Finite Group Databasebeta

← C43×#62028 #24982045

Subgroups — C43×#62028 #24982045

Order 11008.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3562C211yesmaximal, characteristic, complemented
2C43×#3513C211yesmaximal, characteristic, complemented
3C43×#3403C211yesmaximal, characteristic, complemented
4C43×#3394C211yesmaximal, characteristic, complemented
5C43×#3376C211yesmaximal, characteristic, complemented
6C43×#3361C211yesmaximal, characteristic, complemented
7C43×#3332C211yesmaximal, characteristic, complemented
8C43×#3323C211yesmaximal, characteristic, complemented
9C43×#3322C211yesmaximal, characteristic, complemented
10C43×#3315C211yesmaximal, characteristic, complemented
11C43×#3308C211yesmaximal, characteristic, complemented
12C43×#3301C211yesmaximal, characteristic, complemented
13C43×#3280C211yesmaximal, characteristic, complemented
14C43×#3275C211yesmaximal, characteristic, complemented
15C43×#3275C211yesmaximal, characteristic, complemented
16C43×#3272C211yesmaximal, characteristic, complemented
17C43×#3268C211yesmaximal, characteristic, complemented
18C43×#3264C211yesmaximal, characteristic, complemented
19C43×#3259C211yesmaximal, characteristic, complemented
20C43×#3258C211yesmaximal, characteristic, complemented
21C43×#3256C211yesmaximal, characteristic, complemented
22C43×#3224C211yesmaximal, characteristic, complemented
23C43×#3221C211yesmaximal, characteristic, complemented
24C43×#3212C211yesmaximal, characteristic, complemented
25C43×#3123C211yesmaximal, characteristic, complemented
26C43×#3119C211yesmaximal, characteristic, complemented
27C43×#3105C211yesmaximal, characteristic, complemented
28C43×#3046C211yesmaximal, characteristic, complemented
29C43×#3041C211yesmaximal, characteristic, complemented
30C43×#3036C211yesmaximal, characteristic, complemented
31C43×#2993C211yesmaximal, characteristic, complemented
32C2×#137×C43C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
34C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
35C2×AGL(1,ℤ/8)×C43C2211yescharacteristic, complemented
36C2×#135×C43C2211yescharacteristic
37C22×D8×C43C2211yescharacteristic
38C43×#562—21no—
39C43×#560—21no—
40C43×#559C2211yescharacteristic, complemented
41C43×#559C2211yescharacteristic, complemented
42C43×#556C2211yescharacteristic, complemented
43C43×#554C2211yescharacteristic, complemented
44C43×#553—21no—
45C43×#553—21no—
46C43×#553C2211yescharacteristic
47C43×#552C2211yescharacteristic
48C43×#551—21no—
49C43×#551—21no—
50C43×#551—21no—
51C43×#550C2211yescharacteristic, complemented
52C43×#548C2211yescharacteristic, complemented
53C43×#548C2211yescharacteristic, complemented
54C43×#547C2211yescharacteristic
55C43×#547C2211yescharacteristic, complemented
56C43×#546—21no—
57C43×#546C2211yescharacteristic
58C43×#546C2211yescharacteristic
59C43×#546C2211yescharacteristic, complemented
60C43×#546C2211yescharacteristic, complemented
61D42×C43C2211yescharacteristic
62C43×#542C2211yescharacteristic
63C43×#541C2211yescharacteristic, complemented
64C43×#540—21no—
65C43×#540C2211yescharacteristic, complemented
66C43×#540C2211yescharacteristic, complemented
67C43×#539—21no—
68C43×#539—21no—
69C43×#538—21no—
70C43×#538—21no—
71C43×#538—21no—
72C43×#536C2211yescharacteristic, complemented
73C43×#535C2211yescharacteristic, complemented
74C43×#532C2211yescharacteristic, complemented
75C43×#529C2211yescharacteristic
76C43×#529C2211yescharacteristic, complemented
77C43×#529C2211yescharacteristic, complemented
78C43×#525—21no—
79C2×#123×C43—21no—
80C43×#520C2211yescharacteristic, complemented
81C43×#518C2211yescharacteristic
82C2×C4×D4×C43C2211yescharacteristic, complemented
83C43×#496C2211yescharacteristic
84C43×#496C2211yescharacteristic, complemented
85C43×#495C2211yescharacteristic, complemented
86C43×#495C2211yescharacteristic, complemented
87C43×#495C2211yescharacteristic, complemented
88C43×#492C2211yescharacteristic, complemented
89C43×#491C2211yescharacteristic, complemented
90C43×#489C2211yescharacteristic, complemented
91C43×#488C2211yescharacteristic, complemented
92C43×#488C2211yescharacteristic, complemented
93C43×#488C2211yescharacteristic, complemented
94C43×#486C2211yescharacteristic, complemented
95C43×#485C2211yescharacteristic, complemented
96C43×#485C2211yescharacteristic, complemented
97C43×#484C2211yescharacteristic, complemented
98C43×#481C2211yescharacteristic, complemented
99C43×#481C2211yescharacteristic, complemented
100C43×#480C2211yescharacteristic, complemented
101C43×#479C2211yescharacteristic, complemented
102C43×#479C2211yescharacteristic, complemented
103C43×#478C2211yescharacteristic, complemented
104C43×#478C2211yescharacteristic, complemented
105C43×#478C2211yescharacteristic, complemented
106C43×#478C2211yescharacteristic, complemented
107C43×#478C2211yescharacteristic, complemented
108C43×#478C2211yescharacteristic, complemented
109C43×#477C2211yescharacteristic, complemented
110C43×#475C2211yescharacteristic, complemented
111C43×#470C2211yescharacteristic, complemented
112C43×#470C2211yescharacteristic, complemented
113C43×#469C2211yescharacteristic
114C43×#469C2211yescharacteristic, complemented
115C43×#469C2211yescharacteristic, complemented
116C43×#468C2211yescharacteristic
117C43×#468C2211yescharacteristic, complemented
118C43×#468C2211yescharacteristic, complemented
119C43×#467C2211yescharacteristic, complemented
120C43×#466C2211yescharacteristic, complemented
121C43×#466C2211yescharacteristic, complemented
122C43×#465C2211yescharacteristic
123C43×#464C2211yescharacteristic, complemented
124C43×#464C2211yescharacteristic, complemented
125C43×#464C2211yescharacteristic, complemented
126C43×#464C2211yescharacteristic, complemented
127C43×#464C2211yescharacteristic, complemented
128C43×#463C2211yescharacteristic
129C43×#463C2211yescharacteristic
130C43×#463C2211yescharacteristic
131C43×#463C2211yescharacteristic
132C43×#463C2211yescharacteristic, complemented
133C43×#463C2211yescharacteristic, complemented
134C43×#463C2211yescharacteristic, complemented
135C43×#463C2211yescharacteristic, complemented
136C43×#463C2211yescharacteristic, complemented
137C43×#463C2211yescharacteristic, complemented
138C43×#463C2211yescharacteristic, complemented
139C43×#462C2211yescharacteristic, complemented
140C43×#462C2211yescharacteristic, complemented
141C43×#461C2211yescharacteristic, complemented
142C43×#461C2211yescharacteristic, complemented
143C43×#461C2211yescharacteristic, complemented
144C43×#461C2211yescharacteristic, complemented
145C43×#460C2211yescharacteristic, complemented
146C43×#459C2211yescharacteristic
147C43×#459C2211yescharacteristic
148C43×#459C2211yescharacteristic
149C43×#459C2211yescharacteristic, complemented
150C43×#459C2211yescharacteristic, complemented
151C43×#459C2211yescharacteristic, complemented
152C43×#459C2211yescharacteristic, complemented
153C43×#452C2211yescharacteristic, complemented
154C43×#452C2211yescharacteristic, complemented
155C43×#452C2211yescharacteristic, complemented
156C43×#450C2211yescharacteristic
157C43×#450C2211yescharacteristic
158C43×#450C2211yescharacteristic, complemented
159C43×#450C2211yescharacteristic, complemented
160C43×#449C2211yescharacteristic
161C43×#449C2211yescharacteristic
162C43×#449C2211yescharacteristic
163C43×#449C2211yescharacteristic, complemented
164C43×#449C2211yescharacteristic, complemented
165C43×#449C2211yescharacteristic, complemented
166C43×#449C2211yescharacteristic, complemented
167C43×#448C2211yescharacteristic, complemented
168C43×#448C2211yescharacteristic, complemented
169C43×#447C2211yescharacteristic
170C43×#447C2211yescharacteristic
171C43×#446C2211yescharacteristic, complemented
172C8×Q8×C43C2211yescharacteristic, complemented
173C43×#442C2211yescharacteristic
174C43×#440C2211yescharacteristic, complemented
175C43×#440C2211yescharacteristic, complemented
176C43×#440C2211yescharacteristic, complemented
177C4×SD16×C43C2211yescharacteristic, complemented
178C4×SD16×C43C2211yescharacteristic, complemented
179C4×SD16×C43C2211yescharacteristic, complemented
180C4×SD16×C43C2211yescharacteristic, complemented
181C4×SD16×C43C2211yescharacteristic, complemented
182C4×D8×C43C2211yescharacteristic
183C4×D8×C43C2211yescharacteristic, complemented
184C4×D8×C43C2211yescharacteristic, complemented
185C43×#436C2211yescharacteristic
186C43×#436C2211yescharacteristic, complemented
187C43×#436C2211yescharacteristic, complemented
188C43×#435C2211yescharacteristic
189C43×#435C2211yescharacteristic, complemented
190C8×D4×C43C2211yescharacteristic, complemented
191C43×#433C2211yescharacteristic, complemented
192C43×#433C2211yescharacteristic, complemented
193C43×#431C2211yescharacteristic, complemented
194C43×#424C2211yescharacteristic, complemented
195C43×#424C2211yescharacteristic, complemented
196C43×#423C2211yescharacteristic, complemented
197C43×#418C2211yescharacteristic, complemented
198C43×#417C2211yescharacteristic, complemented
199C43×#417C2211yescharacteristic, complemented
200C43×#417C2211yescharacteristic, complemented
201C43×#416C2211yescharacteristic, complemented
202C2×#103×C43C2211yescharacteristic, complemented
203C2×#41×C43—21no—
204C2×#41×C43C2311yescharacteristic
205C2×#41×C43C2311yescharacteristic
206C2×#41×C43C2311yescharacteristic
207C2×#41×C43C2311yescharacteristic
208C2×#41×C43C2311yescharacteristic
209C22×Q8×C43C2311yescharacteristic
210C22×D4×C43—21no—
211C22×D4×C43C2311yescharacteristic
212C22×D4×C43C2311yescharacteristic
213C22×D4×C43C2311yescharacteristic
214C23×C4×C43—21no—
215#137×C43—42no—
216AGL(1,ℤ/8)×C43—42no—
217AGL(1,ℤ/8)×C43—42no—
218AGL(1,ℤ/8)×C43—42no—
219#135×C43—42no—
220C2×Q16×C43C2311yescharacteristic
221C2×Q16×C43C2311yescharacteristic
222C2×Q16×C43C2311yescharacteristic
223C2×SD16×C43C2311yescharacteristic
224C2×SD16×C43C2311yescharacteristic
225C2×SD16×C43C2311yescharacteristic
226C2×SD16×C43C2311yescharacteristic
227C2×SD16×C43C2311yescharacteristic
228C2×SD16×C43C2311yescharacteristic
229C2×SD16×C43C2311yescharacteristic
230C2×SD16×C43C2311yescharacteristic
231C2×SD16×C43C2311yescharacteristic
232C2×SD16×C43C2311yescharacteristic
233C2×SD16×C43C2311yescharacteristic
234C2×SD16×C43C2311yescharacteristic
235C2×D8×C43—42no—
236C2×D8×C43C2311yescharacteristic
237C2×D8×C43C2311yescharacteristic
238C2×D8×C43C2311yescharacteristic
239C2×D8×C43C2311yescharacteristic
240C2×D8×C43C2311yescharacteristic
241C2×D8×C43C2311yescharacteristic
242C2×D8×C43C2311yescharacteristic
243C2×D8×C43C2311yescharacteristic
244C2×D8×C43C2311yescharacteristic
245C2×M16×C43C2311yescharacteristic
246C2×M16×C43C2311yescharacteristic
247C2×M16×C43C2311yescharacteristic
248C2×M16×C43C2311yescharacteristic
249C22×C8×C43C2311yescharacteristic
250C22×C8×C43C2311yescharacteristic
251C4⋊Q8×C43C2311yescharacteristic
252C4⋊Q8×C43C2311yescharacteristic
253C4⋊Q8×C43C2311yescharacteristic
254#127×C43—21no—
255#127×C43C2311yescharacteristic
256#127×C43C2311yescharacteristic
257#127×C43C2311yescharacteristic
258#126×C43—21no—
259#126×C43—21no—
260#126×C43—21no—
261#126×C43—21no—
262#126×C43—21no—
263#126×C43—21no—
264#126×C43—21no—
265#126×C43—21no—
266#126×C43—21no—
267#126×C43D411yescharacteristic
268#126×C43D411yescharacteristic
269#125×C43—21no—
270#125×C43—21no—
271#125×C43—21no—
272#125×C43D411yescharacteristic
273#125×C43C2311yescharacteristic
274#125×C43C2311yescharacteristic
275#125×C43C2311yescharacteristic
276#124×C43—21no—
277#124×C43—21no—
278#124×C43—21no—
279#124×C43—21no—
280#124×C43—21no—
281#124×C43D411yescharacteristic
282#124×C43C2311yescharacteristic
283#124×C43C2311yescharacteristic
284#124×C43C2311yescharacteristic
285#124×C43C2311yescharacteristic
286#124×C43C2311yescharacteristic
287#124×C43C2311yescharacteristic
288#124×C43C2311yescharacteristic
289#123×C43—21no—
290#123×C43—21no—
291#123×C43—21no—
292#123×C43—21no—
293#123×C43—21no—
294#123×C43—21no—
295#123×C43—21no—
296#123×C43—21no—
297#123×C43—21no—
298#123×C43—21no—
299#123×C43—21no—
300#123×C43—21no—
301#123×C43—21no—
302#123×C43—21no—
303#123×C43—21no—
304#123×C43—21no—
305#123×C43—21no—
306#123×C43—21no—
307#123×C43—21no—
308#123×C43—21no—
309#123×C43—21no—
310#123×C43—21no—
311#123×C43—21no—
312#123×C43D411yescharacteristic
313#123×C43D411yescharacteristic
314C22⋊Q8×C43—21no—
315C22⋊Q8×C43—21no—
316C22⋊Q8×C43—21no—
317C22⋊Q8×C43—21no—
318C22⋊Q8×C43—21no—
319C22⋊Q8×C43—21no—
320C22⋊Q8×C43—21no—
321C22⋊Q8×C43—21no—
322C22⋊Q8×C43—21no—
323C22⋊Q8×C43—21no—
324C22⋊Q8×C43D411yescharacteristic
325C22⋊Q8×C43C2311yescharacteristic
326C22⋊Q8×C43C2311yescharacteristic
327C22⋊Q8×C43C2311yescharacteristic
328C22⋊Q8×C43C2311yescharacteristic
329C22⋊Q8×C43C2311yescharacteristic
330#121×C43—21no—
331#121×C43—21no—
332#121×C43—21no—
333#121×C43—21no—
334#121×C43—21no—
335#121×C43—21no—
336#121×C43—21no—
337#121×C43—21no—
338#121×C43—21no—
339#121×C43—21no—
340#121×C43—21no—
341#121×C43—21no—
342#121×C43—21no—
343#121×C43—21no—
344#121×C43—21no—
345#121×C43—21no—
346#121×C43—21no—
347#121×C43—21no—
348#121×C43—21no—
349#121×C43D411yescharacteristic
350#121×C43C2311yescharacteristic
351#121×C43C2311yescharacteristic
352#121×C43C2311yescharacteristic
353#121×C43C2311yescharacteristic
354#121×C43C2311yescharacteristic
355#121×C43C2311yescharacteristic
356#121×C43C2311yescharacteristic
357#120×C43—21no—
358#120×C43—21no—
359#120×C43—21no—
360#120×C43—21no—
361#120×C43—21no—
362#120×C43—21no—
363#120×C43—21no—
364#120×C43—21no—
365C4×Q8×C43C2311yescharacteristic
366C4×Q8×C43C2311yescharacteristic
367C4×Q8×C43C2311yescharacteristic
368C4×Q8×C43C2311yescharacteristic
369C4×Q8×C43C2311yescharacteristic
370C4×Q8×C43C2311yescharacteristic
371C4×D4×C43—21no—
372C4×D4×C43—21no—
373C4×D4×C43—21no—
374C4×D4×C43—21no—
375C4×D4×C43—21no—
376C4×D4×C43—21no—
377C4×D4×C43—21no—
378C4×D4×C43—21no—
379C4×D4×C43—21no—
380C4×D4×C43—21no—
381C4×D4×C43—21no—
382C4×D4×C43—21no—
383C4×D4×C43—21no—
384C4×D4×C43—21no—
385C4×D4×C43—21no—
386C4×D4×C43—21no—
387C4×D4×C43C2311yescharacteristic
388C4×D4×C43C2311yescharacteristic
389C4×D4×C43C2311yescharacteristic
390C4×D4×C43C2311yescharacteristic
391C4×D4×C43C2311yescharacteristic
392C4×D4×C43C2311yescharacteristic
393C4×D4×C43C2311yescharacteristic
394C4×D4×C43C2311yescharacteristic
395C4×D4×C43C2311yescharacteristic
396C4×D4×C43C2311yescharacteristic
397C4×D4×C43C2311yescharacteristic
398C4×D4×C43C2311yescharacteristic
399C4×D4×C43C2311yescharacteristic
400C4×D4×C43C2311yescharacteristic
401#117×C43—21no—
402#117×C43—21no—
403#117×C43—21no—
404#117×C43—21no—
405#117×C43—21no—
406#117×C43C2311yescharacteristic
407#117×C43C2311yescharacteristic
408#117×C43C2311yescharacteristic
409C2×C4⋊C4×C43—21no—
410C2×C4⋊C4×C43—21no—
411C2×C4⋊C4×C43—21no—
412C2×C4⋊C4×C43C2311yescharacteristic
413C2×C4⋊C4×C43C2311yescharacteristic
414C2×C22⋊C4×C43—21no—
415C2×C22⋊C4×C43—21no—
416C2×C22⋊C4×C43—21no—
417C2×C22⋊C4×C43—21no—
418C2×C22⋊C4×C43—21no—
419C2×C22⋊C4×C43—21no—
420C2×C22⋊C4×C43—21no—
421C2×C42×C43C2311yescharacteristic
422#107×C43C2311yescharacteristic
423#107×C43C2311yescharacteristic
424#107×C43C2311yescharacteristic
425#107×C43C2311yescharacteristic
426#106×C43C2311yescharacteristic
427#106×C43C2311yescharacteristic
428#106×C43C2311yescharacteristic
429#106×C43C2311yescharacteristic
430C4⋊C8×C43C2311yescharacteristic
431C4⋊C8×C43C2311yescharacteristic
432C4⋊C8×C43C2311yescharacteristic
433C4⋊C8×C43C2311yescharacteristic
434C4⋊C8×C43C2311yescharacteristic
435C4⋊C8×C43C2311yescharacteristic
436C4⋊C8×C43C2311yescharacteristic
437C4⋊C8×C43C2311yescharacteristic
438C4⋊C8×C43C2311yescharacteristic
439C4⋊C8×C43C2311yescharacteristic
440#103×C43C2311yescharacteristic
441#103×C43C2311yescharacteristic
442#103×C43C2311yescharacteristic
443#103×C43C2311yescharacteristic
444#103×C43C2311yescharacteristic
445#103×C43C2311yescharacteristic
446#103×C43C2311yescharacteristic
447#103×C43C2311yescharacteristic
448#103×C43C2311yescharacteristic
449#103×C43C2311yescharacteristic
450#103×C43C2311yescharacteristic
451#103×C43C2311yescharacteristic
452#103×C43C2311yescharacteristic
453#103×C43C2311yescharacteristic
454#102×C43C2311yescharacteristic
455#102×C43C2311yescharacteristic
456#102×C43C2311yescharacteristic
457#102×C43C2311yescharacteristic
458#102×C43C2311yescharacteristic
459#102×C43C2311yescharacteristic
460#102×C43C2311yescharacteristic
461#102×C43C2311yescharacteristic
462#102×C43C2311yescharacteristic
463#102×C43C2311yescharacteristic
464#102×C43C2311yescharacteristic
465#102×C43C2311yescharacteristic
466#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472C22⋊C8×C43C2311yescharacteristic
473C22⋊C8×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C22⋊C8×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C4×C8×C43C2311yescharacteristic
482C4×C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C24×C43—21no—
485C24×C43—21no—
486C24×C43—21no—
487#41×C43—22no—
488#41×C43—41no—
489#41×C43—41no—
490#41×C43—41no—
491#41×C43—41no—
492#41×C43—41no—
493#41×C43—41no—
494#41×C43—41no—
495#41×C43—41no—
496#41×C43—41no—
497#41×C43—82no—
498C2×Q8×C43—21no—
499C2×Q8×C43—21no—
500C2×Q8×C43—41no—
501C2×Q8×C43—41no—
502C2×Q8×C43C2×D411yescharacteristic
503C2×Q8×C43C2411yescharacteristic
504C2×Q8×C43C2411yescharacteristic
505C2×Q8×C43C2411yescharacteristic
506C2×Q8×C43C2411yescharacteristic
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43—21no—
511C2×D4×C43—21no—
512C2×D4×C43—21no—
513C2×D4×C43—21no—
514C2×D4×C43—21no—
515C2×D4×C43—21no—
516C2×D4×C43—21no—
517C2×D4×C43—21no—
518C2×D4×C43—21no—
519C2×D4×C43—21no—
520C2×D4×C43—21no—
521C2×D4×C43—21no—
522C2×D4×C43—21no—
523C2×D4×C43—21no—
524C2×D4×C43—21no—
525C2×D4×C43—21no—
526C2×D4×C43—21no—
527C2×D4×C43—21no—
528C2×D4×C43—22no—
529C2×D4×C43—22no—
530C2×D4×C43—41no—
531C2×D4×C43—41no—
532C2×D4×C43—41no—
533C2×D4×C43—41no—
534C2×D4×C43—82no—
535C2×D4×C43C2×D411yescharacteristic
536C2×D4×C43C2×D411yescharacteristic
537C2×D4×C43C2×D411yescharacteristic
538C2×D4×C43C2411yescharacteristic
539C2×D4×C43C2411yescharacteristic
540C2×D4×C43C2411yescharacteristic
541C2×D4×C43C2411yescharacteristic
542C2×D4×C43C2411yescharacteristic
543C2×D4×C43C2411yescharacteristic
544C22×C4×C43—21no—
545C22×C4×C43—21no—
546C22×C4×C43—21no—
547C22×C4×C43—21no—
548C22×C4×C43—21no—
549C22×C4×C43—21no—
550C22×C4×C43—21no—
551C22×C4×C43—21no—
552C22×C4×C43—21no—
553C22×C4×C43—21no—
554C22×C4×C43—21no—
555C22×C4×C43—21no—
556C22×C4×C43—21no—
557C22×C4×C43—21no—
558C22×C4×C43—21no—
559C22×C4×C43—21no—
560C22×C4×C43—21no—
561C22×C4×C43—21no—
562C22×C4×C43—21no—
563C22×C4×C43—82no—
564C22×C4×C43C2×D411yescharacteristic
565C22×C4×C43C2×D411yescharacteristic
566C22×C4×C43C2411yescharacteristic
567C22×C4×C43C2411yescharacteristic
568C22×C4×C43C2411yescharacteristic
569Q16×C43—41no—
570Q16×C43—41no—
571Q16×C43—41no—
572SD16×C43—22no—
573SD16×C43—22no—
574SD16×C43—22no—
575SD16×C43—41no—
576SD16×C43—41no—
577SD16×C43—41no—
578SD16×C43—41no—
579SD16×C43—41no—
580SD16×C43—41no—
581SD16×C43—41no—
582SD16×C43—41no—
583SD16×C43—41no—
584D8×C43—22no—
585D8×C43—22no—
586D8×C43—22no—
587D8×C43—41no—
588D8×C43—41no—
589D8×C43—41no—
590D8×C43—41no—
591D8×C43—41no—
592D8×C43—41no—
593M16×C43—41no—
594M16×C43—41no—
595M16×C43—41no—
596M16×C43—41no—
597C2×C8×C43—41no—
598C2×C8×C43—41no—
599C2×C8×C43C2411yescharacteristic
600C2×C8×C43C2411yescharacteristic
601C2×C8×C43C2411yescharacteristic
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C2×C8×C43C2411yescharacteristic
605C2×C8×C43C2411yescharacteristic
606C2×C8×C43C2411yescharacteristic
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43—21no—
618C4⋊C4×C43—21no—
619C4⋊C4×C43—21no—
620C4⋊C4×C43—21no—
621C4⋊C4×C43—21no—
622C4⋊C4×C43—21no—
623C4⋊C4×C43—21no—
624C4⋊C4×C43—21no—
625C4⋊C4×C43—21no—
626C4⋊C4×C43—21no—
627C4⋊C4×C43—21no—
628C4⋊C4×C43—21no—
629C4⋊C4×C43—21no—
630C4⋊C4×C43C2×D411yescharacteristic
631C4⋊C4×C43C2×D411yescharacteristic
632C4⋊C4×C43C2×D411yescharacteristic
633C4⋊C4×C43C2×D411yescharacteristic
634C4⋊C4×C43C2×D411yescharacteristic
635C4⋊C4×C43C2×D411yescharacteristic
636C4⋊C4×C43C2×D411yescharacteristic
637C4⋊C4×C43C2×D411yescharacteristic
638C4⋊C4×C43C2×D411yescharacteristic
639C4⋊C4×C43C2×D411yescharacteristic
640C4⋊C4×C43C2411yescharacteristic
641C4⋊C4×C43C2411yescharacteristic
642C4⋊C4×C43C2411yescharacteristic
643C4⋊C4×C43C2411yescharacteristic
644C4⋊C4×C43C2411yescharacteristic
645C4⋊C4×C43C2411yescharacteristic
646C22⋊C4×C43—21no—
647C22⋊C4×C43—21no—
648C22⋊C4×C43—21no—
649C22⋊C4×C43—21no—
650C22⋊C4×C43—21no—
651C22⋊C4×C43—21no—
652C22⋊C4×C43—21no—
653C22⋊C4×C43—21no—
654C22⋊C4×C43—21no—
655C22⋊C4×C43—21no—
656C22⋊C4×C43—21no—
657C22⋊C4×C43—21no—
658C22⋊C4×C43—21no—
659C22⋊C4×C43—21no—
660C22⋊C4×C43—21no—
661C22⋊C4×C43—21no—
662C22⋊C4×C43—21no—
663C22⋊C4×C43—21no—
664C22⋊C4×C43—21no—
665C22⋊C4×C43—21no—
666C22⋊C4×C43—21no—
667C22⋊C4×C43—21no—
668C22⋊C4×C43—21no—
669C22⋊C4×C43—21no—
670C22⋊C4×C43—21no—
671C22⋊C4×C43—21no—
672C22⋊C4×C43—21no—
673C22⋊C4×C43—21no—
674C22⋊C4×C43—21no—
675C22⋊C4×C43—21no—
676C22⋊C4×C43—21no—
677C22⋊C4×C43—21no—
678C22⋊C4×C43—21no—
679C22⋊C4×C43—21no—
680C22⋊C4×C43—21no—
681C22⋊C4×C43—21no—
682C22⋊C4×C43—21no—
683C22⋊C4×C43—21no—
684C22⋊C4×C43C2×D411yescharacteristic
685C22⋊C4×C43C2×D411yescharacteristic
686C22⋊C4×C43C2×D411yescharacteristic
687C22⋊C4×C43C2×D411yescharacteristic
688C22⋊C4×C43C2×D411yescharacteristic
689C22⋊C4×C43C2×D411yescharacteristic
690C22⋊C4×C43C2×D411yescharacteristic
691C22⋊C4×C43C2×D411yescharacteristic
692C22⋊C4×C43C2×D411yescharacteristic
693C22⋊C4×C43C2×D411yescharacteristic
694C42×C43—21no—
695C42×C43—21no—
696C42×C43—21no—
697C42×C43—21no—
698C42×C43—21no—
699C42×C43—21no—
700C42×C43C2×D411yescharacteristic
701C42×C43C2×D411yescharacteristic
702C42×C43C2411yescharacteristic
703C42×C43C2411yescharacteristic
704C42×C43C2411yescharacteristic
705C42×C43C2411yescharacteristic
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43—21no—
710C23×C43—21no—
711C23×C43—21no—
712C23×C43—42no—
713C23×C43—42no—
714C23×C43—42no—
715C23×C43—81no—
716C23×C43—81no—
717C23×C43—81no—
718C23×C43—81no—
719C23×C43—81no—
720C23×C43—81no—
721C23×C43C22×D411yescharacteristic
722C23×C43C22×D411yescharacteristic
723C23×C43C22×D411yescharacteristic
724Q8×C43—21no—
725Q8×C43—21no—
726Q8×C43—21no—
727Q8×C43—21no—
728Q8×C43—21no—
729Q8×C43—21no—
730Q8×C43—21no—
731Q8×C43—21no—
732Q8×C43—41no—
733Q8×C43—81no—
734Q8×C43—81no—
735D4×C43—21no—
736D4×C43—21no—
737D4×C43—21no—
738D4×C43—21no—
739D4×C43—21no—
740D4×C43—21no—
741D4×C43—21no—
742D4×C43—21no—
743D4×C43—21no—
744D4×C43—21no—
745D4×C43—21no—
746D4×C43—41no—
747D4×C43—41no—
748D4×C43—41no—
749D4×C43—42no—
750D4×C43—42no—
751D4×C43—42no—
752D4×C43—42no—
753D4×C43—81no—
754D4×C43—81no—
755D4×C43—81no—
756D4×C43—81no—
757D4×C43—81no—
758D4×C43—81no—
759D4×C43—81no—
760D4×C43—81no—
761D4×C43—81no—
762D4×C43—81no—
763D4×C43—81no—
764D4×C43—81no—
765D4×C43—81no—
766D4×C43—81no—
767D4×C43—81no—
768D4×C43—81no—
769D4×C43—81no—
770D4×C43H(5,𝔽2)12yes—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—21no—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—41no—
788C2×C4×C43—41no—
789C2×C4×C43—42no—
790C2×C4×C43—42no—
791C2×C4×C43—81no—
792C2×C4×C43—81no—
793C2×C4×C43—81no—
794C2×C4×C43—81no—
795C2×C4×C43—81no—
796C2×C4×C43—81no—
797C2×C4×C43—81no—
798C2×C4×C43—81no—
799C2×C4×C43—81no—
800C2×C4×C43—81no—
801C2×C4×C43—81no—
802C2×C4×C43—81no—
803C2×C4×C43—81no—
804C2×C4×C43—81no—
805C2×C4×C43—81no—
806C2×C4×C43—81no—
807C2×C4×C43—81no—
808C2×C4×C43C22×D411yescharacteristic
809C2×C4×C43C22×D411yescharacteristic
810C2×C4×C43C22×D411yescharacteristic
811C2×C4×C43C22×D411yescharacteristic
812C2×C4×C43C22×D411yescharacteristic
813C2×C4×C43C22×D411yescharacteristic
814C2×C4×C43C22×D411yescharacteristic
815C2×C4×C43C22×D411yescharacteristic
816C2×C4×C43C22×D411yescharacteristic
817C2×C4×C43C22×D411yescharacteristic
818C2×C4×C43C22×D411yescharacteristic
819C2×C4×C43C2511yescharacteristic
820C8×C43—21no—
821C8×C43—21no—
822C8×C43—21no—
823C8×C43—21no—
824C8×C43—21no—
825C8×C43—21no—
826C8×C43—21no—
827C8×C43—21no—
828#62028C4311yesmaximal, characteristic, direct product factor, Sylow
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—21no—
832C22×C43—21no—
833C22×C43—21no—
834C22×C43—21no—
835C22×C43—22no—
836C22×C43—21no—
837C22×C43—21no—
838C22×C43—21no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43—41no—
845C22×C43—41no—
846C22×C43—41no—
847C22×C43—41no—
848C22×C43—41no—
849C22×C43—41no—
850C22×C43—41no—
851C22×C43—41no—
852C22×C43—41no—
853C22×C43—41no—
854C22×C43—41no—
855C22×C43—41no—
856C22×C43—84no—
857C22×C43—162no—
858C22×C43—162no—
859C22×C43C23×D411yescharacteristic
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—21no—
865C4×C43—21no—
866C4×C43—21no—
867C4×C43—21no—
868C4×C43—21no—
869C4×C43—21no—
870C4×C43—21no—
871C4×C43—41no—
872C4×C43—41no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880C4×C43—41no—
881C4×C43C2×H(5,𝔽2)11yescharacteristic
882C4×C43#58511yescharacteristic
883#3562C2×C4311yescharacteristic, complemented
884#3513C2×C4311yescharacteristic, complemented
885#3403C2×C4311yescharacteristic, complemented
886#3394C2×C4311yescharacteristic, complemented
887#3376C2×C4311yescharacteristic, complemented
888#3361C2×C4311yescharacteristic, complemented
889#3332C2×C4311yescharacteristic, complemented
890#3323C2×C4311yescharacteristic, complemented
891#3322C2×C4311yescharacteristic, complemented
892#3315C2×C4311yescharacteristic, complemented
893#3308C2×C4311yescharacteristic, complemented
894#3301C2×C4311yescharacteristic, complemented
895#3280C2×C4311yescharacteristic, complemented
896#3275C2×C4311yescharacteristic, complemented
897#3275C2×C4311yescharacteristic, complemented
898#3272C2×C4311yescharacteristic, complemented
899#3268C2×C4311yescharacteristic, complemented
900#3264C2×C4311yescharacteristic, complemented
901#3259C2×C4311yescharacteristic, complemented
902#3258C2×C4311yescharacteristic, complemented
903#3256C2×C4311yescharacteristic, complemented
904#3224C2×C4311yescharacteristic, complemented
905#3221C2×C4311yescharacteristic, complemented
906#3212C2×C4311yescharacteristic, complemented
907#3123C2×C4311yescharacteristic, complemented
908#3119C2×C4311yescharacteristic, complemented
909#3105C2×C4311yescharacteristic, complemented
910#3046C2×C4311yescharacteristic, complemented
911#3041C2×C4311yescharacteristic, complemented
912#3036C2×C4311yescharacteristic, complemented
913#2993C2×C4311yescharacteristic, complemented
914C2×C43—41no—
915C2×C43—41no—
916C2×C43—41no—
917C2×C43—42no—
918C2×C43—81no—
919C2×C43—81no—
920C2×C43—81no—
921C2×C43—81no—
922C2×C43—81no—
923C2×C43#348811yescharacteristic
924C2×C43#358411yescharacteristic
925C2×C43#358511yescharacteristic
926C2×#137C22×C4311yescharacteristic, complemented
927C2×AGL(1,ℤ/8)C22×C4311yescharacteristic
928C2×AGL(1,ℤ/8)C22×C4311yescharacteristic
929C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
930C2×#135C22×C4311yescharacteristic
931C22×D8C22×C4311yescharacteristic
932#562—21no—
933#560—21no—
934#559C22×C4311yescharacteristic, complemented
935#559C22×C4311yescharacteristic, complemented
936#556C22×C4311yescharacteristic, complemented
937#554C22×C4311yescharacteristic, complemented
938#553—21no—
939#553—21no—
940#553C22×C4311yescharacteristic
941#552C22×C4311yescharacteristic
942#551—21no—
943#551—21no—
944#551—21no—
945#550C22×C4311yescharacteristic, complemented
946#548C22×C4311yescharacteristic, complemented
947#548C22×C4311yescharacteristic, complemented
948#547C22×C4311yescharacteristic
949#547C22×C4311yescharacteristic, complemented
950#546—21no—
951#546C22×C4311yescharacteristic
952#546C22×C4311yescharacteristic
953#546C22×C4311yescharacteristic, complemented
954#546C22×C4311yescharacteristic, complemented
955D42C22×C4311yescharacteristic
956#542C22×C4311yescharacteristic
957#541C22×C4311yescharacteristic, complemented
958#540—21no—
959#540C22×C4311yescharacteristic, complemented
960#540C22×C4311yescharacteristic, complemented
961#539—21no—
962#539—21no—
963#538—21no—
964#538—21no—
965#538—21no—
966#536C22×C4311yescharacteristic, complemented
967#535C22×C4311yescharacteristic, complemented
968#532C22×C4311yescharacteristic, complemented
969#529C22×C4311yescharacteristic
970#529C22×C4311yescharacteristic, complemented
971#529C22×C4311yescharacteristic, complemented
972#525—21no—
973C2×#123—21no—
974#520C22×C4311yescharacteristic, complemented
975#518C22×C4311yescharacteristic
976C2×C4×D4C22×C4311yescharacteristic, complemented
977#496C22×C4311yescharacteristic
978#496C22×C4311yescharacteristic, complemented
979#495C22×C4311yescharacteristic, complemented
980#495C22×C4311yescharacteristic, complemented
981#495C22×C4311yescharacteristic, complemented
982#492C22×C4311yescharacteristic, complemented
983#491C22×C4311yescharacteristic, complemented
984#489C22×C4311yescharacteristic, complemented
985#488C22×C4311yescharacteristic, complemented
986#488C22×C4311yescharacteristic, complemented
987#488C22×C4311yescharacteristic, complemented
988#486C22×C4311yescharacteristic, complemented
989#485C22×C4311yescharacteristic, complemented
990#485C22×C4311yescharacteristic, complemented
991#484C22×C4311yescharacteristic, complemented
992#481C22×C4311yescharacteristic, complemented
993#481C22×C4311yescharacteristic, complemented
994#480C22×C4311yescharacteristic, complemented
995#479C22×C4311yescharacteristic, complemented
996#479C22×C4311yescharacteristic, complemented
997#478C22×C4311yescharacteristic, complemented
998#478C22×C4311yescharacteristic, complemented
999#478C22×C4311yescharacteristic, complemented
1000#478C22×C4311yescharacteristic, complemented
1001#478C22×C4311yescharacteristic, complemented
1002#478C22×C4311yescharacteristic, complemented
1003#477C22×C4311yescharacteristic, complemented
1004#475C22×C4311yescharacteristic, complemented
1005#470C22×C4311yescharacteristic, complemented
1006#470C22×C4311yescharacteristic, complemented
1007#469C22×C4311yescharacteristic
1008#469C22×C4311yescharacteristic, complemented
1009#469C22×C4311yescharacteristic, complemented
1010#468C22×C4311yescharacteristic
1011#468C22×C4311yescharacteristic, complemented
1012#468C22×C4311yescharacteristic, complemented
1013#467C22×C4311yescharacteristic, complemented
1014#466C22×C4311yescharacteristic, complemented
1015#466C22×C4311yescharacteristic, complemented
1016#465C22×C4311yescharacteristic
1017#464C22×C4311yescharacteristic, complemented
1018#464C22×C4311yescharacteristic, complemented
1019#464C22×C4311yescharacteristic, complemented
1020#464C22×C4311yescharacteristic, complemented
1021#464C22×C4311yescharacteristic, complemented
1022#463C22×C4311yescharacteristic
1023#463C22×C4311yescharacteristic
1024#463C22×C4311yescharacteristic
1025#463C22×C4311yescharacteristic
1026#463C22×C4311yescharacteristic, complemented
1027#463C22×C4311yescharacteristic, complemented
1028#463C22×C4311yescharacteristic, complemented
1029#463C22×C4311yescharacteristic, complemented
1030#463C22×C4311yescharacteristic, complemented
1031#463C22×C4311yescharacteristic, complemented
1032#463C22×C4311yescharacteristic, complemented
1033#462C22×C4311yescharacteristic, complemented
1034#462C22×C4311yescharacteristic, complemented
1035#461C22×C4311yescharacteristic, complemented
1036#461C22×C4311yescharacteristic, complemented
1037#461C22×C4311yescharacteristic, complemented
1038#461C22×C4311yescharacteristic, complemented
1039#460C22×C4311yescharacteristic, complemented
1040#459C22×C4311yescharacteristic
1041#459C22×C4311yescharacteristic
1042#459C22×C4311yescharacteristic
1043#459C22×C4311yescharacteristic, complemented
1044#459C22×C4311yescharacteristic, complemented
1045#459C22×C4311yescharacteristic, complemented
1046#459C22×C4311yescharacteristic, complemented
1047#452C22×C4311yescharacteristic, complemented
1048#452C22×C4311yescharacteristic, complemented
1049#452C22×C4311yescharacteristic, complemented
1050#450C22×C4311yescharacteristic
1051#450C22×C4311yescharacteristic
1052#450C22×C4311yescharacteristic, complemented
1053#450C22×C4311yescharacteristic, complemented
1054#449C22×C4311yescharacteristic
1055#449C22×C4311yescharacteristic
1056#449C22×C4311yescharacteristic
1057#449C22×C4311yescharacteristic, complemented
1058#449C22×C4311yescharacteristic, complemented
1059#449C22×C4311yescharacteristic, complemented
1060#449C22×C4311yescharacteristic, complemented
1061#448C22×C4311yescharacteristic, complemented
1062#448C22×C4311yescharacteristic, complemented
1063#447C22×C4311yescharacteristic
1064#447C22×C4311yescharacteristic
1065#446C22×C4311yescharacteristic, complemented
1066C8×Q8C22×C4311yescharacteristic, complemented
1067#442C22×C4311yescharacteristic
1068#440C22×C4311yescharacteristic, complemented
1069#440C22×C4311yescharacteristic, complemented
1070#440C22×C4311yescharacteristic, complemented
1071C4×SD16C22×C4311yescharacteristic, complemented
1072C4×SD16C22×C4311yescharacteristic, complemented
1073C4×SD16C22×C4311yescharacteristic, complemented
1074C4×SD16C22×C4311yescharacteristic, complemented
1075C4×SD16C22×C4311yescharacteristic, complemented
1076C4×D8C22×C4311yescharacteristic
1077C4×D8C22×C4311yescharacteristic, complemented
1078C4×D8C22×C4311yescharacteristic, complemented
1079#436C22×C4311yescharacteristic
1080#436C22×C4311yescharacteristic, complemented
1081#436C22×C4311yescharacteristic, complemented
1082#435C22×C4311yescharacteristic
1083#435C22×C4311yescharacteristic, complemented
1084C8×D4C22×C4311yescharacteristic, complemented
1085#433C22×C4311yescharacteristic, complemented
1086#433C22×C4311yescharacteristic, complemented
1087#431C22×C4311yescharacteristic, complemented
1088#424C22×C4311yescharacteristic, complemented
1089#424C22×C4311yescharacteristic, complemented
1090#423C22×C4311yescharacteristic, complemented
1091#418C22×C4311yescharacteristic, complemented
1092#417C22×C4311yescharacteristic, complemented
1093#417C22×C4311yescharacteristic, complemented
1094#417C22×C4311yescharacteristic, complemented
1095#416C22×C4311yescharacteristic, complemented
1096C2×#103C22×C4311yescharacteristic, complemented
1097C43#6202811yescharacteristic, direct product factor, Sylow
1098C2×#41—21no—
1099C2×#41C23×C4311yescharacteristic
1100C2×#41C23×C4311yescharacteristic
1101C2×#41C23×C4311yescharacteristic
1102C2×#41C23×C4311yescharacteristic
1103C2×#41C23×C4311yescharacteristic
1104C22×Q8C23×C4311yescharacteristic
1105C22×D4—21no—
1106C22×D4C23×C4311yescharacteristic
1107C22×D4C23×C4311yescharacteristic
1108C22×D4C23×C4311yescharacteristic
1109C23×C4—21no—
1110#137—42no—
1111AGL(1,ℤ/8)—42no—
1112AGL(1,ℤ/8)—42no—
1113AGL(1,ℤ/8)—42no—
1114#135—42no—
1115C2×Q16C23×C4311yescharacteristic
1116C2×Q16C23×C4311yescharacteristic
1117C2×Q16C23×C4311yescharacteristic
1118C2×SD16C23×C4311yescharacteristic
1119C2×SD16C23×C4311yescharacteristic
1120C2×SD16C23×C4311yescharacteristic
1121C2×SD16C23×C4311yescharacteristic
1122C2×SD16C23×C4311yescharacteristic
1123C2×SD16C23×C4311yescharacteristic
1124C2×SD16C23×C4311yescharacteristic
1125C2×SD16C23×C4311yescharacteristic
1126C2×SD16C23×C4311yescharacteristic
1127C2×SD16C23×C4311yescharacteristic
1128C2×SD16C23×C4311yescharacteristic
1129C2×SD16C23×C4311yescharacteristic
1130C2×D8—42no—
1131C2×D8C23×C4311yescharacteristic
1132C2×D8C23×C4311yescharacteristic
1133C2×D8C23×C4311yescharacteristic
1134C2×D8C23×C4311yescharacteristic
1135C2×D8C23×C4311yescharacteristic
1136C2×D8C23×C4311yescharacteristic
1137C2×D8C23×C4311yescharacteristic
1138C2×D8C23×C4311yescharacteristic
1139C2×D8C23×C4311yescharacteristic
1140C2×M16C23×C4311yescharacteristic
1141C2×M16C23×C4311yescharacteristic
1142C2×M16C23×C4311yescharacteristic
1143C2×M16C23×C4311yescharacteristic
1144C22×C8C23×C4311yescharacteristic
1145C22×C8C23×C4311yescharacteristic
1146C4⋊Q8C23×C4311yescharacteristic
1147C4⋊Q8C23×C4311yescharacteristic
1148C4⋊Q8C23×C4311yescharacteristic
1149#127—21no—
1150#127C23×C4311yescharacteristic
1151#127C23×C4311yescharacteristic
1152#127C23×C4311yescharacteristic
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126—21no—
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—21no—
1162#126D4×C4311yescharacteristic
1163#126D4×C4311yescharacteristic
1164#125—21no—
1165#125—21no—
1166#125—21no—
1167#125D4×C4311yescharacteristic
1168#125C23×C4311yescharacteristic
1169#125C23×C4311yescharacteristic
1170#125C23×C4311yescharacteristic
1171#124—21no—
1172#124—21no—
1173#124—21no—
1174#124—21no—
1175#124—21no—
1176#124D4×C4311yescharacteristic
1177#124C23×C4311yescharacteristic
1178#124C23×C4311yescharacteristic
1179#124C23×C4311yescharacteristic
1180#124C23×C4311yescharacteristic
1181#124C23×C4311yescharacteristic
1182#124C23×C4311yescharacteristic
1183#124C23×C4311yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—21no—
1206#123—21no—
1207#123D4×C4311yescharacteristic
1208#123D4×C4311yescharacteristic
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—21no—
1216C22⋊Q8—21no—
1217C22⋊Q8—21no—
1218C22⋊Q8—21no—
1219C22⋊Q8D4×C4311yescharacteristic
1220C22⋊Q8C23×C4311yescharacteristic
1221C22⋊Q8C23×C4311yescharacteristic
1222C22⋊Q8C23×C4311yescharacteristic
1223C22⋊Q8C23×C4311yescharacteristic
1224C22⋊Q8C23×C4311yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121D4×C4311yescharacteristic
1245#121C23×C4311yescharacteristic
1246#121C23×C4311yescharacteristic
1247#121C23×C4311yescharacteristic
1248#121C23×C4311yescharacteristic
1249#121C23×C4311yescharacteristic
1250#121C23×C4311yescharacteristic
1251#121C23×C4311yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258#120—21no—
1259#120—21no—
1260C4×Q8C23×C4311yescharacteristic
1261C4×Q8C23×C4311yescharacteristic
1262C4×Q8C23×C4311yescharacteristic
1263C4×Q8C23×C4311yescharacteristic
1264C4×Q8C23×C4311yescharacteristic
1265C4×Q8C23×C4311yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4C23×C4311yescharacteristic
1283C4×D4C23×C4311yescharacteristic
1284C4×D4C23×C4311yescharacteristic
1285C4×D4C23×C4311yescharacteristic
1286C4×D4C23×C4311yescharacteristic
1287C4×D4C23×C4311yescharacteristic
1288C4×D4C23×C4311yescharacteristic
1289C4×D4C23×C4311yescharacteristic
1290C4×D4C23×C4311yescharacteristic
1291C4×D4C23×C4311yescharacteristic
1292C4×D4C23×C4311yescharacteristic
1293C4×D4C23×C4311yescharacteristic
1294C4×D4C23×C4311yescharacteristic
1295C4×D4C23×C4311yescharacteristic
1296#117—21no—
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117C23×C4311yescharacteristic
1302#117C23×C4311yescharacteristic
1303#117C23×C4311yescharacteristic
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—21no—
1306C2×C4⋊C4—21no—
1307C2×C4⋊C4C23×C4311yescharacteristic
1308C2×C4⋊C4C23×C4311yescharacteristic
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C22⋊C4—21no—
1316C2×C42C23×C4311yescharacteristic
1317#107C23×C4311yescharacteristic
1318#107C23×C4311yescharacteristic
1319#107C23×C4311yescharacteristic
1320#107C23×C4311yescharacteristic
1321#106C23×C4311yescharacteristic
1322#106C23×C4311yescharacteristic
1323#106C23×C4311yescharacteristic
1324#106C23×C4311yescharacteristic
1325C4⋊C8C23×C4311yescharacteristic
1326C4⋊C8C23×C4311yescharacteristic
1327C4⋊C8C23×C4311yescharacteristic
1328C4⋊C8C23×C4311yescharacteristic
1329C4⋊C8C23×C4311yescharacteristic
1330C4⋊C8C23×C4311yescharacteristic
1331C4⋊C8C23×C4311yescharacteristic
1332C4⋊C8C23×C4311yescharacteristic
1333C4⋊C8C23×C4311yescharacteristic
1334C4⋊C8C23×C4311yescharacteristic
1335#103C23×C4311yescharacteristic
1336#103C23×C4311yescharacteristic
1337#103C23×C4311yescharacteristic
1338#103C23×C4311yescharacteristic
1339#103C23×C4311yescharacteristic
1340#103C23×C4311yescharacteristic
1341#103C23×C4311yescharacteristic
1342#103C23×C4311yescharacteristic
1343#103C23×C4311yescharacteristic
1344#103C23×C4311yescharacteristic
1345#103C23×C4311yescharacteristic
1346#103C23×C4311yescharacteristic
1347#103C23×C4311yescharacteristic
1348#103C23×C4311yescharacteristic
1349#102C23×C4311yescharacteristic
1350#102C23×C4311yescharacteristic
1351#102C23×C4311yescharacteristic
1352#102C23×C4311yescharacteristic
1353#102C23×C4311yescharacteristic
1354#102C23×C4311yescharacteristic
1355#102C23×C4311yescharacteristic
1356#102C23×C4311yescharacteristic
1357#102C23×C4311yescharacteristic
1358#102C23×C4311yescharacteristic
1359#102C23×C4311yescharacteristic
1360#102C23×C4311yescharacteristic
1361#102C23×C4311yescharacteristic
1362#102C23×C4311yescharacteristic
1363#102C23×C4311yescharacteristic
1364#102C23×C4311yescharacteristic
1365#102C23×C4311yescharacteristic
1366#102C23×C4311yescharacteristic
1367C22⋊C8C23×C4311yescharacteristic
1368C22⋊C8C23×C4311yescharacteristic
1369C22⋊C8C23×C4311yescharacteristic
1370C22⋊C8C23×C4311yescharacteristic
1371C22⋊C8C23×C4311yescharacteristic
1372C22⋊C8C23×C4311yescharacteristic
1373#97C23×C4311yescharacteristic
1374#97C23×C4311yescharacteristic
1375C4×C8C23×C4311yescharacteristic
1376C4×C8C23×C4311yescharacteristic
1377C4×C8C23×C4311yescharacteristic
1378C4×C8C23×C4311yescharacteristic
1379C24—21no—
1380C24—21no—
1381C24—21no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—82no—
1393C2×Q8—21no—
1394C2×Q8—21no—
1395C2×Q8—41no—
1396C2×Q8—41no—
1397C2×Q8C2×D4×C4311yescharacteristic
1398C2×Q8C24×C4311yescharacteristic
1399C2×Q8C24×C4311yescharacteristic
1400C2×Q8C24×C4311yescharacteristic
1401C2×Q8C24×C4311yescharacteristic
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—82no—
1430C2×D4C2×D4×C4311yescharacteristic
1431C2×D4C2×D4×C4311yescharacteristic
1432C2×D4C2×D4×C4311yescharacteristic
1433C2×D4C24×C4311yescharacteristic
1434C2×D4C24×C4311yescharacteristic
1435C2×D4C24×C4311yescharacteristic
1436C2×D4C24×C4311yescharacteristic
1437C2×D4C24×C4311yescharacteristic
1438C2×D4C24×C4311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—82no—
1459C22×C4C2×D4×C4311yescharacteristic
1460C22×C4C2×D4×C4311yescharacteristic
1461C22×C4C24×C4311yescharacteristic
1462C22×C4C24×C4311yescharacteristic
1463C22×C4C24×C4311yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—41no—
1467SD16—22no—
1468SD16—22no—
1469SD16—22no—
1470SD16—41no—
1471SD16—41no—
1472SD16—41no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—41no—
1478SD16—41no—
1479D8—22no—
1480D8—22no—
1481D8—22no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—41no—
1486D8—41no—
1487D8—41no—
1488M16—41no—
1489M16—41no—
1490M16—41no—
1491M16—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8C24×C4311yescharacteristic
1495C2×C8C24×C4311yescharacteristic
1496C2×C8C24×C4311yescharacteristic
1497C2×C8C24×C4311yescharacteristic
1498C2×C8C24×C4311yescharacteristic
1499C2×C8C24×C4311yescharacteristic
1500C2×C8C24×C4311yescharacteristic
1501C2×C8C24×C4311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4C2×D4×C4311yescharacteristic
1526C4⋊C4C2×D4×C4311yescharacteristic
1527C4⋊C4C2×D4×C4311yescharacteristic
1528C4⋊C4C2×D4×C4311yescharacteristic
1529C4⋊C4C2×D4×C4311yescharacteristic
1530C4⋊C4C2×D4×C4311yescharacteristic
1531C4⋊C4C2×D4×C4311yescharacteristic
1532C4⋊C4C2×D4×C4311yescharacteristic
1533C4⋊C4C2×D4×C4311yescharacteristic
1534C4⋊C4C2×D4×C4311yescharacteristic
1535C4⋊C4C24×C4311yescharacteristic
1536C4⋊C4C24×C4311yescharacteristic
1537C4⋊C4C24×C4311yescharacteristic
1538C4⋊C4C24×C4311yescharacteristic
1539C4⋊C4C24×C4311yescharacteristic
1540C4⋊C4C24×C4311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4C2×D4×C4311yescharacteristic
1580C22⋊C4C2×D4×C4311yescharacteristic
1581C22⋊C4C2×D4×C4311yescharacteristic
1582C22⋊C4C2×D4×C4311yescharacteristic
1583C22⋊C4C2×D4×C4311yescharacteristic
1584C22⋊C4C2×D4×C4311yescharacteristic
1585C22⋊C4C2×D4×C4311yescharacteristic
1586C22⋊C4C2×D4×C4311yescharacteristic
1587C22⋊C4C2×D4×C4311yescharacteristic
1588C22⋊C4C2×D4×C4311yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42—21no—
1594C42—21no—
1595C42C2×D4×C4311yescharacteristic
1596C42C2×D4×C4311yescharacteristic
1597C42C24×C4311yescharacteristic
1598C42C24×C4311yescharacteristic
1599C42C24×C4311yescharacteristic
1600C42C24×C4311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—42no—
1608C23—42no—
1609C23—42no—
1610C23—81no—
1611C23—81no—
1612C23—81no—
1613C23—81no—
1614C23—81no—
1615C23—81no—
1616C23C22×D4×C4311yescharacteristic
1617C23C22×D4×C4311yescharacteristic
1618C23C22×D4×C4311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—41no—
1628Q8—81no—
1629Q8—81no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—21no—
1640D4—21no—
1641D4—41no—
1642D4—41no—
1643D4—41no—
1644D4—42no—
1645D4—42no—
1646D4—42no—
1647D4—42no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4H(5,𝔽2)×C4312yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—42no—
1685C2×C4—42no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4C22×D4×C4311yescharacteristic
1704C2×C4C22×D4×C4311yescharacteristic
1705C2×C4C22×D4×C4311yescharacteristic
1706C2×C4C22×D4×C4311yescharacteristic
1707C2×C4C22×D4×C4311yescharacteristic
1708C2×C4C22×D4×C4311yescharacteristic
1709C2×C4C22×D4×C4311yescharacteristic
1710C2×C4C22×D4×C4311yescharacteristic
1711C2×C4C22×D4×C4311yescharacteristic
1712C2×C4C22×D4×C4311yescharacteristic
1713C2×C4C22×D4×C4311yescharacteristic
1714C2×C4C25×C4311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C8—21no—
1722C8—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—22no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—84no—
1751C22—162no—
1752C22—162no—
1753C22C23×D4×C4311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4C2×H(5,𝔽2)×C4311yescharacteristic
1776C4C43×#58511yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—42no—
1781C2—81no—
1782C2—81no—
1783C2—81no—
1784C2—81no—
1785C2—81no—
1786C2C43×#348811yescharacteristic
1787C2C43×#358411yescharacteristic
1788C2C43×#358511yescharacteristic
subgroupG/H
center, socleC22×C43C23×D4
commutator, Frattini, cosocleC2×C4C25×C43
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C43 ◁ C43×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3562C2semidirect
2. C43×#3513C2semidirect
3. C43×#3403C2semidirect
4. C43×#3394C2semidirect
5. C43×#3376C2semidirect
6. C43×#3361C2semidirect
7. C43×#3332C2semidirect
8. C43×#3323C2semidirect
9. C43×#3322C2semidirect
10. C43×#3315C2semidirect
11. C43×#3308C2semidirect
12. C43×#3301C2semidirect
13. C43×#3280C2semidirect
14. C43×#3275C2semidirect
15. C43×#3275C2semidirect
16. C43×#3272C2semidirect
17. C43×#3268C2semidirect
18. C43×#3264C2semidirect
19. C43×#3259C2semidirect
20. C43×#3258C2semidirect
21. C43×#3256C2semidirect
22. C43×#3224C2semidirect
23. C43×#3221C2semidirect
24. C43×#3212C2semidirect
25. C43×#3123C2semidirect
26. C43×#3119C2semidirect
27. C43×#3105C2semidirect
28. C43×#3046C2semidirect
29. C43×#3041C2semidirect
30. C43×#3036C2semidirect
31. C43×#2993C2semidirect
32. C2×#137×C43C22semidirect
35. C2×AGL(1,ℤ/8)×C43C22semidirect
40. C43×#559C22semidirect
41. C43×#559C22semidirect
42. C43×#556C22semidirect
43. C43×#554C22semidirect
51. C43×#550C22semidirect
52. C43×#548C22semidirect
53. C43×#548C22semidirect
55. C43×#547C22semidirect
59. C43×#546C22semidirect
60. C43×#546C22semidirect
63. C43×#541C22semidirect
65. C43×#540C22semidirect
66. C43×#540C22semidirect
72. C43×#536C22semidirect
73. C43×#535C22semidirect
74. C43×#532C22semidirect
76. C43×#529C22semidirect
77. C43×#529C22semidirect
80. C43×#520C22semidirect
82. C2×C4×D4×C43C22semidirect
84. C43×#496C22semidirect
85. C43×#495C22semidirect
86. C43×#495C22semidirect
87. C43×#495C22semidirect
88. C43×#492C22semidirect
89. C43×#491C22semidirect
90. C43×#489C22semidirect
91. C43×#488C22semidirect
92. C43×#488C22semidirect
93. C43×#488C22semidirect
94. C43×#486C22semidirect
95. C43×#485C22semidirect
96. C43×#485C22semidirect
97. C43×#484C22semidirect
98. C43×#481C22semidirect
99. C43×#481C22semidirect
100. C43×#480C22semidirect
101. C43×#479C22semidirect
102. C43×#479C22semidirect
103. C43×#478C22semidirect
104. C43×#478C22semidirect
105. C43×#478C22semidirect
106. C43×#478C22semidirect
107. C43×#478C22semidirect
108. C43×#478C22semidirect
109. C43×#477C22semidirect
110. C43×#475C22semidirect
111. C43×#470C22semidirect
112. C43×#470C22semidirect
114. C43×#469C22semidirect
115. C43×#469C22semidirect
117. C43×#468C22semidirect
118. C43×#468C22semidirect
119. C43×#467C22semidirect
120. C43×#466C22semidirect
121. C43×#466C22semidirect
123. C43×#464C22semidirect
124. C43×#464C22semidirect
125. C43×#464C22semidirect
126. C43×#464C22semidirect
127. C43×#464C22semidirect
132. C43×#463C22semidirect
133. C43×#463C22semidirect
134. C43×#463C22semidirect
135. C43×#463C22semidirect
136. C43×#463C22semidirect
137. C43×#463C22semidirect
138. C43×#463C22semidirect
139. C43×#462C22semidirect
140. C43×#462C22semidirect
141. C43×#461C22semidirect
142. C43×#461C22semidirect
143. C43×#461C22semidirect
144. C43×#461C22semidirect
145. C43×#460C22semidirect
149. C43×#459C22semidirect
150. C43×#459C22semidirect
151. C43×#459C22semidirect
152. C43×#459C22semidirect
153. C43×#452C22semidirect
154. C43×#452C22semidirect
155. C43×#452C22semidirect
158. C43×#450C22semidirect
159. C43×#450C22semidirect
163. C43×#449C22semidirect
164. C43×#449C22semidirect
165. C43×#449C22semidirect
166. C43×#449C22semidirect
167. C43×#448C22semidirect
168. C43×#448C22semidirect
171. C43×#446C22semidirect
172. C8×Q8×C43C22semidirect
174. C43×#440C22semidirect
175. C43×#440C22semidirect
176. C43×#440C22semidirect
177. C4×SD16×C43C22semidirect
178. C4×SD16×C43C22semidirect
179. C4×SD16×C43C22semidirect
180. C4×SD16×C43C22semidirect
181. C4×SD16×C43C22semidirect
183. C4×D8×C43C22semidirect
184. C4×D8×C43C22semidirect
186. C43×#436C22semidirect
187. C43×#436C22semidirect
189. C43×#435C22semidirect
190. C8×D4×C43C22semidirect
191. C43×#433C22semidirect
192. C43×#433C22semidirect
193. C43×#431C22semidirect
194. C43×#424C22semidirect
195. C43×#424C22semidirect
196. C43×#423C22semidirect
197. C43×#418C22semidirect
198. C43×#417C22semidirect
199. C43×#417C22semidirect
200. C43×#417C22semidirect
201. C43×#416C22semidirect
202. C2×#103×C43C22semidirect
828. #62028C43direct (N × H)
883. #3562C2×C43semidirect
884. #3513C2×C43semidirect
885. #3403C2×C43semidirect
886. #3394C2×C43semidirect
887. #3376C2×C43semidirect
888. #3361C2×C43semidirect
889. #3332C2×C43semidirect
890. #3323C2×C43semidirect
891. #3322C2×C43semidirect
892. #3315C2×C43semidirect
893. #3308C2×C43semidirect
894. #3301C2×C43semidirect
895. #3280C2×C43semidirect
896. #3275C2×C43semidirect
897. #3275C2×C43semidirect
898. #3272C2×C43semidirect
899. #3268C2×C43semidirect
900. #3264C2×C43semidirect
901. #3259C2×C43semidirect
902. #3258C2×C43semidirect
903. #3256C2×C43semidirect
904. #3224C2×C43semidirect
905. #3221C2×C43semidirect
906. #3212C2×C43semidirect
907. #3123C2×C43semidirect
908. #3119C2×C43semidirect
909. #3105C2×C43semidirect
910. #3046C2×C43semidirect
911. #3041C2×C43semidirect
912. #3036C2×C43semidirect
913. #2993C2×C43semidirect
926. C2×#137C22×C43semidirect
929. C2×AGL(1,ℤ/8)C22×C43semidirect
934. #559C22×C43semidirect
935. #559C22×C43semidirect
936. #556C22×C43semidirect
937. #554C22×C43semidirect
945. #550C22×C43semidirect
946. #548C22×C43semidirect
947. #548C22×C43semidirect
949. #547C22×C43semidirect
953. #546C22×C43semidirect
954. #546C22×C43semidirect
957. #541C22×C43semidirect
959. #540C22×C43semidirect
960. #540C22×C43semidirect
966. #536C22×C43semidirect
967. #535C22×C43semidirect
968. #532C22×C43semidirect
970. #529C22×C43semidirect
971. #529C22×C43semidirect
974. #520C22×C43semidirect
976. C2×C4×D4C22×C43semidirect
978. #496C22×C43semidirect
979. #495C22×C43semidirect
980. #495C22×C43semidirect
981. #495C22×C43semidirect
982. #492C22×C43semidirect
983. #491C22×C43semidirect
984. #489C22×C43semidirect
985. #488C22×C43semidirect
986. #488C22×C43semidirect
987. #488C22×C43semidirect
988. #486C22×C43semidirect
989. #485C22×C43semidirect
990. #485C22×C43semidirect
991. #484C22×C43semidirect
992. #481C22×C43semidirect
993. #481C22×C43semidirect
994. #480C22×C43semidirect
995. #479C22×C43semidirect
996. #479C22×C43semidirect
997. #478C22×C43semidirect
998. #478C22×C43semidirect
999. #478C22×C43semidirect
1000. #478C22×C43semidirect
1001. #478C22×C43semidirect
1002. #478C22×C43semidirect
1003. #477C22×C43semidirect
1004. #475C22×C43semidirect
1005. #470C22×C43semidirect
1006. #470C22×C43semidirect
1008. #469C22×C43semidirect
1009. #469C22×C43semidirect
1011. #468C22×C43semidirect
1012. #468C22×C43semidirect
1013. #467C22×C43semidirect
1014. #466C22×C43semidirect
1015. #466C22×C43semidirect
1017. #464C22×C43semidirect
1018. #464C22×C43semidirect
1019. #464C22×C43semidirect
1020. #464C22×C43semidirect
1021. #464C22×C43semidirect
1026. #463C22×C43semidirect
1027. #463C22×C43semidirect
1028. #463C22×C43semidirect
1029. #463C22×C43semidirect
1030. #463C22×C43semidirect
1031. #463C22×C43semidirect
1032. #463C22×C43semidirect
1033. #462C22×C43semidirect
1034. #462C22×C43semidirect
1035. #461C22×C43semidirect
1036. #461C22×C43semidirect
1037. #461C22×C43semidirect
1038. #461C22×C43semidirect
1039. #460C22×C43semidirect
1043. #459C22×C43semidirect
1044. #459C22×C43semidirect
1045. #459C22×C43semidirect
1046. #459C22×C43semidirect
1047. #452C22×C43semidirect
1048. #452C22×C43semidirect
1049. #452C22×C43semidirect
1052. #450C22×C43semidirect
1053. #450C22×C43semidirect
1057. #449C22×C43semidirect
1058. #449C22×C43semidirect
1059. #449C22×C43semidirect
1060. #449C22×C43semidirect
1061. #448C22×C43semidirect
1062. #448C22×C43semidirect
1065. #446C22×C43semidirect
1066. C8×Q8C22×C43semidirect
1068. #440C22×C43semidirect
1069. #440C22×C43semidirect
1070. #440C22×C43semidirect
1071. C4×SD16C22×C43semidirect
1072. C4×SD16C22×C43semidirect
1073. C4×SD16C22×C43semidirect
1074. C4×SD16C22×C43semidirect
1075. C4×SD16C22×C43semidirect
1077. C4×D8C22×C43semidirect
1078. C4×D8C22×C43semidirect
1080. #436C22×C43semidirect
1081. #436C22×C43semidirect
1083. #435C22×C43semidirect
1084. C8×D4C22×C43semidirect
1085. #433C22×C43semidirect
1086. #433C22×C43semidirect
1087. #431C22×C43semidirect
1088. #424C22×C43semidirect
1089. #424C22×C43semidirect
1090. #423C22×C43semidirect
1091. #418C22×C43semidirect
1092. #417C22×C43semidirect
1093. #417C22×C43semidirect
1094. #417C22×C43semidirect
1095. #416C22×C43semidirect
1096. C2×#103C22×C43semidirect
1097. C43#62028direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#35622
C43×#35132
C43×#34032
C43×#33942
C43×#33762
C43×#33612
C43×#33322
C43×#33232
C43×#33222
C43×#33152
C43×#33082
C43×#33012
C43×#32802
C43×#32752
C43×#32722
C43×#32682
C43×#32642
C43×#32592
C43×#32582
C43×#32562
C43×#32242
C43×#32212
C43×#32122
C43×#31232
C43×#31192
C43×#31052
C43×#30462
C43×#30412
C43×#30362
C43×#29932
#6202843