Finite Group Databasebeta

← C151×#15268 #50320193

Subgroups — C151×#15268 #50320193

Order 38656.

3502 conjugacy classes of subgroups.

The subgroup lattice has 1568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#120×C151C211yesmaximal, characteristic
2C2×#396×C151C211yesmaximal, characteristic, complemented
3C2×#394×C151C211yesmaximal, characteristic, complemented
4C2×#394×C151C211yesmaximal, characteristic, complemented
5C2×#390×C151C211yesmaximal, characteristic, complemented
6C2×#388×C151C211yesmaximal, characteristic, complemented
7C2×#379×C151C211yesmaximal, characteristic, complemented
8C2×#379×C151C211yesmaximal, characteristic, complemented
9#1440×C151C211yesmaximal, characteristic, complemented
10#1439×C151C211yesmaximal, characteristic, complemented
11#1439×C151C211yesmaximal, characteristic, complemented
12#1438×C151C211yesmaximal, characteristic, complemented
13#1438×C151C211yesmaximal, characteristic, complemented
14#1438×C151C211yesmaximal, characteristic, complemented
15#1437×C151C211yesmaximal, characteristic, complemented
16C26×C151C2211yescharacteristic
17C23×D4×C151C2211yescharacteristic
18C23×D4×C151C2211yescharacteristic
19C23×D4×C151C2211yescharacteristic
20C2×#120×C151—24no—
21C2×#120×C151—24no—
22C2×#120×C151—24no—
23C22×C4⋊C4×C151C2211yescharacteristic, complemented
24C22×C4⋊C4×C151C2211yescharacteristic, complemented
25C22×C4⋊C4×C151C2211yescharacteristic, complemented
26C22×C22⋊C4×C151C2211yescharacteristic
27C22×C22⋊C4×C151C2211yescharacteristic
28C22×C22⋊C4×C151C2211yescharacteristic
29C22×C22⋊C4×C151C2211yescharacteristic
30C22×C22⋊C4×C151C2211yescharacteristic
31C22×C22⋊C4×C151C2211yescharacteristic
32C22×C22⋊C4×C151C2211yescharacteristic
33C22×C22⋊C4×C151C2211yescharacteristic
34C22×C22⋊C4×C151C2211yescharacteristic
35C22×C22⋊C4×C151C2211yescharacteristic
36C22×C22⋊C4×C151C2211yescharacteristic
37C22×C22⋊C4×C151C2211yescharacteristic
38C22×C22⋊C4×C151C2211yescharacteristic
39C22×C22⋊C4×C151C2211yescharacteristic
40C22×C22⋊C4×C151C2211yescharacteristic
41C22×C22⋊C4×C151C2211yescharacteristic, complemented
42C22×C22⋊C4×C151C2211yescharacteristic, complemented
43C22×C22⋊C4×C151C2211yescharacteristic, complemented
44C22×C22⋊C4×C151C2211yescharacteristic, complemented
45C22×C42×C151C2211yescharacteristic, complemented
46#396×C151—24no—
47#394×C151—24no—
48#394×C151—24no—
49#390×C151—24no—
50#388×C151—24no—
51#379×C151—24no—
52#379×C151—24no—
53C2×#95×C151C2211yescharacteristic, complemented
54C2×#95×C151C2211yescharacteristic, complemented
55C2×#95×C151C2211yescharacteristic, complemented
56C2×#95×C151C2211yescharacteristic, complemented
57C2×#95×C151C2211yescharacteristic, complemented
58C2×#95×C151C2211yescharacteristic, complemented
59C2×#95×C151C2211yescharacteristic, complemented
60C2×#95×C151C2211yescharacteristic, complemented
61C25×C151—22no—
62C25×C151—22no—
63C25×C151—22no—
64C25×C151—22no—
65C25×C151—22no—
66C25×C151—22no—
67C25×C151—22no—
68C25×C151—22no—
69C25×C151—22no—
70C25×C151—41no—
71C25×C151—41no—
72C25×C151—41no—
73C25×C151—41no—
74C25×C151—41no—
75C25×C151—41no—
76C25×C151C2311yescharacteristic
77C25×C151C2311yescharacteristic
78C25×C151C2311yescharacteristic
79C25×C151C2311yescharacteristic
80C22×D4×C151—22no—
81C22×D4×C151—22no—
82C22×D4×C151—22no—
83C22×D4×C151—22no—
84C22×D4×C151—22no—
85C22×D4×C151—22no—
86C22×D4×C151—22no—
87C22×D4×C151—22no—
88C22×D4×C151—22no—
89C22×D4×C151—22no—
90C22×D4×C151—22no—
91C22×D4×C151—22no—
92C22×D4×C151—22no—
93C22×D4×C151—22no—
94C22×D4×C151—41no—
95C22×D4×C151—41no—
96C22×D4×C151—41no—
97C22×D4×C151—41no—
98C22×D4×C151—41no—
99C22×D4×C151—41no—
100C22×D4×C151D414yes—
101C23×C4×C151C2311yescharacteristic
102C23×C4×C151C2311yescharacteristic
103C23×C4×C151C2311yescharacteristic
104C23×C4×C151C2311yescharacteristic
105C23×C4×C151C2311yescharacteristic
106C23×C4×C151C2311yescharacteristic
107C23×C4×C151C2311yescharacteristic
108C23×C4×C151C2311yescharacteristic
109C23×C4×C151C2311yescharacteristic
110C23×C4×C151C2311yescharacteristic
111C23×C4×C151C2311yescharacteristic
112#120×C151—232no—
113C2×C4⋊C4×C151—22no—
114C2×C4⋊C4×C151—22no—
115C2×C4⋊C4×C151—22no—
116C2×C4⋊C4×C151—22no—
117C2×C4⋊C4×C151—22no—
118C2×C4⋊C4×C151—22no—
119C2×C4⋊C4×C151—22no—
120C2×C4⋊C4×C151—41no—
121C2×C4⋊C4×C151—41no—
122C2×C22⋊C4×C151—22no—
123C2×C22⋊C4×C151—22no—
124C2×C22⋊C4×C151—22no—
125C2×C22⋊C4×C151—22no—
126C2×C22⋊C4×C151—22no—
127C2×C22⋊C4×C151—22no—
128C2×C22⋊C4×C151—22no—
129C2×C22⋊C4×C151—22no—
130C2×C22⋊C4×C151—22no—
131C2×C22⋊C4×C151—22no—
132C2×C22⋊C4×C151—22no—
133C2×C22⋊C4×C151—22no—
134C2×C22⋊C4×C151—22no—
135C2×C22⋊C4×C151—22no—
136C2×C22⋊C4×C151—22no—
137C2×C22⋊C4×C151—22no—
138C2×C22⋊C4×C151—22no—
139C2×C22⋊C4×C151—22no—
140C2×C22⋊C4×C151—22no—
141C2×C22⋊C4×C151—22no—
142C2×C22⋊C4×C151—22no—
143C2×C22⋊C4×C151—22no—
144C2×C22⋊C4×C151—22no—
145C2×C22⋊C4×C151—22no—
146C2×C22⋊C4×C151—22no—
147C2×C22⋊C4×C151—22no—
148C2×C22⋊C4×C151—22no—
149C2×C22⋊C4×C151—22no—
150C2×C22⋊C4×C151—22no—
151C2×C22⋊C4×C151—22no—
152C2×C22⋊C4×C151—22no—
153C2×C22⋊C4×C151—22no—
154C2×C22⋊C4×C151—22no—
155C2×C22⋊C4×C151—22no—
156C2×C22⋊C4×C151—22no—
157C2×C22⋊C4×C151—41no—
158C2×C22⋊C4×C151—41no—
159C2×C22⋊C4×C151—41no—
160C2×C22⋊C4×C151—41no—
161C2×C22⋊C4×C151—41no—
162C2×C22⋊C4×C151—41no—
163C2×C22⋊C4×C151—41no—
164C2×C22⋊C4×C151—41no—
165C2×C22⋊C4×C151—41no—
166C2×C22⋊C4×C151—41no—
167C2×C22⋊C4×C151—41no—
168C2×C22⋊C4×C151—41no—
169C2×C22⋊C4×C151—41no—
170C2×C22⋊C4×C151—41no—
171C2×C22⋊C4×C151—41no—
172C2×C22⋊C4×C151—41no—
173C2×C22⋊C4×C151—41no—
174C2×C22⋊C4×C151—41no—
175C2×C22⋊C4×C151D414yes—
176C2×C22⋊C4×C151D414yes—
177C2×C22⋊C4×C151D414yescomplemented
178C2×C22⋊C4×C151D414yescomplemented
179C2×C42×C151—22no—
180C2×C42×C151—22no—
181C2×C42×C151—41no—
182#95×C151—22no—
183#95×C151—22no—
184#95×C151—22no—
185#95×C151—22no—
186#95×C151—22no—
187#95×C151—41no—
188#95×C151—41no—
189#95×C151—41no—
190C24×C151—21no—
191C24×C151—21no—
192C24×C151—21no—
193C24×C151—21no—
194C24×C151—21no—
195C24×C151—21no—
196C24×C151—21no—
197C24×C151—21no—
198C24×C151—21no—
199C24×C151—21no—
200C24×C151—21no—
201C24×C151—21no—
202C24×C151—21no—
203C24×C151—21no—
204C24×C151—21no—
205C24×C151—21no—
206C24×C151—21no—
207C24×C151—21no—
208C24×C151—21no—
209C24×C151—21no—
210C24×C151—21no—
211C24×C151—21no—
212C24×C151—21no—
213C24×C151—21no—
214C24×C151—21no—
215C24×C151—21no—
216C24×C151—21no—
217C24×C151—21no—
218C24×C151—21no—
219C24×C151—21no—
220C24×C151—21no—
221C24×C151—21no—
222C24×C151—21no—
223C24×C151—21no—
224C24×C151—21no—
225C24×C151—21no—
226C24×C151—28no—
227C24×C151—28no—
228C24×C151—28no—
229C24×C151—21no—
230C24×C151—21no—
231C24×C151—21no—
232C24×C151—21no—
233C24×C151—21no—
234C24×C151—21no—
235C24×C151—21no—
236C24×C151—21no—
237C24×C151—21no—
238C24×C151—21no—
239C24×C151—21no—
240C24×C151—21no—
241C24×C151—21no—
242C24×C151—21no—
243C24×C151—44no—
244C24×C151—44no—
245C24×C151—44no—
246C24×C151—44no—
247C24×C151—44no—
248C24×C151—44no—
249C24×C151—44no—
250C24×C151—44no—
251C24×C151—44no—
252C24×C151—44no—
253C24×C151—44no—
254C24×C151—44no—
255C24×C151—44no—
256C24×C151—44no—
257C24×C151—44no—
258C24×C151—44no—
259C24×C151—44no—
260C24×C151—44no—
261C24×C151—44no—
262C24×C151—44no—
263C24×C151—44no—
264C24×C151—44no—
265C24×C151—44no—
266C24×C151—44no—
267C24×C151—44no—
268C24×C151—44no—
269C24×C151—44no—
270C24×C151—44no—
271C24×C151—44no—
272C24×C151—44no—
273C24×C151—44no—
274C24×C151—44no—
275C24×C151C2×D412yes—
276C24×C151C2×D412yes—
277C24×C151C2×D412yes—
278C24×C151C2×D412yes—
279C24×C151C2×D412yes—
280C24×C151C2×D412yes—
281C24×C151#4112yes—
282C24×C151#4112yes—
283C24×C151#4112yes—
284C24×C151#4112yes—
285C24×C151C2411yescharacteristic
286C2×D4×C151—28no—
287C2×D4×C151—28no—
288C2×D4×C151—28no—
289C2×D4×C151—28no—
290C2×D4×C151—44no—
291C2×D4×C151—44no—
292C2×D4×C151—44no—
293C2×D4×C151—44no—
294C2×D4×C151—44no—
295C2×D4×C151—44no—
296C2×D4×C151—44no—
297C2×D4×C151—44no—
298C2×D4×C151—44no—
299C2×D4×C151—44no—
300C2×D4×C151—44no—
301C2×D4×C151—44no—
302C2×D4×C151—44no—
303C2×D4×C151—44no—
304C2×D4×C151—44no—
305C2×D4×C151—44no—
306C2×D4×C151—44no—
307C22×C4×C151—21no—
308C22×C4×C151—21no—
309C22×C4×C151—21no—
310C22×C4×C151—21no—
311C22×C4×C151—21no—
312C22×C4×C151—21no—
313C22×C4×C151—21no—
314C22×C4×C151—21no—
315C22×C4×C151—21no—
316C22×C4×C151—21no—
317C22×C4×C151—21no—
318C22×C4×C151—21no—
319C22×C4×C151—21no—
320C22×C4×C151—21no—
321C22×C4×C151—21no—
322C22×C4×C151—21no—
323C22×C4×C151—21no—
324C22×C4×C151—21no—
325C22×C4×C151—21no—
326C22×C4×C151—21no—
327C22×C4×C151—21no—
328C22×C4×C151—21no—
329C22×C4×C151—21no—
330C22×C4×C151—21no—
331C22×C4×C151—21no—
332C22×C4×C151—21no—
333C22×C4×C151—21no—
334C22×C4×C151—21no—
335C22×C4×C151—21no—
336C22×C4×C151—21no—
337C22×C4×C151—21no—
338C22×C4×C151—21no—
339C22×C4×C151—21no—
340C22×C4×C151—21no—
341C22×C4×C151—21no—
342C22×C4×C151—21no—
343C22×C4×C151—21no—
344C22×C4×C151—21no—
345C22×C4×C151—21no—
346C22×C4×C151—21no—
347C22×C4×C151—21no—
348C22×C4×C151—21no—
349C22×C4×C151—21no—
350C22×C4×C151—21no—
351C22×C4×C151—21no—
352C22×C4×C151—21no—
353C22×C4×C151—21no—
354C22×C4×C151—21no—
355C22×C4×C151—21no—
356C22×C4×C151—21no—
357C22×C4×C151—21no—
358C22×C4×C151—21no—
359C22×C4×C151—21no—
360C22×C4×C151—21no—
361C22×C4×C151—21no—
362C22×C4×C151—21no—
363C22×C4×C151—21no—
364C22×C4×C151—21no—
365C22×C4×C151—21no—
366C22×C4×C151—21no—
367C22×C4×C151—21no—
368C22×C4×C151—21no—
369C22×C4×C151—21no—
370C22×C4×C151—21no—
371C22×C4×C151—21no—
372C22×C4×C151—21no—
373C22×C4×C151—21no—
374C22×C4×C151—21no—
375C22×C4×C151C2×D412yes—
376C22×C4×C151C2×D412yes—
377C22×C4×C151C2×D412yes—
378C22×C4×C151C2×D412yes—
379C22×C4×C151C2×D412yes—
380C22×C4×C151C2×D412yes—
381C22×C4×C151C2×D412yes—
382C22×C4×C151C2×D412yes—
383C22×C4×C151C2×D412yes—
384C4⋊C4×C151—44no—
385C4⋊C4×C151—44no—
386C4⋊C4×C151—44no—
387C22⋊C4×C151—28no—
388C22⋊C4×C151—28no—
389C22⋊C4×C151—28no—
390C22⋊C4×C151—28no—
391C22⋊C4×C151—44no—
392C22⋊C4×C151—44no—
393C22⋊C4×C151—44no—
394C22⋊C4×C151—44no—
395C22⋊C4×C151—44no—
396C22⋊C4×C151—44no—
397C22⋊C4×C151—44no—
398C22⋊C4×C151—44no—
399C22⋊C4×C151—44no—
400C22⋊C4×C151—44no—
401C22⋊C4×C151—44no—
402C22⋊C4×C151—44no—
403C22⋊C4×C151—44no—
404C22⋊C4×C151—44no—
405C22⋊C4×C151—44no—
406C42×C151—44no—
407C23×C151—22no—
408C23×C151—22no—
409C23×C151—22no—
410C23×C151—22no—
411C23×C151—22no—
412C23×C151—22no—
413C23×C151—22no—
414C23×C151—22no—
415C23×C151—22no—
416C23×C151—22no—
417C23×C151—22no—
418C23×C151—22no—
419C23×C151—22no—
420C23×C151—22no—
421C23×C151—22no—
422C23×C151—22no—
423C23×C151—22no—
424C23×C151—22no—
425C23×C151—22no—
426C23×C151—22no—
427C23×C151—22no—
428C23×C151—22no—
429C23×C151—22no—
430C23×C151—22no—
431C23×C151—22no—
432C23×C151—22no—
433C23×C151—22no—
434C23×C151—22no—
435C23×C151—22no—
436C23×C151—22no—
437C23×C151—22no—
438C23×C151—22no—
439C23×C151—22no—
440C23×C151—22no—
441C23×C151—22no—
442C23×C151—22no—
443C23×C151—22no—
444C23×C151—22no—
445C23×C151—22no—
446C23×C151—22no—
447C23×C151—22no—
448C23×C151—22no—
449C23×C151—22no—
450C23×C151—22no—
451C23×C151—22no—
452C23×C151—22no—
453C23×C151—22no—
454C23×C151—22no—
455C23×C151—22no—
456C23×C151—22no—
457C23×C151—22no—
458C23×C151—22no—
459C23×C151—22no—
460C23×C151—22no—
461C23×C151—22no—
462C23×C151—22no—
463C23×C151—22no—
464C23×C151—22no—
465C23×C151—22no—
466C23×C151—22no—
467C23×C151—22no—
468C23×C151—416no—
469C23×C151—416no—
470C23×C151—416no—
471C23×C151—416no—
472C23×C151—416no—
473C23×C151—416no—
474C23×C151—416no—
475C23×C151—416no—
476C23×C151—416no—
477C23×C151—416no—
478C23×C151—416no—
479C23×C151—416no—
480C23×C151—416no—
481C23×C151—416no—
482C23×C151—416no—
483C23×C151—41no—
484C23×C151—41no—
485C23×C151—41no—
486C23×C151—41no—
487C23×C151—41no—
488C23×C151—41no—
489C23×C151—41no—
490C23×C151—41no—
491C23×C151—41no—
492C23×C151—41no—
493C23×C151—41no—
494C23×C151—41no—
495C23×C151—41no—
496C23×C151—41no—
497C23×C151—41no—
498C23×C151—41no—
499C23×C151—41no—
500C23×C151—41no—
501C23×C151—41no—
502C23×C151—41no—
503C23×C151—41no—
504C23×C151—41no—
505C23×C151—41no—
506C23×C151—41no—
507C23×C151—41no—
508C23×C151—41no—
509C23×C151—41no—
510C23×C151—41no—
511C23×C151—41no—
512C23×C151—41no—
513C23×C151—41no—
514C23×C151—41no—
515C23×C151—41no—
516C23×C151—41no—
517C23×C151—41no—
518C23×C151—41no—
519C23×C151—41no—
520C23×C151—41no—
521C23×C151—41no—
522C23×C151—41no—
523C23×C151—41no—
524C23×C151—41no—
525C23×C151—41no—
526C23×C151—41no—
527C23×C151—41no—
528C23×C151—41no—
529C23×C151—41no—
530C23×C151—41no—
531C23×C151—41no—
532C23×C151—41no—
533C23×C151—41no—
534C23×C151—41no—
535C23×C151—41no—
536C23×C151—41no—
537C23×C151—41no—
538C23×C151—41no—
539C23×C151—41no—
540C23×C151—41no—
541C23×C151—41no—
542C23×C151—41no—
543C23×C151—41no—
544C23×C151—41no—
545C23×C151—41no—
546C23×C151—41no—
547C23×C151—41no—
548C23×C151—41no—
549C23×C151—41no—
550C23×C151—41no—
551C23×C151—41no—
552C23×C151—41no—
553C23×C151—41no—
554C23×C151—41no—
555C23×C151—41no—
556C23×C151—41no—
557C23×C151—41no—
558C23×C151—41no—
559C23×C151#12114yes—
560C23×C151#12114yes—
561C23×C151#12414yes—
562C23×C151C22×D411yescharacteristic
563C23×C151C22×D411yescharacteristic
564C23×C151C22×D411yescharacteristic
565C23×C151C22×D411yescharacteristic
566C23×C151C22×D411yescharacteristic
567C23×C151C2×#4111yescharacteristic
568C23×C151C2×#4111yescharacteristic
569C23×C151C2×#4111yescharacteristic
570C23×C151C2×#4111yescharacteristic
571C23×C151H(5,𝔽2)11yescharacteristic
572C23×C151H(5,𝔽2)11yescharacteristic
573C23×C151H(5,𝔽2)11yescharacteristic
574C23×C151H(5,𝔽2)11yescharacteristic
575C23×C151H(5,𝔽2)11yescharacteristic
576C23×C151H(5,𝔽2)11yescharacteristic
577D4×C151—416no—
578D4×C151—416no—
579D4×C151—416no—
580C2×C4×C151—22no—
581C2×C4×C151—22no—
582C2×C4×C151—22no—
583C2×C4×C151—22no—
584C2×C4×C151—22no—
585C2×C4×C151—22no—
586C2×C4×C151—22no—
587C2×C4×C151—22no—
588C2×C4×C151—22no—
589C2×C4×C151—22no—
590C2×C4×C151—22no—
591C2×C4×C151—22no—
592C2×C4×C151—22no—
593C2×C4×C151—22no—
594C2×C4×C151—22no—
595C2×C4×C151—22no—
596C2×C4×C151—22no—
597C2×C4×C151—22no—
598C2×C4×C151—22no—
599C2×C4×C151—22no—
600C2×C4×C151—22no—
601C2×C4×C151—22no—
602C2×C4×C151—22no—
603C2×C4×C151—22no—
604C2×C4×C151—41no—
605C2×C4×C151—41no—
606C2×C4×C151—41no—
607C2×C4×C151—41no—
608C2×C4×C151—41no—
609C2×C4×C151—41no—
610C2×C4×C151—41no—
611C2×C4×C151—41no—
612C2×C4×C151—41no—
613C2×C4×C151—41no—
614C2×C4×C151—41no—
615C2×C4×C151—41no—
616C2×C4×C151—41no—
617C2×C4×C151—41no—
618C2×C4×C151—41no—
619C2×C4×C151—41no—
620C2×C4×C151—41no—
621C2×C4×C151—41no—
622C2×C4×C151—41no—
623C2×C4×C151—41no—
624C2×C4×C151—41no—
625C2×C4×C151—41no—
626C2×C4×C151—41no—
627C2×C4×C151—41no—
628C2×C4×C151—41no—
629C2×C4×C151—41no—
630C2×C4×C151—41no—
631C2×C4×C151—41no—
632C2×C4×C151—41no—
633C2×C4×C151—41no—
634C2×C4×C151—41no—
635C2×C4×C151—41no—
636C2×C4×C151—41no—
637C2×C4×C151—41no—
638C2×C4×C151—41no—
639C2×C4×C151—41no—
640C2×C4×C151—41no—
641C2×C4×C151—41no—
642C2×C4×C151—41no—
643C2×C4×C151—41no—
644C2×C4×C151—41no—
645C2×C4×C151—41no—
646C2×C4×C151—41no—
647C2×C4×C151—41no—
648C2×C4×C151—41no—
649C2×C4×C151—41no—
650C2×C4×C151—41no—
651C2×C4×C151—41no—
652C2×C4×C151—41no—
653C2×C4×C151—41no—
654C2×C4×C151—41no—
655C2×C4×C151—41no—
656C2×C4×C151#12014yes—
657C22×C151—24no—
658C22×C151—24no—
659C22×C151—24no—
660C22×C151—24no—
661C22×C151—24no—
662C22×C151—24no—
663C22×C151—24no—
664C22×C151—24no—
665C22×C151—24no—
666C22×C151—464no—
667C22×C151—42no—
668C22×C151—42no—
669C22×C151—42no—
670C22×C151—42no—
671C22×C151—42no—
672C22×C151—42no—
673C22×C151—42no—
674C22×C151—42no—
675C22×C151—42no—
676C22×C151—42no—
677C22×C151—42no—
678C22×C151—42no—
679C22×C151—42no—
680C22×C151—42no—
681C22×C151—42no—
682C22×C151—42no—
683C22×C151—42no—
684C22×C151—42no—
685C22×C151—42no—
686C22×C151—42no—
687C22×C151—42no—
688C22×C151—42no—
689C22×C151—42no—
690C22×C151—42no—
691C22×C151—42no—
692C22×C151—42no—
693C22×C151—42no—
694C22×C151—42no—
695C22×C151—42no—
696C22×C151—42no—
697C22×C151—42no—
698C22×C151—42no—
699C22×C151—42no—
700C22×C151—42no—
701C22×C151—42no—
702C22×C151—42no—
703C22×C151—42no—
704C22×C151—42no—
705C22×C151—42no—
706C22×C151—42no—
707C22×C151—42no—
708C22×C151—42no—
709C22×C151—42no—
710C22×C151—81no—
711C22×C151—81no—
712C22×C151—81no—
713C22×C151—81no—
714C22×C151—81no—
715C22×C151—81no—
716C22×C151—81no—
717C22×C151—81no—
718C22×C151C2×#12011yescharacteristic
719C22×C151C2×#12111yescharacteristic
720C22×C151C2×#12111yescharacteristic
721C22×C151#52511yescharacteristic
722C22×C151#52511yescharacteristic
723C22×C151C2×#12411yescharacteristic
724C22×C151#53411yescharacteristic
725C22×C151#53411yescharacteristic
726C22×C151#53511yescharacteristic
727C22×C151#53511yescharacteristic
728C22×C151#53511yescharacteristic
729C22×C151#53811yescharacteristic
730C22×C151#53811yescharacteristic
731C22×C151#53811yescharacteristic
732C22×C151#53811yescharacteristic
733C22×C151D4211yescharacteristic
734C22×C151D4211yescharacteristic
735C22×C151D4211yescharacteristic
736C22×C151D4211yescharacteristic
737C22×C151D4211yescharacteristic
738C22×C151#54611yescharacteristic
739C22×C151#54611yescharacteristic
740C22×C151#54611yescharacteristic
741C22×C151#54611yescharacteristic
742C22×C151#54611yescharacteristic
743C22×C151#54611yescharacteristic
744C22×C151#54611yescharacteristic
745C22×C151#54611yescharacteristic
746C22×C151#54611yescharacteristic
747C22×C151#54611yescharacteristic
748C22×C151#55111yescharacteristic
749C22×C151#55111yescharacteristic
750C22×C151#55111yescharacteristic
751C22×C151#56011yescharacteristic
752C22×C151#56011yescharacteristic
753C4×C151—24no—
754C4×C151—42no—
755C4×C151—42no—
756C4×C151—42no—
757C4×C151—42no—
758C4×C151—42no—
759C4×C151—42no—
760C4×C151—81no—
761C4×C151—81no—
762C4×C151—81no—
763C4×C151—81no—
764C2×C151—44no—
765C2×C151—44no—
766C2×C151—44no—
767C2×C151—82no—
768C2×C151#240811yescharacteristic
769C2×C151#241011yescharacteristic
770C2×C151#241111yescharacteristic
771C2×C151#242411yescharacteristic
772C2×C151#242411yescharacteristic
773C2×C151#243511yescharacteristic
774C2×C151#247211yescharacteristic
775C2×C151#247211yescharacteristic
776C2×C151#253411yescharacteristic
777C2×C151#266911yescharacteristic
778C2×C151#267811yescharacteristic
779C2×C151#267811yescharacteristic
780C2×C151#268511yescharacteristic
781C2×C151#268511yescharacteristic
782C2×C151#269711yescharacteristic
783#15268C15111yesmaximal, characteristic, direct product factor, Sylow
784C151#1526811yescharacteristic, direct product factor, Sylow
785C22×#120C2×C15111yescharacteristic
786C2×#396C2×C15111yescharacteristic, complemented
787C2×#394C2×C15111yescharacteristic, complemented
788C2×#394C2×C15111yescharacteristic, complemented
789C2×#390C2×C15111yescharacteristic, complemented
790C2×#388C2×C15111yescharacteristic, complemented
791C2×#379C2×C15111yescharacteristic, complemented
792C2×#379C2×C15111yescharacteristic, complemented
793#1440C2×C15111yescharacteristic, complemented
794#1439C2×C15111yescharacteristic, complemented
795#1439C2×C15111yescharacteristic, complemented
796#1438C2×C15111yescharacteristic, complemented
797#1438C2×C15111yescharacteristic, complemented
798#1438C2×C15111yescharacteristic, complemented
799#1437C2×C15111yescharacteristic, complemented
800C26C22×C15111yescharacteristic
801C23×D4C22×C15111yescharacteristic
802C23×D4C22×C15111yescharacteristic
803C23×D4C22×C15111yescharacteristic
804C2×#120—24no—
805C2×#120—24no—
806C2×#120—24no—
807C22×C4⋊C4C22×C15111yescharacteristic, complemented
808C22×C4⋊C4C22×C15111yescharacteristic, complemented
809C22×C4⋊C4C22×C15111yescharacteristic, complemented
810C22×C22⋊C4C22×C15111yescharacteristic
811C22×C22⋊C4C22×C15111yescharacteristic
812C22×C22⋊C4C22×C15111yescharacteristic
813C22×C22⋊C4C22×C15111yescharacteristic
814C22×C22⋊C4C22×C15111yescharacteristic
815C22×C22⋊C4C22×C15111yescharacteristic
816C22×C22⋊C4C22×C15111yescharacteristic
817C22×C22⋊C4C22×C15111yescharacteristic
818C22×C22⋊C4C22×C15111yescharacteristic
819C22×C22⋊C4C22×C15111yescharacteristic
820C22×C22⋊C4C22×C15111yescharacteristic
821C22×C22⋊C4C22×C15111yescharacteristic
822C22×C22⋊C4C22×C15111yescharacteristic
823C22×C22⋊C4C22×C15111yescharacteristic
824C22×C22⋊C4C22×C15111yescharacteristic
825C22×C22⋊C4C22×C15111yescharacteristic, complemented
826C22×C22⋊C4C22×C15111yescharacteristic, complemented
827C22×C22⋊C4C22×C15111yescharacteristic, complemented
828C22×C22⋊C4C22×C15111yescharacteristic, complemented
829C22×C42C22×C15111yescharacteristic, complemented
830#396—24no—
831#394—24no—
832#394—24no—
833#390—24no—
834#388—24no—
835#379—24no—
836#379—24no—
837C2×#95C22×C15111yescharacteristic, complemented
838C2×#95C22×C15111yescharacteristic, complemented
839C2×#95C22×C15111yescharacteristic, complemented
840C2×#95C22×C15111yescharacteristic, complemented
841C2×#95C22×C15111yescharacteristic, complemented
842C2×#95C22×C15111yescharacteristic, complemented
843C2×#95C22×C15111yescharacteristic, complemented
844C2×#95C22×C15111yescharacteristic, complemented
845C25—22no—
846C25—22no—
847C25—22no—
848C25—22no—
849C25—22no—
850C25—22no—
851C25—22no—
852C25—22no—
853C25—22no—
854C25—41no—
855C25—41no—
856C25—41no—
857C25—41no—
858C25—41no—
859C25—41no—
860C25C23×C15111yescharacteristic
861C25C23×C15111yescharacteristic
862C25C23×C15111yescharacteristic
863C25C23×C15111yescharacteristic
864C22×D4—22no—
865C22×D4—22no—
866C22×D4—22no—
867C22×D4—22no—
868C22×D4—22no—
869C22×D4—22no—
870C22×D4—22no—
871C22×D4—22no—
872C22×D4—22no—
873C22×D4—22no—
874C22×D4—22no—
875C22×D4—22no—
876C22×D4—22no—
877C22×D4—22no—
878C22×D4—41no—
879C22×D4—41no—
880C22×D4—41no—
881C22×D4—41no—
882C22×D4—41no—
883C22×D4—41no—
884C22×D4D4×C15114yes—
885C23×C4C23×C15111yescharacteristic
886C23×C4C23×C15111yescharacteristic
887C23×C4C23×C15111yescharacteristic
888C23×C4C23×C15111yescharacteristic
889C23×C4C23×C15111yescharacteristic
890C23×C4C23×C15111yescharacteristic
891C23×C4C23×C15111yescharacteristic
892C23×C4C23×C15111yescharacteristic
893C23×C4C23×C15111yescharacteristic
894C23×C4C23×C15111yescharacteristic
895C23×C4C23×C15111yescharacteristic
896#120—232no—
897C2×C4⋊C4—22no—
898C2×C4⋊C4—22no—
899C2×C4⋊C4—22no—
900C2×C4⋊C4—22no—
901C2×C4⋊C4—22no—
902C2×C4⋊C4—22no—
903C2×C4⋊C4—22no—
904C2×C4⋊C4—41no—
905C2×C4⋊C4—41no—
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—22no—
925C2×C22⋊C4—22no—
926C2×C22⋊C4—22no—
927C2×C22⋊C4—22no—
928C2×C22⋊C4—22no—
929C2×C22⋊C4—22no—
930C2×C22⋊C4—22no—
931C2×C22⋊C4—22no—
932C2×C22⋊C4—22no—
933C2×C22⋊C4—22no—
934C2×C22⋊C4—22no—
935C2×C22⋊C4—22no—
936C2×C22⋊C4—22no—
937C2×C22⋊C4—22no—
938C2×C22⋊C4—22no—
939C2×C22⋊C4—22no—
940C2×C22⋊C4—22no—
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⋊C4—41no—
949C2×C22⋊C4—41no—
950C2×C22⋊C4—41no—
951C2×C22⋊C4—41no—
952C2×C22⋊C4—41no—
953C2×C22⋊C4—41no—
954C2×C22⋊C4—41no—
955C2×C22⋊C4—41no—
956C2×C22⋊C4—41no—
957C2×C22⋊C4—41no—
958C2×C22⋊C4—41no—
959C2×C22⋊C4D4×C15114yes—
960C2×C22⋊C4D4×C15114yes—
961C2×C22⋊C4D4×C15114yescomplemented
962C2×C22⋊C4D4×C15114yescomplemented
963C2×C42—22no—
964C2×C42—22no—
965C2×C42—41no—
966#95—22no—
967#95—22no—
968#95—22no—
969#95—22no—
970#95—22no—
971#95—41no—
972#95—41no—
973#95—41no—
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—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—28no—
1011C24—28no—
1012C24—28no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—21no—
1023C24—21no—
1024C24—21no—
1025C24—21no—
1026C24—21no—
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—
1045C24—44no—
1046C24—44no—
1047C24—44no—
1048C24—44no—
1049C24—44no—
1050C24—44no—
1051C24—44no—
1052C24—44no—
1053C24—44no—
1054C24—44no—
1055C24—44no—
1056C24—44no—
1057C24—44no—
1058C24—44no—
1059C24C2×D4×C15112yes—
1060C24C2×D4×C15112yes—
1061C24C2×D4×C15112yes—
1062C24C2×D4×C15112yes—
1063C24C2×D4×C15112yes—
1064C24C2×D4×C15112yes—
1065C24#41×C15112yes—
1066C24#41×C15112yes—
1067C24#41×C15112yes—
1068C24#41×C15112yes—
1069C24C24×C15111yescharacteristic
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
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×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4C2×D4×C15112yes—
1160C22×C4C2×D4×C15112yes—
1161C22×C4C2×D4×C15112yes—
1162C22×C4C2×D4×C15112yes—
1163C22×C4C2×D4×C15112yes—
1164C22×C4C2×D4×C15112yes—
1165C22×C4C2×D4×C15112yes—
1166C22×C4C2×D4×C15112yes—
1167C22×C4C2×D4×C15112yes—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—28no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C42—44no—
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—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—416no—
1253C23—416no—
1254C23—416no—
1255C23—416no—
1256C23—416no—
1257C23—416no—
1258C23—416no—
1259C23—416no—
1260C23—416no—
1261C23—416no—
1262C23—416no—
1263C23—416no—
1264C23—416no—
1265C23—416no—
1266C23—416no—
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—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23#121×C15114yes—
1344C23#121×C15114yes—
1345C23#124×C15114yes—
1346C23C22×D4×C15111yescharacteristic
1347C23C22×D4×C15111yescharacteristic
1348C23C22×D4×C15111yescharacteristic
1349C23C22×D4×C15111yescharacteristic
1350C23C22×D4×C15111yescharacteristic
1351C23C2×#41×C15111yescharacteristic
1352C23C2×#41×C15111yescharacteristic
1353C23C2×#41×C15111yescharacteristic
1354C23C2×#41×C15111yescharacteristic
1355C23H(5,𝔽2)×C15111yescharacteristic
1356C23H(5,𝔽2)×C15111yescharacteristic
1357C23H(5,𝔽2)×C15111yescharacteristic
1358C23H(5,𝔽2)×C15111yescharacteristic
1359C23H(5,𝔽2)×C15111yescharacteristic
1360C23H(5,𝔽2)×C15111yescharacteristic
1361D4—416no—
1362D4—416no—
1363D4—416no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
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—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4#120×C15114yes—
1441C22—24no—
1442C22—24no—
1443C22—24no—
1444C22—24no—
1445C22—24no—
1446C22—24no—
1447C22—24no—
1448C22—24no—
1449C22—24no—
1450C22—464no—
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—42no—
1479C22—42no—
1480C22—42no—
1481C22—42no—
1482C22—42no—
1483C22—42no—
1484C22—42no—
1485C22—42no—
1486C22—42no—
1487C22—42no—
1488C22—42no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22—42no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22C2×#120×C15111yescharacteristic
1503C22C2×#121×C15111yescharacteristic
1504C22C2×#121×C15111yescharacteristic
1505C22#525×C15111yescharacteristic
1506C22#525×C15111yescharacteristic
1507C22C2×#124×C15111yescharacteristic
1508C22#534×C15111yescharacteristic
1509C22#534×C15111yescharacteristic
1510C22#535×C15111yescharacteristic
1511C22#535×C15111yescharacteristic
1512C22#535×C15111yescharacteristic
1513C22#538×C15111yescharacteristic
1514C22#538×C15111yescharacteristic
1515C22#538×C15111yescharacteristic
1516C22#538×C15111yescharacteristic
1517C22D42×C15111yescharacteristic
1518C22D42×C15111yescharacteristic
1519C22D42×C15111yescharacteristic
1520C22D42×C15111yescharacteristic
1521C22D42×C15111yescharacteristic
1522C22#546×C15111yescharacteristic
1523C22#546×C15111yescharacteristic
1524C22#546×C15111yescharacteristic
1525C22#546×C15111yescharacteristic
1526C22#546×C15111yescharacteristic
1527C22#546×C15111yescharacteristic
1528C22#546×C15111yescharacteristic
1529C22#546×C15111yescharacteristic
1530C22#546×C15111yescharacteristic
1531C22#546×C15111yescharacteristic
1532C22#551×C15111yescharacteristic
1533C22#551×C15111yescharacteristic
1534C22#551×C15111yescharacteristic
1535C22#560×C15111yescharacteristic
1536C22#560×C15111yescharacteristic
1537C4—24no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—81no—
1545C4—81no—
1546C4—81no—
1547C4—81no—
1548C2—44no—
1549C2—44no—
1550C2—44no—
1551C2—82no—
1552C2#2408×C15111yescharacteristic
1553C2#2410×C15111yescharacteristic
1554C2#2411×C15111yescharacteristic
1555C2#2424×C15111yescharacteristic
1556C2#2424×C15111yescharacteristic
1557C2#2435×C15111yescharacteristic
1558C2#2472×C15111yescharacteristic
1559C2#2472×C15111yescharacteristic
1560C2#2534×C15111yescharacteristic
1561C2#2669×C15111yescharacteristic
1562C2#2678×C15111yescharacteristic
1563C2#2678×C15111yescharacteristic
1564C2#2685×C15111yescharacteristic
1565C2#2685×C15111yescharacteristic
1566C2#2697×C15111yescharacteristic
subgroupG/H
center, socleC24×C151C24
commutator, Frattini, cosocleC24C24×C151
prime radicalC22×#120×C151C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#396×C151C2semidirect
3. C2×#394×C151C2semidirect
4. C2×#394×C151C2semidirect
5. C2×#390×C151C2semidirect
6. C2×#388×C151C2semidirect
7. C2×#379×C151C2semidirect
8. C2×#379×C151C2semidirect
9. #1440×C151C2semidirect
10. #1439×C151C2semidirect
11. #1439×C151C2semidirect
12. #1438×C151C2semidirect
13. #1438×C151C2semidirect
14. #1438×C151C2semidirect
15. #1437×C151C2semidirect
23. C22×C4⋊C4×C151C22semidirect
24. C22×C4⋊C4×C151C22semidirect
25. C22×C4⋊C4×C151C22semidirect
41. C22×C22⋊C4×C151C22semidirect
42. C22×C22⋊C4×C151C22semidirect
43. C22×C22⋊C4×C151C22semidirect
44. C22×C22⋊C4×C151C22semidirect
45. C22×C42×C151C22semidirect
53. C2×#95×C151C22semidirect
54. C2×#95×C151C22semidirect
55. C2×#95×C151C22semidirect
56. C2×#95×C151C22semidirect
57. C2×#95×C151C22semidirect
58. C2×#95×C151C22semidirect
59. C2×#95×C151C22semidirect
60. C2×#95×C151C22semidirect
177. C2×C22⋊C4×C151D4semidirect
178. C2×C22⋊C4×C151D4semidirect
783. #15268C151direct (N × H)
784. C151#15268direct (N × H)
786. C2×#396C2×C151semidirect
787. C2×#394C2×C151semidirect
788. C2×#394C2×C151semidirect
789. C2×#390C2×C151semidirect
790. C2×#388C2×C151semidirect
791. C2×#379C2×C151semidirect
792. C2×#379C2×C151semidirect
793. #1440C2×C151semidirect
794. #1439C2×C151semidirect
795. #1439C2×C151semidirect
796. #1438C2×C151semidirect
797. #1438C2×C151semidirect
798. #1438C2×C151semidirect
799. #1437C2×C151semidirect
807. C22×C4⋊C4C22×C151semidirect
808. C22×C4⋊C4C22×C151semidirect
809. C22×C4⋊C4C22×C151semidirect
825. C22×C22⋊C4C22×C151semidirect
826. C22×C22⋊C4C22×C151semidirect
827. C22×C22⋊C4C22×C151semidirect
828. C22×C22⋊C4C22×C151semidirect
829. C22×C42C22×C151semidirect
837. C2×#95C22×C151semidirect
838. C2×#95C22×C151semidirect
839. C2×#95C22×C151semidirect
840. C2×#95C22×C151semidirect
841. C2×#95C22×C151semidirect
842. C2×#95C22×C151semidirect
843. C2×#95C22×C151semidirect
844. C2×#95C22×C151semidirect
961. C2×C22⋊C4D4×C151semidirect
962. C2×C22⋊C4D4×C151semidirect

Maximal subgroups

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

subgroupindex
C22×#120×C1512
C2×#396×C1512
C2×#394×C1512
C2×#390×C1512
C2×#388×C1512
C2×#379×C1512
#1440×C1512
#1439×C1512
#1438×C1512
#1437×C1512
#15268151