Finite Group Databasebeta

← C43×#62076 #24982093

Subgroups — C43×#62076 #24982093

Order 11008.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3562C211yesmaximal, characteristic, complemented
2C43×#3520C211yesmaximal, characteristic, complemented
3C43×#3402C211yesmaximal, characteristic, complemented
4C43×#3401C211yesmaximal, characteristic, complemented
5C43×#3373C211yesmaximal, characteristic, complemented
6C43×#3367C211yesmaximal, characteristic, complemented
7C43×#3333C211yesmaximal, characteristic, complemented
8C43×#3331C211yesmaximal, characteristic, complemented
9C43×#3316C211yesmaximal, characteristic, complemented
10C43×#3314C211yesmaximal, characteristic, complemented
11C43×#3308C211yesmaximal, characteristic, complemented
12C43×#3306C211yesmaximal, characteristic, complemented
13C43×#3275C211yesmaximal, characteristic, complemented
14C43×#3273C211yesmaximal, characteristic, complemented
15C43×#3269C211yesmaximal, characteristic, complemented
16C43×#3268C211yesmaximal, characteristic, complemented
17C43×#3267C211yesmaximal, characteristic, complemented
18C43×#3267C211yesmaximal, characteristic, complemented
19C43×#3258C211yesmaximal, characteristic, complemented
20C43×#3257C211yesmaximal, characteristic, complemented
21C43×#3252C211yesmaximal, characteristic, complemented
22C43×#3225C211yesmaximal, characteristic, complemented
23C43×#3224C211yesmaximal, characteristic, complemented
24C43×#3216C211yesmaximal, characteristic, complemented
25C43×#3120C211yesmaximal, characteristic, complemented
26C43×#3119C211yesmaximal, characteristic, complemented
27C43×#3114C211yesmaximal, characteristic, complemented
28C43×#3046C211yesmaximal, characteristic, complemented
29C43×#3045C211yesmaximal, characteristic, complemented
30C43×#3036C211yesmaximal, characteristic, complemented
31C43×#2995C211yesmaximal, 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
37C2×#135×C43C2211yescharacteristic
38C43×#562—21no—
39C43×#560—21no—
40C43×#559C2211yescharacteristic, complemented
41C43×#556C2211yescharacteristic, complemented
42C43×#556C2211yescharacteristic, complemented
43C43×#554C2211yescharacteristic
44C43×#554C2211yescharacteristic, complemented
45C43×#553—21no—
46C43×#552—21no—
47C43×#551—21no—
48C43×#551—21no—
49C43×#551—21no—
50C43×#550C2211yescharacteristic
51D4×Q8×C43C2211yescharacteristic, complemented
52C43×#548—21no—
53C43×#548C2211yescharacteristic
54C43×#548C2211yescharacteristic, complemented
55C43×#547C2211yescharacteristic
56C43×#547C2211yescharacteristic
57C43×#547C2211yescharacteristic
58C43×#546C2211yescharacteristic
59C43×#546C2211yescharacteristic
60C43×#546C2211yescharacteristic, complemented
61C43×#546C2211yescharacteristic, complemented
62C43×#542C2211yescharacteristic
63C43×#542C2211yescharacteristic, complemented
64C43×#541C2211yescharacteristic, complemented
65C43×#540—21no—
66C43×#540C2211yescharacteristic, complemented
67C43×#539—21no—
68C43×#539—21no—
69C43×#539—21no—
70C43×#538—21no—
71C43×#538—21no—
72C43×#536C2211yescharacteristic, complemented
73C43×#535C2211yescharacteristic, complemented
74C43×#533C2211yescharacteristic, complemented
75C43×#532C2211yescharacteristic
76C43×#529C2211yescharacteristic
77C43×#529C2211yescharacteristic
78C43×#525—21no—
79C2×C22⋊Q8×C43—21no—
80C43×#520C2211yescharacteristic
81C43×#520C2211yescharacteristic, complemented
82C2×C4×D4×C43C2211yescharacteristic, complemented
83C43×#497C2211yescharacteristic, complemented
84C43×#497C2211yescharacteristic, complemented
85C43×#497C2211yescharacteristic, complemented
86C43×#496C2211yescharacteristic
87C43×#495C2211yescharacteristic
88C43×#495C2211yescharacteristic
89C43×#489C2211yescharacteristic, complemented
90C43×#489C2211yescharacteristic, complemented
91C43×#489C2211yescharacteristic, complemented
92C43×#489C2211yescharacteristic, complemented
93C43×#487C2211yescharacteristic, complemented
94C43×#486C2211yescharacteristic, complemented
95C43×#484C2211yescharacteristic, complemented
96C43×#483C2211yescharacteristic, complemented
97C43×#483C2211yescharacteristic, complemented
98C43×#481C2211yescharacteristic, complemented
99C43×#480C2211yescharacteristic
100C43×#480C2211yescharacteristic, complemented
101C43×#479C2211yescharacteristic, complemented
102C43×#479C2211yescharacteristic, complemented
103C43×#478C2211yescharacteristic, complemented
104C43×#478C2211yescharacteristic, complemented
105C43×#477C2211yescharacteristic, complemented
106C43×#477C2211yescharacteristic, complemented
107C43×#476C2211yescharacteristic, complemented
108C43×#476C2211yescharacteristic, complemented
109C43×#475C2211yescharacteristic, complemented
110C43×#474C2211yescharacteristic, complemented
111C43×#470C2211yescharacteristic, complemented
112C43×#470C2211yescharacteristic, complemented
113C43×#470C2211yescharacteristic, complemented
114C43×#469C2211yescharacteristic
115C43×#468C2211yescharacteristic
116C43×#468C2211yescharacteristic
117C43×#468C2211yescharacteristic
118C43×#468C2211yescharacteristic, complemented
119C43×#467C2211yescharacteristic, complemented
120C43×#466C2211yescharacteristic, complemented
121C43×#465C2211yescharacteristic
122C43×#465C2211yescharacteristic, complemented
123C43×#464C2211yescharacteristic, complemented
124C43×#464C2211yescharacteristic, complemented
125C43×#464C2211yescharacteristic, complemented
126C43×#464C2211yescharacteristic, complemented
127C43×#464C2211yescharacteristic, complemented
128C43×#464C2211yescharacteristic, complemented
129C43×#463C2211yescharacteristic
130C43×#463C2211yescharacteristic
131C43×#463C2211yescharacteristic
132C43×#463C2211yescharacteristic
133C43×#463C2211yescharacteristic
134C43×#463C2211yescharacteristic
135C43×#463C2211yescharacteristic
136C43×#463C2211yescharacteristic, complemented
137C43×#463C2211yescharacteristic, complemented
138C43×#463C2211yescharacteristic, complemented
139C43×#462C2211yescharacteristic, complemented
140C43×#462C2211yescharacteristic, complemented
141C43×#462C2211yescharacteristic, complemented
142C43×#462C2211yescharacteristic, complemented
143C43×#461C2211yescharacteristic, complemented
144C43×#461C2211yescharacteristic, complemented
145C43×#461C2211yescharacteristic, complemented
146C43×#461C2211yescharacteristic, complemented
147C43×#460C2211yescharacteristic, complemented
148C43×#460C2211yescharacteristic, complemented
149C43×#460C2211yescharacteristic, complemented
150C43×#459C2211yescharacteristic
151C43×#459C2211yescharacteristic
152C43×#459C2211yescharacteristic
153C43×#452C2211yescharacteristic
154C43×#452C2211yescharacteristic
155C43×#452C2211yescharacteristic
156C43×#452C2211yescharacteristic
157C43×#452C2211yescharacteristic, complemented
158C43×#452C2211yescharacteristic, complemented
159C43×#452C2211yescharacteristic, complemented
160C43×#452C2211yescharacteristic, complemented
161C43×#451C2211yescharacteristic, complemented
162C43×#450C2211yescharacteristic, complemented
163C43×#450C2211yescharacteristic, complemented
164C43×#449C2211yescharacteristic
165C43×#449C2211yescharacteristic
166C43×#449C2211yescharacteristic
167C43×#449C2211yescharacteristic, complemented
168C43×#448C2211yescharacteristic, complemented
169C43×#447C2211yescharacteristic
170C43×#447C2211yescharacteristic
171C43×#446C2211yescharacteristic, complemented
172C43×#446C2211yescharacteristic, complemented
173C43×#442C2211yescharacteristic
174C43×#442C2211yescharacteristic
175C43×#442C2211yescharacteristic, complemented
176C43×#441C2211yescharacteristic, complemented
177C43×#440C2211yescharacteristic, complemented
178C43×#440C2211yescharacteristic, complemented
179C43×#440C2211yescharacteristic, complemented
180C43×#440C2211yescharacteristic, complemented
181C4×Q16×C43C2211yescharacteristic, complemented
182C4×SD16×C43C2211yescharacteristic, complemented
183C4×SD16×C43C2211yescharacteristic, complemented
184C4×D8×C43C2211yescharacteristic
185C43×#436C2211yescharacteristic
186C43×#436C2211yescharacteristic, complemented
187C43×#435C2211yescharacteristic
188C43×#435C2211yescharacteristic, complemented
189C43×#435C2211yescharacteristic, complemented
190C43×#435C2211yescharacteristic, complemented
191C43×#433C2211yescharacteristic, complemented
192C43×#433C2211yescharacteristic, complemented
193C43×#432C2211yescharacteristic, complemented
194C43×#424C2211yescharacteristic, complemented
195C43×#424C2211yescharacteristic, complemented
196C43×#423C2211yescharacteristic, complemented
197C43×#417C2211yescharacteristic
198C43×#417C2211yescharacteristic, complemented
199C43×#417C2211yescharacteristic, complemented
200C43×#417C2211yescharacteristic, complemented
201C2×#103×C43C2211yescharacteristic, complemented
202C2×#102×C43C2211yescharacteristic, complemented
203C2×#41×C43—21no—
204C2×#41×C43C2311yescharacteristic
205C2×#41×C43C2311yescharacteristic
206C2×#41×C43C2311yescharacteristic
207C2×#41×C43C2311yescharacteristic
208C2×#41×C43C2311yescharacteristic
209C2×#41×C43C2311yescharacteristic
210C22×Q8×C43—21no—
211C22×Q8×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—
220#135×C43—42no—
221C2×Q16×C43C2311yescharacteristic
222C2×Q16×C43C2311yescharacteristic
223C2×Q16×C43C2311yescharacteristic
224C2×Q16×C43C2311yescharacteristic
225C2×Q16×C43C2311yescharacteristic
226C2×Q16×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×SD16×C43C2311yescharacteristic
236C2×SD16×C43C2311yescharacteristic
237C2×SD16×C43C2311yescharacteristic
238C2×SD16×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
254C4⋊Q8×C43C2311yescharacteristic
255C4⋊Q8×C43C2311yescharacteristic
256C4⋊Q8×C43C2311yescharacteristic
257#127×C43—21no—
258#127×C43C2311yescharacteristic
259#127×C43C2311yescharacteristic
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×C43—21no—
268#126×C43—21no—
269#126×C43D411yescharacteristic
270#126×C43D411yescharacteristic
271#125×C43—21no—
272#125×C43—21no—
273#125×C43—21no—
274#125×C43—21no—
275#125×C43—21no—
276#125×C43D411yescharacteristic
277#125×C43C2311yescharacteristic
278#124×C43—21no—
279#124×C43—21no—
280#124×C43—21no—
281#124×C43—21no—
282#124×C43—21no—
283#124×C43D411yescharacteristic
284#124×C43C2311yescharacteristic
285#124×C43C2311yescharacteristic
286#124×C43C2311yescharacteristic
287#124×C43C2311yescharacteristic
288#124×C43C2311yescharacteristic
289#124×C43C2311yescharacteristic
290#124×C43C2311yescharacteristic
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×C43D411yescharacteristic
311#123×C43D411yescharacteristic
312C22⋊Q8×C43—21no—
313C22⋊Q8×C43—21no—
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×C43—21no—
325C22⋊Q8×C43—21no—
326C22⋊Q8×C43—21no—
327C22⋊Q8×C43—21no—
328C22⋊Q8×C43—21no—
329C22⋊Q8×C43D411yescharacteristic
330C22⋊Q8×C43C2311yescharacteristic
331C22⋊Q8×C43C2311yescharacteristic
332C22⋊Q8×C43C2311yescharacteristic
333C22⋊Q8×C43C2311yescharacteristic
334C22⋊Q8×C43C2311yescharacteristic
335C22⋊Q8×C43C2311yescharacteristic
336C22⋊Q8×C43C2311yescharacteristic
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×C43—21no—
350#121×C43—21no—
351#121×C43—21no—
352#121×C43—21no—
353#121×C43D411yescharacteristic
354#121×C43C2311yescharacteristic
355#121×C43C2311yescharacteristic
356#121×C43C2311yescharacteristic
357#121×C43C2311yescharacteristic
358#121×C43C2311yescharacteristic
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×C43—21no—
366C4×Q8×C43C2311yescharacteristic
367C4×Q8×C43C2311yescharacteristic
368C4×Q8×C43C2311yescharacteristic
369C4×Q8×C43C2311yescharacteristic
370C4×Q8×C43C2311yescharacteristic
371C4×Q8×C43C2311yescharacteristic
372C4×Q8×C43C2311yescharacteristic
373C4×Q8×C43C2311yescharacteristic
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×C43—21no—
388C4×D4×C43—21no—
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×C43—21no—
407#117×C43C2311yescharacteristic
408#117×C43C2311yescharacteristic
409C2×C4⋊C4×C43—21no—
410C2×C4⋊C4×C43—21no—
411C2×C4⋊C4×C43—21no—
412C2×C4⋊C4×C43—21no—
413C2×C4⋊C4×C43C2311yescharacteristic
414C2×C4⋊C4×C43C2311yescharacteristic
415C2×C4⋊C4×C43C2311yescharacteristic
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#103×C43C2311yescharacteristic
455#103×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
480#97×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482C4×C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C24×C43—21no—
485C24×C43—21no—
486#41×C43—22no—
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—41no—
498#41×C43—82no—
499C2×Q8×C43—21no—
500C2×Q8×C43—21no—
501C2×Q8×C43—21no—
502C2×Q8×C43—21no—
503C2×Q8×C43—41no—
504C2×Q8×C43—41no—
505C2×Q8×C43—82no—
506C2×Q8×C43C2×D411yescharacteristic
507C2×Q8×C43C2411yescharacteristic
508C2×Q8×C43C2411yescharacteristic
509C2×Q8×C43C2411yescharacteristic
510C2×Q8×C43C2411yescharacteristic
511C2×Q8×C43C2411yescharacteristic
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—21no—
529C2×D4×C43—22no—
530C2×D4×C43—41no—
531C2×D4×C43—41no—
532C2×D4×C43—41no—
533C2×D4×C43C2×D411yescharacteristic
534C2×D4×C43C2×D411yescharacteristic
535C2×D4×C43C2×D411yescharacteristic
536C2×D4×C43C2411yescharacteristic
537C2×D4×C43C2411yescharacteristic
538C2×D4×C43C2411yescharacteristic
539C2×D4×C43C2411yescharacteristic
540C2×D4×C43C2411yescharacteristic
541C22×C4×C43—21no—
542C22×C4×C43—21no—
543C22×C4×C43—21no—
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—82no—
561C22×C4×C43C2×D411yescharacteristic
562C22×C4×C43C2×D411yescharacteristic
563C22×C4×C43C2411yescharacteristic
564C22×C4×C43C2411yescharacteristic
565C22×C4×C43C2411yescharacteristic
566Q16×C43—41no—
567Q16×C43—41no—
568Q16×C43—41no—
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—
590M16×C43—41no—
591M16×C43—41no—
592M16×C43—41no—
593M16×C43—41no—
594C2×C8×C43—41no—
595C2×C8×C43—41no—
596C2×C8×C43C2411yescharacteristic
597C2×C8×C43C2411yescharacteristic
598C2×C8×C43C2411yescharacteristic
599C2×C8×C43C2411yescharacteristic
600C2×C8×C43C2411yescharacteristic
601C2×C8×C43C2411yescharacteristic
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
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×C43—21no—
631C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
641C4⋊C4×C43C2×D411yescharacteristic
642C4⋊C4×C43C2411yescharacteristic
643C4⋊C4×C43C2411yescharacteristic
644C4⋊C4×C43C2411yescharacteristic
645C4⋊C4×C43C2411yescharacteristic
646C4⋊C4×C43C2411yescharacteristic
647C4⋊C4×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
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
693C42×C43—21no—
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—42no—
712C23×C43—42no—
713C23×C43—81no—
714C23×C43—81no—
715C23×C43—81no—
716C23×C43—81no—
717C23×C43C22×D411yescharacteristic
718C23×C43C22×D411yescharacteristic
719C23×C43C22×D411yescharacteristic
720Q8×C43—21no—
721Q8×C43—21no—
722Q8×C43—21no—
723Q8×C43—21no—
724Q8×C43—21no—
725Q8×C43—21no—
726Q8×C43—21no—
727Q8×C43—21no—
728Q8×C43—21no—
729Q8×C43—21no—
730Q8×C43—41no—
731Q8×C43—42no—
732Q8×C43—81no—
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—41no—
745D4×C43—41no—
746D4×C43—41no—
747D4×C43—42no—
748D4×C43—42no—
749D4×C43—42no—
750D4×C43—81no—
751D4×C43—81no—
752D4×C43—81no—
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×C43H(5,𝔽2)12yes—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
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—41no—
783C2×C4×C43—41no—
784C2×C4×C43—42no—
785C2×C4×C43—42no—
786C2×C4×C43—42no—
787C2×C4×C43—42no—
788C2×C4×C43—81no—
789C2×C4×C43—81no—
790C2×C4×C43—81no—
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×C43C22×D411yescharacteristic
804C2×C4×C43C22×D411yescharacteristic
805C2×C4×C43C22×D411yescharacteristic
806C2×C4×C43C22×D411yescharacteristic
807C2×C4×C43C22×D411yescharacteristic
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×C43C2511yescharacteristic
815C8×C43—21no—
816C8×C43—21no—
817C8×C43—21no—
818C8×C43—21no—
819C8×C43—21no—
820C8×C43—21no—
821C8×C43—21no—
822C8×C43—21no—
823#62076C4311yesmaximal, characteristic, direct product factor, Sylow
824C22×C43—21no—
825C22×C43—21no—
826C22×C43—21no—
827C22×C43—21no—
828C22×C43—21no—
829C22×C43—21no—
830C22×C43—22no—
831C22×C43—21no—
832C22×C43—21no—
833C22×C43—21no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
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—84no—
849C22×C43—162no—
850C22×C43C23×D411yescharacteristic
851C4×C43—21no—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—21no—
858C4×C43—21no—
859C4×C43—21no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—41no—
863C4×C43—41no—
864C4×C43—41no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43—41no—
870C4×C43—41no—
871C4×C43—41no—
872C4×C43—41no—
873C4×C43C2×H(5,𝔽2)11yescharacteristic
874C4×C43#58511yescharacteristic
875#3562C2×C4311yescharacteristic, complemented
876#3520C2×C4311yescharacteristic, complemented
877#3402C2×C4311yescharacteristic, complemented
878#3401C2×C4311yescharacteristic, complemented
879#3373C2×C4311yescharacteristic, complemented
880#3367C2×C4311yescharacteristic, complemented
881#3333C2×C4311yescharacteristic, complemented
882#3331C2×C4311yescharacteristic, complemented
883#3316C2×C4311yescharacteristic, complemented
884#3314C2×C4311yescharacteristic, complemented
885#3308C2×C4311yescharacteristic, complemented
886#3306C2×C4311yescharacteristic, complemented
887#3275C2×C4311yescharacteristic, complemented
888#3273C2×C4311yescharacteristic, complemented
889#3269C2×C4311yescharacteristic, complemented
890#3268C2×C4311yescharacteristic, complemented
891#3267C2×C4311yescharacteristic, complemented
892#3267C2×C4311yescharacteristic, complemented
893#3258C2×C4311yescharacteristic, complemented
894#3257C2×C4311yescharacteristic, complemented
895#3252C2×C4311yescharacteristic, complemented
896#3225C2×C4311yescharacteristic, complemented
897#3224C2×C4311yescharacteristic, complemented
898#3216C2×C4311yescharacteristic, complemented
899#3120C2×C4311yescharacteristic, complemented
900#3119C2×C4311yescharacteristic, complemented
901#3114C2×C4311yescharacteristic, complemented
902#3046C2×C4311yescharacteristic, complemented
903#3045C2×C4311yescharacteristic, complemented
904#3036C2×C4311yescharacteristic, complemented
905#2995C2×C4311yescharacteristic, complemented
906C2×C43—41no—
907C2×C43—41no—
908C2×C43—41no—
909C2×C43—42no—
910C2×C43—81no—
911C2×C43—81no—
912C2×C43—81no—
913C2×C43—81no—
914C2×C43#348811yescharacteristic
915C2×C43#358511yescharacteristic
916C2×C43#358611yescharacteristic
917C2×#137C22×C4311yescharacteristic, complemented
918C2×AGL(1,ℤ/8)C22×C4311yescharacteristic
919C2×AGL(1,ℤ/8)C22×C4311yescharacteristic
920C2×AGL(1,ℤ/8)C22×C4311yescharacteristic, complemented
921C2×#135C22×C4311yescharacteristic
922C2×#135C22×C4311yescharacteristic
923#562—21no—
924#560—21no—
925#559C22×C4311yescharacteristic, complemented
926#556C22×C4311yescharacteristic, complemented
927#556C22×C4311yescharacteristic, complemented
928#554C22×C4311yescharacteristic
929#554C22×C4311yescharacteristic, complemented
930#553—21no—
931#552—21no—
932#551—21no—
933#551—21no—
934#551—21no—
935#550C22×C4311yescharacteristic
936D4×Q8C22×C4311yescharacteristic, complemented
937#548—21no—
938#548C22×C4311yescharacteristic
939#548C22×C4311yescharacteristic, complemented
940#547C22×C4311yescharacteristic
941#547C22×C4311yescharacteristic
942#547C22×C4311yescharacteristic
943#546C22×C4311yescharacteristic
944#546C22×C4311yescharacteristic
945#546C22×C4311yescharacteristic, complemented
946#546C22×C4311yescharacteristic, complemented
947#542C22×C4311yescharacteristic
948#542C22×C4311yescharacteristic, complemented
949#541C22×C4311yescharacteristic, complemented
950#540—21no—
951#540C22×C4311yescharacteristic, complemented
952#539—21no—
953#539—21no—
954#539—21no—
955#538—21no—
956#538—21no—
957#536C22×C4311yescharacteristic, complemented
958#535C22×C4311yescharacteristic, complemented
959#533C22×C4311yescharacteristic, complemented
960#532C22×C4311yescharacteristic
961#529C22×C4311yescharacteristic
962#529C22×C4311yescharacteristic
963#525—21no—
964C2×C22⋊Q8—21no—
965#520C22×C4311yescharacteristic
966#520C22×C4311yescharacteristic, complemented
967C2×C4×D4C22×C4311yescharacteristic, complemented
968#497C22×C4311yescharacteristic, complemented
969#497C22×C4311yescharacteristic, complemented
970#497C22×C4311yescharacteristic, complemented
971#496C22×C4311yescharacteristic
972#495C22×C4311yescharacteristic
973#495C22×C4311yescharacteristic
974#489C22×C4311yescharacteristic, complemented
975#489C22×C4311yescharacteristic, complemented
976#489C22×C4311yescharacteristic, complemented
977#489C22×C4311yescharacteristic, complemented
978#487C22×C4311yescharacteristic, complemented
979#486C22×C4311yescharacteristic, complemented
980#484C22×C4311yescharacteristic, complemented
981#483C22×C4311yescharacteristic, complemented
982#483C22×C4311yescharacteristic, complemented
983#481C22×C4311yescharacteristic, complemented
984#480C22×C4311yescharacteristic
985#480C22×C4311yescharacteristic, complemented
986#479C22×C4311yescharacteristic, complemented
987#479C22×C4311yescharacteristic, complemented
988#478C22×C4311yescharacteristic, complemented
989#478C22×C4311yescharacteristic, complemented
990#477C22×C4311yescharacteristic, complemented
991#477C22×C4311yescharacteristic, complemented
992#476C22×C4311yescharacteristic, complemented
993#476C22×C4311yescharacteristic, complemented
994#475C22×C4311yescharacteristic, complemented
995#474C22×C4311yescharacteristic, complemented
996#470C22×C4311yescharacteristic, complemented
997#470C22×C4311yescharacteristic, complemented
998#470C22×C4311yescharacteristic, complemented
999#469C22×C4311yescharacteristic
1000#468C22×C4311yescharacteristic
1001#468C22×C4311yescharacteristic
1002#468C22×C4311yescharacteristic
1003#468C22×C4311yescharacteristic, complemented
1004#467C22×C4311yescharacteristic, complemented
1005#466C22×C4311yescharacteristic, complemented
1006#465C22×C4311yescharacteristic
1007#465C22×C4311yescharacteristic, complemented
1008#464C22×C4311yescharacteristic, complemented
1009#464C22×C4311yescharacteristic, complemented
1010#464C22×C4311yescharacteristic, complemented
1011#464C22×C4311yescharacteristic, complemented
1012#464C22×C4311yescharacteristic, complemented
1013#464C22×C4311yescharacteristic, complemented
1014#463C22×C4311yescharacteristic
1015#463C22×C4311yescharacteristic
1016#463C22×C4311yescharacteristic
1017#463C22×C4311yescharacteristic
1018#463C22×C4311yescharacteristic
1019#463C22×C4311yescharacteristic
1020#463C22×C4311yescharacteristic
1021#463C22×C4311yescharacteristic, complemented
1022#463C22×C4311yescharacteristic, complemented
1023#463C22×C4311yescharacteristic, complemented
1024#462C22×C4311yescharacteristic, complemented
1025#462C22×C4311yescharacteristic, complemented
1026#462C22×C4311yescharacteristic, complemented
1027#462C22×C4311yescharacteristic, complemented
1028#461C22×C4311yescharacteristic, complemented
1029#461C22×C4311yescharacteristic, complemented
1030#461C22×C4311yescharacteristic, complemented
1031#461C22×C4311yescharacteristic, complemented
1032#460C22×C4311yescharacteristic, complemented
1033#460C22×C4311yescharacteristic, complemented
1034#460C22×C4311yescharacteristic, complemented
1035#459C22×C4311yescharacteristic
1036#459C22×C4311yescharacteristic
1037#459C22×C4311yescharacteristic
1038#452C22×C4311yescharacteristic
1039#452C22×C4311yescharacteristic
1040#452C22×C4311yescharacteristic
1041#452C22×C4311yescharacteristic
1042#452C22×C4311yescharacteristic, complemented
1043#452C22×C4311yescharacteristic, complemented
1044#452C22×C4311yescharacteristic, complemented
1045#452C22×C4311yescharacteristic, complemented
1046#451C22×C4311yescharacteristic, complemented
1047#450C22×C4311yescharacteristic, complemented
1048#450C22×C4311yescharacteristic, complemented
1049#449C22×C4311yescharacteristic
1050#449C22×C4311yescharacteristic
1051#449C22×C4311yescharacteristic
1052#449C22×C4311yescharacteristic, complemented
1053#448C22×C4311yescharacteristic, complemented
1054#447C22×C4311yescharacteristic
1055#447C22×C4311yescharacteristic
1056#446C22×C4311yescharacteristic, complemented
1057#446C22×C4311yescharacteristic, complemented
1058#442C22×C4311yescharacteristic
1059#442C22×C4311yescharacteristic
1060#442C22×C4311yescharacteristic, complemented
1061#441C22×C4311yescharacteristic, complemented
1062#440C22×C4311yescharacteristic, complemented
1063#440C22×C4311yescharacteristic, complemented
1064#440C22×C4311yescharacteristic, complemented
1065#440C22×C4311yescharacteristic, complemented
1066C4×Q16C22×C4311yescharacteristic, complemented
1067C4×SD16C22×C4311yescharacteristic, complemented
1068C4×SD16C22×C4311yescharacteristic, complemented
1069C4×D8C22×C4311yescharacteristic
1070#436C22×C4311yescharacteristic
1071#436C22×C4311yescharacteristic, complemented
1072#435C22×C4311yescharacteristic
1073#435C22×C4311yescharacteristic, complemented
1074#435C22×C4311yescharacteristic, complemented
1075#435C22×C4311yescharacteristic, complemented
1076#433C22×C4311yescharacteristic, complemented
1077#433C22×C4311yescharacteristic, complemented
1078#432C22×C4311yescharacteristic, complemented
1079#424C22×C4311yescharacteristic, complemented
1080#424C22×C4311yescharacteristic, complemented
1081#423C22×C4311yescharacteristic, complemented
1082#417C22×C4311yescharacteristic
1083#417C22×C4311yescharacteristic, complemented
1084#417C22×C4311yescharacteristic, complemented
1085#417C22×C4311yescharacteristic, complemented
1086C2×#103C22×C4311yescharacteristic, complemented
1087C2×#102C22×C4311yescharacteristic, complemented
1088C43#6207611yescharacteristic, direct product factor, Sylow
1089C2×#41—21no—
1090C2×#41C23×C4311yescharacteristic
1091C2×#41C23×C4311yescharacteristic
1092C2×#41C23×C4311yescharacteristic
1093C2×#41C23×C4311yescharacteristic
1094C2×#41C23×C4311yescharacteristic
1095C2×#41C23×C4311yescharacteristic
1096C22×Q8—21no—
1097C22×Q8C23×C4311yescharacteristic
1098C22×D4C23×C4311yescharacteristic
1099C22×D4C23×C4311yescharacteristic
1100C23×C4—21no—
1101#137—42no—
1102AGL(1,ℤ/8)—42no—
1103AGL(1,ℤ/8)—42no—
1104AGL(1,ℤ/8)—42no—
1105#135—42no—
1106#135—42no—
1107C2×Q16C23×C4311yescharacteristic
1108C2×Q16C23×C4311yescharacteristic
1109C2×Q16C23×C4311yescharacteristic
1110C2×Q16C23×C4311yescharacteristic
1111C2×Q16C23×C4311yescharacteristic
1112C2×Q16C23×C4311yescharacteristic
1113C2×SD16C23×C4311yescharacteristic
1114C2×SD16C23×C4311yescharacteristic
1115C2×SD16C23×C4311yescharacteristic
1116C2×SD16C23×C4311yescharacteristic
1117C2×SD16C23×C4311yescharacteristic
1118C2×SD16C23×C4311yescharacteristic
1119C2×SD16C23×C4311yescharacteristic
1120C2×SD16C23×C4311yescharacteristic
1121C2×SD16C23×C4311yescharacteristic
1122C2×SD16C23×C4311yescharacteristic
1123C2×SD16C23×C4311yescharacteristic
1124C2×SD16C23×C4311yescharacteristic
1125C2×D8C23×C4311yescharacteristic
1126C2×D8C23×C4311yescharacteristic
1127C2×D8C23×C4311yescharacteristic
1128C2×D8C23×C4311yescharacteristic
1129C2×D8C23×C4311yescharacteristic
1130C2×D8C23×C4311yescharacteristic
1131C2×M16C23×C4311yescharacteristic
1132C2×M16C23×C4311yescharacteristic
1133C2×M16C23×C4311yescharacteristic
1134C2×M16C23×C4311yescharacteristic
1135C22×C8C23×C4311yescharacteristic
1136C22×C8C23×C4311yescharacteristic
1137C4⋊Q8C23×C4311yescharacteristic
1138C4⋊Q8C23×C4311yescharacteristic
1139C4⋊Q8C23×C4311yescharacteristic
1140C4⋊Q8C23×C4311yescharacteristic
1141C4⋊Q8C23×C4311yescharacteristic
1142C4⋊Q8C23×C4311yescharacteristic
1143#127—21no—
1144#127C23×C4311yescharacteristic
1145#127C23×C4311yescharacteristic
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—21no—
1150#126—21no—
1151#126—21no—
1152#126—21no—
1153#126—21no—
1154#126—21no—
1155#126D4×C4311yescharacteristic
1156#126D4×C4311yescharacteristic
1157#125—21no—
1158#125—21no—
1159#125—21no—
1160#125—21no—
1161#125—21no—
1162#125D4×C4311yescharacteristic
1163#125C23×C4311yescharacteristic
1164#124—21no—
1165#124—21no—
1166#124—21no—
1167#124—21no—
1168#124—21no—
1169#124D4×C4311yescharacteristic
1170#124C23×C4311yescharacteristic
1171#124C23×C4311yescharacteristic
1172#124C23×C4311yescharacteristic
1173#124C23×C4311yescharacteristic
1174#124C23×C4311yescharacteristic
1175#124C23×C4311yescharacteristic
1176#124C23×C4311yescharacteristic
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
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#123D4×C4311yescharacteristic
1197#123D4×C4311yescharacteristic
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8D4×C4311yescharacteristic
1216C22⋊Q8C23×C4311yescharacteristic
1217C22⋊Q8C23×C4311yescharacteristic
1218C22⋊Q8C23×C4311yescharacteristic
1219C22⋊Q8C23×C4311yescharacteristic
1220C22⋊Q8C23×C4311yescharacteristic
1221C22⋊Q8C23×C4311yescharacteristic
1222C22⋊Q8C23×C4311yescharacteristic
1223#121—21no—
1224#121—21no—
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#121D4×C4311yescharacteristic
1240#121C23×C4311yescharacteristic
1241#121C23×C4311yescharacteristic
1242#121C23×C4311yescharacteristic
1243#121C23×C4311yescharacteristic
1244#121C23×C4311yescharacteristic
1245#120—21no—
1246#120—21no—
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250#120—21no—
1251C4×Q8—21no—
1252C4×Q8C23×C4311yescharacteristic
1253C4×Q8C23×C4311yescharacteristic
1254C4×Q8C23×C4311yescharacteristic
1255C4×Q8C23×C4311yescharacteristic
1256C4×Q8C23×C4311yescharacteristic
1257C4×Q8C23×C4311yescharacteristic
1258C4×Q8C23×C4311yescharacteristic
1259C4×Q8C23×C4311yescharacteristic
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
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×D4C23×C4311yescharacteristic
1276C4×D4C23×C4311yescharacteristic
1277C4×D4C23×C4311yescharacteristic
1278C4×D4C23×C4311yescharacteristic
1279C4×D4C23×C4311yescharacteristic
1280C4×D4C23×C4311yescharacteristic
1281C4×D4C23×C4311yescharacteristic
1282C4×D4C23×C4311yescharacteristic
1283C4×D4C23×C4311yescharacteristic
1284C4×D4C23×C4311yescharacteristic
1285C4×D4C23×C4311yescharacteristic
1286C4×D4C23×C4311yescharacteristic
1287#117—21no—
1288#117—21no—
1289#117—21no—
1290#117—21no—
1291#117—21no—
1292#117—21no—
1293#117C23×C4311yescharacteristic
1294#117C23×C4311yescharacteristic
1295C2×C4⋊C4—21no—
1296C2×C4⋊C4—21no—
1297C2×C4⋊C4—21no—
1298C2×C4⋊C4—21no—
1299C2×C4⋊C4C23×C4311yescharacteristic
1300C2×C4⋊C4C23×C4311yescharacteristic
1301C2×C4⋊C4C23×C4311yescharacteristic
1302C2×C22⋊C4—21no—
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—21no—
1307C2×C42C23×C4311yescharacteristic
1308#107C23×C4311yescharacteristic
1309#107C23×C4311yescharacteristic
1310#107C23×C4311yescharacteristic
1311#107C23×C4311yescharacteristic
1312#106C23×C4311yescharacteristic
1313#106C23×C4311yescharacteristic
1314#106C23×C4311yescharacteristic
1315#106C23×C4311yescharacteristic
1316C4⋊C8C23×C4311yescharacteristic
1317C4⋊C8C23×C4311yescharacteristic
1318C4⋊C8C23×C4311yescharacteristic
1319C4⋊C8C23×C4311yescharacteristic
1320C4⋊C8C23×C4311yescharacteristic
1321C4⋊C8C23×C4311yescharacteristic
1322C4⋊C8C23×C4311yescharacteristic
1323C4⋊C8C23×C4311yescharacteristic
1324C4⋊C8C23×C4311yescharacteristic
1325C4⋊C8C23×C4311yescharacteristic
1326#103C23×C4311yescharacteristic
1327#103C23×C4311yescharacteristic
1328#103C23×C4311yescharacteristic
1329#103C23×C4311yescharacteristic
1330#103C23×C4311yescharacteristic
1331#103C23×C4311yescharacteristic
1332#103C23×C4311yescharacteristic
1333#103C23×C4311yescharacteristic
1334#103C23×C4311yescharacteristic
1335#103C23×C4311yescharacteristic
1336#103C23×C4311yescharacteristic
1337#103C23×C4311yescharacteristic
1338#103C23×C4311yescharacteristic
1339#103C23×C4311yescharacteristic
1340#103C23×C4311yescharacteristic
1341#103C23×C4311yescharacteristic
1342#102C23×C4311yescharacteristic
1343#102C23×C4311yescharacteristic
1344#102C23×C4311yescharacteristic
1345#102C23×C4311yescharacteristic
1346#102C23×C4311yescharacteristic
1347#102C23×C4311yescharacteristic
1348#102C23×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
1358C22⋊C8C23×C4311yescharacteristic
1359C22⋊C8C23×C4311yescharacteristic
1360C22⋊C8C23×C4311yescharacteristic
1361C22⋊C8C23×C4311yescharacteristic
1362C22⋊C8C23×C4311yescharacteristic
1363C22⋊C8C23×C4311yescharacteristic
1364#97C23×C4311yescharacteristic
1365#97C23×C4311yescharacteristic
1366#97C23×C4311yescharacteristic
1367#97C23×C4311yescharacteristic
1368C4×C8C23×C4311yescharacteristic
1369C4×C8C23×C4311yescharacteristic
1370C24—21no—
1371C24—21no—
1372#41—22no—
1373#41—22no—
1374#41—41no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—41no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—82no—
1385C2×Q8—21no—
1386C2×Q8—21no—
1387C2×Q8—21no—
1388C2×Q8—21no—
1389C2×Q8—41no—
1390C2×Q8—41no—
1391C2×Q8—82no—
1392C2×Q8C2×D4×C4311yescharacteristic
1393C2×Q8C24×C4311yescharacteristic
1394C2×Q8C24×C4311yescharacteristic
1395C2×Q8C24×C4311yescharacteristic
1396C2×Q8C24×C4311yescharacteristic
1397C2×Q8C24×C4311yescharacteristic
1398C2×D4—22no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
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—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4C2×D4×C4311yescharacteristic
1420C2×D4C2×D4×C4311yescharacteristic
1421C2×D4C2×D4×C4311yescharacteristic
1422C2×D4C24×C4311yescharacteristic
1423C2×D4C24×C4311yescharacteristic
1424C2×D4C24×C4311yescharacteristic
1425C2×D4C24×C4311yescharacteristic
1426C2×D4C24×C4311yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—82no—
1447C22×C4C2×D4×C4311yescharacteristic
1448C22×C4C2×D4×C4311yescharacteristic
1449C22×C4C24×C4311yescharacteristic
1450C22×C4C24×C4311yescharacteristic
1451C22×C4C24×C4311yescharacteristic
1452Q16—41no—
1453Q16—41no—
1454Q16—41no—
1455Q16—41no—
1456Q16—41no—
1457Q16—41no—
1458SD16—22no—
1459SD16—22no—
1460SD16—22no—
1461SD16—41no—
1462SD16—41no—
1463SD16—41no—
1464SD16—41no—
1465SD16—41no—
1466SD16—41no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470D8—22no—
1471D8—22no—
1472D8—22no—
1473D8—41no—
1474D8—41no—
1475D8—41no—
1476M16—41no—
1477M16—41no—
1478M16—41no—
1479M16—41no—
1480C2×C8—41no—
1481C2×C8—41no—
1482C2×C8C24×C4311yescharacteristic
1483C2×C8C24×C4311yescharacteristic
1484C2×C8C24×C4311yescharacteristic
1485C2×C8C24×C4311yescharacteristic
1486C2×C8C24×C4311yescharacteristic
1487C2×C8C24×C4311yescharacteristic
1488C2×C8C24×C4311yescharacteristic
1489C2×C8C24×C4311yescharacteristic
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
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⋊C4C2×D4×C4311yescharacteristic
1519C4⋊C4C2×D4×C4311yescharacteristic
1520C4⋊C4C2×D4×C4311yescharacteristic
1521C4⋊C4C2×D4×C4311yescharacteristic
1522C4⋊C4C2×D4×C4311yescharacteristic
1523C4⋊C4C2×D4×C4311yescharacteristic
1524C4⋊C4C2×D4×C4311yescharacteristic
1525C4⋊C4C2×D4×C4311yescharacteristic
1526C4⋊C4C2×D4×C4311yescharacteristic
1527C4⋊C4C2×D4×C4311yescharacteristic
1528C4⋊C4C24×C4311yescharacteristic
1529C4⋊C4C24×C4311yescharacteristic
1530C4⋊C4C24×C4311yescharacteristic
1531C4⋊C4C24×C4311yescharacteristic
1532C4⋊C4C24×C4311yescharacteristic
1533C4⋊C4C24×C4311yescharacteristic
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
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⋊C4C2×D4×C4311yescharacteristic
1570C22⋊C4C2×D4×C4311yescharacteristic
1571C22⋊C4C2×D4×C4311yescharacteristic
1572C22⋊C4C2×D4×C4311yescharacteristic
1573C22⋊C4C2×D4×C4311yescharacteristic
1574C22⋊C4C2×D4×C4311yescharacteristic
1575C22⋊C4C2×D4×C4311yescharacteristic
1576C22⋊C4C2×D4×C4311yescharacteristic
1577C22⋊C4C2×D4×C4311yescharacteristic
1578C22⋊C4C2×D4×C4311yescharacteristic
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42—21no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42C2×D4×C4311yescharacteristic
1587C42C2×D4×C4311yescharacteristic
1588C42C24×C4311yescharacteristic
1589C42C24×C4311yescharacteristic
1590C42C24×C4311yescharacteristic
1591C42C24×C4311yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—42no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23C22×D4×C4311yescharacteristic
1604C23C22×D4×C4311yescharacteristic
1605C23C22×D4×C4311yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—41no—
1617Q8—42no—
1618Q8—81no—
1619Q8—81no—
1620Q8—81no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—41no—
1631D4—41no—
1632D4—41no—
1633D4—42no—
1634D4—42no—
1635D4—42no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4H(5,𝔽2)×C4312yes—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—42no—
1671C2×C4—42no—
1672C2×C4—42no—
1673C2×C4—42no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4C22×D4×C4311yescharacteristic
1690C2×C4C22×D4×C4311yescharacteristic
1691C2×C4C22×D4×C4311yescharacteristic
1692C2×C4C22×D4×C4311yescharacteristic
1693C2×C4C22×D4×C4311yescharacteristic
1694C2×C4C22×D4×C4311yescharacteristic
1695C2×C4C22×D4×C4311yescharacteristic
1696C2×C4C22×D4×C4311yescharacteristic
1697C2×C4C22×D4×C4311yescharacteristic
1698C2×C4C22×D4×C4311yescharacteristic
1699C2×C4C22×D4×C4311yescharacteristic
1700C2×C4C25×C4311yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—22no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—21no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—84no—
1734C22—162no—
1735C22C23×D4×C4311yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4C2×H(5,𝔽2)×C4311yescharacteristic
1759C4C43×#58511yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2C43×#348811yescharacteristic
1769C2C43×#358511yescharacteristic
1770C2C43×#358611yescharacteristic
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×#3520C2semidirect
3. C43×#3402C2semidirect
4. C43×#3401C2semidirect
5. C43×#3373C2semidirect
6. C43×#3367C2semidirect
7. C43×#3333C2semidirect
8. C43×#3331C2semidirect
9. C43×#3316C2semidirect
10. C43×#3314C2semidirect
11. C43×#3308C2semidirect
12. C43×#3306C2semidirect
13. C43×#3275C2semidirect
14. C43×#3273C2semidirect
15. C43×#3269C2semidirect
16. C43×#3268C2semidirect
17. C43×#3267C2semidirect
18. C43×#3267C2semidirect
19. C43×#3258C2semidirect
20. C43×#3257C2semidirect
21. C43×#3252C2semidirect
22. C43×#3225C2semidirect
23. C43×#3224C2semidirect
24. C43×#3216C2semidirect
25. C43×#3120C2semidirect
26. C43×#3119C2semidirect
27. C43×#3114C2semidirect
28. C43×#3046C2semidirect
29. C43×#3045C2semidirect
30. C43×#3036C2semidirect
31. C43×#2995C2semidirect
32. C2×#137×C43C22semidirect
35. C2×AGL(1,ℤ/8)×C43C22semidirect
40. C43×#559C22semidirect
41. C43×#556C22semidirect
42. C43×#556C22semidirect
44. C43×#554C22semidirect
51. D4×Q8×C43C22semidirect
54. C43×#548C22semidirect
60. C43×#546C22semidirect
61. C43×#546C22semidirect
63. C43×#542C22semidirect
64. C43×#541C22semidirect
66. C43×#540C22semidirect
72. C43×#536C22semidirect
73. C43×#535C22semidirect
74. C43×#533C22semidirect
81. C43×#520C22semidirect
82. C2×C4×D4×C43C22semidirect
83. C43×#497C22semidirect
84. C43×#497C22semidirect
85. C43×#497C22semidirect
89. C43×#489C22semidirect
90. C43×#489C22semidirect
91. C43×#489C22semidirect
92. C43×#489C22semidirect
93. C43×#487C22semidirect
94. C43×#486C22semidirect
95. C43×#484C22semidirect
96. C43×#483C22semidirect
97. C43×#483C22semidirect
98. C43×#481C22semidirect
100. C43×#480C22semidirect
101. C43×#479C22semidirect
102. C43×#479C22semidirect
103. C43×#478C22semidirect
104. C43×#478C22semidirect
105. C43×#477C22semidirect
106. C43×#477C22semidirect
107. C43×#476C22semidirect
108. C43×#476C22semidirect
109. C43×#475C22semidirect
110. C43×#474C22semidirect
111. C43×#470C22semidirect
112. C43×#470C22semidirect
113. C43×#470C22semidirect
118. C43×#468C22semidirect
119. C43×#467C22semidirect
120. C43×#466C22semidirect
122. C43×#465C22semidirect
123. C43×#464C22semidirect
124. C43×#464C22semidirect
125. C43×#464C22semidirect
126. C43×#464C22semidirect
127. C43×#464C22semidirect
128. C43×#464C22semidirect
136. C43×#463C22semidirect
137. C43×#463C22semidirect
138. C43×#463C22semidirect
139. C43×#462C22semidirect
140. C43×#462C22semidirect
141. C43×#462C22semidirect
142. C43×#462C22semidirect
143. C43×#461C22semidirect
144. C43×#461C22semidirect
145. C43×#461C22semidirect
146. C43×#461C22semidirect
147. C43×#460C22semidirect
148. C43×#460C22semidirect
149. C43×#460C22semidirect
157. C43×#452C22semidirect
158. C43×#452C22semidirect
159. C43×#452C22semidirect
160. C43×#452C22semidirect
161. C43×#451C22semidirect
162. C43×#450C22semidirect
163. C43×#450C22semidirect
167. C43×#449C22semidirect
168. C43×#448C22semidirect
171. C43×#446C22semidirect
172. C43×#446C22semidirect
175. C43×#442C22semidirect
176. C43×#441C22semidirect
177. C43×#440C22semidirect
178. C43×#440C22semidirect
179. C43×#440C22semidirect
180. C43×#440C22semidirect
181. C4×Q16×C43C22semidirect
182. C4×SD16×C43C22semidirect
183. C4×SD16×C43C22semidirect
186. C43×#436C22semidirect
188. C43×#435C22semidirect
189. C43×#435C22semidirect
190. C43×#435C22semidirect
191. C43×#433C22semidirect
192. C43×#433C22semidirect
193. C43×#432C22semidirect
194. C43×#424C22semidirect
195. C43×#424C22semidirect
196. C43×#423C22semidirect
198. C43×#417C22semidirect
199. C43×#417C22semidirect
200. C43×#417C22semidirect
201. C2×#103×C43C22semidirect
202. C2×#102×C43C22semidirect
823. #62076C43direct (N × H)
875. #3562C2×C43semidirect
876. #3520C2×C43semidirect
877. #3402C2×C43semidirect
878. #3401C2×C43semidirect
879. #3373C2×C43semidirect
880. #3367C2×C43semidirect
881. #3333C2×C43semidirect
882. #3331C2×C43semidirect
883. #3316C2×C43semidirect
884. #3314C2×C43semidirect
885. #3308C2×C43semidirect
886. #3306C2×C43semidirect
887. #3275C2×C43semidirect
888. #3273C2×C43semidirect
889. #3269C2×C43semidirect
890. #3268C2×C43semidirect
891. #3267C2×C43semidirect
892. #3267C2×C43semidirect
893. #3258C2×C43semidirect
894. #3257C2×C43semidirect
895. #3252C2×C43semidirect
896. #3225C2×C43semidirect
897. #3224C2×C43semidirect
898. #3216C2×C43semidirect
899. #3120C2×C43semidirect
900. #3119C2×C43semidirect
901. #3114C2×C43semidirect
902. #3046C2×C43semidirect
903. #3045C2×C43semidirect
904. #3036C2×C43semidirect
905. #2995C2×C43semidirect
917. C2×#137C22×C43semidirect
920. C2×AGL(1,ℤ/8)C22×C43semidirect
925. #559C22×C43semidirect
926. #556C22×C43semidirect
927. #556C22×C43semidirect
929. #554C22×C43semidirect
936. D4×Q8C22×C43semidirect
939. #548C22×C43semidirect
945. #546C22×C43semidirect
946. #546C22×C43semidirect
948. #542C22×C43semidirect
949. #541C22×C43semidirect
951. #540C22×C43semidirect
957. #536C22×C43semidirect
958. #535C22×C43semidirect
959. #533C22×C43semidirect
966. #520C22×C43semidirect
967. C2×C4×D4C22×C43semidirect
968. #497C22×C43semidirect
969. #497C22×C43semidirect
970. #497C22×C43semidirect
974. #489C22×C43semidirect
975. #489C22×C43semidirect
976. #489C22×C43semidirect
977. #489C22×C43semidirect
978. #487C22×C43semidirect
979. #486C22×C43semidirect
980. #484C22×C43semidirect
981. #483C22×C43semidirect
982. #483C22×C43semidirect
983. #481C22×C43semidirect
985. #480C22×C43semidirect
986. #479C22×C43semidirect
987. #479C22×C43semidirect
988. #478C22×C43semidirect
989. #478C22×C43semidirect
990. #477C22×C43semidirect
991. #477C22×C43semidirect
992. #476C22×C43semidirect
993. #476C22×C43semidirect
994. #475C22×C43semidirect
995. #474C22×C43semidirect
996. #470C22×C43semidirect
997. #470C22×C43semidirect
998. #470C22×C43semidirect
1003. #468C22×C43semidirect
1004. #467C22×C43semidirect
1005. #466C22×C43semidirect
1007. #465C22×C43semidirect
1008. #464C22×C43semidirect
1009. #464C22×C43semidirect
1010. #464C22×C43semidirect
1011. #464C22×C43semidirect
1012. #464C22×C43semidirect
1013. #464C22×C43semidirect
1021. #463C22×C43semidirect
1022. #463C22×C43semidirect
1023. #463C22×C43semidirect
1024. #462C22×C43semidirect
1025. #462C22×C43semidirect
1026. #462C22×C43semidirect
1027. #462C22×C43semidirect
1028. #461C22×C43semidirect
1029. #461C22×C43semidirect
1030. #461C22×C43semidirect
1031. #461C22×C43semidirect
1032. #460C22×C43semidirect
1033. #460C22×C43semidirect
1034. #460C22×C43semidirect
1042. #452C22×C43semidirect
1043. #452C22×C43semidirect
1044. #452C22×C43semidirect
1045. #452C22×C43semidirect
1046. #451C22×C43semidirect
1047. #450C22×C43semidirect
1048. #450C22×C43semidirect
1052. #449C22×C43semidirect
1053. #448C22×C43semidirect
1056. #446C22×C43semidirect
1057. #446C22×C43semidirect
1060. #442C22×C43semidirect
1061. #441C22×C43semidirect
1062. #440C22×C43semidirect
1063. #440C22×C43semidirect
1064. #440C22×C43semidirect
1065. #440C22×C43semidirect
1066. C4×Q16C22×C43semidirect
1067. C4×SD16C22×C43semidirect
1068. C4×SD16C22×C43semidirect
1071. #436C22×C43semidirect
1073. #435C22×C43semidirect
1074. #435C22×C43semidirect
1075. #435C22×C43semidirect
1076. #433C22×C43semidirect
1077. #433C22×C43semidirect
1078. #432C22×C43semidirect
1079. #424C22×C43semidirect
1080. #424C22×C43semidirect
1081. #423C22×C43semidirect
1083. #417C22×C43semidirect
1084. #417C22×C43semidirect
1085. #417C22×C43semidirect
1086. C2×#103C22×C43semidirect
1087. C2×#102C22×C43semidirect
1088. C43#62076direct (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×#35202
C43×#34022
C43×#34012
C43×#33732
C43×#33672
C43×#33332
C43×#33312
C43×#33162
C43×#33142
C43×#33082
C43×#33062
C43×#32752
C43×#32732
C43×#32692
C43×#32682
C43×#32672
C43×#32582
C43×#32572
C43×#32522
C43×#32252
C43×#32242
C43×#32162
C43×#31202
C43×#31192
C43×#31142
C43×#30462
C43×#30452
C43×#30362
C43×#29952
#6207643