Finite Group Databasebeta

← C43×#17086 #24937103

Subgroups — C43×#17086 #24937103

Order 11008.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#397C211yesmaximal, characteristic, complemented
2C2×C43×#394C211yesmaximal, characteristic, complemented
3C2×C43×#392C211yesmaximal, characteristic, complemented
4C2×C43×#392C211yesmaximal, characteristic, complemented
5C2×C43×#392C211yesmaximal, characteristic, complemented
6C2×C43×#392C211yesmaximal, characteristic, complemented
7C43×#1443C211yesmaximal, characteristic, complemented
8C43×#1440C211yesmaximal, characteristic, complemented
9C43×#1440C211yesmaximal, characteristic, complemented
10C43×#1439C211yesmaximal, characteristic, complemented
11C43×#1438C211yesmaximal, characteristic, complemented
12C43×#1438C211yesmaximal, characteristic, complemented
13C43×#1438C211yesmaximal, characteristic, complemented
14C43×#1438C211yesmaximal, characteristic, complemented
15C43×#1438C211yesmaximal, characteristic, complemented
16C23×D4×C43C2211yescharacteristic
17C23×D4×C43C2211yescharacteristic
18C23×D4×C43C2211yescharacteristic
19C23×D4×C43C2211yescharacteristic
20C23×D4×C43C2211yescharacteristic
21C23×D4×C43C2211yescharacteristic
22C22×C4⋊C4×C43C2211yescharacteristic
23C22×C22⋊C4×C43C2211yescharacteristic
24C22×C22⋊C4×C43C2211yescharacteristic
25C22×C22⋊C4×C43C2211yescharacteristic
26C22×C22⋊C4×C43C2211yescharacteristic
27C22×C22⋊C4×C43C2211yescharacteristic
28C22×C22⋊C4×C43C2211yescharacteristic
29C22×C22⋊C4×C43C2211yescharacteristic
30C22×C22⋊C4×C43C2211yescharacteristic
31C22×C22⋊C4×C43C2211yescharacteristic
32C22×C22⋊C4×C43C2211yescharacteristic
33C22×C22⋊C4×C43C2211yescharacteristic
34C22×C22⋊C4×C43C2211yescharacteristic
35C22×C22⋊C4×C43C2211yescharacteristic
36C22×C22⋊C4×C43C2211yescharacteristic
37C22×C22⋊C4×C43C2211yescharacteristic
38C22×C22⋊C4×C43C2211yescharacteristic
39C43×#397—24no—
40C43×#394—24no—
41C43×#392—24no—
42C43×#392—24no—
43C43×#392—24no—
44C43×#392—24no—
45C2×#95×C43C2211yescharacteristic
46C2×#95×C43C2211yescharacteristic
47C2×#95×C43C2211yescharacteristic
48C2×#95×C43C2211yescharacteristic
49C2×#95×C43C2211yescharacteristic
50C2×#95×C43C2211yescharacteristic
51C2×#95×C43C2211yescharacteristic
52C2×#95×C43C2211yescharacteristic
53C2×#95×C43C2211yescharacteristic
54C2×#95×C43C2211yescharacteristic
55C2×#95×C43C2211yescharacteristic
56C2×#95×C43C2211yescharacteristic
57C25×C43C2311yescharacteristic
58C25×C43C2311yescharacteristic
59C25×C43C2311yescharacteristic
60C25×C43C2311yescharacteristic
61C22×D4×C43—22no—
62C22×D4×C43—22no—
63C22×D4×C43—22no—
64C22×D4×C43—22no—
65C22×D4×C43—22no—
66C22×D4×C43—22no—
67C22×D4×C43—22no—
68C22×D4×C43—22no—
69C22×D4×C43—22no—
70C22×D4×C43—22no—
71C22×D4×C43—22no—
72C22×D4×C43—22no—
73C22×D4×C43—22no—
74C22×D4×C43—22no—
75C22×D4×C43—22no—
76C22×D4×C43—41no—
77C22×D4×C43—41no—
78C22×D4×C43—41no—
79C22×D4×C43—41no—
80C22×D4×C43—41no—
81C22×D4×C43—41no—
82C22×D4×C43—41no—
83C22×D4×C43—41no—
84C22×D4×C43—41no—
85C22×D4×C43—41no—
86C22×D4×C43—41no—
87C22×D4×C43—41no—
88C22×D4×C43—41no—
89C22×D4×C43—41no—
90C22×D4×C43—41no—
91C22×D4×C43—41no—
92C22×D4×C43—41no—
93C22×D4×C43—41no—
94C22×D4×C43—41no—
95C22×D4×C43—41no—
96C22×D4×C43—41no—
97C22×D4×C43—41no—
98C22×D4×C43—41no—
99C22×D4×C43—41no—
100C22×D4×C43—41no—
101C22×D4×C43—41no—
102C22×D4×C43D414yescomplemented
103C23×C4×C43C2311yescharacteristic
104C23×C4×C43C2311yescharacteristic
105C23×C4×C43C2311yescharacteristic
106C23×C4×C43C2311yescharacteristic
107C23×C4×C43C2311yescharacteristic
108C23×C4×C43C2311yescharacteristic
109C23×C4×C43C2311yescharacteristic
110C23×C4×C43C2311yescharacteristic
111C23×C4×C43C2311yescharacteristic
112C23×C4×C43C2311yescharacteristic
113C23×C4×C43C2311yescharacteristic
114C2×C4⋊C4×C43—22no—
115C2×C4⋊C4×C43—22no—
116C2×C4⋊C4×C43—41no—
117C2×C22⋊C4×C43—22no—
118C2×C22⋊C4×C43—22no—
119C2×C22⋊C4×C43—22no—
120C2×C22⋊C4×C43—22no—
121C2×C22⋊C4×C43—22no—
122C2×C22⋊C4×C43—22no—
123C2×C22⋊C4×C43—22no—
124C2×C22⋊C4×C43—22no—
125C2×C22⋊C4×C43—22no—
126C2×C22⋊C4×C43—22no—
127C2×C22⋊C4×C43—22no—
128C2×C22⋊C4×C43—22no—
129C2×C22⋊C4×C43—22no—
130C2×C22⋊C4×C43—22no—
131C2×C22⋊C4×C43—22no—
132C2×C22⋊C4×C43—22no—
133C2×C22⋊C4×C43—22no—
134C2×C22⋊C4×C43—22no—
135C2×C22⋊C4×C43—22no—
136C2×C22⋊C4×C43—41no—
137C2×C22⋊C4×C43—41no—
138C2×C22⋊C4×C43—41no—
139C2×C22⋊C4×C43—41no—
140C2×C22⋊C4×C43—41no—
141C2×C22⋊C4×C43—41no—
142C2×C22⋊C4×C43—41no—
143C2×C22⋊C4×C43—41no—
144C2×C22⋊C4×C43—41no—
145C2×C22⋊C4×C43—41no—
146C2×C22⋊C4×C43—41no—
147C2×C22⋊C4×C43—41no—
148C2×C22⋊C4×C43—41no—
149C2×C22⋊C4×C43—41no—
150C2×C22⋊C4×C43—41no—
151C2×C22⋊C4×C43—41no—
152C2×C22⋊C4×C43—41no—
153C2×C22⋊C4×C43—41no—
154C2×C22⋊C4×C43—41no—
155C2×C22⋊C4×C43—41no—
156C2×C22⋊C4×C43—41no—
157C2×C22⋊C4×C43—41no—
158C2×C22⋊C4×C43—41no—
159C2×C22⋊C4×C43—41no—
160C2×C22⋊C4×C43—41no—
161C2×C22⋊C4×C43—41no—
162C2×C22⋊C4×C43—41no—
163C2×C22⋊C4×C43—41no—
164C2×C22⋊C4×C43D414yescomplemented
165#95×C43—22no—
166#95×C43—22no—
167#95×C43—22no—
168#95×C43—22no—
169#95×C43—22no—
170#95×C43—22no—
171#95×C43—41no—
172#95×C43—41no—
173#95×C43—41no—
174#95×C43—41no—
175#95×C43—41no—
176#95×C43D414yescomplemented
177C24×C43—21no—
178C24×C43—21no—
179C24×C43—21no—
180C24×C43—21no—
181C24×C43—21no—
182C24×C43—21no—
183C24×C43—21no—
184C24×C43—21no—
185C24×C43—21no—
186C24×C43—21no—
187C24×C43—21no—
188C24×C43—21no—
189C24×C43—21no—
190C24×C43—21no—
191C24×C43—21no—
192C24×C43—21no—
193C24×C43—21no—
194C24×C43—21no—
195C24×C43—21no—
196C24×C43—21no—
197C24×C43—21no—
198C24×C43—21no—
199C24×C43—21no—
200C24×C43—21no—
201C24×C43—21no—
202C24×C43—21no—
203C24×C43—21no—
204C24×C43—21no—
205C24×C43—21no—
206C24×C43—21no—
207C24×C43—21no—
208C24×C43—21no—
209C24×C43—21no—
210C24×C43—21no—
211C24×C43—21no—
212C24×C43—21no—
213C24×C43—21no—
214C24×C43—21no—
215C24×C43—21no—
216C24×C43—21no—
217C24×C43—21no—
218C24×C43—21no—
219C24×C43—21no—
220C24×C43—21no—
221C24×C43—21no—
222C24×C43—21no—
223C24×C43—21no—
224C24×C43—21no—
225C24×C43—21no—
226C24×C43—21no—
227C24×C43—21no—
228C24×C43—21no—
229C24×C43—21no—
230C24×C43—21no—
231C24×C43—21no—
232C24×C43—21no—
233C24×C43C2×D412yes—
234C24×C43C2×D412yes—
235C24×C43C2×D412yes—
236C24×C43#4112yes—
237C24×C43C2411yescharacteristic
238C2×D4×C43—44no—
239C2×D4×C43—44no—
240C2×D4×C43—44no—
241C2×D4×C43—44no—
242C2×D4×C43—44no—
243C2×D4×C43—44no—
244C2×D4×C43—44no—
245C2×D4×C43—44no—
246C2×D4×C43—44no—
247C2×D4×C43—44no—
248C2×D4×C43—44no—
249C2×D4×C43—44no—
250C2×D4×C43—44no—
251C2×D4×C43—44no—
252C2×D4×C43—44no—
253C2×D4×C43—44no—
254C2×D4×C43—44no—
255C2×D4×C43—44no—
256C2×D4×C43—44no—
257C2×D4×C43—44no—
258C2×D4×C43—44no—
259C2×D4×C43—44no—
260C2×D4×C43—44no—
261C2×D4×C43—44no—
262C2×D4×C43—44no—
263C2×D4×C43—44no—
264C2×D4×C43—44no—
265C2×D4×C43—44no—
266C2×D4×C43—44no—
267C2×D4×C43—44no—
268C2×D4×C43—44no—
269C2×D4×C43—44no—
270C2×D4×C43—44no—
271C2×D4×C43—44no—
272C2×D4×C43—44no—
273C2×D4×C43—44no—
274C2×D4×C43—44no—
275C2×D4×C43—44no—
276C2×D4×C43—44no—
277C2×D4×C43—44no—
278C2×D4×C43—44no—
279C2×D4×C43—44no—
280C22×C4×C43—21no—
281C22×C4×C43—21no—
282C22×C4×C43—21no—
283C22×C4×C43—21no—
284C22×C4×C43—21no—
285C22×C4×C43—21no—
286C22×C4×C43—21no—
287C22×C4×C43—21no—
288C22×C4×C43—21no—
289C22×C4×C43—21no—
290C22×C4×C43—21no—
291C22×C4×C43—21no—
292C22×C4×C43—21no—
293C22×C4×C43—21no—
294C22×C4×C43—21no—
295C22×C4×C43—21no—
296C22×C4×C43—21no—
297C22×C4×C43—21no—
298C22×C4×C43—21no—
299C22×C4×C43—21no—
300C22×C4×C43—21no—
301C22×C4×C43—21no—
302C22×C4×C43—21no—
303C22×C4×C43—21no—
304C22×C4×C43—21no—
305C22×C4×C43—21no—
306C22×C4×C43—21no—
307C22×C4×C43—21no—
308C22×C4×C43—21no—
309C22×C4×C43—21no—
310C22×C4×C43—21no—
311C22×C4×C43—21no—
312C22×C4×C43—21no—
313C22×C4×C43—21no—
314C22×C4×C43—21no—
315C22×C4×C43—21no—
316C22×C4×C43—21no—
317C22×C4×C43—21no—
318C22×C4×C43—21no—
319C22×C4×C43—21no—
320C22×C4×C43—21no—
321C22×C4×C43—21no—
322C22×C4×C43—21no—
323C22×C4×C43—21no—
324C22×C4×C43—21no—
325C22×C4×C43—21no—
326C22×C4×C43—21no—
327C22×C4×C43—21no—
328C22×C4×C43—21no—
329C22×C4×C43—21no—
330C22×C4×C43—21no—
331C22×C4×C43—21no—
332C22×C4×C43—21no—
333C22×C4×C43—21no—
334C22×C4×C43—21no—
335C22×C4×C43—21no—
336C22×C4×C43—21no—
337C22×C4×C43—21no—
338C22×C4×C43—21no—
339C22×C4×C43—21no—
340C22×C4×C43—21no—
341C22×C4×C43—21no—
342C22×C4×C43—21no—
343C22×C4×C43—21no—
344C22×C4×C43—21no—
345C22×C4×C43—21no—
346C22×C4×C43—21no—
347C22×C4×C43—21no—
348C22×C4×C43—21no—
349C22×C4×C43—21no—
350C22×C4×C43C2×D412yes—
351C22×C4×C43C2×D412yes—
352C22×C4×C43C2×D412yes—
353C22×C4×C43C2×D412yes—
354C22×C4×C43C2×D412yes—
355C22×C4×C43C2×D412yes—
356C22×C4×C43#4112yes—
357C4⋊C4×C43—44no—
358C22⋊C4×C43—44no—
359C22⋊C4×C43—44no—
360C22⋊C4×C43—44no—
361C22⋊C4×C43—44no—
362C22⋊C4×C43—44no—
363C22⋊C4×C43—44no—
364C22⋊C4×C43—44no—
365C22⋊C4×C43—44no—
366C22⋊C4×C43—44no—
367C22⋊C4×C43—44no—
368C22⋊C4×C43—44no—
369C22⋊C4×C43—44no—
370C22⋊C4×C43—44no—
371C22⋊C4×C43—44no—
372C22⋊C4×C43—44no—
373C22⋊C4×C43—44no—
374C23×C43—22no—
375C23×C43—22no—
376C23×C43—22no—
377C23×C43—22no—
378C23×C43—22no—
379C23×C43—22no—
380C23×C43—22no—
381C23×C43—22no—
382C23×C43—22no—
383C23×C43—22no—
384C23×C43—22no—
385C23×C43—22no—
386C23×C43—22no—
387C23×C43—22no—
388C23×C43—22no—
389C23×C43—22no—
390C23×C43—22no—
391C23×C43—22no—
392C23×C43—22no—
393C23×C43—22no—
394C23×C43—22no—
395C23×C43—22no—
396C23×C43—22no—
397C23×C43—22no—
398C23×C43—22no—
399C23×C43—22no—
400C23×C43—22no—
401C23×C43—22no—
402C23×C43—41no—
403C23×C43—41no—
404C23×C43—41no—
405C23×C43—41no—
406C23×C43—41no—
407C23×C43—41no—
408C23×C43—41no—
409C23×C43—41no—
410C23×C43—41no—
411C23×C43—41no—
412C23×C43—41no—
413C23×C43—41no—
414C23×C43—41no—
415C23×C43—41no—
416C23×C43—41no—
417C23×C43—41no—
418C23×C43—41no—
419C23×C43—41no—
420C23×C43—41no—
421C23×C43—41no—
422C23×C43—41no—
423C23×C43—41no—
424C23×C43—41no—
425C23×C43—41no—
426C23×C43—41no—
427C23×C43—41no—
428C23×C43—41no—
429C23×C43—41no—
430C23×C43—41no—
431C23×C43—41no—
432C23×C43—41no—
433C23×C43—41no—
434C23×C43—41no—
435C23×C43—41no—
436C23×C43—41no—
437C23×C43—41no—
438C23×C43—41no—
439C23×C43—41no—
440C23×C43—41no—
441C23×C43—41no—
442C23×C43—41no—
443C23×C43—41no—
444C23×C43—41no—
445C23×C43—41no—
446C23×C43—41no—
447C23×C43—41no—
448C23×C43—41no—
449C23×C43—41no—
450C23×C43—41no—
451C23×C43—41no—
452C23×C43—41no—
453C23×C43—41no—
454C23×C43—41no—
455C23×C43—41no—
456C23×C43—41no—
457C23×C43—41no—
458C23×C43—41no—
459C23×C43—41no—
460C23×C43—41no—
461C23×C43—41no—
462C23×C43—41no—
463C23×C43—41no—
464C23×C43—41no—
465C23×C43—41no—
466C23×C43—41no—
467C23×C43—41no—
468C23×C43—41no—
469C23×C43—41no—
470C23×C43—41no—
471C23×C43—41no—
472C23×C43—41no—
473C23×C43—41no—
474C23×C43—41no—
475C23×C43—41no—
476C23×C43—41no—
477C23×C43—41no—
478C23×C43—41no—
479C23×C43—41no—
480C23×C43—41no—
481C23×C43—41no—
482C23×C43—41no—
483C23×C43—41no—
484C23×C43—41no—
485C23×C43—41no—
486C23×C43—41no—
487C23×C43—41no—
488C23×C43—41no—
489C23×C43—41no—
490C23×C43—41no—
491C23×C43—41no—
492C23×C43—41no—
493C23×C43—41no—
494C23×C43—41no—
495C23×C43—41no—
496C23×C43—41no—
497C23×C43—41no—
498C23×C43—41no—
499C23×C43—41no—
500C23×C43—41no—
501C23×C43—41no—
502C23×C43—41no—
503C23×C43—41no—
504C23×C43—41no—
505C23×C43—41no—
506C23×C43—41no—
507C23×C43—41no—
508C23×C43—41no—
509C23×C43—41no—
510C23×C43—41no—
511C23×C43—41no—
512C23×C43—41no—
513C23×C43—41no—
514C23×C43C22×D411yescharacteristic
515C23×C43C22×D411yescharacteristic
516C23×C43C22×D411yescharacteristic
517C23×C43C2×#4111yescharacteristic
518C23×C43C2×#4111yescharacteristic
519C23×C43H(5,𝔽2)11yescharacteristic
520C23×C43H(5,𝔽2)11yescharacteristic
521C23×C43H(5,𝔽2)11yescharacteristic
522C23×C43H(5,𝔽2)11yescharacteristic
523C23×C43H(5,𝔽2)11yescharacteristic
524C23×C43H(5,𝔽2)11yescharacteristic
525C23×C43H(5,𝔽2)11yescharacteristic
526C23×C43H(5,𝔽2)11yescharacteristic
527C23×C43H(5,𝔽2)11yescharacteristic
528C23×C43H(5,𝔽2)11yescharacteristic
529D4×C43—416no—
530D4×C43—416no—
531D4×C43—416no—
532D4×C43—416no—
533D4×C43—416no—
534D4×C43—416no—
535C2×C4×C43—22no—
536C2×C4×C43—22no—
537C2×C4×C43—22no—
538C2×C4×C43—22no—
539C2×C4×C43—22no—
540C2×C4×C43—22no—
541C2×C4×C43—22no—
542C2×C4×C43—22no—
543C2×C4×C43—22no—
544C2×C4×C43—22no—
545C2×C4×C43—22no—
546C2×C4×C43—22no—
547C2×C4×C43—22no—
548C2×C4×C43—22no—
549C2×C4×C43—22no—
550C2×C4×C43—22no—
551C2×C4×C43—22no—
552C2×C4×C43—22no—
553C2×C4×C43—22no—
554C2×C4×C43—22no—
555C2×C4×C43—22no—
556C2×C4×C43—41no—
557C2×C4×C43—41no—
558C2×C4×C43—41no—
559C2×C4×C43—41no—
560C2×C4×C43—41no—
561C2×C4×C43—41no—
562C2×C4×C43—41no—
563C2×C4×C43—41no—
564C2×C4×C43—41no—
565C2×C4×C43—41no—
566C2×C4×C43—41no—
567C2×C4×C43—41no—
568C2×C4×C43—41no—
569C2×C4×C43—41no—
570C2×C4×C43—41no—
571C2×C4×C43—41no—
572C2×C4×C43—41no—
573C2×C4×C43—41no—
574C2×C4×C43—41no—
575C2×C4×C43—41no—
576C2×C4×C43—41no—
577C2×C4×C43—41no—
578C2×C4×C43—41no—
579C2×C4×C43—41no—
580C2×C4×C43—41no—
581C2×C4×C43—41no—
582C2×C4×C43—41no—
583C2×C4×C43—41no—
584C2×C4×C43—41no—
585C2×C4×C43—41no—
586C2×C4×C43—41no—
587C2×C4×C43—41no—
588C2×C4×C43—41no—
589C2×C4×C43—41no—
590C2×C4×C43—41no—
591C2×C4×C43—41no—
592C2×C4×C43—41no—
593C2×C4×C43—41no—
594C2×C4×C43—41no—
595C2×C4×C43—41no—
596C2×C4×C43—41no—
597C2×C4×C43—41no—
598C2×C4×C43—41no—
599C2×C4×C43—41no—
600C2×C4×C43—41no—
601C2×C4×C43—41no—
602C2×C4×C43—41no—
603C2×C4×C43—41no—
604C2×C4×C43—41no—
605C2×C4×C43—41no—
606C2×C4×C43—41no—
607C2×C4×C43—41no—
608C2×C4×C43—41no—
609C2×C4×C43—41no—
610C2×C4×C43—41no—
611C2×C4×C43—41no—
612#17086C4311yesmaximal, characteristic, direct product factor, Sylow
613C22×C43—42no—
614C22×C43—42no—
615C22×C43—42no—
616C22×C43—42no—
617C22×C43—42no—
618C22×C43—42no—
619C22×C43—42no—
620C22×C43—42no—
621C22×C43—42no—
622C22×C43—42no—
623C22×C43—42no—
624C22×C43—42no—
625C22×C43—42no—
626C22×C43—42no—
627C22×C43—42no—
628C22×C43—42no—
629C22×C43—42no—
630C22×C43—42no—
631C22×C43—42no—
632C22×C43—42no—
633C22×C43—42no—
634C22×C43—42no—
635C22×C43—42no—
636C22×C43—42no—
637C22×C43—42no—
638C22×C43—42no—
639C22×C43—42no—
640C22×C43—42no—
641C22×C43—81no—
642C22×C43—81no—
643C22×C43—81no—
644C22×C43—81no—
645C22×C43—81no—
646C22×C43—81no—
647C22×C43—81no—
648C22×C43—81no—
649C22×C43—81no—
650C22×C43—81no—
651C22×C43—81no—
652C22×C43—81no—
653C22×C43—81no—
654C22×C43—81no—
655C22×C43—81no—
656C22×C43—81no—
657C22×C43—81no—
658C22×C43—81no—
659C22×C43—81no—
660C22×C43—81no—
661C22×C43—81no—
662C22×C43—81no—
663C22×C43—81no—
664C22×C43—81no—
665C22×C43—81no—
666C22×C43—81no—
667C22×C43—81no—
668C22×C43—81no—
669C22×C43—81no—
670C22×C43—81no—
671C22×C43—81no—
672C22×C43—81no—
673C22×C43#53411yescharacteristic
674C22×C43#53411yescharacteristic
675C22×C43#53411yescharacteristic
676C22×C43#53411yescharacteristic
677C22×C43#53511yescharacteristic
678C22×C43#53511yescharacteristic
679C22×C43#53511yescharacteristic
680C22×C43#53511yescharacteristic
681C22×C43#53511yescharacteristic
682C22×C43#53811yescharacteristic
683C22×C43#53811yescharacteristic
684C22×C43#53811yescharacteristic
685C22×C43#53811yescharacteristic
686C22×C43#54011yescharacteristic
687C22×C43#54011yescharacteristic
688C22×C43D4211yescharacteristic
689C22×C43D4211yescharacteristic
690C22×C43D4211yescharacteristic
691C22×C43#54611yescharacteristic
692C22×C43#54611yescharacteristic
693C22×C43#54611yescharacteristic
694C22×C43#54611yescharacteristic
695C22×C43#54611yescharacteristic
696C22×C43#55011yescharacteristic
697C22×C43#55311yescharacteristic
698C22×C43#56011yescharacteristic
699C22×C43#56011yescharacteristic
700C22×C43#56011yescharacteristic
701C22×C43#56011yescharacteristic
702C22×C43#56011yescharacteristic
703C22×C43#56011yescharacteristic
704C22×C43#56011yescharacteristic
705C22×C43#56011yescharacteristic
706C22×C43#56011yescharacteristic
707C22×C43H(3,𝔽4)11yescharacteristic
708C4×C43—42no—
709C4×C43—42no—
710C4×C43—42no—
711C4×C43—42no—
712C4×C43—42no—
713C4×C43—42no—
714C4×C43—42no—
715C4×C43—81no—
716C4×C43—81no—
717C4×C43—81no—
718C4×C43—81no—
719C2×#397C2×C4311yescharacteristic, complemented
720C2×#394C2×C4311yescharacteristic, complemented
721C2×#392C2×C4311yescharacteristic, complemented
722C2×#392C2×C4311yescharacteristic, complemented
723C2×#392C2×C4311yescharacteristic, complemented
724C2×#392C2×C4311yescharacteristic, complemented
725#1443C2×C4311yescharacteristic, complemented
726#1440C2×C4311yescharacteristic, complemented
727#1440C2×C4311yescharacteristic, complemented
728#1439C2×C4311yescharacteristic, complemented
729#1438C2×C4311yescharacteristic, complemented
730#1438C2×C4311yescharacteristic, complemented
731#1438C2×C4311yescharacteristic, complemented
732#1438C2×C4311yescharacteristic, complemented
733#1438C2×C4311yescharacteristic, complemented
734C2×C43—82no—
735C2×C43—82no—
736C2×C43—82no—
737C2×C43—82no—
738C2×C43#266811yescharacteristic
739C2×C43#266911yescharacteristic
740C2×C43#267011yescharacteristic
741C2×C43#267311yescharacteristic
742C2×C43#267311yescharacteristic
743C2×C43#267811yescharacteristic
744C2×C43#267811yescharacteristic
745C2×C43#268811yescharacteristic
746C2×C43#270311yescharacteristic
747C2×C43#271411yescharacteristic
748C2×C43#281211yescharacteristic
749C2×C43#281511yescharacteristic
750C2×C43#281811yescharacteristic
751C2×C43#282511yescharacteristic
752C2×C43#282811yescharacteristic
753C23×D4C22×C4311yescharacteristic
754C23×D4C22×C4311yescharacteristic
755C23×D4C22×C4311yescharacteristic
756C23×D4C22×C4311yescharacteristic
757C23×D4C22×C4311yescharacteristic
758C23×D4C22×C4311yescharacteristic
759C22×C4⋊C4C22×C4311yescharacteristic
760C22×C22⋊C4C22×C4311yescharacteristic
761C22×C22⋊C4C22×C4311yescharacteristic
762C22×C22⋊C4C22×C4311yescharacteristic
763C22×C22⋊C4C22×C4311yescharacteristic
764C22×C22⋊C4C22×C4311yescharacteristic
765C22×C22⋊C4C22×C4311yescharacteristic
766C22×C22⋊C4C22×C4311yescharacteristic
767C22×C22⋊C4C22×C4311yescharacteristic
768C22×C22⋊C4C22×C4311yescharacteristic
769C22×C22⋊C4C22×C4311yescharacteristic
770C22×C22⋊C4C22×C4311yescharacteristic
771C22×C22⋊C4C22×C4311yescharacteristic
772C22×C22⋊C4C22×C4311yescharacteristic
773C22×C22⋊C4C22×C4311yescharacteristic
774C22×C22⋊C4C22×C4311yescharacteristic
775C22×C22⋊C4C22×C4311yescharacteristic
776#397—24no—
777#394—24no—
778#392—24no—
779#392—24no—
780#392—24no—
781#392—24no—
782C2×#95C22×C4311yescharacteristic
783C2×#95C22×C4311yescharacteristic
784C2×#95C22×C4311yescharacteristic
785C2×#95C22×C4311yescharacteristic
786C2×#95C22×C4311yescharacteristic
787C2×#95C22×C4311yescharacteristic
788C2×#95C22×C4311yescharacteristic
789C2×#95C22×C4311yescharacteristic
790C2×#95C22×C4311yescharacteristic
791C2×#95C22×C4311yescharacteristic
792C2×#95C22×C4311yescharacteristic
793C2×#95C22×C4311yescharacteristic
794C43#1708611yescharacteristic, direct product factor, Sylow
795C25C23×C4311yescharacteristic
796C25C23×C4311yescharacteristic
797C25C23×C4311yescharacteristic
798C25C23×C4311yescharacteristic
799C22×D4—22no—
800C22×D4—22no—
801C22×D4—22no—
802C22×D4—22no—
803C22×D4—22no—
804C22×D4—22no—
805C22×D4—22no—
806C22×D4—22no—
807C22×D4—22no—
808C22×D4—22no—
809C22×D4—22no—
810C22×D4—22no—
811C22×D4—22no—
812C22×D4—22no—
813C22×D4—22no—
814C22×D4—41no—
815C22×D4—41no—
816C22×D4—41no—
817C22×D4—41no—
818C22×D4—41no—
819C22×D4—41no—
820C22×D4—41no—
821C22×D4—41no—
822C22×D4—41no—
823C22×D4—41no—
824C22×D4—41no—
825C22×D4—41no—
826C22×D4—41no—
827C22×D4—41no—
828C22×D4—41no—
829C22×D4—41no—
830C22×D4—41no—
831C22×D4—41no—
832C22×D4—41no—
833C22×D4—41no—
834C22×D4—41no—
835C22×D4—41no—
836C22×D4—41no—
837C22×D4—41no—
838C22×D4—41no—
839C22×D4—41no—
840C22×D4D4×C4314yescomplemented
841C23×C4C23×C4311yescharacteristic
842C23×C4C23×C4311yescharacteristic
843C23×C4C23×C4311yescharacteristic
844C23×C4C23×C4311yescharacteristic
845C23×C4C23×C4311yescharacteristic
846C23×C4C23×C4311yescharacteristic
847C23×C4C23×C4311yescharacteristic
848C23×C4C23×C4311yescharacteristic
849C23×C4C23×C4311yescharacteristic
850C23×C4C23×C4311yescharacteristic
851C23×C4C23×C4311yescharacteristic
852C2×C4⋊C4—22no—
853C2×C4⋊C4—22no—
854C2×C4⋊C4—41no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—22no—
858C2×C22⋊C4—22no—
859C2×C22⋊C4—22no—
860C2×C22⋊C4—22no—
861C2×C22⋊C4—22no—
862C2×C22⋊C4—22no—
863C2×C22⋊C4—22no—
864C2×C22⋊C4—22no—
865C2×C22⋊C4—22no—
866C2×C22⋊C4—22no—
867C2×C22⋊C4—22no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—22no—
873C2×C22⋊C4—22no—
874C2×C22⋊C4—41no—
875C2×C22⋊C4—41no—
876C2×C22⋊C4—41no—
877C2×C22⋊C4—41no—
878C2×C22⋊C4—41no—
879C2×C22⋊C4—41no—
880C2×C22⋊C4—41no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C22⋊C4—41no—
884C2×C22⋊C4—41no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4D4×C4314yescomplemented
903#95—22no—
904#95—22no—
905#95—22no—
906#95—22no—
907#95—22no—
908#95—22no—
909#95—41no—
910#95—41no—
911#95—41no—
912#95—41no—
913#95—41no—
914#95D4×C4314yescomplemented
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—21no—
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
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—
971C24C2×D4×C4312yes—
972C24C2×D4×C4312yes—
973C24C2×D4×C4312yes—
974C24#41×C4312yes—
975C24C24×C4311yescharacteristic
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—44no—
987C2×D4—44no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—44no—
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—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
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×C4C2×D4×C4312yes—
1089C22×C4C2×D4×C4312yes—
1090C22×C4C2×D4×C4312yes—
1091C22×C4C2×D4×C4312yes—
1092C22×C4C2×D4×C4312yes—
1093C22×C4C2×D4×C4312yes—
1094C22×C4#41×C4312yes—
1095C4⋊C4—44no—
1096C22⋊C4—44no—
1097C22⋊C4—44no—
1098C22⋊C4—44no—
1099C22⋊C4—44no—
1100C22⋊C4—44no—
1101C22⋊C4—44no—
1102C22⋊C4—44no—
1103C22⋊C4—44no—
1104C22⋊C4—44no—
1105C22⋊C4—44no—
1106C22⋊C4—44no—
1107C22⋊C4—44no—
1108C22⋊C4—44no—
1109C22⋊C4—44no—
1110C22⋊C4—44no—
1111C22⋊C4—44no—
1112C23—22no—
1113C23—22no—
1114C23—22no—
1115C23—22no—
1116C23—22no—
1117C23—22no—
1118C23—22no—
1119C23—22no—
1120C23—22no—
1121C23—22no—
1122C23—22no—
1123C23—22no—
1124C23—22no—
1125C23—22no—
1126C23—22no—
1127C23—22no—
1128C23—22no—
1129C23—22no—
1130C23—22no—
1131C23—22no—
1132C23—22no—
1133C23—22no—
1134C23—22no—
1135C23—22no—
1136C23—22no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—41no—
1141C23—41no—
1142C23—41no—
1143C23—41no—
1144C23—41no—
1145C23—41no—
1146C23—41no—
1147C23—41no—
1148C23—41no—
1149C23—41no—
1150C23—41no—
1151C23—41no—
1152C23—41no—
1153C23—41no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
1175C23—41no—
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—
1252C23C22×D4×C4311yescharacteristic
1253C23C22×D4×C4311yescharacteristic
1254C23C22×D4×C4311yescharacteristic
1255C23C2×#41×C4311yescharacteristic
1256C23C2×#41×C4311yescharacteristic
1257C23H(5,𝔽2)×C4311yescharacteristic
1258C23H(5,𝔽2)×C4311yescharacteristic
1259C23H(5,𝔽2)×C4311yescharacteristic
1260C23H(5,𝔽2)×C4311yescharacteristic
1261C23H(5,𝔽2)×C4311yescharacteristic
1262C23H(5,𝔽2)×C4311yescharacteristic
1263C23H(5,𝔽2)×C4311yescharacteristic
1264C23H(5,𝔽2)×C4311yescharacteristic
1265C23H(5,𝔽2)×C4311yescharacteristic
1266C23H(5,𝔽2)×C4311yescharacteristic
1267D4—416no—
1268D4—416no—
1269D4—416no—
1270D4—416no—
1271D4—416no—
1272D4—416no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—22no—
1276C2×C4—22no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—22no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
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—
1350C22—42no—
1351C22—42no—
1352C22—42no—
1353C22—42no—
1354C22—42no—
1355C22—42no—
1356C22—42no—
1357C22—42no—
1358C22—42no—
1359C22—42no—
1360C22—42no—
1361C22—42no—
1362C22—42no—
1363C22—42no—
1364C22—42no—
1365C22—42no—
1366C22—42no—
1367C22—42no—
1368C22—42no—
1369C22—42no—
1370C22—42no—
1371C22—42no—
1372C22—42no—
1373C22—42no—
1374C22—42no—
1375C22—42no—
1376C22—42no—
1377C22—42no—
1378C22—81no—
1379C22—81no—
1380C22—81no—
1381C22—81no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—81no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22C43×#53411yescharacteristic
1411C22C43×#53411yescharacteristic
1412C22C43×#53411yescharacteristic
1413C22C43×#53411yescharacteristic
1414C22C43×#53511yescharacteristic
1415C22C43×#53511yescharacteristic
1416C22C43×#53511yescharacteristic
1417C22C43×#53511yescharacteristic
1418C22C43×#53511yescharacteristic
1419C22C43×#53811yescharacteristic
1420C22C43×#53811yescharacteristic
1421C22C43×#53811yescharacteristic
1422C22C43×#53811yescharacteristic
1423C22C43×#54011yescharacteristic
1424C22C43×#54011yescharacteristic
1425C22D42×C4311yescharacteristic
1426C22D42×C4311yescharacteristic
1427C22D42×C4311yescharacteristic
1428C22C43×#54611yescharacteristic
1429C22C43×#54611yescharacteristic
1430C22C43×#54611yescharacteristic
1431C22C43×#54611yescharacteristic
1432C22C43×#54611yescharacteristic
1433C22C43×#55011yescharacteristic
1434C22C43×#55311yescharacteristic
1435C22C43×#56011yescharacteristic
1436C22C43×#56011yescharacteristic
1437C22C43×#56011yescharacteristic
1438C22C43×#56011yescharacteristic
1439C22C43×#56011yescharacteristic
1440C22C43×#56011yescharacteristic
1441C22C43×#56011yescharacteristic
1442C22C43×#56011yescharacteristic
1443C22C43×#56011yescharacteristic
1444C22C43×H(3,𝔽4)11yescharacteristic
1445C4—42no—
1446C4—42no—
1447C4—42no—
1448C4—42no—
1449C4—42no—
1450C4—42no—
1451C4—42no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C2—82no—
1457C2—82no—
1458C2—82no—
1459C2—82no—
1460C2C43×#266811yescharacteristic
1461C2C43×#266911yescharacteristic
1462C2C43×#267011yescharacteristic
1463C2C43×#267311yescharacteristic
1464C2C43×#267311yescharacteristic
1465C2C43×#267811yescharacteristic
1466C2C43×#267811yescharacteristic
1467C2C43×#268811yescharacteristic
1468C2C43×#270311yescharacteristic
1469C2C43×#271411yescharacteristic
1470C2C43×#281211yescharacteristic
1471C2C43×#281511yescharacteristic
1472C2C43×#281811yescharacteristic
1473C2C43×#282511yescharacteristic
1474C2C43×#282811yescharacteristic
subgroupG/H
center, socleC24×C43C24
commutator, Frattini, cosocleC24C24×C43
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C43×#397C2semidirect
2. C2×C43×#394C2semidirect
3. C2×C43×#392C2semidirect
4. C2×C43×#392C2semidirect
5. C2×C43×#392C2semidirect
6. C2×C43×#392C2semidirect
7. C43×#1443C2semidirect
8. C43×#1440C2semidirect
9. C43×#1440C2semidirect
10. C43×#1439C2semidirect
11. C43×#1438C2semidirect
12. C43×#1438C2semidirect
13. C43×#1438C2semidirect
14. C43×#1438C2semidirect
15. C43×#1438C2semidirect
102. C22×D4×C43D4semidirect
164. C2×C22⋊C4×C43D4semidirect
176. #95×C43D4semidirect
612. #17086C43direct (N × H)
719. C2×#397C2×C43semidirect
720. C2×#394C2×C43semidirect
721. C2×#392C2×C43semidirect
722. C2×#392C2×C43semidirect
723. C2×#392C2×C43semidirect
724. C2×#392C2×C43semidirect
725. #1443C2×C43semidirect
726. #1440C2×C43semidirect
727. #1440C2×C43semidirect
728. #1439C2×C43semidirect
729. #1438C2×C43semidirect
730. #1438C2×C43semidirect
731. #1438C2×C43semidirect
732. #1438C2×C43semidirect
733. #1438C2×C43semidirect
794. C43#17086direct (N × H)
840. C22×D4D4×C43semidirect
902. C2×C22⋊C4D4×C43semidirect
914. #95D4×C43semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#3972
C2×C43×#3942
C2×C43×#3922
C43×#14432
C43×#14402
C43×#14392
C43×#14382
#1708643