Finite Group Databasebeta

← #25269251

Subgroups — #25269251

Order 11008.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583484C211yesmaximal, characteristic, complemented
2C22×D4×Dic43C211yesmaximal, characteristic, complemented
3#19142908C211yesmaximal, characteristic, complemented
4#19142892C211yesmaximal, characteristic, complemented
5#19142885C211yesmaximal, characteristic, complemented
6#19142875C211yesmaximal, characteristic, complemented
7#19140489C211yesmaximal, characteristic, complemented
8#19140478C211yesmaximal, characteristic, complemented
9#19140446C211yesmaximal, characteristic, complemented
10#19140431C211yesmaximal, characteristic, complemented
11#19138855C211yesmaximal, characteristic, complemented
12#19138720C211yesmaximal, characteristic, complemented
13#19138641C211yesmaximal, characteristic, complemented
14#19138527C211yesmaximal, characteristic, complemented
15#19138488C211yesmaximal, characteristic, complemented
16#19138482C211yesmaximal, characteristic, complemented
17#19138425C211yesmaximal, characteristic, complemented
18#19138343C211yesmaximal, characteristic, complemented
19#19138336C211yesmaximal, characteristic, complemented
20#19138261C211yesmaximal, characteristic, complemented
21#19138135C211yesmaximal, characteristic, complemented
22#19138127C211yesmaximal, characteristic, complemented
23#19138053C211yesmaximal, characteristic, complemented
24#19137969C211yesmaximal, characteristic, complemented
25#19137969C211yesmaximal, characteristic, complemented
26#19137296C211yesmaximal, characteristic, complemented
27#19137256C211yesmaximal, characteristic, complemented
28#19137221C211yesmaximal, characteristic, complemented
29#19137094C211yesmaximal, characteristic, complemented
30C2×#14582779C211yesmaximal, characteristic, complemented
31C43×#2403C211yesmaximal, characteristic, complemented
32C24×Dic43C2211yescharacteristic
33C24×Dic43C2211yescharacteristic, complemented
34#14583484—28no—
35C2×#13063318C2211yescharacteristic, complemented
36C2×#13063318C2211yescharacteristic, complemented
37C2×#13063312C2211yescharacteristic, complemented
38C2×#13063311C2211yescharacteristic, complemented
39C2×#13063307C2211yescharacteristic, complemented
40C2×#13063306C2211yescharacteristic, complemented
41C2×#13063306C2211yescharacteristic, complemented
42C2×#13063302C2211yescharacteristic, complemented
43C2×#13063302C2211yescharacteristic, complemented
44C2×#13063297C2211yescharacteristic
45C2×#13063297C2211yescharacteristic
46C2×#13063297C2211yescharacteristic
47C2×#13063297C2211yescharacteristic
48C2×#13063297C2211yescharacteristic, complemented
49C2×#13063297C2211yescharacteristic, complemented
50C2×#13063296C2211yescharacteristic, complemented
51C2×#13063294C2211yescharacteristic
52C2×#13063294C2211yescharacteristic, complemented
53C2×#13063294C2211yescharacteristic, complemented
54C2×D4×Dic43—28no—
55C2×D4×Dic43C2211yescharacteristic
56C2×D4×Dic43C2211yescharacteristic
57C2×D4×Dic43C2211yescharacteristic
58C2×D4×Dic43C2211yescharacteristic
59C2×D4×Dic43C2211yescharacteristic, complemented
60C2×D4×Dic43C2211yescharacteristic, complemented
61C2×D4×Dic43C2211yescharacteristic, complemented
62C2×D4×Dic43C2211yescharacteristic, complemented
63C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
64C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
65C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
66C22×C4⋊Dic43C2211yescharacteristic, complemented
67C22×C22⋊Dic43C2211yescharacteristic
68C22×C22⋊Dic43C2211yescharacteristic
69C22×C22⋊Dic43C2211yescharacteristic, complemented
70C22×C22⋊Dic43C2211yescharacteristic, complemented
71C22×C22⋊Dic43C2211yescharacteristic, complemented
72C22×C4×Dic43C2211yescharacteristic, complemented
73#14582841C2211yescharacteristic, complemented
74#14582839C2211yescharacteristic, complemented
75#14582835C2211yescharacteristic, complemented
76#14582835C2211yescharacteristic, complemented
77#14582833C2211yescharacteristic, complemented
78#14582826C2211yescharacteristic, complemented
79#14582824C2211yescharacteristic, complemented
80#14582824C2211yescharacteristic, complemented
81#14582822C2211yescharacteristic, complemented
82#14582822C2211yescharacteristic, complemented
83#14582822C2211yescharacteristic, complemented
84#14582822C2211yescharacteristic, complemented
85#14582815C2211yescharacteristic, complemented
86#14582815C2211yescharacteristic, complemented
87#14582813C2211yescharacteristic, complemented
88#14582813C2211yescharacteristic, complemented
89#14582813C2211yescharacteristic, complemented
90#14582813C2211yescharacteristic, complemented
91#14582813C2211yescharacteristic, complemented
92#14582813C2211yescharacteristic, complemented
93#14582813C2211yescharacteristic, complemented
94#14582811C2211yescharacteristic, complemented
95#14582811C2211yescharacteristic, complemented
96#14582807C2211yescharacteristic, complemented
97#14582807C2211yescharacteristic, complemented
98#14582807C2211yescharacteristic, complemented
99#14582807C2211yescharacteristic, complemented
100#14582807C2211yescharacteristic, complemented
101#14582803C2211yescharacteristic, complemented
102#14582802C2211yescharacteristic, complemented
103#14582802C2211yescharacteristic, complemented
104#14582799C2211yescharacteristic, complemented
105#14582793C2211yescharacteristic, complemented
106#14582793C2211yescharacteristic, complemented
107#14582793C2211yescharacteristic, complemented
108#14582792C2211yescharacteristic, complemented
109#14582792C2211yescharacteristic, complemented
110#14582792C2211yescharacteristic, complemented
111#14582792C2211yescharacteristic, complemented
112#14582791C2211yescharacteristic, complemented
113#14582788C2211yescharacteristic, complemented
114#14582787C2211yescharacteristic, complemented
115#14582787C2211yescharacteristic, complemented
116#14582787C2211yescharacteristic, complemented
117#14582786C2211yescharacteristic, complemented
118#14582786C2211yescharacteristic, complemented
119#14582784C2211yescharacteristic, complemented
120#14582784C2211yescharacteristic, complemented
121#14582782C2211yescharacteristic, complemented
122#14582781C2211yescharacteristic, complemented
123#14582779C2211yescharacteristic
124#14582779C2211yescharacteristic
125#14582779C2211yescharacteristic
126#14582779C2211yescharacteristic
127#14582779C2211yescharacteristic
128#14582779C2211yescharacteristic
129#14582779C2211yescharacteristic
130#14582779C2211yescharacteristic
131#14582779C2211yescharacteristic, complemented
132#14582779C2211yescharacteristic, complemented
133#14582779C2211yescharacteristic, complemented
134#14582779C2211yescharacteristic, complemented
135#14582779C2211yescharacteristic, complemented
136#14582779C2211yescharacteristic, complemented
137#14582779C2211yescharacteristic, complemented
138#14582779C2211yescharacteristic, complemented
139#14582778C2211yescharacteristic, complemented
140#14582778C2211yescharacteristic, complemented
141#14582776C2211yescharacteristic, complemented
142#14582776C2211yescharacteristic, complemented
143#14582776C2211yescharacteristic, complemented
144#14582776C2211yescharacteristic, complemented
145#14582776C2211yescharacteristic, complemented
146#14582775C2211yescharacteristic, complemented
147#14582774C2211yescharacteristic, complemented
148#14582774C2211yescharacteristic, complemented
149#14582773C2211yescharacteristic, complemented
150#14582772C2211yescharacteristic, complemented
151#14582772C2211yescharacteristic, complemented
152#14582771C2211yescharacteristic, complemented
153#14582771C2211yescharacteristic, complemented
154#14582771C2211yescharacteristic, complemented
155#14582771C2211yescharacteristic, complemented
156#14582771C2211yescharacteristic, complemented
157#14582771C2211yescharacteristic, complemented
158#14582771C2211yescharacteristic, complemented
159#14582766C2211yescharacteristic, complemented
160#14582763C2211yescharacteristic, complemented
161#14582760C2211yescharacteristic, complemented
162#14582760C2211yescharacteristic, complemented
163#14582757C2211yescharacteristic, complemented
164#14582757C2211yescharacteristic, complemented
165#14582757C2211yescharacteristic, complemented
166#14582757C2211yescharacteristic, complemented
167#14582755C2211yescharacteristic, complemented
168#14582755C2211yescharacteristic, complemented
169C22⋊C4×Dic43C2211yescharacteristic, complemented
170C22⋊C4×Dic43C2211yescharacteristic, complemented
171C22⋊C4×Dic43C2211yescharacteristic, complemented
172C2×C43⋊#95C2211yescharacteristic, complemented
173C2×C43⋊#95C2211yescharacteristic, complemented
174C23×D4×C43C2211yescharacteristic
175C23×D4×C43C2211yescharacteristic
176C2×#120×C43C2211yescharacteristic
177C2×#120×C43C2211yescharacteristic
178C2×#120×C43C2211yescharacteristic
179C2×#120×C43C2211yescharacteristic
180C43×#392C2211yescharacteristic
181C43×#392C2211yescharacteristic
182C43×#392C2211yescharacteristic
183C43×#392C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#386C2211yescharacteristic
187C43×#386C2211yescharacteristic
188C43×#379C2211yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C23×Dic43—24no—
198C23×Dic43—24no—
199C23×Dic43—42no—
200C23×Dic43—42no—
201C23×Dic43—42no—
202C23×Dic43—42no—
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C23×Dic43C2311yescharacteristic
206C23×Dic43C2311yescharacteristic
207C23×Dic43C2311yescharacteristic
208C23×Dic43C2311yescharacteristic
209C23×Dic43C2311yescharacteristic
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C23×Dic43C2311yescharacteristic
213C23×Dic43C2311yescharacteristic
214C23×Dic43C2311yescharacteristic
215C23×Dic43C2311yescharacteristic
216C23×Dic43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218#13063318—24no—
219#13063318—24no—
220#13063312—24no—
221#13063311—24no—
222#13063307—24no—
223#13063306—24no—
224#13063306—42no—
225#13063302—24no—
226#13063302—42no—
227#13063297—24no—
228#13063297—24no—
229#13063297—24no—
230#13063297—42no—
231#13063297—42no—
232#13063297—42no—
233#13063296—24no—
234#13063294—24no—
235#13063294—24no—
236#13063294—42no—
237D4×Dic43—24no—
238D4×Dic43—24no—
239D4×Dic43—24no—
240D4×Dic43—24no—
241D4×Dic43—24no—
242D4×Dic43—24no—
243D4×Dic43—24no—
244D4×Dic43D418yescomplemented
245(C22⋊D43)⋊C4—24no—
246(C22⋊D43)⋊C4—42no—
247(C22⋊D43)⋊C4—42no—
248C2×C4⋊Dic43—24no—
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×C4⋊Dic43C2311yescharacteristic
253C2×C4⋊Dic43C2311yescharacteristic
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×C22⋊Dic43—24no—
270C2×C22⋊Dic43—24no—
271C2×C22⋊Dic43—24no—
272C2×C22⋊Dic43—42no—
273C2×C22⋊Dic43—42no—
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic
292C2×C22⋊Dic43C2311yescharacteristic
293C2×C22⋊Dic43C2311yescharacteristic
294C2×C22⋊Dic43C2311yescharacteristic
295C2×C22⋊Dic43C2311yescharacteristic
296C2×C22⋊Dic43C2311yescharacteristic
297C2×C22⋊Dic43C2311yescharacteristic
298C2×C22⋊Dic43C2311yescharacteristic
299C2×C22⋊Dic43C2311yescharacteristic
300C2×C22⋊Dic43C2311yescharacteristic
301C2×C22⋊Dic43C2311yescharacteristic
302C2×C22⋊Dic43C2311yescharacteristic
303C2×C22⋊Dic43C2311yescharacteristic
304C2×C22⋊Dic43C2311yescharacteristic
305C2×C22⋊Dic43C2311yescharacteristic
306C2×C22⋊Dic43C2311yescharacteristic
307C2×C22⋊Dic43C2311yescharacteristic
308C2×C22⋊Dic43C2311yescharacteristic
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×C4×Dic43—24no—
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C2×C4×Dic43C2311yescharacteristic
321C2×C4×Dic43C2311yescharacteristic
322C2×C4×Dic43C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C25×C43C2311yescharacteristic
353C25×C43C2311yescharacteristic
354C25×C43C2311yescharacteristic
355C22×D4×C43—24no—
356C22×D4×C43—24no—
357C22×D4×C43—24no—
358C22×D4×C43—24no—
359C22×D4×C43—42no—
360C22×D4×C43—42no—
361C22×D4×C43C2311yescharacteristic
362C22×D4×C43C2311yescharacteristic
363C22×D4×C43C2311yescharacteristic
364C22×D4×C43C2311yescharacteristic
365C22×D4×C43C2311yescharacteristic
366C22×D4×C43C2311yescharacteristic
367C22×D4×C43C2311yescharacteristic
368C22×D4×C43C2311yescharacteristic
369C22×D4×C43C2311yescharacteristic
370C22×D4×C43C2311yescharacteristic
371C22×D4×C43C2311yescharacteristic
372C22×D4×C43C2311yescharacteristic
373C23×C4×C43C2311yescharacteristic
374C23×C4×C43C2311yescharacteristic
375#120×C43—24no—
376#120×C43—24no—
377#120×C43—42no—
378#120×C43—42no—
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C22⋊C4×C43C2311yescharacteristic
387C2×C22⋊C4×C43C2311yescharacteristic
388C2×C22⋊C4×C43C2311yescharacteristic
389C2×C22⋊C4×C43C2311yescharacteristic
390C2×C22⋊C4×C43C2311yescharacteristic
391C2×C22⋊C4×C43C2311yescharacteristic
392C2×C22⋊C4×C43C2311yescharacteristic
393#95×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395#95×C43C2311yescharacteristic
396#95×C43C2311yescharacteristic
397C24×C43—22no—
398C24×C43—22no—
399C24×C43—22no—
400C24×C43—22no—
401C24×C43—22no—
402C24×C43—22no—
403C24×C43—22no—
404C24×C43—22no—
405C24×C43—22no—
406C24×C43—22no—
407C24×C43—22no—
408C24×C43—22no—
409C24×C43—41no—
410C24×C43—41no—
411C24×C43—41no—
412C24×C43—41no—
413C24×C43—41no—
414C24×C43—41no—
415C24×C43—41no—
416C24×C43—41no—
417C24×C43#4114yes—
418C24×C43C2411yescharacteristic
419C24×C43C2411yescharacteristic
420C24×C43C2411yescharacteristic
421C24×C43C2411yescharacteristic
422C24×C43C2411yescharacteristic
423C24×C43C2411yescharacteristic
424C24×C43C2411yescharacteristic
425C23×D43C2411yescharacteristic
426C2×D4×C43—232no—
427C2×D4×C43—22no—
428C2×D4×C43—22no—
429C2×D4×C43—22no—
430C2×D4×C43—22no—
431C2×D4×C43—22no—
432C2×D4×C43—22no—
433C2×D4×C43—22no—
434C2×D4×C43—22no—
435C2×D4×C43—22no—
436C2×D4×C43—22no—
437C2×D4×C43—22no—
438C2×D4×C43—22no—
439C2×D4×C43—22no—
440C2×D4×C43—22no—
441C2×D4×C43—22no—
442C2×D4×C43—22no—
443C2×D4×C43—22no—
444C2×D4×C43—22no—
445C2×D4×C43—22no—
446C2×D4×C43—22no—
447C2×D4×C43—22no—
448C2×D4×C43—22no—
449C2×D4×C43—41no—
450C2×D4×C43—41no—
451C2×D4×C43—41no—
452C2×D4×C43—41no—
453C2×D4×C43—41no—
454C2×D4×C43—41no—
455C2×D4×C43—41no—
456C2×D4×C43—41no—
457C2×D4×C43—41no—
458C2×D4×C43—41no—
459C2×D4×C43—41no—
460C2×D4×C43—41no—
461C2×D4×C43—416no—
462C2×D4×C43C2×D414yes—
463C2×D4×C43#4114yes—
464C22×C4×C43—22no—
465C22×C4×C43—22no—
466C22×C4×C43—22no—
467C22×C4×C43—22no—
468C22×C4×C43—41no—
469C22×C4×C43—41no—
470C22×C4×C43C2411yescharacteristic
471C22×C4×C43C2411yescharacteristic
472C22×C4×C43C2411yescharacteristic
473C22×C4×C43C2411yescharacteristic
474C22×C4×C43C2411yescharacteristic
475C22×C4×C43C2411yescharacteristic
476C22×C4×C43C2411yescharacteristic
477C22×C4×C43C2411yescharacteristic
478C2×C22⋊D43—22no—
479C2×C22⋊D43—22no—
480C2×C22⋊D43—22no—
481C2×C22⋊D43—22no—
482C2×C22⋊D43—22no—
483C2×C22⋊D43—22no—
484C2×C22⋊D43—22no—
485C2×C22⋊D43—22no—
486C2×C22⋊D43—22no—
487C2×C22⋊D43—22no—
488C2×C22⋊D43—22no—
489C2×C22⋊D43—41no—
490C2×C22⋊D43—41no—
491C2×C22⋊D43—41no—
492C2×C22⋊D43—41no—
493C2×C22⋊D43—41no—
494C2×C22⋊D43—41no—
495C2×C22⋊D43—41no—
496C2×C22⋊D43—41no—
497C2×C22⋊D43—41no—
498C2×C22⋊D43—41no—
499C22×Dic43—22no—
500C22×Dic43—22no—
501C22×Dic43—22no—
502C22×Dic43—22no—
503C22×Dic43—22no—
504C22×Dic43—22no—
505C22×Dic43—22no—
506C22×Dic43—22no—
507C22×Dic43—22no—
508C22×Dic43—22no—
509C22×Dic43—22no—
510C22×Dic43—22no—
511C22×Dic43—22no—
512C22×Dic43—22no—
513C22×Dic43—22no—
514C22×Dic43—22no—
515C22×Dic43—22no—
516C22×Dic43—22no—
517C22×Dic43—22no—
518C22×Dic43—22no—
519C22×Dic43—22no—
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—
539C22×Dic43—416no—
540C22×Dic43—416no—
541C22×Dic43C2×D414yes—
542C22×Dic43C2×D414yescomplemented
543C22×Dic43C2411yescharacteristic
544C22×Dic43C2411yescharacteristic
545C22×Dic43C2411yescharacteristic
546C22×Dic43C2411yescharacteristic
547C22×Dic43C2411yescharacteristic
548C22×Dic43C2411yescharacteristic
549C22×Dic43C2411yescharacteristic
550C22×Dic43C2411yescharacteristic
551C22×Dic43C2411yescharacteristic
552C22×Dic43C2411yescharacteristic
553C22×Dic43C2411yescharacteristic
554C22×Dic43C2411yescharacteristic
555C22×Dic43C2411yescharacteristic
556C22×Dic43C2411yescharacteristic
557C22×Dic43C2411yescharacteristic
558C2×C4×D43—22no—
559C2×C4×D43—41no—
560C2×C4×D43—41no—
561C2×Dic86—22no—
562C2×Dic86—41no—
563C2×Dic86—41no—
564C22⋊C4×C43—22no—
565C22⋊C4×C43—22no—
566C22⋊C4×C43—22no—
567C22⋊C4×C43—22no—
568C22⋊C4×C43—22no—
569C22⋊C4×C43—22no—
570C22⋊C4×C43—22no—
571C22⋊C4×C43—22no—
572C22⋊C4×C43—41no—
573C22⋊C4×C43—41no—
574C22⋊C4×C43—41no—
575C22⋊C4×C43—41no—
576C22⋊C4×C43—41no—
577C22⋊C4×C43—41no—
578C22⋊Dic43—22no—
579C22⋊Dic43—22no—
580C22⋊Dic43—22no—
581C22⋊Dic43—22no—
582C22⋊Dic43—22no—
583C22⋊Dic43—22no—
584C22⋊Dic43—22no—
585C22⋊Dic43—22no—
586C22⋊Dic43—22no—
587C22⋊Dic43—22no—
588C22⋊Dic43—22no—
589C22⋊Dic43—22no—
590C22⋊Dic43—22no—
591C22⋊Dic43—22no—
592C22⋊Dic43—22no—
593C22⋊Dic43—22no—
594C22⋊Dic43—22no—
595C22⋊Dic43—22no—
596C22⋊Dic43—22no—
597C22⋊Dic43—22no—
598C22⋊Dic43—22no—
599C22⋊Dic43—41no—
600C22⋊Dic43—41no—
601C22⋊Dic43—41no—
602C22⋊Dic43—41no—
603C22⋊Dic43—41no—
604C22⋊Dic43—41no—
605C22⋊Dic43—41no—
606C22⋊Dic43—41no—
607C22⋊Dic43—41no—
608C22⋊Dic43—41no—
609C22⋊Dic43—41no—
610C22⋊Dic43—41no—
611C22⋊Dic43C2×D414yes—
612C22⋊Dic43C2×D414yescomplemented
613(C2×D43)⋊C4—22no—
614(C2×D43)⋊C4—22no—
615(C2×D43)⋊C4—22no—
616(C2×D43)⋊C4—22no—
617(C2×D43)⋊C4—41no—
618(C2×D43)⋊C4—41no—
619(C2×D43)⋊C4—41no—
620C4⋊Dic43—22no—
621C4⋊Dic43—22no—
622C4⋊Dic43—22no—
623C4⋊Dic43—22no—
624C4⋊Dic43—41no—
625C4⋊Dic43—41no—
626C4⋊Dic43C2×D414yescomplemented
627Dic43⋊C4—22no—
628Dic43⋊C4—22no—
629Dic43⋊C4—22no—
630Dic43⋊C4—22no—
631Dic43⋊C4—22no—
632Dic43⋊C4—22no—
633Dic43⋊C4—41no—
634Dic43⋊C4—41no—
635Dic43⋊C4—41no—
636Dic43⋊C4—41no—
637Dic43⋊C4—41no—
638Dic43⋊C4—41no—
639Dic43⋊C4—41no—
640C4×Dic43—22no—
641C4×Dic43—22no—
642C4×Dic43—22no—
643C4×Dic43—22no—
644C4×Dic43—41no—
645C4×Dic43—41no—
646C4×Dic43C2×D414yescomplemented
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—28no—
656C23×C43—28no—
657C23×C43—28no—
658C23×C43—21no—
659C23×C43—21no—
660C23×C43—21no—
661C23×C43—21no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43—21no—
665C23×C43—21no—
666C23×C43—21no—
667C23×C43—21no—
668C23×C43—21no—
669C23×C43—21no—
670C23×C43—21no—
671C23×C43—21no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43—21no—
675C23×C43—21no—
676C23×C43—21no—
677C23×C43—21no—
678C23×C43—21no—
679C23×C43—21no—
680C23×C43—21no—
681C23×C43—21no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43—21no—
685C23×C43—21no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C23×C43—21no—
690C23×C43—44no—
691C23×C43—44no—
692C23×C43—44no—
693C23×C43—44no—
694C23×C43—44no—
695C23×C43—44no—
696C23×C43—44no—
697C23×C43—44no—
698C23×C43—44no—
699C23×C43—44no—
700C23×C43—44no—
701C23×C43—44no—
702C23×C43—44no—
703C23×C43—44no—
704C23×C43—82no—
705C23×C43—82no—
706C23×C43—82no—
707C23×C43—82no—
708C23×C43C22×D412yes—
709C23×C43C22×D412yes—
710C23×C43C2×#4112yes—
711C23×C43C2×#4112yes—
712C23×C43C2×#4112yes—
713C23×C43C2×#4112yes—
714C23×C43C2×#4112yes—
715C23×C43H(5,𝔽2)12yes—
716C23×C43H(5,𝔽2)12yes—
717C23×C43C2511yescharacteristic
718C22×D43—21no—
719C22×D43—21no—
720C22×D43—21no—
721C22×D43—21no—
722C22×D43—21no—
723C22×D43—21no—
724C22×D43—21no—
725D4×C43—28no—
726D4×C43—28no—
727D4×C43—28no—
728D4×C43—28no—
729D4×C43—44no—
730D4×C43—44no—
731D4×C43—44no—
732D4×C43—44no—
733D4×C43—82no—
734D4×C43—82no—
735D4×C43—82no—
736D4×C43—82no—
737C2×C4×C43—28no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—44no—
761C2×C4×C43C22×D412yes—
762C2×C4×C43C2×#4112yes—
763C22⋊D43—44no—
764C22⋊D43—44no—
765C22⋊D43—44no—
766C22⋊D43—82no—
767C22⋊D43—82no—
768C22⋊D43—82no—
769C22⋊D43—82no—
770C2×Dic43—28no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—21no—
798C2×Dic43—21no—
799C2×Dic43—21no—
800C2×Dic43—21no—
801C2×Dic43—21no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—21no—
809C2×Dic43—21no—
810C2×Dic43—21no—
811C2×Dic43—44no—
812C2×Dic43—44no—
813C2×Dic43—44no—
814C2×Dic43—44no—
815C2×Dic43—44no—
816C2×Dic43—44no—
817C2×Dic43—44no—
818C2×Dic43—44no—
819C2×Dic43—44no—
820C2×Dic43—44no—
821C2×Dic43—44no—
822C2×Dic43—82no—
823C2×Dic43—82no—
824C2×Dic43C22×D412yes—
825C2×Dic43C22×D412yes—
826C2×Dic43C22×D412yes—
827C2×Dic43C22×D412yes—
828C2×Dic43H(5,𝔽2)12yes—
829C4×D43—82no—
830Dic86—82no—
831#34990—431nomaximal, Sylow
832C22×C43—22no—
833C22×C43—22no—
834C22×C43—22no—
835C22×C43—22no—
836C22×C43—22no—
837C22×C43—22no—
838C22×C43—22no—
839C22×C43—22no—
840C22×C43—22no—
841C22×C43—22no—
842C22×C43—22no—
843C22×C43—22no—
844C22×C43—22no—
845C22×C43—22no—
846C22×C43—22no—
847C22×C43—22no—
848C22×C43—22no—
849C22×C43—22no—
850C22×C43—22no—
851C22×C43—22no—
852C22×C43—22no—
853C22×C43—416no—
854C22×C43—416no—
855C22×C43—41no—
856C22×C43—41no—
857C22×C43—41no—
858C22×C43—41no—
859C22×C43—41no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43—41no—
869C22×C43—41no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43—41no—
875C22×C43—41no—
876C22×C43—41no—
877C22×C43—41no—
878C22×C43—41no—
879C22×C43—41no—
880C22×C43—41no—
881C22×C43—88no—
882C22×C43#52514yes—
883C22×C43#53814yescomplemented
884C22×C43C23×D411yescharacteristic
885C22×C43C22×#4111yescharacteristic
886C22×C43C22×#4111yescharacteristic
887C22×C43C2×H(5,𝔽2)11yescharacteristic
888C22×C43C2×H(5,𝔽2)11yescharacteristic
889C22×C43C2×H(5,𝔽2)11yescharacteristic
890C22×C43#58511yescharacteristic
891C2×D43—41no—
892C2×D43—41no—
893C2×D43—41no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—41no—
897C2×D43—41no—
898C4×C43—22no—
899C4×C43—22no—
900C4×C43—41no—
901C4×C43—41no—
902C4×C43—41no—
903C4×C43—41no—
904C4×C43—41no—
905C4×C43—41no—
906Dic43—22no—
907Dic43—22no—
908Dic43—22no—
909Dic43—22no—
910Dic43—22no—
911Dic43—41no—
912Dic43—41no—
913Dic43—41no—
914Dic43—41no—
915Dic43—41no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43—41no—
921C2×#538—431no—
922C22×C4×D4—431no—
923#2852—431no—
924#2850—431no—
925#2849—431no—
926#2847—431no—
927#2636—431no—
928#2635—431no—
929#2631—431no—
930#2630—431no—
931#2481—431no—
932#2472—431no—
933#2467—431no—
934#2459—431no—
935#2456—431no—
936#2456—431no—
937#2450—431no—
938#2444—431no—
939#2443—431no—
940#2437—431no—
941#2424—431no—
942#2424—431no—
943#2418—431no—
944#2410—431no—
945#2410—431no—
946#2403D4311yescharacteristic, complemented
947#2325—431no—
948#2321—431no—
949#2318—431no—
950C4×#120—431no—
951C2×#386—431no—
952C2×C43—24no—
953C2×C43—24no—
954C2×C43—42no—
955C2×C43—42no—
956C2×C43—42no—
957C2×C43—81no—
958C2×C43—81no—
959C2×C43C2×#52511yescharacteristic
960C2×C43C2×#53811yescharacteristic
961C2×C43#345911yescharacteristic
962C2×C43#348411yescharacteristic
963C2×C43#348811yescharacteristic
964C2×C43#351311yescharacteristic
965C2×C43#351911yescharacteristic
966D43—81no—
967C23×D4C2×D4311yescharacteristic
968C23×D4C2×D4311yescharacteristic
969C24×C4—431no—
970C24×C4—431no—
971#538—868no—
972C2×#126—431no—
973C2×#126—431no—
974C2×#124—431no—
975C2×#124—431no—
976C2×#123—431no—
977C2×#123—431no—
978C2×#123—431no—
979C2×C22⋊Q8—431no—
980C2×C22⋊Q8—431no—
981C2×#121—431no—
982C2×#121—431no—
983C2×#121—431no—
984C2×#121—431no—
985C2×#121—431no—
986C2×#121—431no—
987C2×#121—431no—
988C2×#120—431no—
989C2×#120—431no—
990C2×#120—431no—
991C2×#120C2×D4311yescharacteristic
992C2×#120C2×D4311yescharacteristic
993C2×#120C2×D4311yescharacteristic
994C2×#120C2×D4311yescharacteristic
995C2×C4×D4—431no—
996C2×C4×D4—431no—
997C2×C4×D4—431no—
998C2×C4×D4—431no—
999C2×C4×D4—431no—
1000C2×C4×D4—431no—
1001C2×C4×D4—431no—
1002C2×C4×D4—431no—
1003C2×C4×D4—431no—
1004C2×C4×D4—431no—
1005C2×C4×D4—431no—
1006C2×C4×D4—868no—
1007C22×C4⋊C4—431no—
1008C22×C22⋊C4—431no—
1009C22×C22⋊C4—431no—
1010C22×C22⋊C4—431no—
1011C22×C22⋊C4—431no—
1012C22×C22⋊C4—431no—
1013C22×C42—431no—
1014#400—431no—
1015#400—431no—
1016#399—431no—
1017#399—431no—
1018#398—431no—
1019#397—431no—
1020#397—431no—
1021#397—431no—
1022#396—431no—
1023#396—431no—
1024#396—431no—
1025#396—431no—
1026#394—431no—
1027#394—431no—
1028#394—431no—
1029#394—431no—
1030#394—431no—
1031#394—431no—
1032#394—431no—
1033#394—431no—
1034#394—431no—
1035#393—431no—
1036#393—431no—
1037#392—431no—
1038#392—431no—
1039#392—431no—
1040#392—431no—
1041#392—431no—
1042#392C2×D4311yescharacteristic
1043#392C2×D4311yescharacteristic
1044#392C2×D4311yescharacteristic
1045#392C2×D4311yescharacteristic
1046#391—431no—
1047#390—431no—
1048#390—431no—
1049#390—431no—
1050#388—431no—
1051#388—431no—
1052#388—431no—
1053#388—431no—
1054#388—431no—
1055#388—431no—
1056#388—431no—
1057#388—431no—
1058#388—431no—
1059#388—431no—
1060#388—431no—
1061#388—431no—
1062#387—431no—
1063#387—431no—
1064#387—431no—
1065#387—431no—
1066#387—431no—
1067#387—431no—
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386—431no—
1072#386—431no—
1073#386—431no—
1074#386—431no—
1075#386—431no—
1076#386—431no—
1077#386—431no—
1078#386—431no—
1079#386—431no—
1080#386—431no—
1081#386—431no—
1082#386—431no—
1083#386—431no—
1084#386—431no—
1085#386—431no—
1086#386—431no—
1087#386—431no—
1088#386—431no—
1089#386—431no—
1090#386—431no—
1091#386—431no—
1092#386C2×D4311yescharacteristic
1093#386C2×D4311yescharacteristic
1094#386C2×D4311yescharacteristic
1095#386C2×D4311yescharacteristic
1096#385—431no—
1097#385—431no—
1098#385—431no—
1099#385—431no—
1100#385—431no—
1101#385—431no—
1102#385—431no—
1103#385—431no—
1104#385—431no—
1105#385—431no—
1106#385—431no—
1107#385—431no—
1108#383—431no—
1109#382—431no—
1110#381—431no—
1111#381—431no—
1112#380—431no—
1113#380—431no—
1114#380—431no—
1115#380—431no—
1116#379—431no—
1117#379—431no—
1118#379C2×D4311yescharacteristic
1119C4×C22⋊C4—431no—
1120C4×C22⋊C4—431no—
1121C4×C22⋊C4—431no—
1122C2×#95—431no—
1123C2×#95—431no—
1124C43#3499011yescharacteristic, complemented, Sylow
1125C25C22×D4311yescharacteristic
1126C25C22×D4311yescharacteristic
1127C25C22×D4311yescharacteristic
1128C22×Q8—431no—
1129C22×D4—24no—
1130C22×D4—24no—
1131C22×D4—24no—
1132C22×D4—24no—
1133C22×D4—42no—
1134C22×D4—42no—
1135C22×D4—431no—
1136C22×D4—431no—
1137C22×D4—431no—
1138C22×D4—431no—
1139C22×D4—431no—
1140C22×D4—431no—
1141C22×D4—431no—
1142C22×D4C22×D4311yescharacteristic
1143C22×D4C22×D4311yescharacteristic
1144C22×D4C22×D4311yescharacteristic
1145C22×D4C22×D4311yescharacteristic
1146C22×D4C22×D4311yescharacteristic
1147C22×D4C22×D4311yescharacteristic
1148C22×D4C22×D4311yescharacteristic
1149C22×D4C22×D4311yescharacteristic
1150C22×D4C22×D4311yescharacteristic
1151C22×D4C22×D4311yescharacteristic
1152C22×D4C22×D4311yescharacteristic
1153C22×D4C22×D4311yescharacteristic
1154C23×C4—431no—
1155C23×C4—431no—
1156C23×C4—431no—
1157C23×C4—431no—
1158C23×C4—431no—
1159C23×C4—431no—
1160C23×C4—431no—
1161C23×C4—431no—
1162C23×C4—431no—
1163C23×C4—431no—
1164C23×C4—431no—
1165C23×C4—431no—
1166C23×C4—431no—
1167C23×C4—431no—
1168C23×C4—431no—
1169C23×C4—864no—
1170C23×C4—864no—
1171C23×C4—1722no—
1172C23×C4—1722no—
1173C23×C4—1722no—
1174C23×C4—1722no—
1175C23×C4C22×D4311yescharacteristic
1176C23×C4C22×D4311yescharacteristic
1177#126—864no—
1178#126—864no—
1179#124—864no—
1180#124—864no—
1181#123—864no—
1182#123—864no—
1183#123—1722no—
1184C22⋊Q8—864no—
1185C22⋊Q8—1722no—
1186#121—864no—
1187#121—864no—
1188#121—864no—
1189#121—864no—
1190#121—1722no—
1191#121—1722no—
1192#121—1722no—
1193#120—24no—
1194#120—24no—
1195#120—42no—
1196#120—42no—
1197#120—864no—
1198#120—864no—
1199#120—1722no—
1200C4×D4—438no—
1201C4×D4—864no—
1202C4×D4—864no—
1203C4×D4—864no—
1204C4×D4—864no—
1205C4×D4—864no—
1206C4×D4—864no—
1207C4×D4—864no—
1208C4×D4—864no—
1209C4×D4—1722no—
1210C4×D4—1722no—
1211C2×C4⋊C4—431no—
1212C2×C4⋊C4—431no—
1213C2×C4⋊C4—431no—
1214C2×C4⋊C4—431no—
1215C2×C4⋊C4—431no—
1216C2×C4⋊C4—431no—
1217C2×C4⋊C4—431no—
1218C2×C4⋊C4—431no—
1219C2×C4⋊C4—431no—
1220C2×C4⋊C4—431no—
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—431no—
1225C2×C4⋊C4—431no—
1226C2×C4⋊C4—431no—
1227C2×C4⋊C4—431no—
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—864no—
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—431no—
1250C2×C22⋊C4—431no—
1251C2×C22⋊C4—431no—
1252C2×C22⋊C4—431no—
1253C2×C22⋊C4—431no—
1254C2×C22⋊C4—431no—
1255C2×C22⋊C4—431no—
1256C2×C22⋊C4—431no—
1257C2×C22⋊C4—431no—
1258C2×C22⋊C4—431no—
1259C2×C22⋊C4—431no—
1260C2×C22⋊C4—431no—
1261C2×C22⋊C4—431no—
1262C2×C22⋊C4—431no—
1263C2×C22⋊C4—431no—
1264C2×C22⋊C4—431no—
1265C2×C22⋊C4—431no—
1266C2×C22⋊C4—431no—
1267C2×C22⋊C4—431no—
1268C2×C22⋊C4—431no—
1269C2×C22⋊C4—431no—
1270C2×C22⋊C4—431no—
1271C2×C22⋊C4—431no—
1272C2×C22⋊C4—431no—
1273C2×C22⋊C4—431no—
1274C2×C22⋊C4—864no—
1275C2×C22⋊C4—864no—
1276C2×C22⋊C4—864no—
1277C2×C22⋊C4—1722no—
1278C2×C22⋊C4—1722no—
1279C2×C22⋊C4C22×D4311yescharacteristic
1280C2×C22⋊C4C22×D4311yescharacteristic
1281C2×C22⋊C4C22×D4311yescharacteristic
1282C2×C22⋊C4C22×D4311yescharacteristic
1283C2×C22⋊C4C22×D4311yescharacteristic
1284C2×C22⋊C4C22×D4311yescharacteristic
1285C2×C22⋊C4C22×D4311yescharacteristic
1286C2×C22⋊C4C22×D4311yescharacteristic
1287C2×C22⋊C4C22×D4311yescharacteristic
1288C2×C22⋊C4C22×D4311yescharacteristic
1289C2×C22⋊C4C22×D4311yescharacteristic
1290C2×C22⋊C4C22×D4311yescharacteristic
1291C2×C22⋊C4C22×D4311yescharacteristic
1292C2×C22⋊C4C22×D4311yescharacteristic
1293C2×C42—431no—
1294C2×C42—431no—
1295C2×C42—431no—
1296C2×C42—431no—
1297C2×C42—431no—
1298C2×C42—431no—
1299C2×C42—431no—
1300C2×C42—864no—
1301#95—431no—
1302#95—431no—
1303#95—431no—
1304#95—431no—
1305#95—431no—
1306#95—431no—
1307#95—431no—
1308#95—431no—
1309#95—431no—
1310#95—431no—
1311#95—431no—
1312#95—431no—
1313#95—431no—
1314#95—431no—
1315#95—431no—
1316#95—431no—
1317#95—431no—
1318#95—431no—
1319#95—431no—
1320#95—431no—
1321#95—431no—
1322#95—431no—
1323#95—431no—
1324#95—431no—
1325#95—431no—
1326#95—431no—
1327#95—431no—
1328#95—431no—
1329#95C22×D4311yescharacteristic
1330#95C22×D4311yescharacteristic
1331#95C22×D4311yescharacteristic
1332#95C22×D4311yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—22no—
1343C24—22no—
1344C24—22no—
1345C24—41no—
1346C24—41no—
1347C24—41no—
1348C24—41no—
1349C24—41no—
1350C24—41no—
1351C24—41no—
1352C24—41no—
1353C24—431no—
1354C24#1062190014yes—
1355C24C23×D4311yescharacteristic
1356C24C23×D4311yescharacteristic
1357C24C23×D4311yescharacteristic
1358C24C23×D4311yescharacteristic
1359C24C23×D4311yescharacteristic
1360C24C23×D4311yescharacteristic
1361C24C23×D4311yescharacteristic
1362C2×Q8—862no—
1363C2×Q8—1721no—
1364C2×Q8—1721no—
1365C2×D4—232no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—416no—
1401C2×D4—862no—
1402C2×D4—862no—
1403C2×D4—862no—
1404C2×D4—862no—
1405C2×D4—862no—
1406C2×D4—862no—
1407C2×D4—862no—
1408C2×D4—862no—
1409C2×D4—862no—
1410C2×D4—862no—
1411C2×D4—862no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4—1721no—
1415C2×D4—1721no—
1416C2×D4—1721no—
1417C2×D4—1721no—
1418C2×D4—1721no—
1419C2×D4—1721no—
1420C2×D4—1721no—
1421C2×D4—1721no—
1422C2×D4D4×D4314yes—
1423C2×D4#1062190014yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—431no—
1431C22×C4—431no—
1432C22×C4—431no—
1433C22×C4—431no—
1434C22×C4—431no—
1435C22×C4—434no—
1436C22×C4—434no—
1437C22×C4—431no—
1438C22×C4—431no—
1439C22×C4—431no—
1440C22×C4—431no—
1441C22×C4—431no—
1442C22×C4—431no—
1443C22×C4—431no—
1444C22×C4—431no—
1445C22×C4—431no—
1446C22×C4—431no—
1447C22×C4—862no—
1448C22×C4—862no—
1449C22×C4—862no—
1450C22×C4—862no—
1451C22×C4—862no—
1452C22×C4—862no—
1453C22×C4—862no—
1454C22×C4—862no—
1455C22×C4—862no—
1456C22×C4—862no—
1457C22×C4—862no—
1458C22×C4—862no—
1459C22×C4—862no—
1460C22×C4—862no—
1461C22×C4—862no—
1462C22×C4—862no—
1463C22×C4—862no—
1464C22×C4—862no—
1465C22×C4—862no—
1466C22×C4—862no—
1467C22×C4—862no—
1468C22×C4—862no—
1469C22×C4—1721no—
1470C22×C4—1721no—
1471C22×C4—1721no—
1472C22×C4—1721no—
1473C22×C4—1721no—
1474C22×C4—1721no—
1475C22×C4—1721no—
1476C22×C4—1721no—
1477C22×C4—1721no—
1478C22×C4—1721no—
1479C22×C4—1721no—
1480C22×C4—1721no—
1481C22×C4—1721no—
1482C22×C4—1721no—
1483C22×C4—1721no—
1484C22×C4—1721no—
1485C22×C4—1721no—
1486C22×C4—1721no—
1487C22×C4—1721no—
1488C22×C4—1721no—
1489C22×C4—1721no—
1490C22×C4—17216no—
1491C22×C4—17216no—
1492C22×C4C23×D4311yescharacteristic
1493C22×C4C23×D4311yescharacteristic
1494C22×C4C23×D4311yescharacteristic
1495C22×C4C23×D4311yescharacteristic
1496C22×C4C23×D4311yescharacteristic
1497C22×C4C23×D4311yescharacteristic
1498C22×C4C23×D4311yescharacteristic
1499C22×C4C23×D4311yescharacteristic
1500C4⋊C4—434no—
1501C4⋊C4—862no—
1502C4⋊C4—862no—
1503C4⋊C4—862no—
1504C4⋊C4—862no—
1505C4⋊C4—862no—
1506C4⋊C4—862no—
1507C4⋊C4—862no—
1508C4⋊C4—862no—
1509C4⋊C4—862no—
1510C4⋊C4—862no—
1511C4⋊C4—1721no—
1512C4⋊C4—1721no—
1513C4⋊C4—1721no—
1514C4⋊C4—1721no—
1515C4⋊C4—1721no—
1516C4⋊C4—1721no—
1517C4⋊C4—1721no—
1518C4⋊C4—1721no—
1519C4⋊C4—1721no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—434no—
1535C22⋊C4—434no—
1536C22⋊C4—862no—
1537C22⋊C4—862no—
1538C22⋊C4—862no—
1539C22⋊C4—862no—
1540C22⋊C4—862no—
1541C22⋊C4—862no—
1542C22⋊C4—862no—
1543C22⋊C4—862no—
1544C22⋊C4—862no—
1545C22⋊C4—862no—
1546C22⋊C4—862no—
1547C22⋊C4—862no—
1548C22⋊C4—862no—
1549C22⋊C4—862no—
1550C22⋊C4—862no—
1551C22⋊C4—862no—
1552C22⋊C4—862no—
1553C22⋊C4—862no—
1554C22⋊C4—862no—
1555C22⋊C4—862no—
1556C22⋊C4—862no—
1557C22⋊C4—862no—
1558C22⋊C4—862no—
1559C22⋊C4—862no—
1560C22⋊C4—862no—
1561C22⋊C4—1721no—
1562C22⋊C4—1721no—
1563C22⋊C4—1721no—
1564C22⋊C4—1721no—
1565C22⋊C4—1721no—
1566C22⋊C4—1721no—
1567C22⋊C4—1721no—
1568C22⋊C4—1721no—
1569C22⋊C4—1721no—
1570C22⋊C4—1721no—
1571C22⋊C4—1721no—
1572C22⋊C4—1721no—
1573C22⋊C4—1721no—
1574C22⋊C4—1721no—
1575C22⋊C4—1721no—
1576C42—434no—
1577C42—862no—
1578C42—862no—
1579C42—862no—
1580C42—862no—
1581C42—1721no—
1582C42—1721no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—28no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—44no—
1627C23—44no—
1628C23—44no—
1629C23—44no—
1630C23—44no—
1631C23—44no—
1632C23—44no—
1633C23—44no—
1634C23—44no—
1635C23—44no—
1636C23—44no—
1637C23—44no—
1638C23—44no—
1639C23—44no—
1640C23—82no—
1641C23—82no—
1642C23—82no—
1643C23—82no—
1644C23—861no—
1645C23—861no—
1646C23—861no—
1647C23—861no—
1648C23—861no—
1649C23—861no—
1650C23—861no—
1651C23C2×D4×D4312yes—
1652C23C2×D4×D4312yes—
1653C23C2×#1062190012yes—
1654C23C2×#1062190012yes—
1655C23C2×#1062190012yes—
1656C23C2×#1062190012yes—
1657C23C2×#1062190012yes—
1658C23#1306337012yes—
1659C23#1306337012yes—
1660C23C24×D4311yescharacteristic
1661Q8—3442no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—28no—
1666D4—44no—
1667D4—44no—
1668D4—44no—
1669D4—44no—
1670D4—82no—
1671D4—82no—
1672D4—82no—
1673D4—82no—
1674D4—3442no—
1675D4—3442no—
1676D4—3442no—
1677D4—3442no—
1678D4—1724no—
1679D4—1724no—
1680D4—1724no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—44no—
1705C2×C4—432no—
1706C2×C4—432no—
1707C2×C4—432no—
1708C2×C4—432no—
1709C2×C4—432no—
1710C2×C4—868no—
1711C2×C4—861no—
1712C2×C4—861no—
1713C2×C4—861no—
1714C2×C4—861no—
1715C2×C4—861no—
1716C2×C4—861no—
1717C2×C4—861no—
1718C2×C4—861no—
1719C2×C4—861no—
1720C2×C4—861no—
1721C2×C4—861no—
1722C2×C4—861no—
1723C2×C4—861no—
1724C2×C4—861no—
1725C2×C4—861no—
1726C2×C4—861no—
1727C2×C4—861no—
1728C2×C4—861no—
1729C2×C4—861no—
1730C2×C4—861no—
1731C2×C4—861no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—861no—
1741C2×C4—861no—
1742C2×C4—861no—
1743C2×C4—861no—
1744C2×C4—861no—
1745C2×C4—861no—
1746C2×C4—861no—
1747C2×C4—861no—
1748C2×C4—861no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—3442no—
1752C2×C4—3442no—
1753C2×C4—3442no—
1754C2×C4—1724no—
1755C2×C4—1724no—
1756C2×C4—1724no—
1757C2×C4—1724no—
1758C2×C4—1724no—
1759C2×C4—1724no—
1760C2×C4—1724no—
1761C2×C4—1724no—
1762C2×C4—1724no—
1763C2×C4—1724no—
1764C2×C4—1724no—
1765C2×C4C2×D4×D4312yes—
1766C2×C4C2×#1062190012yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—88no—
1817C22—1721no—
1818C22—1721no—
1819C22—1721no—
1820C22—1721no—
1821C22—1721no—
1822C22—1721no—
1823C22—1721no—
1824C22#1458340514yes—
1825C22#1458348414yescomplemented
1826C22C22×D4×D4311yescharacteristic
1827C22C22×#1062190011yescharacteristic
1828C22C22×#1062190011yescharacteristic
1829C22H(5,𝔽2)×D4311yescharacteristic
1830C22C2×#1306337011yescharacteristic
1831C22C2×#1306337011yescharacteristic
1832C22#1458373411yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—862no—
1842C4—862no—
1843C4—862no—
1844C4—862no—
1845C4—862no—
1846C4—1721no—
1847C4—1721no—
1848C4—1721no—
1849C4—1721no—
1850C4—1721no—
1851C4—1721no—
1852C4—1721no—
1853C4—1721no—
1854C4—1721no—
1855C4—1721no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—3441no—
1864C2C2×#1458340511yescharacteristic
1865C2C2×#1458348411yescharacteristic
1866C2#1914800111yescharacteristic
1867C2#1914822311yescharacteristic
1868C2#1914825511yescharacteristic
1869C2#1914852011yescharacteristic
1870C2#1914861411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2403C2
hypercenter#2403D43
hypocenterC43#34990
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2403

Complements

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

NH ≅ G/Ntype
1. C2×#14583484C2semidirect
2. C22×D4×Dic43C2semidirect
3. #19142908C2semidirect
4. #19142892C2semidirect
5. #19142885C2semidirect
6. #19142875C2semidirect
7. #19140489C2semidirect
8. #19140478C2semidirect
9. #19140446C2semidirect
10. #19140431C2semidirect
11. #19138855C2semidirect
12. #19138720C2semidirect
13. #19138641C2semidirect
14. #19138527C2semidirect
15. #19138488C2semidirect
16. #19138482C2semidirect
17. #19138425C2semidirect
18. #19138343C2semidirect
19. #19138336C2semidirect
20. #19138261C2semidirect
21. #19138135C2semidirect
22. #19138127C2semidirect
23. #19138053C2semidirect
24. #19137969C2semidirect
25. #19137969C2semidirect
26. #19137296C2semidirect
27. #19137256C2semidirect
28. #19137221C2semidirect
29. #19137094C2semidirect
30. C2×#14582779C2semidirect
31. C43×#2403C2semidirect
33. C24×Dic43C22semidirect
35. C2×#13063318C22semidirect
36. C2×#13063318C22semidirect
37. C2×#13063312C22semidirect
38. C2×#13063311C22semidirect
39. C2×#13063307C22semidirect
40. C2×#13063306C22semidirect
41. C2×#13063306C22semidirect
42. C2×#13063302C22semidirect
43. C2×#13063302C22semidirect
48. C2×#13063297C22semidirect
49. C2×#13063297C22semidirect
50. C2×#13063296C22semidirect
52. C2×#13063294C22semidirect
53. C2×#13063294C22semidirect
59. C2×D4×Dic43C22semidirect
60. C2×D4×Dic43C22semidirect
61. C2×D4×Dic43C22semidirect
62. C2×D4×Dic43C22semidirect
63. C2×(C22⋊D43)⋊C4C22semidirect
64. C2×(C22⋊D43)⋊C4C22semidirect
65. C2×(C22⋊D43)⋊C4C22semidirect
66. C22×C4⋊Dic43C22semidirect
69. C22×C22⋊Dic43C22semidirect
70. C22×C22⋊Dic43C22semidirect
71. C22×C22⋊Dic43C22semidirect
72. C22×C4×Dic43C22semidirect
73. #14582841C22semidirect
74. #14582839C22semidirect
75. #14582835C22semidirect
76. #14582835C22semidirect
77. #14582833C22semidirect
78. #14582826C22semidirect
79. #14582824C22semidirect
80. #14582824C22semidirect
81. #14582822C22semidirect
82. #14582822C22semidirect
83. #14582822C22semidirect
84. #14582822C22semidirect
85. #14582815C22semidirect
86. #14582815C22semidirect
87. #14582813C22semidirect
88. #14582813C22semidirect
89. #14582813C22semidirect
90. #14582813C22semidirect
91. #14582813C22semidirect
92. #14582813C22semidirect
93. #14582813C22semidirect
94. #14582811C22semidirect
95. #14582811C22semidirect
96. #14582807C22semidirect
97. #14582807C22semidirect
98. #14582807C22semidirect
99. #14582807C22semidirect
100. #14582807C22semidirect
101. #14582803C22semidirect
102. #14582802C22semidirect
103. #14582802C22semidirect
104. #14582799C22semidirect
105. #14582793C22semidirect
106. #14582793C22semidirect
107. #14582793C22semidirect
108. #14582792C22semidirect
109. #14582792C22semidirect
110. #14582792C22semidirect
111. #14582792C22semidirect
112. #14582791C22semidirect
113. #14582788C22semidirect
114. #14582787C22semidirect
115. #14582787C22semidirect
116. #14582787C22semidirect
117. #14582786C22semidirect
118. #14582786C22semidirect
119. #14582784C22semidirect
120. #14582784C22semidirect
121. #14582782C22semidirect
122. #14582781C22semidirect
131. #14582779C22semidirect
132. #14582779C22semidirect
133. #14582779C22semidirect
134. #14582779C22semidirect
135. #14582779C22semidirect
136. #14582779C22semidirect
137. #14582779C22semidirect
138. #14582779C22semidirect
139. #14582778C22semidirect
140. #14582778C22semidirect
141. #14582776C22semidirect
142. #14582776C22semidirect
143. #14582776C22semidirect
144. #14582776C22semidirect
145. #14582776C22semidirect
146. #14582775C22semidirect
147. #14582774C22semidirect
148. #14582774C22semidirect
149. #14582773C22semidirect
150. #14582772C22semidirect
151. #14582772C22semidirect
152. #14582771C22semidirect
153. #14582771C22semidirect
154. #14582771C22semidirect
155. #14582771C22semidirect
156. #14582771C22semidirect
157. #14582771C22semidirect
158. #14582771C22semidirect
159. #14582766C22semidirect
160. #14582763C22semidirect
161. #14582760C22semidirect
162. #14582760C22semidirect
163. #14582757C22semidirect
164. #14582757C22semidirect
165. #14582757C22semidirect
166. #14582757C22semidirect
167. #14582755C22semidirect
168. #14582755C22semidirect
169. C22⋊C4×Dic43C22semidirect
170. C22⋊C4×Dic43C22semidirect
171. C22⋊C4×Dic43C22semidirect
172. C2×C43⋊#95C22semidirect
173. C2×C43⋊#95C22semidirect
244. D4×Dic43D4semidirect
542. C22×Dic43C2×D4semidirect
612. C22⋊Dic43C2×D4semidirect
626. C4⋊Dic43C2×D4semidirect
646. C4×Dic43C2×D4semidirect
883. C22×C43#538semidirect
946. #2403D43semidirect
1124. C43#34990semidirect
1825. C22#14583484semidirect

Maximal subgroups

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

subgroupindex
C2×#145834842
C22×D4×Dic432
#191429082
#191428922
#191428852
#191428752
#191404892
#191404782
#191404462
#191404312
#191388552
#191387202
#191386412
#191385272
#191384882
#191384822
#191384252
#191383432
#191383362
#191382612
#191381352
#191381272
#191380532
#191379692
#191372962
#191372562
#191372212
#191370942
C2×#145827792
C43×#24032
#3499043