Finite Group Databasebeta

← #25304158

Subgroups — #25304158

Order 11008.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583491C211yesmaximal, characteristic, complemented
2#19142924C211yesmaximal, characteristic, complemented
3#19142894C211yesmaximal, characteristic, complemented
4#19141454C211yesmaximal, characteristic, complemented
5#19141346C211yesmaximal, characteristic, complemented
6#19141322C211yesmaximal, characteristic, complemented
7#19141307C211yesmaximal, characteristic, complemented
8#19141279C211yesmaximal, characteristic, complemented
9#19141234C211yesmaximal, characteristic, complemented
10#19141126C211yesmaximal, characteristic, complemented
11#19141100C211yesmaximal, characteristic, complemented
12#19141072C211yesmaximal, characteristic, complemented
13#19141055C211yesmaximal, characteristic, complemented
14#19141025C211yesmaximal, characteristic, complemented
15#19141010C211yesmaximal, characteristic, complemented
16#19140890C211yesmaximal, characteristic, complemented
17#19140855C211yesmaximal, characteristic, complemented
18#19140840C211yesmaximal, characteristic, complemented
19#19140826C211yesmaximal, characteristic, complemented
20#19140745C211yesmaximal, characteristic, complemented
21#19140724C211yesmaximal, characteristic, complemented
22#19140293C211yesmaximal, characteristic, complemented
23#19140216C211yesmaximal, characteristic, complemented
24#19140209C211yesmaximal, characteristic, complemented
25#19140192C211yesmaximal, characteristic, complemented
26#19140076C211yesmaximal, characteristic, complemented
27#19139761C211yesmaximal, characteristic, complemented
28#19138014C211yesmaximal, characteristic, complemented
29#19138003C211yesmaximal, characteristic, complemented
30#19137040C211yesmaximal, characteristic, complemented
31C2×C43×#540C211yesmaximal, characteristic, complemented
32#14583491—28no—
33C2×#13063319C2211yescharacteristic
34C2×#13063318C2211yescharacteristic
35C2×#13063317C2211yescharacteristic
36C2×#13063315C2211yescharacteristic
37C2×#13063312C2211yescharacteristic
38C2×#13063309C2211yescharacteristic
39C2×#13063308C2211yescharacteristic
40C2×#13063307C2211yescharacteristic
41C2×#13063306C2211yescharacteristic
42C2×#13063306C2211yescharacteristic
43C2×#13063304C2211yescharacteristic
44C2×#13063303C2211yescharacteristic
45C2×#13063302C2211yescharacteristic
46C2×#13063297C2211yescharacteristic
47C2×#13063297C2211yescharacteristic
48C2×#13063296C2211yescharacteristic
49C2×C4×C22⋊D43C2211yescharacteristic
50C2×#13063284C2211yescharacteristic
51C22×Dic43⋊C4C2211yescharacteristic
52C22×C4×Dic43C2211yescharacteristic
53#14582838C2211yescharacteristic
54#14582838C2211yescharacteristic
55#14582837C2211yescharacteristic
56#14582837C2211yescharacteristic
57#14582837C2211yescharacteristic
58#14582837C2211yescharacteristic
59#14582835C2211yescharacteristic
60#14582835C2211yescharacteristic
61#14582832C2211yescharacteristic
62#14582832C2211yescharacteristic
63#14582832C2211yescharacteristic
64#14582830C2211yescharacteristic
65#14582830C2211yescharacteristic
66#14582829C2211yescharacteristic
67#14582827C2211yescharacteristic
68#14582827C2211yescharacteristic
69#14582827C2211yescharacteristic
70#14582825C2211yescharacteristic
71#14582825C2211yescharacteristic
72#14582824C2211yescharacteristic
73#14582822C2211yescharacteristic
74#14582822C2211yescharacteristic
75#14582822C2211yescharacteristic
76#14582821C2211yescharacteristic
77#14582819C2211yescharacteristic
78#14582815C2211yescharacteristic
79#14582814C2211yescharacteristic
80#14582813C2211yescharacteristic
81#14582813C2211yescharacteristic
82#14582813C2211yescharacteristic
83#14582813C2211yescharacteristic
84#14582813C2211yescharacteristic
85#14582813C2211yescharacteristic
86#14582813C2211yescharacteristic
87#14582813C2211yescharacteristic
88#14582813C2211yescharacteristic
89#14582813C2211yescharacteristic
90#14582813C2211yescharacteristic
91#14582813C2211yescharacteristic
92#14582813C2211yescharacteristic
93#14582811C2211yescharacteristic
94#14582807C2211yescharacteristic
95#14582807C2211yescharacteristic
96#14582807C2211yescharacteristic
97#14582807C2211yescharacteristic
98#14582807C2211yescharacteristic
99#14582807C2211yescharacteristic
100#14582807C2211yescharacteristic
101#14582804C2211yescharacteristic
102#14582802C2211yescharacteristic
103#14582802C2211yescharacteristic
104#14582799C2211yescharacteristic
105#14582799C2211yescharacteristic
106#14582799C2211yescharacteristic
107#14582799C2211yescharacteristic
108#14582795C2211yescharacteristic
109#14582794C2211yescharacteristic
110#14582794C2211yescharacteristic
111#14582794C2211yescharacteristic
112#14582794C2211yescharacteristic
113#14582793C2211yescharacteristic
114#14582793C2211yescharacteristic
115#14582793C2211yescharacteristic
116#14582793C2211yescharacteristic
117#14582793C2211yescharacteristic
118#14582793C2211yescharacteristic
119#14582793C2211yescharacteristic
120#14582793C2211yescharacteristic
121#14582793C2211yescharacteristic
122#14582793C2211yescharacteristic
123#14582792C2211yescharacteristic
124#14582792C2211yescharacteristic
125#14582790C2211yescharacteristic
126#14582789C2211yescharacteristic
127#14582789C2211yescharacteristic
128#14582787C2211yescharacteristic
129#14582785C2211yescharacteristic
130#14582785C2211yescharacteristic
131#14582783C2211yescharacteristic
132#14582783C2211yescharacteristic
133#14582783C2211yescharacteristic
134#14582780C2211yescharacteristic
135#14582779C2211yescharacteristic
136#14582779C2211yescharacteristic
137#14582779C2211yescharacteristic
138#14582779C2211yescharacteristic
139#14582779C2211yescharacteristic
140#14582779C2211yescharacteristic
141#14582779C2211yescharacteristic
142#14582779C2211yescharacteristic
143#14582779C2211yescharacteristic
144#14582779C2211yescharacteristic
145#14582779C2211yescharacteristic
146#14582779C2211yescharacteristic
147#14582778C2211yescharacteristic
148#14582778C2211yescharacteristic
149#14582778C2211yescharacteristic
150#14582776C2211yescharacteristic
151#14582775C2211yescharacteristic
152#14582774C2211yescharacteristic
153#14582774C2211yescharacteristic
154#14582772C2211yescharacteristic
155#14582772C2211yescharacteristic
156#14582772C2211yescharacteristic
157#14582772C2211yescharacteristic
158#14582772C2211yescharacteristic
159#14582771C2211yescharacteristic
160#14582770C2211yescharacteristic
161#14582764C2211yescharacteristic
162#14582760C2211yescharacteristic
163#14582759C2211yescharacteristic
164#14582759C2211yescharacteristic
165#14582759C2211yescharacteristic
166#14582759C2211yescharacteristic
167#14582757C2211yescharacteristic
168#14582756C2211yescharacteristic
169C4×C4⋊Dic43C2211yescharacteristic
170C4×C22⋊Dic43C2211yescharacteristic
171C4×C22⋊Dic43C2211yescharacteristic
172#14582745C2211yescharacteristic
173C43×#540—28no—
174C2×#127×C43C2211yescharacteristic
175C2×#125×C43C2211yescharacteristic
176C2×#123×C43C2211yescharacteristic
177C2×#123×C43C2211yescharacteristic
178C2×#123×C43C2211yescharacteristic
179C2×#123×C43C2211yescharacteristic
180C2×#121×C43C2211yescharacteristic
181C2×#121×C43C2211yescharacteristic
182C2×#121×C43C2211yescharacteristic
183C2×#121×C43C2211yescharacteristic
184C2×#121×C43C2211yescharacteristic
185C2×#121×C43C2211yescharacteristic
186C2×C4×D4×C43C2211yescharacteristic
187C2×C4×D4×C43C2211yescharacteristic
188C2×#117×C43C2211yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C23×Dic43C2311yescharacteristic
196C23×Dic43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200#13063319—24no—
201#13063318—24no—
202#13063317—24no—
203#13063315—24no—
204#13063312—42no—
205#13063309—24no—
206#13063308—24no—
207#13063307—24no—
208#13063306—24no—
209#13063306—42no—
210#13063304—24no—
211#13063303—24no—
212#13063302—24no—
213#13063297—24no—
214#13063297—42no—
215#13063296—42no—
216C4×C22⋊D43—24no—
217#13063284—42no—
218C2×C4⋊Dic43C2311yescharacteristic
219C2×C4⋊Dic43C2311yescharacteristic
220C2×C4⋊Dic43C2311yescharacteristic
221C2×C4⋊Dic43C2311yescharacteristic
222C2×C4⋊Dic43C2311yescharacteristic
223C2×C4⋊Dic43C2311yescharacteristic
224C2×C4⋊Dic43C2311yescharacteristic
225C2×Dic43⋊C4—24no—
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×C4×Dic43—42no—
286C2×C4×Dic43C2311yescharacteristic
287C2×C4×Dic43C2311yescharacteristic
288C2×C4×Dic43C2311yescharacteristic
289C2×C4×Dic43C2311yescharacteristic
290C2×C4×Dic43C2311yescharacteristic
291C2×C4×Dic43C2311yescharacteristic
292C2×C4×Dic43C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C22×D4×C43C2311yescharacteristic
330C22×D4×C43C2311yescharacteristic
331C22×D4×C43C2311yescharacteristic
332C22×D4×C43C2311yescharacteristic
333C22×D4×C43C2311yescharacteristic
334C22×D4×C43C2311yescharacteristic
335C22×D4×C43C2311yescharacteristic
336C22×D4×C43C2311yescharacteristic
337C22×D4×C43C2311yescharacteristic
338C22×D4×C43C2311yescharacteristic
339C23×C4×C43C2311yescharacteristic
340C23×C4×C43C2311yescharacteristic
341C23×C4×C43C2311yescharacteristic
342C23×C4×C43C2311yescharacteristic
343C23×C4×C43C2311yescharacteristic
344#127×C43—24no—
345#125×C43—24no—
346#123×C43—24no—
347#123×C43—24no—
348#123×C43—24no—
349#123×C43—24no—
350#121×C43—24no—
351#121×C43—24no—
352#121×C43—24no—
353#121×C43—24no—
354#121×C43—24no—
355#121×C43—24no—
356C4×D4×C43—24no—
357C4×D4×C43D418yescomplemented
358#117×C43—24no—
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C42×C43C2311yescharacteristic
378C2×C42×C43C2311yescharacteristic
379C24×C43C2411yescharacteristic
380C24×C43C2411yescharacteristic
381C24×C43C2411yescharacteristic
382C24×C43C2411yescharacteristic
383C24×C43C2411yescharacteristic
384C23×D43C2411yescharacteristic
385C2×D4×C43—22no—
386C2×D4×C43—22no—
387C2×D4×C43—22no—
388C2×D4×C43—22no—
389C2×D4×C43—22no—
390C2×D4×C43—22no—
391C2×D4×C43—22no—
392C2×D4×C43—22no—
393C2×D4×C43—22no—
394C2×D4×C43—41no—
395C2×D4×C43—41no—
396C2×D4×C43—41no—
397C2×D4×C43—41no—
398C2×D4×C43—41no—
399C2×D4×C43—41no—
400C2×D4×C43—41no—
401C2×D4×C43—41no—
402C2×D4×C43—41no—
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43—41no—
406C2×D4×C43—41no—
407C2×D4×C43—41no—
408C2×D4×C43—41no—
409C2×D4×C43—41no—
410C2×D4×C43—41no—
411C2×D4×C43—41no—
412C2×D4×C43—41no—
413C2×D4×C43—41no—
414C2×D4×C43C2×D414yes—
415C22×C4×C43—22no—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—41no—
419C22×C4×C43—41no—
420C22×C4×C43—41no—
421C22×C4×C43—41no—
422C22×C4×C43—41no—
423C22×C4×C43—41no—
424C22×C4×C43—41no—
425C22×C4×C43—41no—
426C22×C4×C43—41no—
427C22×C4×C43—41no—
428C22×C4×C43C2×D414yes—
429C22×C4×C43C2×D414yes—
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C2×C22⋊D43—22no—
441C2×C22⋊D43—22no—
442C2×C22⋊D43—22no—
443C2×C22⋊D43—41no—
444C2×C22⋊D43—41no—
445C2×C22⋊D43—41no—
446C2×C22⋊D43—41no—
447C2×C22⋊D43—41no—
448C2×C22⋊D43—41no—
449C2×C22⋊D43—41no—
450C2×C22⋊D43—41no—
451C2×C22⋊D43—41no—
452C2×C22⋊D43—41no—
453C2×C22⋊D43—41no—
454C2×C22⋊D43—41no—
455C22×Dic43—22no—
456C22×Dic43—22no—
457C22×Dic43—22no—
458C22×Dic43—41no—
459C22×Dic43—41no—
460C22×Dic43—41no—
461C22×Dic43—41no—
462C22×Dic43—41no—
463C22×Dic43—41no—
464C22×Dic43—41no—
465C22×Dic43—41no—
466C22×Dic43—41no—
467C22×Dic43C2411yescharacteristic
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482C2×C4×D43—22no—
483C2×C4×D43—41no—
484C2×C4×D43—41no—
485C2×Dic86—22no—
486C2×Dic86—41no—
487C2×Dic86—41no—
488C4⋊C4×C43—22no—
489C4⋊C4×C43—22no—
490C4⋊C4×C43—22no—
491C4⋊C4×C43—22no—
492C4⋊C4×C43—22no—
493C4⋊C4×C43—22no—
494C4⋊C4×C43—22no—
495C4⋊C4×C43C2×D414yes—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—22no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—22no—
504C22⋊C4×C43C2×D414yes—
505C22⋊C4×C43C2×D414yes—
506C42×C43—22no—
507C42×C43C2×D414yes—
508C22⋊Dic43—22no—
509C22⋊Dic43—22no—
510C22⋊Dic43—22no—
511C22⋊Dic43—22no—
512C22⋊Dic43—22no—
513C22⋊Dic43—22no—
514C22⋊Dic43—22no—
515C22⋊Dic43—41no—
516C22⋊Dic43—41no—
517C22⋊Dic43—41no—
518C22⋊Dic43—41no—
519C22⋊Dic43—41no—
520C22⋊Dic43—41no—
521C22⋊Dic43—41no—
522C22⋊Dic43—41no—
523C22⋊Dic43—41no—
524C22⋊Dic43—41no—
525C22⋊Dic43—41no—
526C22⋊Dic43—41no—
527C22⋊Dic43—41no—
528C22⋊Dic43—41no—
529C22⋊Dic43—41no—
530C22⋊Dic43—41no—
531C22⋊Dic43—41no—
532C22⋊Dic43—41no—
533C22⋊Dic43—41no—
534C22⋊Dic43—41no—
535C22⋊Dic43—41no—
536C22⋊Dic43—41no—
537C22⋊Dic43—41no—
538C22⋊Dic43—41no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—41no—
544(C2×D43)⋊C4—41no—
545(C2×D43)⋊C4—41no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548C4⋊Dic43—22no—
549C4⋊Dic43—22no—
550C4⋊Dic43—22no—
551C4⋊Dic43—22no—
552C4⋊Dic43—41no—
553C4⋊Dic43—41no—
554C4⋊Dic43—41no—
555Dic43⋊C4—22no—
556Dic43⋊C4—22no—
557Dic43⋊C4—22no—
558Dic43⋊C4—22no—
559Dic43⋊C4—22no—
560Dic43⋊C4—22no—
561Dic43⋊C4—22no—
562Dic43⋊C4—22no—
563Dic43⋊C4—22no—
564Dic43⋊C4—22no—
565Dic43⋊C4—22no—
566Dic43⋊C4—41no—
567Dic43⋊C4—41no—
568Dic43⋊C4—41no—
569Dic43⋊C4—41no—
570Dic43⋊C4—41no—
571Dic43⋊C4—41no—
572Dic43⋊C4—41no—
573Dic43⋊C4—41no—
574C4×Dic43—22no—
575C4×Dic43—22no—
576C4×Dic43—22no—
577C4×Dic43—41no—
578C4×Dic43—41no—
579C4×Dic43—41no—
580C4×Dic43—41no—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43—21no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43C22×D412yes—
615C23×C43C22×D412yes—
616C23×C43C2511yescharacteristic
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624D4×C43—44no—
625D4×C43—44no—
626D4×C43—82no—
627D4×C43—82no—
628D4×C43—82no—
629D4×C43—82no—
630D4×C43—82no—
631D4×C43—82no—
632D4×C43—82no—
633D4×C43—82no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—44no—
660C2×C4×C43—44no—
661C2×C4×C43—44no—
662C2×C4×C43—82no—
663C2×C4×C43—82no—
664C2×C4×C43C22×D412yes—
665C2×C4×C43C22×D412yes—
666C2×C4×C43C22×D412yes—
667C2×C4×C43C22×D412yes—
668C2×C4×C43C22×D412yes—
669C22⋊D43—44no—
670C22⋊D43—82no—
671C22⋊D43—82no—
672C22⋊D43—82no—
673C22⋊D43—82no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—44no—
719C2×Dic43—44no—
720C2×Dic43—44no—
721C2×Dic43—82no—
722C2×Dic43H(5,𝔽2)12yes—
723C4×D43—82no—
724Dic86—82no—
725#36746—431nomaximal, Sylow
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—41no—
733C22×C43—41no—
734C22×C43—41no—
735C22×C43—41no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43C23×D411yescharacteristic
762C22×C43C2×H(5,𝔽2)11yescharacteristic
763C22×C43#58511yescharacteristic
764C22×C43#58511yescharacteristic
765C22×C43#58511yescharacteristic
766C22×C43#58511yescharacteristic
767C22×C43#58511yescharacteristic
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—41no—
774C2×D43—41no—
775C4×C43—22no—
776C4×C43—22no—
777C4×C43—22no—
778C4×C43—22no—
779C4×C43—22no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785Dic43—22no—
786Dic43—41no—
787Dic43—41no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800C2×#540D4311yescharacteristic, complemented
801C2×#539—431no—
802#2854—431no—
803#2850—431no—
804#2719—431no—
805#2711—431no—
806#2709—431no—
807#2708—431no—
808#2706—431no—
809#2703—431no—
810#2695—431no—
811#2693—431no—
812#2691—431no—
813#2690—431no—
814#2688—431no—
815#2687—431no—
816#2676—431no—
817#2673—431no—
818#2672—431no—
819#2671—431no—
820#2663—431no—
821#2661—431no—
822#2611—431no—
823#2603—431no—
824#2602—431no—
825#2601—431no—
826#2591—431no—
827#2562—431no—
828#2414—431no—
829#2413—431no—
830#2290—431no—
831C2×C43—42no—
832C2×C43—42no—
833C2×C43—81no—
834C2×C43—81no—
835C2×C43—81no—
836C2×C43#344911yescharacteristic
837C2×C43#349611yescharacteristic
838C2×C43#350011yescharacteristic
839C2×C43#353311yescharacteristic
840C2×C43#353911yescharacteristic
841C2×C43#356611yescharacteristic
842C2×C43#356711yescharacteristic
843D43—81no—
844#540—28no—
845#539—868no—
846C2×#127C2×D4311yescharacteristic
847C2×#126—431no—
848C2×#126—431no—
849C2×#125—431no—
850C2×#125—431no—
851C2×#125C2×D4311yescharacteristic
852C2×#124—431no—
853C2×#123—431no—
854C2×#123—431no—
855C2×#123—431no—
856C2×#123—431no—
857C2×#123—431no—
858C2×#123C2×D4311yescharacteristic
859C2×#123C2×D4311yescharacteristic
860C2×#123C2×D4311yescharacteristic
861C2×#123C2×D4311yescharacteristic
862C2×C22⋊Q8—431no—
863C2×C22⋊Q8—431no—
864C2×C22⋊Q8—431no—
865C2×#121—431no—
866C2×#121—431no—
867C2×#121—431no—
868C2×#121C2×D4311yescharacteristic
869C2×#121C2×D4311yescharacteristic
870C2×#121C2×D4311yescharacteristic
871C2×#121C2×D4311yescharacteristic
872C2×#121C2×D4311yescharacteristic
873C2×#121C2×D4311yescharacteristic
874C2×C4×D4—431no—
875C2×C4×D4C2×D4311yescharacteristic
876C2×C4×D4C2×D4311yescharacteristic
877C2×#117—431no—
878C2×#117C2×D4311yescharacteristic
879C22×C4⋊C4—431no—
880C22×C42—431no—
881#400—431no—
882#400—431no—
883#400—431no—
884#400—431no—
885#400—431no—
886#400—431no—
887#399—431no—
888#399—431no—
889#398—431no—
890#398—431no—
891#398—431no—
892#398—431no—
893#398—431no—
894#398—431no—
895#397—431no—
896#397—431no—
897#397—431no—
898#397—431no—
899#397—431no—
900#397—431no—
901#396—431no—
902#396—431no—
903#396—431no—
904#396—431no—
905#395—431no—
906#394—431no—
907#394—431no—
908#394—431no—
909#394—431no—
910#394—431no—
911#394—431no—
912#394—431no—
913#394—431no—
914#394—431no—
915#394—431no—
916#394—431no—
917#394—431no—
918#394—431no—
919#394—431no—
920#394—431no—
921#393—431no—
922#392—431no—
923#392—431no—
924#392—431no—
925#392—431no—
926#392—431no—
927#392—431no—
928#392—431no—
929#391—431no—
930#390—431no—
931#390—431no—
932#390—431no—
933#390—431no—
934#390—431no—
935#390—431no—
936#389—431no—
937#389—431no—
938#389—431no—
939#389—431no—
940#389—431no—
941#388—431no—
942#388—431no—
943#388—431no—
944#388—431no—
945#388—431no—
946#388—431no—
947#388—431no—
948#388—431no—
949#388—431no—
950#388—431no—
951#388—431no—
952#388—431no—
953#388—431no—
954#388—431no—
955#388—431no—
956#388—431no—
957#387—431no—
958#387—431no—
959#387—431no—
960#387—431no—
961#387—431no—
962#387—431no—
963#386—431no—
964#386—431no—
965#386—431no—
966#386—431no—
967#386—431no—
968#386—431no—
969#386—431no—
970#386—431no—
971#386—431no—
972#386—431no—
973#386—431no—
974#386—431no—
975#386—431no—
976#386—431no—
977#386—431no—
978#386—431no—
979#386—431no—
980#385—431no—
981#385—431no—
982#385—431no—
983#385—431no—
984#385—431no—
985#385—431no—
986#385—431no—
987#385—431no—
988#385—431no—
989#382—431no—
990#381—431no—
991#380—431no—
992#380—431no—
993#380—431no—
994#380—431no—
995#380—431no—
996#380—431no—
997C4×C4⋊C4—431no—
998C4×C22⋊C4—431no—
999C4×C22⋊C4—431no—
1000#376—431no—
1001C43#3674611yescharacteristic, complemented, Sylow
1002C22×Q8—431no—
1003C22×D4—431no—
1004C22×D4—431no—
1005C22×D4—431no—
1006C22×D4—431no—
1007C22×D4—431no—
1008C22×D4C22×D4311yescharacteristic
1009C22×D4C22×D4311yescharacteristic
1010C22×D4C22×D4311yescharacteristic
1011C22×D4C22×D4311yescharacteristic
1012C22×D4C22×D4311yescharacteristic
1013C22×D4C22×D4311yescharacteristic
1014C22×D4C22×D4311yescharacteristic
1015C22×D4C22×D4311yescharacteristic
1016C22×D4C22×D4311yescharacteristic
1017C22×D4C22×D4311yescharacteristic
1018C23×C4—431no—
1019C23×C4—431no—
1020C23×C4—431no—
1021C23×C4—431no—
1022C23×C4—431no—
1023C23×C4C22×D4311yescharacteristic
1024C23×C4C22×D4311yescharacteristic
1025C23×C4C22×D4311yescharacteristic
1026C23×C4C22×D4311yescharacteristic
1027C23×C4C22×D4311yescharacteristic
1028#127—24no—
1029#126—864no—
1030#126—864no—
1031#125—24no—
1032#125—864no—
1033#125—864no—
1034#124—1722no—
1035#123—24no—
1036#123—24no—
1037#123—24no—
1038#123—24no—
1039#123—864no—
1040#123—864no—
1041#123—864no—
1042#123—864no—
1043#123—1722no—
1044C22⋊Q8—864no—
1045C22⋊Q8—864no—
1046C22⋊Q8—864no—
1047#121—24no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—24no—
1052#121—24no—
1053#121—864no—
1054#121—1722no—
1055#121—1722no—
1056C4×D4—24no—
1057C4×D4—864no—
1058C4×D4C22⋊D4318yescomplemented
1059#117—24no—
1060#117—1722no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
1063C2×C4⋊C4—431no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—431no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4—431no—
1076C2×C4⋊C4—431no—
1077C2×C4⋊C4—431no—
1078C2×C4⋊C4—431no—
1079C2×C4⋊C4—431no—
1080C2×C4⋊C4—431no—
1081C2×C4⋊C4—431no—
1082C2×C4⋊C4—431no—
1083C2×C4⋊C4—431no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4—431no—
1087C2×C4⋊C4—864no—
1088C2×C4⋊C4C22×D4311yescharacteristic
1089C2×C4⋊C4C22×D4311yescharacteristic
1090C2×C4⋊C4C22×D4311yescharacteristic
1091C2×C4⋊C4C22×D4311yescharacteristic
1092C2×C4⋊C4C22×D4311yescharacteristic
1093C2×C4⋊C4C22×D4311yescharacteristic
1094C2×C4⋊C4C22×D4311yescharacteristic
1095C2×C4⋊C4C22×D4311yescharacteristic
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—431no—
1136C2×C22⋊C4C22×D4311yescharacteristic
1137C2×C22⋊C4C22×D4311yescharacteristic
1138C2×C22⋊C4C22×D4311yescharacteristic
1139C2×C22⋊C4C22×D4311yescharacteristic
1140C2×C22⋊C4C22×D4311yescharacteristic
1141C2×C22⋊C4C22×D4311yescharacteristic
1142C2×C22⋊C4C22×D4311yescharacteristic
1143C2×C22⋊C4C22×D4311yescharacteristic
1144C2×C22⋊C4C22×D4311yescharacteristic
1145C2×C22⋊C4C22×D4311yescharacteristic
1146C2×C42—431no—
1147C2×C42—431no—
1148C2×C42—431no—
1149C2×C42—431no—
1150C2×C42—431no—
1151C2×C42—431no—
1152C2×C42—431no—
1153C2×C42—1722no—
1154C2×C42C22×D4311yescharacteristic
1155C2×C42C22×D4311yescharacteristic
1156#95—431no—
1157#95—431no—
1158#95—431no—
1159#95—431no—
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95—431no—
1183#95—431no—
1184#95—431no—
1185#95—431no—
1186#95—431no—
1187#95—431no—
1188#95—431no—
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192C24—431no—
1193C24C23×D4311yescharacteristic
1194C24C23×D4311yescharacteristic
1195C24C23×D4311yescharacteristic
1196C24C23×D4311yescharacteristic
1197C24C23×D4311yescharacteristic
1198C2×Q8—862no—
1199C2×Q8—1721no—
1200C2×Q8—1721no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—862no—
1231C2×D4—862no—
1232C2×D4—862no—
1233C2×D4—1721no—
1234C2×D4—1721no—
1235C2×D4—1721no—
1236C2×D4—1721no—
1237C2×D4—1721no—
1238C2×D4—1721no—
1239C2×D4—1721no—
1240C2×D4—1721no—
1241C2×D4—1721no—
1242C2×D4—1721no—
1243C2×D4—1721no—
1244C2×D4—1721no—
1245C2×D4C2×C22⋊D4314yes—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—431no—
1260C22×C4—431no—
1261C22×C4—431no—
1262C22×C4—431no—
1263C22×C4—431no—
1264C22×C4—431no—
1265C22×C4—431no—
1266C22×C4—431no—
1267C22×C4—431no—
1268C22×C4—431no—
1269C22×C4—431no—
1270C22×C4—431no—
1271C22×C4—431no—
1272C22×C4—431no—
1273C22×C4—431no—
1274C22×C4—862no—
1275C22×C4—862no—
1276C22×C4—862no—
1277C22×C4—862no—
1278C22×C4—1721no—
1279C22×C4—1721no—
1280C22×C4—1721no—
1281C22×C4—1721no—
1282C22×C4—1721no—
1283C22×C4—1721no—
1284C22×C4—1721no—
1285C22×C4—1721no—
1286C22×C4—1721no—
1287C22×C4—1721no—
1288C22×C4—1721no—
1289C22×C4C2×C22⋊D4314yes—
1290C22×C4C2×C22⋊D4314yes—
1291C22×C4C23×D4311yescharacteristic
1292C22×C4C23×D4311yescharacteristic
1293C22×C4C23×D4311yescharacteristic
1294C22×C4C23×D4311yescharacteristic
1295C22×C4C23×D4311yescharacteristic
1296C22×C4C23×D4311yescharacteristic
1297C22×C4C23×D4311yescharacteristic
1298C22×C4C23×D4311yescharacteristic
1299C22×C4C23×D4311yescharacteristic
1300C22×C4C23×D4311yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—862no—
1309C4⋊C4—862no—
1310C4⋊C4—862no—
1311C4⋊C4—862no—
1312C4⋊C4—862no—
1313C4⋊C4—862no—
1314C4⋊C4—862no—
1315C4⋊C4—862no—
1316C4⋊C4—862no—
1317C4⋊C4—862no—
1318C4⋊C4—862no—
1319C4⋊C4—862no—
1320C4⋊C4—862no—
1321C4⋊C4—862no—
1322C4⋊C4—862no—
1323C4⋊C4—1721no—
1324C4⋊C4—1721no—
1325C4⋊C4—1721no—
1326C4⋊C4—1721no—
1327C4⋊C4—1721no—
1328C4⋊C4—1721no—
1329C4⋊C4—1721no—
1330C4⋊C4—1721no—
1331C4⋊C4—1721no—
1332C4⋊C4—1721no—
1333C4⋊C4—1721no—
1334C4⋊C4C2×C22⋊D4314yes—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—862no—
1344C22⋊C4—862no—
1345C22⋊C4—862no—
1346C22⋊C4—862no—
1347C22⋊C4—862no—
1348C22⋊C4—862no—
1349C22⋊C4—862no—
1350C22⋊C4—862no—
1351C22⋊C4—862no—
1352C22⋊C4—862no—
1353C22⋊C4—862no—
1354C22⋊C4—1721no—
1355C22⋊C4—1721no—
1356C22⋊C4—1721no—
1357C22⋊C4—1721no—
1358C22⋊C4—1721no—
1359C22⋊C4—1721no—
1360C22⋊C4—1721no—
1361C22⋊C4—1721no—
1362C22⋊C4—1721no—
1363C22⋊C4—1721no—
1364C22⋊C4—1721no—
1365C22⋊C4—1721no—
1366C22⋊C4—1721no—
1367C22⋊C4—1721no—
1368C22⋊C4—1721no—
1369C22⋊C4—1721no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4—1721no—
1376C22⋊C4—1721no—
1377C22⋊C4—1721no—
1378C22⋊C4—1721no—
1379C22⋊C4—1721no—
1380C22⋊C4—1721no—
1381C22⋊C4—1721no—
1382C22⋊C4—1721no—
1383C22⋊C4C2×C22⋊D4314yes—
1384C22⋊C4C2×C22⋊D4314yes—
1385C42—22no—
1386C42—862no—
1387C42—862no—
1388C42—862no—
1389C42—1721no—
1390C42—1721no—
1391C42—1721no—
1392C42—1721no—
1393C42C2×C22⋊D4314yes—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—861no—
1431C23—861no—
1432C23—861no—
1433C23—861no—
1434C23C22×C22⋊D4312yes—
1435C23C22×C22⋊D4312yes—
1436C23C24×D4311yescharacteristic
1437Q8—3442no—
1438D4—44no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—3442no—
1449D4—3442no—
1450D4—3442no—
1451D4—3442no—
1452D4—1724no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—432no—
1484C2×C4—861no—
1485C2×C4—861no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—861no—
1493C2×C4—861no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—3442no—
1529C2×C4—3442no—
1530C2×C4—1724no—
1531C2×C4—1724no—
1532C2×C4—1724no—
1533C2×C4C22×C22⋊D4312yes—
1534C2×C4C22×C22⋊D4312yes—
1535C2×C4C22×C22⋊D4312yes—
1536C2×C4C22×C22⋊D4312yes—
1537C2×C4C22×C22⋊D4312yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—1721no—
1574C22—1721no—
1575C22—1721no—
1576C22—1721no—
1577C22—1721no—
1578C22—1721no—
1579C22—1721no—
1580C22C23×C22⋊D4311yescharacteristic
1581C22H(5,𝔽2)×D4311yescharacteristic
1582C22#1458373411yescharacteristic
1583C22#1458373411yescharacteristic
1584C22#1458373411yescharacteristic
1585C22#1458373511yescharacteristic
1586C22#1458373511yescharacteristic
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—862no—
1598C4—1721no—
1599C4—1721no—
1600C4—1721no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C4—1721no—
1610C4—1721no—
1611C4—1721no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—81no—
1616C2—81no—
1617C2—3441no—
1618C2#1914792411yescharacteristic
1619C2#1914835411yescharacteristic
1620C2#1914838311yescharacteristic
1621C2#1914875511yescharacteristic
1622C2#1914884711yescharacteristic
1623C2#1914926711yescharacteristic
1624C2#1914928011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC2×C43×#540C2
hypercenterC2×#540D43
hypocenterC43#36746
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. C2×#14583491C2semidirect
2. #19142924C2semidirect
3. #19142894C2semidirect
4. #19141454C2semidirect
5. #19141346C2semidirect
6. #19141322C2semidirect
7. #19141307C2semidirect
8. #19141279C2semidirect
9. #19141234C2semidirect
10. #19141126C2semidirect
11. #19141100C2semidirect
12. #19141072C2semidirect
13. #19141055C2semidirect
14. #19141025C2semidirect
15. #19141010C2semidirect
16. #19140890C2semidirect
17. #19140855C2semidirect
18. #19140840C2semidirect
19. #19140826C2semidirect
20. #19140745C2semidirect
21. #19140724C2semidirect
22. #19140293C2semidirect
23. #19140216C2semidirect
24. #19140209C2semidirect
25. #19140192C2semidirect
26. #19140076C2semidirect
27. #19139761C2semidirect
28. #19138014C2semidirect
29. #19138003C2semidirect
30. #19137040C2semidirect
31. C2×C43×#540C2semidirect
357. C4×D4×C43D4semidirect
800. C2×#540D43semidirect
1001. C43#36746semidirect
1058. C4×D4C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145834912
#191429242
#191428942
#191414542
#191413462
#191413222
#191413072
#191412792
#191412342
#191411262
#191411002
#191410722
#191410552
#191410252
#191410102
#191408902
#191408552
#191408402
#191408262
#191407452
#191407242
#191402932
#191402162
#191402092
#191401922
#191400762
#191397612
#191380142
#191380032
#191370402
C2×C43×#5402
#3674643