔽2)11yescharacteristic
568C23×C149H(5,𝔽2)11yescharacteristic
569D4×C149—416no—
570D4×C149—416no—
571D4×C149—416no—
572C2×C4×C149—22no—
573C2×C4×C149—22no—
574C2×C4×C149—22no—
575C2×C4×C149—22no—
576C2×C4×C149—22no—
577C2×C4×C149—22no—
578C2×C4×C149—22no—
579C2×C4×C149—22no—
580C2×C4×C149—22no—
581C2×C4×C149—22no—
582C2×C4×C149—22no—
583C2×C4×C149—22no—
584C2×C4×C149—22no—
585C2×C4×C149—22no—
586C2×C4×C149—22no—
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—
625C2×C4×C149—41no—
626C2×C4×C149—41no—
627C2×C4×C149—41no—
628C2×C4×C149—41no—
629C2×C4×C149—41no—
630C2×C4×C149—41no—
631C2×C4×C149—41no—
632C2×C4×C149—41no—
633C2×C4×C149—41no—
634C2×C4×C149—41no—
635C2×C4×C149—41no—
636C2×C4×C149—41no—
637C2×C4×C149—41no—
638C2×C4×C149—41no—
639C2×C4×C149—41no—
640C2×C4×C149—41no—
641C2×C4×C149—41no—
642C2×C4×C149—41no—
643C2×C4×C149—41no—
644C2×C4×C149—41no—
645C2×C4×C149—41no—
646C2×C4×C149—41no—
647C2×C4×C149—41no—
648C2×C4×C149—41no—
649C22×C149—24no—
650C22×C149—24no—
651C22×C149—24no—
652C22×C149—24no—
653C22×C149—24no—
654C22×C149—24no—
655C22×C149—24no—
656C22×C149—24no—
657C22×C149—24no—
658C22×C149—464no—
659C22×C149—42no—
660C22×C149—42no—
661C22×C149—42no—
662C22×C149—42no—
663C22×C149—42no—
664C22×C149—42no—
665C22×C149—42no—
666C22×C149—42no—
667C22×C149—42no—
668C22×C149—42no—
669C22×C149—42no—
670C22×C149—42no—
671C22×C149—42no—
672C22×C149—42no—
673C22×C149—42no—
674C22×C149—42no—
675C22×C149—42no—
676C22×C149—42no—
677C22×C149—42no—
678C22×C149—42no—
679C22×C149—42no—
680C22×C149—42no—
681C22×C149—42no—
682C22×C149—42no—
683C22×C149—42no—
684C22×C149—42no—
685C22×C149—42no—
686C22×C149—42no—
687C22×C149—42no—
688C22×C149—42no—
689C22×C149—42no—
690C22×C149—42no—
691C22×C149—42no—
692C22×C149—42no—
693C22×C149—42no—
694C22×C149—42no—
695C22×C149—42no—
696C22×C149—42no—
697C22×C149—42no—
698C22×C149—42no—
699C22×C149—42no—
700C22×C149—42no—
701C22×C149—42no—
702C22×C149—81no—
703C22×C149—81no—
704C22×C149—81no—
705C22×C149—81no—
706C22×C149—81no—
707C22×C149—81no—
708C22×C149—81no—
709C22×C149—81no—
710C22×C149C2×#12011yescharacteristic
711C22×C149C2×#12111yescharacteristic
712C22×C149C2×#12311yescharacteristic
713C22×C149#53411yescharacteristic
714C22×C149#53411yescharacteristic
715C22×C149#53411yescharacteristic
716C22×C149#53411yescharacteristic
717C22×C149#53411yescharacteristic
718C22×C149#53411yescharacteristic
719C22×C149#53411yescharacteristic
720C22×C149#53511yescharacteristic
721C22×C149#53511yescharacteristic
722C22×C149#53511yescharacteristic
723C22×C149#53811yescharacteristic
724C22×C149#53811yescharacteristic
725C22×C149#53811yescharacteristic
726C22×C149#53811yescharacteristic
727C22×C149#53811yescharacteristic
728C22×C149#53811yescharacteristic
729C22×C149D4211yescharacteristic
730C22×C149D4211yescharacteristic
731C22×C149#54611yescharacteristic
732C22×C149#54611yescharacteristic
733C22×C149#54611yescharacteristic
734C22×C149#54611yescharacteristic
735C22×C149#54611yescharacteristic
736C22×C149#54611yescharacteristic
737C22×C149#54611yescharacteristic
738C22×C149#54611yescharacteristic
739C22×C149#55111yescharacteristic
740C22×C149#55111yescharacteristic
741C22×C149#56011yescharacteristic
742C22×C149#56011yescharacteristic
743C22×C149#56011yescharacteristic
744C22×C149H(3,𝔽4)11yescharacteristic
745C4×C149—42no—
746C4×C149—42no—
747C4×C149—42no—
748C4×C149—42no—
749C4×C149—42no—
750C4×C149—81no—
751C4×C149—81no—
752C4×C149—81no—
753C4×C149—81no—
754C4×C149—81no—
755C4×C149—81no—
756C2×C149—44no—
757C2×C149—44no—
758C2×C149—44no—
759C2×C149—82no—
760C2×C149#240511yescharacteristic
761C2×C149#241011yescharacteristic
762C2×C149#241211yescharacteristic
763C2×C149#261311yescharacteristic
764C2×C149#261711yescharacteristic
765C2×C149#262211yescharacteristic
766C2×C149#266811yescharacteristic
767C2×C149#267011yescharacteristic
768C2×C149#267811yescharacteristic
769C2×C149#267811yescharacteristic
770C2×C149#268411yescharacteristic
771C2×C149#268511yescharacteristic
772C2×C149#268511yescharacteristic
773C2×C149#269711yescharacteristic
774C2×C149#281211yescharacteristic
775#16255C14911yesmaximal, characteristic, direct product factor, Sylow
776C149#1625511yescharacteristic, direct product factor, Sylow
777C22×#120C2×C14911yescharacteristic
778C2×#397C2×C14911yescharacteristic, complemented
779C2×#394C2×C14911yescharacteristic, complemented
780C2×#394C2×C14911yescharacteristic, complemented
781C2×#379C2×C14911yescharacteristic, complemented
782C2×#379C2×C14911yescharacteristic, complemented
783#1440C2×C14911yescharacteristic, complemented
784#1440C2×C14911yescharacteristic, complemented
785#1439C2×C14911yescharacteristic, complemented
786#1439C2×C14911yescharacteristic, complemented
787#1439C2×C14911yescharacteristic, complemented
788#1438C2×C14911yescharacteristic, complemented
789#1438C2×C14911yescharacteristic, complemented
790#1438C2×C14911yescharacteristic, complemented
791#1438C2×C14911yescharacteristic, complemented
792C26C22×C14911yescharacteristic
793C23×D4C22×C14911yescharacteristic
794C23×D4C22×C14911yescharacteristic
795C23×D4C22×C14911yescharacteristic
796C2×#120—24no—
797C2×#120—24no—
798C2×#120—24no—
799C22×C4⋊C4C22×C14911yescharacteristic, complemented
800C22×C4⋊C4C22×C14911yescharacteristic, complemented
801C22×C22⋊C4C22×C14911yescharacteristic
802C22×C22⋊C4C22×C14911yescharacteristic
803C22×C22⋊C4C22×C14911yescharacteristic
804C22×C22⋊C4C22×C14911yescharacteristic
805C22×C22⋊C4C22×C14911yescharacteristic
806C22×C22⋊C4C22×C14911yescharacteristic
807C22×C22⋊C4C22×C14911yescharacteristic
808C22×C22⋊C4C22×C14911yescharacteristic
809C22×C22⋊C4C22×C14911yescharacteristic
810C22×C22⋊C4C22×C14911yescharacteristic
811C22×C22⋊C4C22×C14911yescharacteristic
812C22×C22⋊C4C22×C14911yescharacteristic
813C22×C22⋊C4C22×C14911yescharacteristic
814C22×C22⋊C4C22×C14911yescharacteristic
815C22×C22⋊C4C22×C14911yescharacteristic
816C22×C22⋊C4C22×C14911yescharacteristic, complemented
817C22×C22⋊C4C22×C14911yescharacteristic, complemented
818C22×C22⋊C4C22×C14911yescharacteristic, complemented
819C22×C22⋊C4C22×C14911yescharacteristic, complemented
820#397—24no—
821#394—24no—
822#394—24no—
823#379—24no—
824#379—24no—
825C2×#95C22×C14911yescharacteristic, complemented
826C2×#95C22×C14911yescharacteristic, complemented
827C2×#95C22×C14911yescharacteristic, complemented
828C2×#95C22×C14911yescharacteristic, complemented
829C2×#95C22×C14911yescharacteristic, complemented
830C2×#95C22×C14911yescharacteristic, complemented
831C2×#95C22×C14911yescharacteristic, complemented
832C2×#95C22×C14911yescharacteristic, complemented
833C2×#95C22×C14911yescharacteristic, complemented
834C2×#95C22×C14911yescharacteristic, complemented
835C25—22no—
836C25—22no—
837C25—22no—
838C25—22no—
839C25—22no—
840C25—22no—
841C25—41no—
842C25—41no—
843C25—41no—
844C25—41no—
845C25—41no—
846C25—41no—
847C25—41no—
848C25—41no—
849C25D4×C14914yes—
850C25C23×C14911yescharacteristic
851C25C23×C14911yescharacteristic
852C25C23×C14911yescharacteristic
853C25C23×C14911yescharacteristic
854C22×D4—22no—
855C22×D4—22no—
856C22×D4—22no—
857C22×D4—22no—
858C22×D4—22no—
859C22×D4—22no—
860C22×D4—22no—
861C22×D4—22no—
862C22×D4—22no—
863C22×D4—22no—
864C22×D4—22no—
865C22×D4—22no—
866C22×D4—41no—
867C22×D4—41no—
868C22×D4—41no—
869C22×D4—41no—
870C22×D4—41no—
871C22×D4—41no—
872C22×D4—41no—
873C22×D4—41no—
874C22×D4D4×C14914yes—
875C23×C4C23×C14911yescharacteristic
876C23×C4C23×C14911yescharacteristic
877C23×C4C23×C14911yescharacteristic
878C23×C4C23×C14911yescharacteristic
879C23×C4C23×C14911yescharacteristic
880C23×C4C23×C14911yescharacteristic
881C23×C4C23×C14911yescharacteristic
882C23×C4C23×C14911yescharacteristic
883C23×C4C23×C14911yescharacteristic
884C23×C4C23×C14911yescharacteristic
885C23×C4C23×C14911yescharacteristic
886#120—232no—
887C2×C4⋊C4—22no—
888C2×C4⋊C4—22no—
889C2×C4⋊C4—22no—
890C2×C4⋊C4—41no—
891C2×C4⋊C4—41no—
892C2×C4⋊C4—41no—
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—22no—
901C2×C22⋊C4—22no—
902C2×C22⋊C4—22no—
903C2×C22⋊C4—22no—
904C2×C22⋊C4—22no—
905C2×C22⋊C4—22no—
906C2×C22⋊C4—22no—
907C2×C22⋊C4—22no—
908C2×C22⋊C4—22no—
909C2×C22⋊C4—22no—
910C2×C22⋊C4—22no—
911C2×C22⋊C4—22no—
912C2×C22⋊C4—22no—
913C2×C22⋊C4—22no—
914C2×C22⋊C4—22no—
915C2×C22⋊C4—22no—
916C2×C22⋊C4—22no—
917C2×C22⋊C4—22no—
918C2×C22⋊C4—22no—
919C2×C22⋊C4—22no—
920C2×C22⋊C4—22no—
921C2×C22⋊C4—22no—
922C2×C22⋊C4—22no—
923C2×C22⋊C4—22no—
924C2×C22⋊C4—41no—
925C2×C22⋊C4—41no—
926C2×C22⋊C4—41no—
927C2×C22⋊C4—41no—
928C2×C22⋊C4—41no—
929C2×C22⋊C4—41no—
930C2×C22⋊C4—41no—
931C2×C22⋊C4—41no—
932C2×C22⋊C4—41no—
933C2×C22⋊C4—41no—
934C2×C22⋊C4—41no—
935C2×C22⋊C4—41no—
936C2×C22⋊C4—41no—
937C2×C22⋊C4—41no—
938C2×C22⋊C4—41no—
939C2×C22⋊C4—41no—
940C2×C22⋊C4—41no—
941C2×C22⋊C4—41no—
942C2×C22⋊C4—41no—
943C2×C22⋊C4—41no—
944C2×C22⋊C4—41no—
945C2×C22⋊C4—41no—
946C2×C22⋊C4—41no—
947C2×C22⋊C4—41no—
948C2×C22⋊C4D4×C14914yes—
949C2×C22⋊C4D4×C14914yescomplemented
950#95—22no—
951#95—22no—
952#95—22no—
953#95—22no—
954#95—22no—
955#95—41no—
956#95—41no—
957#95—41no—
958#95—41no—
959#95—41no—
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—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—28no—
997C24—28no—
998C24—28no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—44no—
1014C24—44no—
1015C24—44no—
1016C24—44no—
1017C24—44no—
1018C24—44no—
1019C24—44no—
1020C24—44no—
1021C24—44no—
1022C24—44no—
1023C24—44no—
1024C24—44no—
1025C24—44no—
1026C24—44no—
1027C24—44no—
1028C24—44no—
1029C24—44no—
1030C24—44no—
1031C24—44no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—44no—
1037C24—44no—
1038C24—44no—
1039C24—44no—
1040C24—44no—
1041C24—44no—
1042C24—44no—
1043C24—44no—
1044C24—44no—
1045C24C2×D4×C14912yes—
1046C24C2×D4×C14912yes—
1047C24C2×D4×C14912yes—
1048C24C2×D4×C14912yes—
1049C24C2×D4×C14912yes—
1050C24C2×D4×C14912yes—
1051C24C2×D4×C14912yes—
1052C24#41×C14912yes—
1053C24#41×C14912yes—
1054C24#41×C14912yes—
1055C24C24×C14911yescharacteristic
1056C2×D4—28no—
1057C2×D4—28no—
1058C2×D4—28no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
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—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4C2×D4×C14912yes—
1150C22×C4C2×D4×C14912yes—
1151C22×C4C2×D4×C14912yes—
1152C22×C4C2×D4×C14912yes—
1153C22×C4C2×D4×C14912yes—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—28no—
1159C22⋊C4—44no—
1160C22⋊C4—44no—
1161C22⋊C4—44no—
1162C22⋊C4—44no—
1163C22⋊C4—44no—
1164C22⋊C4—44no—
1165C22⋊C4—44no—
1166C22⋊C4—44no—
1167C22⋊C4—44no—
1168C22⋊C4—44no—
1169C22⋊C4—44no—
1170C22⋊C4—44no—
1171C22⋊C4—44no—
1172C22⋊C4—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—22no—
1179C23—22no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—22no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—416no—
1237C23—416no—
1238C23—416no—
1239C23—416no—
1240C23—416no—
1241C23—416no—
1242C23—416no—
1243C23—416no—
1244C23—416no—
1245C23—416no—
1246C23—416no—
1247C23—416no—
1248C23—416no—
1249C23—416no—
1250C23—416no—
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—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23#120×C14914yes—
1328C23#121×C14914yes—
1329C23#123×C14914yes—
1330C23C22×D4×C14911yescharacteristic
1331C23C22×D4×C14911yescharacteristic
1332C23C22×D4×C14911yescharacteristic
1333C23C22×D4×C14911yescharacteristic
1334C23C2×#41×C14911yescharacteristic
1335C23C2×#41×C14911yescharacteristic
1336C23C2×#41×C14911yescharacteristic
1337C23H(5,𝔽2)×C14911yescharacteristic
1338C23H(5,𝔽2)×C14911yescharacteristic
1339C23H(5,𝔽2)×C14911yescharacteristic
1340C23H(5,𝔽2)×C14911yescharacteristic
1341C23H(5,𝔽2)×C14911yescharacteristic
1342C23H(5,𝔽2)×C14911yescharacteristic
1343C23H(5,𝔽2)×C14911yescharacteristic
1344C23H(5,𝔽2)×C14911yescharacteristic
1345D4—416no—
1346D4—416no—
1347D4—416no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
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—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C22—24no—
1426C22—24no—
1427C22—24no—
1428C22—24no—
1429C22—24no—
1430C22—24no—
1431C22—24no—
1432C22—24no—
1433C22—24no—
1434C22—464no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—42no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—42no—
1473C22—42no—
1474C22—42no—
1475C22—42no—
1476C22—42no—
1477C22—42no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22C2×#120×C14911yescharacteristic
1487C22C2×#121×C14911yescharacteristic
1488C22C2×#123×C14911yescharacteristic
1489C22#534×C14911yescharacteristic
1490C22#534×C14911yescharacteristic
1491C22#534×C14911yescharacteristic
1492C22#534×C14911yescharacteristic
1493C22#534×C14911yescharacteristic
1494C22#534×C14911yescharacteristic
1495C22#534×C14911yescharacteristic
1496C22#535×C14911yescharacteristic
1497C22#535×C14911yescharacteristic
1498C22#535×C14911yescharacteristic
1499C22#538×C14911yescharacteristic
1500C22#538×C14911yescharacteristic
1501C22#538×C14911yescharacteristic
1502C22#538×C14911yescharacteristic
1503C22#538×C14911yescharacteristic
1504C22#538×C14911yescharacteristic
1505C22D42×C14911yescharacteristic
1506C22D42×C14911yescharacteristic
1507C22#546×C14911yescharacteristic
1508C22#546×C14911yescharacteristic
1509C22#546×C14911yescharacteristic
1510C22#546×C14911yescharacteristic
1511C22#546×C14911yescharacteristic
1512C22#546×C14911yescharacteristic
1513C22#546×C14911yescharacteristic
1514C22#546×C14911yescharacteristic
1515C22#551×C14911yescharacteristic
1516C22#551×C14911yescharacteristic
1517C22#560×C14911yescharacteristic
1518C22#560×C14911yescharacteristic
1519C22#560×C14911yescharacteristic
1520C22H(3,𝔽4)×C14911yescharacteristic
1521C4—42no—
1522C4—42no—
1523C4—42no—
1524C4—42no—
1525C4—42no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C2—44no—
1533C2—44no—
1534C2—44no—
1535C2—82no—
1536C2#2405×C14911yescharacteristic
1537C2#2410×C14911yescharacteristic
1538C2#2412×C14911yescharacteristic
1539C2#2613×C14911yescharacteristic
1540C2#2617×C14911yescharacteristic
1541C2#2622×C14911yescharacteristic
1542C2#2668×C14911yescharacteristic
1543C2#2670×C14911yescharacteristic
1544C2#2678×C14911yescharacteristic
1545C2#2678×C14911yescharacteristic
1546C2#2684×C14911yescharacteristic
1547C2#2685×C14911yescharacteristic
1548C2#2685×C14911yescharacteristic
1549C2#2697×C14911yescharacteristic
1550C2#2812×C14911yescharacteristic
subgroupG/H
center, socleC24×C149C24
commutator, Frattini, cosocleC24C24×C149
prime radicalC22×#120×C149C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C149 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#397×C149C2semidirect
3. C2×#394×C149C2semidirect
4. C2×#394×C149C2semidirect
5. C2×#379×C149C2semidirect
6. C2×#379×C149C2semidirect
7. #1440×C149C2semidirect
8. #1440×C149C2semidirect
9. #1439×C149C2semidirect
10. #1439×C149C2semidirect
11. #1439×C149C2semidirect
12. #1438×C149C2semidirect
13. #1438×C149C2semidirect
14. #1438×C149C2semidirect
15. #1438×C149C2semidirect
23. C22×C4⋊C4×C149C22semidirect
24. C22×C4⋊C4×C149C22semidirect
40. C22×C22⋊C4×C149C22semidirect
41. C22×C22⋊C4×C149C22semidirect
42. C22×C22⋊C4×C149C22semidirect
43. C22×C22⋊C4×C149C22semidirect
49. C2×#95×C149C22semidirect
50. C2×#95×C149C22semidirect
51. C2×#95×C149C22semidirect
52. C2×#95×C149C22semidirect
53. C2×#95×C149C22semidirect
54. C2×#95×C149C22semidirect
55. C2×#95×C149C22semidirect
56. C2×#95×C149C22semidirect
57. C2×#95×C149C22semidirect
58. C2×#95×C149C22semidirect
173. C2×C22⋊C4×C149D4semidirect
775. #16255C149direct (N × H)
776. C149#16255direct (N × H)
778. C2×#397C2×C149semidirect
779. C2×#394C2×C149semidirect
780. C2×#394C2×C149semidirect
781. C2×#379C2×C149semidirect
782. C2×#379C2×C149semidirect
783. #1440C2×C149semidirect
784. #1440C2×C149semidirect
785. #1439C2×C149semidirect
786. #1439C2×C149semidirect
787. #1439C2×C149semidirect
788. #1438C2×C149semidirect
789. #1438C2×C149semidirect
790. #1438C2×C149semidirect
791. #1438C2×C149semidirect
799. C22×C4⋊C4C22×C149semidirect
800. C22×C4⋊C4C22×C149semidirect
816. C22×C22⋊C4C22×C149semidirect
817. C22×C22⋊C4C22×C149semidirect
818. C22×C22⋊C4C22×C149semidirect
819. C22×C22⋊C4C22×C149semidirect
825. C2×#95C22×C149semidirect
826. C2×#95C22×C149semidirect
827. C2×#95C22×C149semidirect
828. C2×#95C22×C149semidirect
829. C2×#95C22×C149semidirect
830. C2×#95C22×C149semidirect
831. C2×#95C22×C149semidirect
832. C2×#95C22×C149semidirect
833. C2×#95C22×C149semidirect
834. C2×#95C22×C149semidirect
949. C2×C22⋊C4D4×C149semidirect

Maximal subgroups

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

subgroupindex
C22×#120×C1492
C2×#397×C1492
C2×#394×C1492
C2×#379×C1492
#1440×C1492
#1439×C1492
#1438×C1492
#16255149