Finite Group Databasebeta

← #25304107

Subgroups — #25304107

Order 11008.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583505C211yesmaximal, characteristic, complemented
2C2×#14583488C211yesmaximal, characteristic, complemented
3#19142941C211yesmaximal, characteristic, complemented
4#19142922C211yesmaximal, characteristic, complemented
5#19141387C211yesmaximal, characteristic, complemented
6#19141109C211yesmaximal, characteristic, complemented
7#19140940C211yesmaximal, characteristic, complemented
8#19140935C211yesmaximal, characteristic, complemented
9#19140919C211yesmaximal, characteristic, complemented
10#19140894C211yesmaximal, characteristic, complemented
11#19140888C211yesmaximal, characteristic, complemented
12#19140864C211yesmaximal, characteristic, complemented
13#19140864C211yesmaximal, characteristic, complemented
14#19140843C211yesmaximal, characteristic, complemented
15#19140838C211yesmaximal, characteristic, complemented
16#19140836C211yesmaximal, characteristic, complemented
17#19140810C211yesmaximal, characteristic, complemented
18#19140810C211yesmaximal, characteristic, complemented
19#19140804C211yesmaximal, characteristic, complemented
20#19140729C211yesmaximal, characteristic, complemented
21#19140728C211yesmaximal, characteristic, complemented
22#19140280C211yesmaximal, characteristic, complemented
23#19140223C211yesmaximal, characteristic, complemented
24#19140205C211yesmaximal, characteristic, complemented
25#19140190C211yesmaximal, characteristic, complemented
26#19139530C211yesmaximal, characteristic, complemented
27#19139522C211yesmaximal, characteristic, complemented
28#19138011C211yesmaximal, characteristic, complemented
29#19137975C211yesmaximal, characteristic, complemented
30#19137033C211yesmaximal, characteristic, complemented
31C43×#2721C211yesmaximal, characteristic, complemented
32#14583505—28no—
33#14583488—28no—
34C2×#13063322C2211yescharacteristic
35C2×#13063322C2211yescharacteristic
36C2×#13063320C2211yescharacteristic
37C2×#13063313C2211yescharacteristic
38C2×#13063311C2211yescharacteristic
39C2×#13063310C2211yescharacteristic
40C2×#13063310C2211yescharacteristic
41C2×#13063310C2211yescharacteristic
42C2×#13063310C2211yescharacteristic
43C2×#13063310C2211yescharacteristic
44C2×#13063310C2211yescharacteristic, complemented
45C2×#13063310C2211yescharacteristic, complemented
46C2×#13063307C2211yescharacteristic
47C2×#13063303C2211yescharacteristic
48C2×#13063303C2211yescharacteristic, complemented
49C2×#13063303C2211yescharacteristic, complemented
50C2×#13063300C2211yescharacteristic
51C2×#13063300C2211yescharacteristic
52C2×#13063300C2211yescharacteristic
53C2×#13063300C2211yescharacteristic
54C2×#13063300C2211yescharacteristic
55C2×#13063300C2211yescharacteristic
56C2×#13063300C2211yescharacteristic
57C2×#13063300C2211yescharacteristic, complemented
58C2×#13063300C2211yescharacteristic, complemented
59C2×#13063300C2211yescharacteristic, complemented
60C2×#13063300C2211yescharacteristic, complemented
61C2×#13063300C2211yescharacteristic, complemented
62C2×#13063300C2211yescharacteristic, complemented
63C2×#13063298C2211yescharacteristic
64C2×#13063298C2211yescharacteristic
65C2×#13063298C2211yescharacteristic
66C2×#13063298C2211yescharacteristic
67C2×#13063295C2211yescharacteristic
68C2×#13063295C2211yescharacteristic
69C2×#13063295C2211yescharacteristic
70C2×#13063295C2211yescharacteristic
71C2×#13063295C2211yescharacteristic
72C2×C4×D172C2211yescharacteristic
73C2×#13063287C2211yescharacteristic
74C2×#13063287C2211yescharacteristic, complemented
75C2×#13063283C2211yescharacteristic
76C2×#13063282C2211yescharacteristic, complemented
77C2×C22⋊C4×D43C2211yescharacteristic
78C2×C42×D43C2211yescharacteristic, complemented
79#14582834C2211yescharacteristic
80#14582834C2211yescharacteristic, complemented
81#14582830C2211yescharacteristic, complemented
82#14582830C2211yescharacteristic, complemented
83#14582825C2211yescharacteristic
84#14582825C2211yescharacteristic
85#14582825C2211yescharacteristic, complemented
86#14582823C2211yescharacteristic
87#14582823C2211yescharacteristic, complemented
88#14582821C2211yescharacteristic
89#14582819C2211yescharacteristic, complemented
90#14582817C2211yescharacteristic
91#14582817C2211yescharacteristic
92#14582817C2211yescharacteristic
93#14582817C2211yescharacteristic, complemented
94#14582817C2211yescharacteristic, complemented
95#14582817C2211yescharacteristic, complemented
96#14582816C2211yescharacteristic
97#14582816C2211yescharacteristic
98#14582816C2211yescharacteristic
99#14582816C2211yescharacteristic
100#14582816C2211yescharacteristic
101#14582816C2211yescharacteristic, complemented
102#14582816C2211yescharacteristic, complemented
103#14582815C2211yescharacteristic
104#14582814C2211yescharacteristic
105#14582812C2211yescharacteristic, complemented
106#14582809C2211yescharacteristic
107#14582809C2211yescharacteristic
108#14582809C2211yescharacteristic
109#14582809C2211yescharacteristic
110#14582809C2211yescharacteristic
111#14582809C2211yescharacteristic
112#14582809C2211yescharacteristic
113#14582809C2211yescharacteristic, complemented
114#14582809C2211yescharacteristic, complemented
115#14582808C2211yescharacteristic
116#14582808C2211yescharacteristic
117#14582808C2211yescharacteristic
118#14582808C2211yescharacteristic
119#14582808C2211yescharacteristic
120#14582808C2211yescharacteristic
121#14582801C2211yescharacteristic, complemented
122#14582800C2211yescharacteristic
123#14582800C2211yescharacteristic
124#14582800C2211yescharacteristic
125#14582800C2211yescharacteristic
126#14582800C2211yescharacteristic, complemented
127#14582800C2211yescharacteristic, complemented
128#14582800C2211yescharacteristic, complemented
129#14582800C2211yescharacteristic, complemented
130#14582799C2211yescharacteristic
131#14582799C2211yescharacteristic
132#14582799C2211yescharacteristic
133#14582799C2211yescharacteristic
134#14582796C2211yescharacteristic, complemented
135#14582794C2211yescharacteristic, complemented
136#14582791C2211yescharacteristic, complemented
137#14582791C2211yescharacteristic, complemented
138#14582791C2211yescharacteristic, complemented
139#14582790C2211yescharacteristic
140#14582790C2211yescharacteristic
141#14582790C2211yescharacteristic, complemented
142#14582790C2211yescharacteristic, complemented
143#14582790C2211yescharacteristic, complemented
144#14582788C2211yescharacteristic
145#14582788C2211yescharacteristic
146#14582788C2211yescharacteristic, complemented
147#14582787C2211yescharacteristic
148#14582785C2211yescharacteristic, complemented
149#14582777C2211yescharacteristic
150#14582777C2211yescharacteristic
151#14582777C2211yescharacteristic
152#14582777C2211yescharacteristic
153#14582777C2211yescharacteristic
154#14582777C2211yescharacteristic
155#14582777C2211yescharacteristic, complemented
156#14582777C2211yescharacteristic, complemented
157#14582777C2211yescharacteristic, complemented
158#14582775C2211yescharacteristic
159#14582775C2211yescharacteristic
160#14582773C2211yescharacteristic, complemented
161#14582770C2211yescharacteristic
162#14582770C2211yescharacteristic, complemented
163#14582770C2211yescharacteristic, complemented
164#14582770C2211yescharacteristic, complemented
165#14582770C2211yescharacteristic, complemented
166#14582770C2211yescharacteristic, complemented
167#14582758C2211yescharacteristic, complemented
168#14582756C2211yescharacteristic, complemented
169#14582754C2211yescharacteristic
170#14582750C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic
172#14582746C2211yescharacteristic, complemented
173#14582744C2211yescharacteristic, complemented
174C2×#126×C43C2211yescharacteristic
175C2×#125×C43C2211yescharacteristic, complemented
176C43×#399C2211yescharacteristic
177C43×#399C2211yescharacteristic
178C43×#398C2211yescharacteristic, complemented
179C43×#398C2211yescharacteristic, complemented
180C43×#397C2211yescharacteristic
181C43×#396C2211yescharacteristic
182C43×#389C2211yescharacteristic, complemented
183C43×#388C2211yescharacteristic
184C43×#388C2211yescharacteristic
185C43×#387C2211yescharacteristic, complemented
186C43×#387C2211yescharacteristic, complemented
187C43×#387C2211yescharacteristic, complemented
188C43×#384C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×D172C2311yescharacteristic
203C22×D172C2311yescharacteristic
204C22×D172C2311yescharacteristic
205C22×D172C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C22×D172C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C22×C22⋊D43C2311yescharacteristic
212C22×C22⋊D43C2311yescharacteristic
213C22×C22⋊D43C2311yescharacteristic
214C22×C22⋊D43C2311yescharacteristic
215C22×C22⋊D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225#13063322—24no—
226#13063322—42no—
227#13063320—24no—
228#13063313—24no—
229#13063311—24no—
230#13063310—24no—
231#13063310—24no—
232#13063310—24no—
233#13063310—24no—
234#13063310—24no—
235#13063310—42no—
236#13063310—42no—
237#13063307—24no—
238#13063303—24no—
239#13063303—42no—
240#13063303—42no—
241#13063300—24no—
242#13063300—24no—
243#13063300—24no—
244#13063300—24no—
245#13063300—24no—
246#13063300—24no—
247#13063300—24no—
248#13063300—24no—
249#13063300—42no—
250#13063300—42no—
251#13063300—42no—
252#13063300—42no—
253#13063300—42no—
254#13063298—24no—
255#13063298—42no—
256#13063298—42no—
257#13063298—42no—
258#13063295—24no—
259#13063295—24no—
260#13063295—42no—
261#13063295—42no—
262#13063295—42no—
263C4×D172—24no—
264#13063287—24no—
265#13063287D418yescomplemented
266#13063283—42no—
267#13063282—24no—
268C2×C4⋊Dic43C2311yescharacteristic
269C2×C4⋊Dic43C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C2×(C2×D43)⋊C4C2311yescharacteristic
322C2×(C2×D43)⋊C4C2311yescharacteristic
323C2×(C2×D43)⋊C4C2311yescharacteristic
324C2×(C2×D43)⋊C4C2311yescharacteristic
325C2×(C2×D43)⋊C4C2311yescharacteristic
326C2×(C2×D43)⋊C4C2311yescharacteristic
327C2×(C2×D43)⋊C4C2311yescharacteristic
328C2×(C2×D43)⋊C4C2311yescharacteristic
329C2×(C2×D43)⋊C4C2311yescharacteristic
330C2×(C2×D43)⋊C4C2311yescharacteristic
331C2×(C2×D43)⋊C4C2311yescharacteristic
332C22⋊C4×D43—24no—
333C2×C4×Dic43C2311yescharacteristic
334C2×C4×Dic43C2311yescharacteristic
335C2×C4×Dic43C2311yescharacteristic
336C2×C4×Dic43C2311yescharacteristic
337C2×C4×Dic43C2311yescharacteristic
338C2×C4×Dic43C2311yescharacteristic
339C42×D43—42no—
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354#126×C43—24no—
355#125×C43—24no—
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
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×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊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×C22⋊C4×C43C2311yescharacteristic
378C2×C42×C43C2311yescharacteristic
379C2×C42×C43C2311yescharacteristic
380C2×C42×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C23×D43—22no—
393C23×D43—41no—
394C23×D43—41no—
395C23×D43—41no—
396C23×D43—41no—
397C23×D43—41no—
398C23×D43—41no—
399C23×D43C2411yescharacteristic
400C23×D43C2411yescharacteristic
401C23×D43C2411yescharacteristic
402C23×D43C2411yescharacteristic
403C23×D43C2411yescharacteristic
404C23×D43C2411yescharacteristic
405C23×D43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C2×C22⋊D43—22no—
421C2×C22⋊D43—22no—
422C2×C22⋊D43—22no—
423C2×C22⋊D43—41no—
424C2×C22⋊D43—41no—
425C2×C22⋊D43—41no—
426C2×C22⋊D43—41no—
427C2×C22⋊D43—41no—
428C2×C22⋊D43—41no—
429C2×C22⋊D43—41no—
430C2×C22⋊D43—41no—
431C2×C22⋊D43—41no—
432C2×C22⋊D43—41no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C2×D172—22no—
445C2×D172—22no—
446C2×D172—22no—
447C2×D172—22no—
448C2×D172—22no—
449C2×D172—22no—
450C2×D172—22no—
451C2×D172—22no—
452C2×D172—22no—
453C2×D172—22no—
454C2×D172—22no—
455C2×D172—22no—
456C2×D172—22no—
457C2×D172—22no—
458C2×D172—22no—
459C2×D172—22no—
460C2×D172—22no—
461C2×D172—41no—
462C2×D172—41no—
463C2×D172—41no—
464C2×D172—41no—
465C2×D172—41no—
466C2×D172—41no—
467C2×D172—41no—
468C2×D172—41no—
469C2×D172—41no—
470C2×D172—41no—
471C2×D172—41no—
472C2×D172—41no—
473C2×D172—41no—
474C2×D172—41no—
475C2×D172—41no—
476C2×D172—41no—
477C2×D172—41no—
478C2×D172—41no—
479C2×D172—41no—
480C2×D172—41no—
481C2×D172—41no—
482C2×D172—41no—
483C2×D172—41no—
484C2×D172—41no—
485C2×D172—41no—
486C2×D172—41no—
487C2×D172—41no—
488C2×D172—41no—
489C2×D172—41no—
490C2×D172—41no—
491C2×D172—41no—
492C2×D172—41no—
493C2×D172—41no—
494C2×D172—41no—
495C2×D172—41no—
496C2×D172—41no—
497C2×D172—41no—
498C2×D172—41no—
499C2×D172—41no—
500C2×D172—41no—
501C2×D172—41no—
502C2×D172—41no—
503C2×D172C2×D414yes—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—22no—
510C2×C4×D43—22no—
511C2×C4×D43—22no—
512C2×C4×D43—41no—
513C2×C4×D43—41no—
514C2×C4×D43—41no—
515C2×C4×D43—41no—
516C2×C4×D43—41no—
517C2×C4×D43—41no—
518C2×C4×D43—41no—
519C2×C4×D43—41no—
520C2×C4×D43—41no—
521C2×C4×D43—41no—
522C2×C4×D43—41no—
523C2×C4×D43—41no—
524C2×C4×D43—41no—
525C2×C4×D43—41no—
526C2×C4×D43—41no—
527C2×C4×D43—41no—
528C2×C4×D43—41no—
529C2×C4×D43C2×D414yes—
530C2×C4×D43C2×D414yes—
531C2×Dic86—22no—
532C2×Dic86—41no—
533C2×Dic86—41no—
534C4⋊C4×C43—22no—
535C4⋊C4×C43—22no—
536C4⋊C4×C43—22no—
537C4⋊C4×C43—22no—
538C4⋊C4×C43—22no—
539C4⋊C4×C43—22no—
540C4⋊C4×C43—22no—
541C4⋊C4×C43—22no—
542C4⋊C4×C43—22no—
543C4⋊C4×C43—22no—
544C4⋊C4×C43—41no—
545C4⋊C4×C43—41no—
546C4⋊C4×C43—41no—
547C4⋊C4×C43—41no—
548C4⋊C4×C43C2×D414yes—
549C22⋊C4×C43—22no—
550C22⋊C4×C43—22no—
551C22⋊C4×C43—22no—
552C22⋊C4×C43—22no—
553C22⋊C4×C43—22no—
554C22⋊C4×C43—41no—
555C22⋊C4×C43—41no—
556C42×C43—22no—
557C42×C43—22no—
558C42×C43—22no—
559C22⋊Dic43—22no—
560C22⋊Dic43—41no—
561(C2×D43)⋊C4—22no—
562(C2×D43)⋊C4—22no—
563(C2×D43)⋊C4—22no—
564(C2×D43)⋊C4—22no—
565(C2×D43)⋊C4—22no—
566(C2×D43)⋊C4—22no—
567(C2×D43)⋊C4—22no—
568(C2×D43)⋊C4—22no—
569(C2×D43)⋊C4—22no—
570(C2×D43)⋊C4—22no—
571(C2×D43)⋊C4—22no—
572(C2×D43)⋊C4—22no—
573(C2×D43)⋊C4—22no—
574(C2×D43)⋊C4—22no—
575(C2×D43)⋊C4—22no—
576(C2×D43)⋊C4—22no—
577(C2×D43)⋊C4—22no—
578(C2×D43)⋊C4—22no—
579(C2×D43)⋊C4—22no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—41no—
587(C2×D43)⋊C4—41no—
588(C2×D43)⋊C4—41no—
589(C2×D43)⋊C4—41no—
590(C2×D43)⋊C4—41no—
591(C2×D43)⋊C4—41no—
592(C2×D43)⋊C4—41no—
593(C2×D43)⋊C4—41no—
594(C2×D43)⋊C4—41no—
595(C2×D43)⋊C4—41no—
596(C2×D43)⋊C4—41no—
597(C2×D43)⋊C4—41no—
598(C2×D43)⋊C4—41no—
599(C2×D43)⋊C4—41no—
600(C2×D43)⋊C4—41no—
601(C2×D43)⋊C4—41no—
602(C2×D43)⋊C4—41no—
603(C2×D43)⋊C4—41no—
604(C2×D43)⋊C4—41no—
605(C2×D43)⋊C4—41no—
606(C2×D43)⋊C4—41no—
607(C2×D43)⋊C4—41no—
608(C2×D43)⋊C4C2×D414yes—
609(C2×D43)⋊C4C2×D414yes—
610C4⋊Dic43—22no—
611C4⋊Dic43—41no—
612Dic43⋊C4—22no—
613Dic43⋊C4—22no—
614Dic43⋊C4—22no—
615Dic43⋊C4—22no—
616Dic43⋊C4—22no—
617Dic43⋊C4—22no—
618Dic43⋊C4—22no—
619Dic43⋊C4—41no—
620Dic43⋊C4—41no—
621Dic43⋊C4—41no—
622Dic43⋊C4—41no—
623C4×Dic43—22no—
624C4×Dic43—41no—
625C4×Dic43—41no—
626C4×Dic43—41no—
627C4×Dic43—41no—
628C4×Dic43C2×D414yes—
629C23×C43—21no—
630C23×C43—21no—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43C2511yescharacteristic
637C22×D43—21no—
638C22×D43—21no—
639C22×D43—21no—
640C22×D43—21no—
641C22×D43—21no—
642C22×D43—21no—
643C22×D43—21no—
644C22×D43—21no—
645C22×D43—21no—
646C22×D43—21no—
647C22×D43—21no—
648C22×D43—21no—
649C22×D43—21no—
650C22×D43—21no—
651C22×D43—21no—
652C22×D43—21no—
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—21no—
657C22×D43—21no—
658C22×D43—21no—
659C22×D43—21no—
660C22×D43—21no—
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—21no—
667C22×D43—21no—
668C22×D43—21no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—44no—
685C22×D43—82no—
686C22×D43—82no—
687C22×D43—82no—
688C22×D43—82no—
689C22×D43—82no—
690C22×D43—82no—
691C22×D43C22×D412yes—
692C22×D43C22×D412yes—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43C22×D412yes—
731C2×C4×C43C22×D412yes—
732C2×C4×C43C22×D412yes—
733C2×C4×C43H(5,𝔽2)12yes—
734C2×C4×C43H(5,𝔽2)12yes—
735C22⋊D43—82no—
736C22⋊D43—82no—
737C22⋊D43—82no—
738C22⋊D43—82no—
739C22⋊D43—82no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43C22×D412yes—
765C2×Dic43C22×D412yes—
766C2×Dic43H(5,𝔽2)12yes—
767D172—44no—
768D172—44no—
769D172—44no—
770D172—82no—
771D172—82no—
772D172—82no—
773D172—82no—
774D172—82no—
775D172—82no—
776D172—82no—
777D172—82no—
778D172—82no—
779D172—82no—
780D172—82no—
781D172—82no—
782D172—82no—
783D172—82no—
784D172—82no—
785D172—82no—
786D172—82no—
787C4×D43—44no—
788C4×D43—44no—
789C4×D43—44no—
790C4×D43—44no—
791C4×D43—44no—
792C4×D43—82no—
793C4×D43—82no—
794C4×D43—82no—
795C4×D43—82no—
796Dic86—82no—
797#36744—431nomaximal, Sylow
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43C23×D411yescharacteristic
806C22×C43C2×H(5,𝔽2)11yescharacteristic
807C22×C43C2×H(5,𝔽2)11yescharacteristic
808C22×C43C2×H(5,𝔽2)11yescharacteristic
809C22×C43#58511yescharacteristic
810C22×C43#58511yescharacteristic
811C22×C43#58511yescharacteristic
812C2×D43—22no—
813C2×D43—22no—
814C2×D43—22no—
815C2×D43—22no—
816C2×D43—22no—
817C2×D43—22no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—41no—
828C2×D43—41no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—88no—
862C4×C43—22no—
863C4×C43—22no—
864C4×C43—22no—
865C4×C43—22no—
866C4×C43—22no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43—41no—
870C4×C43—41no—
871C4×C43—41no—
872C4×C43—41no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43—41no—
876Dic43—22no—
877Dic43—22no—
878Dic43—22no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882Dic43—41no—
883Dic43—41no—
884Dic43—41no—
885C2×#540—431no—
886C2×#538—431no—
887#2856—431no—
888#2854—431no—
889#2721D4311yescharacteristic, complemented
890#2714—431no—
891#2694—431no—
892#2681—431no—
893#2680—431no—
894#2678—431no—
895#2676—431no—
896#2675—431no—
897#2673—431no—
898#2673—431no—
899#2672—431no—
900#2671—431no—
901#2671—431no—
902#2669—431no—
903#2669—431no—
904#2668—431no—
905#2661—431no—
906#2661—431no—
907#2610—431no—
908#2603—431no—
909#2602—431no—
910#2601—431no—
911#2540—431no—
912#2539—431no—
913#2414—431no—
914#2411—431no—
915#2290—431no—
916C2×C43—81no—
917C2×C43#344911yescharacteristic
918C2×C43#349611yescharacteristic
919C2×C43#349811yescharacteristic
920C2×C43#353411yescharacteristic
921C2×C43#354211yescharacteristic
922C2×C43#355111yescharacteristic
923C2×C43#356211yescharacteristic
924D43—42no—
925D43—42no—
926D43—81no—
927D43—81no—
928D43—81no—
929D43—81no—
930D43—81no—
931#540—868no—
932#538—868no—
933C2×#127—431no—
934C2×#127—431no—
935C2×#126—431no—
936C2×#126C2×D4311yescharacteristic
937C2×#125C2×D4311yescharacteristic, complemented
938C2×#124—431no—
939C2×#124—431no—
940C2×#123—431no—
941C2×#123—431no—
942C2×#123—431no—
943C2×#123—431no—
944C2×#123—431no—
945C2×#123—431no—
946C2×#123—431no—
947C2×#123—431no—
948C2×C22⋊Q8—431no—
949C2×C22⋊Q8—431no—
950C2×C22⋊Q8—431no—
951C2×#121—431no—
952C2×#121—431no—
953C2×#121—431no—
954C2×#121—431no—
955C2×#121—431no—
956C2×#121—431no—
957C2×#121—431no—
958C2×#121—431no—
959C2×#121—431no—
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—431no—
963C2×#121—431no—
964C2×#121—431no—
965C2×#121—431no—
966C2×#121—431no—
967C2×#121—431no—
968C2×#120—431no—
969C2×#120—431no—
970C2×#120—431no—
971C2×#120—431no—
972C2×#120—431no—
973C2×C4×D4—431no—
974C2×C4×D4—431no—
975C2×C4×D4—431no—
976C2×#117—431no—
977C2×#117—431no—
978C22×C22⋊C4—431no—
979C22×C42—431no—
980#399—431no—
981#399—431no—
982#399C2×D4311yescharacteristic
983#399C2×D4311yescharacteristic
984#398—431no—
985#398—431no—
986#398C2×D4311yescharacteristic, complemented
987#398C2×D4311yescharacteristic, complemented
988#397—431no—
989#397—431no—
990#397—431no—
991#397C2×D4311yescharacteristic
992#396—431no—
993#396—431no—
994#396—431no—
995#396C2×D4311yescharacteristic
996#395—431no—
997#394—431no—
998#394—431no—
999#394—431no—
1000#394—431no—
1001#394—431no—
1002#394—431no—
1003#394—431no—
1004#394—431no—
1005#394—431no—
1006#394—431no—
1007#394—431no—
1008#394—431no—
1009#394—431no—
1010#394—431no—
1011#394—431no—
1012#393—431no—
1013#392—431no—
1014#392—431no—
1015#392—431no—
1016#392—431no—
1017#392—431no—
1018#392—431no—
1019#392—431no—
1020#392—431no—
1021#392—431no—
1022#392—431no—
1023#392—431no—
1024#392—431no—
1025#392—431no—
1026#392—431no—
1027#392—431no—
1028#390—431no—
1029#390—431no—
1030#390—431no—
1031#390—431no—
1032#390—431no—
1033#390—431no—
1034#390—431no—
1035#390—431no—
1036#390—431no—
1037#390—431no—
1038#390—431no—
1039#390—431no—
1040#390—431no—
1041#389—431no—
1042#389—431no—
1043#389C2×D4311yescharacteristic, complemented
1044#388—431no—
1045#388—431no—
1046#388—431no—
1047#388—431no—
1048#388—431no—
1049#388—431no—
1050#388—431no—
1051#388—431no—
1052#388—431no—
1053#388—431no—
1054#388—431no—
1055#388—431no—
1056#388C2×D4311yescharacteristic
1057#388C2×D4311yescharacteristic
1058#387—431no—
1059#387C2×D4311yescharacteristic, complemented
1060#387C2×D4311yescharacteristic, complemented
1061#387C2×D4311yescharacteristic, complemented
1062#386—431no—
1063#386—431no—
1064#386—431no—
1065#386—431no—
1066#386—431no—
1067#386—431no—
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386—431no—
1072#386—431no—
1073#385—431no—
1074#385—431no—
1075#385—431no—
1076#385—431no—
1077#385—431no—
1078#385—431no—
1079#385—431no—
1080#384C2×D4311yescharacteristic, complemented
1081#380—431no—
1082#380—431no—
1083#379—431no—
1084C4×C4⋊C4—431no—
1085C4×C22⋊C4—431no—
1086C4×C22⋊C4—431no—
1087#376—431no—
1088C43#3674411yescharacteristic, complemented, Sylow
1089C25—431no—
1090C22×Q8—431no—
1091C22×D4—431no—
1092C22×D4—431no—
1093C22×D4—431no—
1094C22×D4—431no—
1095C22×D4—431no—
1096C22×D4—431no—
1097C22×D4—431no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—431no—
1101C22×D4—431no—
1102C22×D4—431no—
1103C22×D4—431no—
1104C22×D4—431no—
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—431no—
1109C22×D4—431no—
1110C22×D4—431no—
1111C22×D4—431no—
1112C22×D4—431no—
1113C22×D4—431no—
1114C22×D4—431no—
1115C22×D4—431no—
1116C23×C4—431no—
1117C23×C4—431no—
1118C23×C4—431no—
1119C23×C4—431no—
1120C23×C4—431no—
1121C23×C4—431no—
1122C23×C4—431no—
1123C23×C4—431no—
1124C23×C4—431no—
1125#127—864no—
1126#127—1722no—
1127#126—24no—
1128#126—864no—
1129#125—24no—
1130#124—864no—
1131#124—864no—
1132#123—864no—
1133#123—864no—
1134#123—864no—
1135#123—864no—
1136#123—864no—
1137#123—864no—
1138#123—1722no—
1139#123—1722no—
1140C22⋊Q8—864no—
1141C22⋊Q8—1722no—
1142C22⋊Q8—1722no—
1143#121—864no—
1144#121—864no—
1145#121—864no—
1146#121—864no—
1147#121—864no—
1148#121—864no—
1149#121—864no—
1150#121—864no—
1151#121—864no—
1152#121—1722no—
1153#121—1722no—
1154#121—1722no—
1155#121—1722no—
1156#121—1722no—
1157#121—1722no—
1158#121—1722no—
1159#121—1722no—
1160#120—864no—
1161#120—864no—
1162#120—1722no—
1163#120—1722no—
1164#120—1722no—
1165C4×D4—438no—
1166C4×D4—864no—
1167C4×D4—864no—
1168#117—864no—
1169#117—1722no—
1170C2×C4⋊C4—431no—
1171C2×C4⋊C4—431no—
1172C2×C4⋊C4—431no—
1173C2×C4⋊C4—431no—
1174C2×C4⋊C4—431no—
1175C2×C4⋊C4—431no—
1176C2×C4⋊C4—431no—
1177C2×C4⋊C4—431no—
1178C2×C4⋊C4—431no—
1179C2×C4⋊C4—431no—
1180C2×C4⋊C4—431no—
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4C22×D4311yescharacteristic
1184C2×C4⋊C4C22×D4311yescharacteristic
1185C2×C4⋊C4C22×D4311yescharacteristic
1186C2×C4⋊C4C22×D4311yescharacteristic
1187C2×C4⋊C4C22×D4311yescharacteristic
1188C2×C4⋊C4C22×D4311yescharacteristic
1189C2×C4⋊C4C22×D4311yescharacteristic
1190C2×C4⋊C4C22×D4311yescharacteristic
1191C2×C4⋊C4C22×D4311yescharacteristic
1192C2×C4⋊C4C22×D4311yescharacteristic
1193C2×C4⋊C4C22×D4311yescharacteristic
1194C2×C4⋊C4C22×D4311yescharacteristic
1195C2×C4⋊C4C22×D4311yescharacteristic
1196C2×C4⋊C4C22×D4311yescharacteristic
1197C2×C4⋊C4C22×D4311yescharacteristic
1198C2×C22⋊C4—431no—
1199C2×C22⋊C4—431no—
1200C2×C22⋊C4—431no—
1201C2×C22⋊C4—431no—
1202C2×C22⋊C4—431no—
1203C2×C22⋊C4—431no—
1204C2×C22⋊C4—431no—
1205C2×C22⋊C4—431no—
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—431no—
1228C2×C22⋊C4—431no—
1229C2×C22⋊C4—431no—
1230C2×C22⋊C4—431no—
1231C2×C22⋊C4—431no—
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—864no—
1250C2×C22⋊C4C22×D4311yescharacteristic
1251C2×C22⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4C22×D4311yescharacteristic
1253C2×C22⋊C4C22×D4311yescharacteristic
1254C2×C22⋊C4C22×D4311yescharacteristic
1255C2×C22⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4C22×D4311yescharacteristic
1257C2×C42—431no—
1258C2×C42—431no—
1259C2×C42—431no—
1260C2×C42—431no—
1261C2×C42—431no—
1262C2×C42—431no—
1263C2×C42—1722no—
1264C2×C42C22×D4311yescharacteristic
1265C2×C42C22×D4311yescharacteristic
1266C2×C42C22×D4311yescharacteristic
1267#95—431no—
1268#95—431no—
1269#95—431no—
1270#95—431no—
1271#95—431no—
1272#95—431no—
1273#95—431no—
1274#95—431no—
1275#95—431no—
1276#95—431no—
1277#95—431no—
1278#95—431no—
1279#95—431no—
1280#95—431no—
1281#95C22×D4311yescharacteristic
1282#95C22×D4311yescharacteristic
1283#95C22×D4311yescharacteristic
1284#95C22×D4311yescharacteristic
1285#95C22×D4311yescharacteristic
1286#95C22×D4311yescharacteristic
1287#95C22×D4311yescharacteristic
1288#95C22×D4311yescharacteristic
1289#95C22×D4311yescharacteristic
1290#95C22×D4311yescharacteristic
1291C24—431no—
1292C24—431no—
1293C24—431no—
1294C24—431no—
1295C24—431no—
1296C24—431no—
1297C24—431no—
1298C24—862no—
1299C24—1721no—
1300C24—1721no—
1301C24—1721no—
1302C24—1721no—
1303C24—1721no—
1304C24—1721no—
1305C24C23×D4311yescharacteristic
1306C2×Q8—862no—
1307C2×Q8—1721no—
1308C2×Q8—1721no—
1309C2×D4—434no—
1310C2×D4—862no—
1311C2×D4—862no—
1312C2×D4—862no—
1313C2×D4—862no—
1314C2×D4—862no—
1315C2×D4—862no—
1316C2×D4—862no—
1317C2×D4—862no—
1318C2×D4—862no—
1319C2×D4—862no—
1320C2×D4—862no—
1321C2×D4—862no—
1322C2×D4—862no—
1323C2×D4—862no—
1324C2×D4—862no—
1325C2×D4—862no—
1326C2×D4—862no—
1327C2×D4—862no—
1328C2×D4—862no—
1329C2×D4—862no—
1330C2×D4—1721no—
1331C2×D4—1721no—
1332C2×D4—1721no—
1333C2×D4—1721no—
1334C2×D4—1721no—
1335C2×D4—1721no—
1336C2×D4—1721no—
1337C2×D4—1721no—
1338C2×D4—1721no—
1339C2×D4—1721no—
1340C2×D4—1721no—
1341C2×D4—1721no—
1342C2×D4—1721no—
1343C2×D4—1721no—
1344C2×D4—1721no—
1345C2×D4—1721no—
1346C2×D4—1721no—
1347C2×D4—1721no—
1348C2×D4—1721no—
1349C2×D4—1721no—
1350C2×D4—1721no—
1351C2×D4—1721no—
1352C2×D4—1721no—
1353C2×D4—1721no—
1354C2×D4—1721no—
1355C2×D4—1721no—
1356C2×D4—1721no—
1357C2×D4—1721no—
1358C2×D4—1721no—
1359C2×D4—1721no—
1360C2×D4—1721no—
1361C2×D4—1721no—
1362C2×D4—1721no—
1363C2×D4—1721no—
1364C2×D4—1721no—
1365C2×D4—1721no—
1366C2×D4—1721no—
1367C2×D4—1721no—
1368C2×D4—1721no—
1369C2×D4—1721no—
1370C2×D4—1721no—
1371C2×D4—1721no—
1372C2×D4—1721no—
1373C2×D4—1721no—
1374C2×D4—1721no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4—1721no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4—1721no—
1382C2×D4—1721no—
1383C2×D4—1721no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—434no—
1388C22×C4—434no—
1389C22×C4—431no—
1390C22×C4—431no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—862no—
1396C22×C4—862no—
1397C22×C4—862no—
1398C22×C4—862no—
1399C22×C4—862no—
1400C22×C4—862no—
1401C22×C4—862no—
1402C22×C4—862no—
1403C22×C4—1721no—
1404C22×C4—1721no—
1405C22×C4—1721no—
1406C22×C4—1721no—
1407C22×C4—1721no—
1408C22×C4—1721no—
1409C22×C4—1721no—
1410C22×C4—1721no—
1411C22×C4—1721no—
1412C22×C4—1721no—
1413C22×C4—1721no—
1414C22×C4—1721no—
1415C22×C4—1721no—
1416C22×C4—1721no—
1417C22×C4—1721no—
1418C22×C4—1721no—
1419C22×C4—1721no—
1420C22×C4C23×D4311yescharacteristic
1421C22×C4C23×D4311yescharacteristic
1422C22×C4C23×D4311yescharacteristic
1423C22×C4C23×D4311yescharacteristic
1424C22×C4C23×D4311yescharacteristic
1425C22×C4C23×D4311yescharacteristic
1426C22×C4C23×D4311yescharacteristic
1427C22×C4C23×D4311yescharacteristic
1428C22×C4C23×D4311yescharacteristic
1429C22×C4C23×D4311yescharacteristic
1430C22×C4C23×D4311yescharacteristic
1431C22×C4C23×D4311yescharacteristic
1432C22×C4C23×D4311yescharacteristic
1433C22×C4C23×D4311yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—41no—
1447C4⋊C4—41no—
1448C4⋊C4—862no—
1449C4⋊C4—862no—
1450C4⋊C4—862no—
1451C4⋊C4—862no—
1452C4⋊C4—862no—
1453C4⋊C4—862no—
1454C4⋊C4—862no—
1455C4⋊C4—862no—
1456C4⋊C4—1721no—
1457C4⋊C4—1721no—
1458C4⋊C4—1721no—
1459C4⋊C4—1721no—
1460C4⋊C4—1721no—
1461C4⋊C4D4×D4314yes—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—434no—
1470C22⋊C4—434no—
1471C22⋊C4—862no—
1472C22⋊C4—862no—
1473C22⋊C4—862no—
1474C22⋊C4—862no—
1475C22⋊C4—862no—
1476C22⋊C4—862no—
1477C22⋊C4—862no—
1478C22⋊C4—862no—
1479C22⋊C4—862no—
1480C22⋊C4—862no—
1481C22⋊C4—862no—
1482C22⋊C4—862no—
1483C22⋊C4—862no—
1484C22⋊C4—862no—
1485C22⋊C4—862no—
1486C22⋊C4—862no—
1487C22⋊C4—862no—
1488C22⋊C4—862no—
1489C22⋊C4—862no—
1490C22⋊C4—862no—
1491C22⋊C4—862no—
1492C22⋊C4—862no—
1493C22⋊C4—862no—
1494C22⋊C4—862no—
1495C22⋊C4—862no—
1496C22⋊C4—862no—
1497C22⋊C4—1721no—
1498C22⋊C4—1721no—
1499C22⋊C4—1721no—
1500C22⋊C4—1721no—
1501C22⋊C4—1721no—
1502C22⋊C4—1721no—
1503C22⋊C4—1721no—
1504C22⋊C4—1721no—
1505C22⋊C4—1721no—
1506C22⋊C4—1721no—
1507C22⋊C4—1721no—
1508C22⋊C4—1721no—
1509C22⋊C4—1721no—
1510C22⋊C4—1721no—
1511C22⋊C4—1721no—
1512C22⋊C4—1721no—
1513C22⋊C4—1721no—
1514C22⋊C4—1721no—
1515C22⋊C4—1721no—
1516C22⋊C4—1721no—
1517C22⋊C4—1721no—
1518C22⋊C4—1721no—
1519C22⋊C4—1721no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—434no—
1524C42—862no—
1525C42—1721no—
1526C42—1721no—
1527C42—1721no—
1528C42—1721no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—432no—
1537C23—432no—
1538C23—861no—
1539C23—861no—
1540C23—861no—
1541C23—861no—
1542C23—861no—
1543C23—861no—
1544C23—861no—
1545C23—861no—
1546C23—861no—
1547C23—861no—
1548C23—861no—
1549C23—861no—
1550C23—861no—
1551C23—861no—
1552C23—861no—
1553C23—861no—
1554C23—861no—
1555C23—861no—
1556C23—861no—
1557C23—861no—
1558C23—861no—
1559C23—861no—
1560C23—861no—
1561C23—861no—
1562C23—861no—
1563C23—861no—
1564C23—861no—
1565C23—861no—
1566C23—861no—
1567C23—861no—
1568C23—861no—
1569C23—861no—
1570C23—861no—
1571C23—861no—
1572C23—861no—
1573C23—861no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—861no—
1584C23—861no—
1585C23—3442no—
1586C23—3442no—
1587C23—3442no—
1588C23—3442no—
1589C23—3442no—
1590C23—3442no—
1591C23—1724no—
1592C23C24×D4311yescharacteristic
1593Q8—3442no—
1594D4—3442no—
1595D4—3442no—
1596D4—3442no—
1597D4—3442no—
1598D4—3442no—
1599D4—3442no—
1600D4—3442no—
1601D4—3442no—
1602D4—3442no—
1603D4—3442no—
1604D4—3442no—
1605D4—3442no—
1606D4—3442no—
1607D4—3442no—
1608D4—3442no—
1609D4—3442no—
1610D4—3442no—
1611D4—3442no—
1612D4—3442no—
1613D4—3442no—
1614D4—3442no—
1615D4—3442no—
1616D4—1724no—
1617D4—1724no—
1618D4—1724no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—432no—
1657C2×C4—432no—
1658C2×C4—432no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
1664C2×C4—861no—
1665C2×C4—861no—
1666C2×C4—861no—
1667C2×C4—861no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—861no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—3442no—
1684C2×C4—3442no—
1685C2×C4—3442no—
1686C2×C4—3442no—
1687C2×C4—1724no—
1688C2×C4—1724no—
1689C2×C4—1724no—
1690C2×C4—1724no—
1691C2×C4—1724no—
1692C2×C4C2×D4×D4312yes—
1693C2×C4C2×D4×D4312yes—
1694C2×C4C2×D4×D4312yes—
1695C2×C4#1306337112yes—
1696C2×C4#1306337112yes—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—862no—
1705C22—862no—
1706C22—862no—
1707C22—862no—
1708C22—862no—
1709C22—862no—
1710C22—3448no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—1721no—
1723C22—1721no—
1724C22—1721no—
1725C22—1721no—
1726C22—1721no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—1721no—
1737C22—1721no—
1738C22—1721no—
1739C22—1721no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—1721no—
1753C22—1721no—
1754C22C22×D4×D4311yescharacteristic
1755C22H(5,𝔽2)×D4311yescharacteristic
1756C22C2×#1306337111yescharacteristic
1757C22C2×#1306337111yescharacteristic
1758C22#1458373611yescharacteristic
1759C22#1458373611yescharacteristic
1760C22#1458373611yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—862no—
1776C4—862no—
1777C4—862no—
1778C4—1721no—
1779C4—1721no—
1780C4—1721no—
1781C4—1721no—
1782C4—1721no—
1783C4—1721no—
1784C2—81no—
1785C2—3441no—
1786C2—3441no—
1787C2—3441no—
1788C2—3441no—
1789C2—3441no—
1790C2—1722no—
1791C2—1722no—
1792C2#1914792711yescharacteristic
1793C2#1914835311yescharacteristic
1794C2#1914837211yescharacteristic
1795C2#1914878311yescharacteristic
1796C2#1914890511yescharacteristic
1797C2#1914902011yescharacteristic
1798C2#1914918911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2721C2
hypercenter#2721D43
hypocenterC43#36744
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2721

Complements

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

NH ≅ G/Ntype
1. C2×#14583505C2semidirect
2. C2×#14583488C2semidirect
3. #19142941C2semidirect
4. #19142922C2semidirect
5. #19141387C2semidirect
6. #19141109C2semidirect
7. #19140940C2semidirect
8. #19140935C2semidirect
9. #19140919C2semidirect
10. #19140894C2semidirect
11. #19140888C2semidirect
12. #19140864C2semidirect
13. #19140864C2semidirect
14. #19140843C2semidirect
15. #19140838C2semidirect
16. #19140836C2semidirect
17. #19140810C2semidirect
18. #19140810C2semidirect
19. #19140804C2semidirect
20. #19140729C2semidirect
21. #19140728C2semidirect
22. #19140280C2semidirect
23. #19140223C2semidirect
24. #19140205C2semidirect
25. #19140190C2semidirect
26. #19139530C2semidirect
27. #19139522C2semidirect
28. #19138011C2semidirect
29. #19137975C2semidirect
30. #19137033C2semidirect
31. C43×#2721C2semidirect
44. C2×#13063310C22semidirect
45. C2×#13063310C22semidirect
48. C2×#13063303C22semidirect
49. C2×#13063303C22semidirect
57. C2×#13063300C22semidirect
58. C2×#13063300C22semidirect
59. C2×#13063300C22semidirect
60. C2×#13063300C22semidirect
61. C2×#13063300C22semidirect
62. C2×#13063300C22semidirect
74. C2×#13063287C22semidirect
76. C2×#13063282C22semidirect
78. C2×C42×D43C22semidirect
80. #14582834C22semidirect
81. #14582830C22semidirect
82. #14582830C22semidirect
85. #14582825C22semidirect
87. #14582823C22semidirect
89. #14582819C22semidirect
93. #14582817C22semidirect
94. #14582817C22semidirect
95. #14582817C22semidirect
101. #14582816C22semidirect
102. #14582816C22semidirect
105. #14582812C22semidirect
113. #14582809C22semidirect
114. #14582809C22semidirect
121. #14582801C22semidirect
126. #14582800C22semidirect
127. #14582800C22semidirect
128. #14582800C22semidirect
129. #14582800C22semidirect
134. #14582796C22semidirect
135. #14582794C22semidirect
136. #14582791C22semidirect
137. #14582791C22semidirect
138. #14582791C22semidirect
141. #14582790C22semidirect
142. #14582790C22semidirect
143. #14582790C22semidirect
146. #14582788C22semidirect
148. #14582785C22semidirect
155. #14582777C22semidirect
156. #14582777C22semidirect
157. #14582777C22semidirect
160. #14582773C22semidirect
162. #14582770C22semidirect
163. #14582770C22semidirect
164. #14582770C22semidirect
165. #14582770C22semidirect
166. #14582770C22semidirect
167. #14582758C22semidirect
168. #14582756C22semidirect
170. #14582750C22semidirect
172. #14582746C22semidirect
173. #14582744C22semidirect
175. C2×#125×C43C22semidirect
178. C43×#398C22semidirect
179. C43×#398C22semidirect
182. C43×#389C22semidirect
185. C43×#387C22semidirect
186. C43×#387C22semidirect
187. C43×#387C22semidirect
188. C43×#384C22semidirect
265. #13063287D4semidirect
889. #2721D43semidirect
937. C2×#125C2×D43semidirect
986. #398C2×D43semidirect
987. #398C2×D43semidirect
1043. #389C2×D43semidirect
1059. #387C2×D43semidirect
1060. #387C2×D43semidirect
1061. #387C2×D43semidirect
1080. #384C2×D43semidirect
1088. C43#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#145835052
C2×#145834882
#191429412
#191429222
#191413872
#191411092
#191409402
#191409352
#191409192
#191408942
#191408882
#191408642
#191408432
#191408382
#191408362
#191408102
#191408042
#191407292
#191407282
#191402802
#191402232
#191402052
#191401902
#191395302
#191395222
#191380112
#191379752
#191370332
C43×#27212
#3674443