Finite Group Databasebeta

← #25303668

Subgroups — #25303668

Order 11008.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583485C211yesmaximal, characteristic, complemented
2C2×#14583410C211yesmaximal, characteristic, complemented
3#19142877C211yesmaximal, characteristic, complemented
4#19141272C211yesmaximal, characteristic, complemented
5#19141227C211yesmaximal, characteristic, complemented
6#19141193C211yesmaximal, characteristic, complemented
7#19141182C211yesmaximal, characteristic, complemented
8#19141019C211yesmaximal, characteristic, complemented
9#19140961C211yesmaximal, characteristic, complemented
10#19140948C211yesmaximal, characteristic, complemented
11#19140947C211yesmaximal, characteristic, complemented
12#19140929C211yesmaximal, characteristic, complemented
13#19140924C211yesmaximal, characteristic, complemented
14#19140921C211yesmaximal, characteristic, complemented
15#19140914C211yesmaximal, characteristic, complemented
16#19140849C211yesmaximal, characteristic, complemented
17#19140821C211yesmaximal, characteristic, complemented
18#19140813C211yesmaximal, characteristic, complemented
19#19140809C211yesmaximal, characteristic, complemented
20#19140482C211yesmaximal, characteristic, complemented
21#19140434C211yesmaximal, characteristic, complemented
22#19140278C211yesmaximal, characteristic, complemented
23#19140221C211yesmaximal, characteristic, complemented
24#19140196C211yesmaximal, characteristic, complemented
25#19140181C211yesmaximal, characteristic, complemented
26#19139564C211yesmaximal, characteristic, complemented
27#19139483C211yesmaximal, characteristic, complemented
28#19137939C211yesmaximal, characteristic, complemented
29#19137912C211yesmaximal, characteristic, complemented
30#19137235C211yesmaximal, characteristic, complemented
31C43×#2849C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33#14583485—28no—
34C2×#13063321C2211yescharacteristic
35C2×#13063320C2211yescharacteristic, complemented
36C2×#13063318C2211yescharacteristic, complemented
37C2×#13063311C2211yescharacteristic
38C2×#13063311C2211yescharacteristic, complemented
39C2×#13063311C2211yescharacteristic, complemented
40#14583410—28no—
41C2×#13063310C2211yescharacteristic, complemented
42C2×#13063308C2211yescharacteristic
43C2×#13063308C2211yescharacteristic, complemented
44C2×#13063307C2211yescharacteristic
45C2×#13063305C2211yescharacteristic, complemented
46C2×#13063304C2211yescharacteristic, complemented
47C2×#13063304C2211yescharacteristic, complemented
48C2×#13063303C2211yescharacteristic, complemented
49C2×#13063299C2211yescharacteristic
50C2×#13063299C2211yescharacteristic
51C2×#13063299C2211yescharacteristic
52C2×#13063299C2211yescharacteristic
53C2×#13063299C2211yescharacteristic
54C2×#13063298C2211yescharacteristic
55C2×#13063298C2211yescharacteristic, complemented
56C2×#13063296C2211yescharacteristic
57C2×#13063295C2211yescharacteristic, complemented
58C2×#13063295C2211yescharacteristic, complemented
59C2×#13063294C2211yescharacteristic
60C2×#13063294C2211yescharacteristic
61C2×#13063294C2211yescharacteristic, complemented
62C2×#13063294C2211yescharacteristic, complemented
63C2×#13063293C2211yescharacteristic
64C2×#13063293C2211yescharacteristic
65C2×#13063293C2211yescharacteristic
66C2×#13063287C2211yescharacteristic, complemented
67C2×C4×C22⋊D43C2211yescharacteristic
68C2×C4×C22⋊D43C2211yescharacteristic
69C2×C4×C22⋊D43C2211yescharacteristic, complemented
70C2×C4×C22⋊D43C2211yescharacteristic, complemented
71C2×#13063284C2211yescharacteristic, complemented
72C2×C22⋊C4×D43C2211yescharacteristic, complemented
73#14582839C2211yescharacteristic, complemented
74#14582836C2211yescharacteristic, complemented
75#14582833C2211yescharacteristic, complemented
76#14582832C2211yescharacteristic, complemented
77#14582832C2211yescharacteristic, complemented
78#14582828C2211yescharacteristic, complemented
79#14582827C2211yescharacteristic, complemented
80#14582825C2211yescharacteristic, complemented
81#14582823C2211yescharacteristic, complemented
82#14582822C2211yescharacteristic, complemented
83#14582822C2211yescharacteristic, complemented
84#14582822C2211yescharacteristic, complemented
85#14582821C2211yescharacteristic, complemented
86#14582821C2211yescharacteristic, complemented
87#14582820C2211yescharacteristic, complemented
88#14582817C2211yescharacteristic, complemented
89#14582817C2211yescharacteristic, complemented
90#14582817C2211yescharacteristic, complemented
91#14582816C2211yescharacteristic, complemented
92#14582815C2211yescharacteristic
93#14582815C2211yescharacteristic
94#14582815C2211yescharacteristic, complemented
95#14582815C2211yescharacteristic, complemented
96#14582815C2211yescharacteristic, complemented
97#14582815C2211yescharacteristic, complemented
98#14582814C2211yescharacteristic
99#14582814C2211yescharacteristic
100#14582814C2211yescharacteristic
101#14582814C2211yescharacteristic, complemented
102#14582814C2211yescharacteristic, complemented
103#14582814C2211yescharacteristic, complemented
104#14582813C2211yescharacteristic
105#14582813C2211yescharacteristic
106#14582813C2211yescharacteristic
107#14582812C2211yescharacteristic, complemented
108#14582811C2211yescharacteristic, complemented
109#14582811C2211yescharacteristic, complemented
110#14582809C2211yescharacteristic, complemented
111#14582809C2211yescharacteristic, complemented
112#14582808C2211yescharacteristic
113#14582808C2211yescharacteristic
114#14582808C2211yescharacteristic
115#14582808C2211yescharacteristic
116#14582808C2211yescharacteristic
117#14582808C2211yescharacteristic, complemented
118#14582807C2211yescharacteristic
119#14582807C2211yescharacteristic
120#14582807C2211yescharacteristic
121#14582803C2211yescharacteristic, complemented
122#14582803C2211yescharacteristic, complemented
123#14582802C2211yescharacteristic
124#14582800C2211yescharacteristic, complemented
125#14582799C2211yescharacteristic
126#14582799C2211yescharacteristic
127#14582799C2211yescharacteristic
128#14582799C2211yescharacteristic
129#14582799C2211yescharacteristic, complemented
130#14582799C2211yescharacteristic, complemented
131#14582799C2211yescharacteristic, complemented
132#14582798C2211yescharacteristic, complemented
133#14582796C2211yescharacteristic, complemented
134#14582796C2211yescharacteristic, complemented
135#14582793C2211yescharacteristic, complemented
136#14582793C2211yescharacteristic, complemented
137#14582793C2211yescharacteristic, complemented
138#14582792C2211yescharacteristic, complemented
139#14582792C2211yescharacteristic, complemented
140#14582791C2211yescharacteristic, complemented
141#14582791C2211yescharacteristic, complemented
142#14582791C2211yescharacteristic, complemented
143#14582791C2211yescharacteristic, complemented
144#14582791C2211yescharacteristic, complemented
145#14582791C2211yescharacteristic, complemented
146#14582788C2211yescharacteristic, complemented
147#14582787C2211yescharacteristic, complemented
148#14582787C2211yescharacteristic, complemented
149#14582782C2211yescharacteristic, complemented
150#14582780C2211yescharacteristic, complemented
151#14582778C2211yescharacteristic
152#14582778C2211yescharacteristic
153#14582778C2211yescharacteristic
154#14582778C2211yescharacteristic, complemented
155#14582778C2211yescharacteristic, complemented
156#14582778C2211yescharacteristic, complemented
157#14582777C2211yescharacteristic, complemented
158#14582777C2211yescharacteristic, complemented
159#14582777C2211yescharacteristic, complemented
160#14582775C2211yescharacteristic
161#14582775C2211yescharacteristic, complemented
162#14582775C2211yescharacteristic, complemented
163#14582770C2211yescharacteristic, complemented
164#14582770C2211yescharacteristic, complemented
165#14582761C2211yescharacteristic, complemented
166#14582761C2211yescharacteristic, complemented
167#14582759C2211yescharacteristic, complemented
168#14582759C2211yescharacteristic, complemented
169#14582759C2211yescharacteristic, complemented
170#14582758C2211yescharacteristic, complemented
171#14582754C2211yescharacteristic, complemented
172#14582750C2211yescharacteristic, complemented
173#14582744C2211yescharacteristic, complemented
174C24×C4×C43C2211yescharacteristic, complemented
175C2×#123×C43C2211yescharacteristic
176C2×#123×C43C2211yescharacteristic
177C2×#120×C43C2211yescharacteristic
178C43×#386C2211yescharacteristic
179C43×#386C2211yescharacteristic
180C43×#386C2211yescharacteristic
181C43×#386C2211yescharacteristic
182C43×#385C2211yescharacteristic, complemented
183C43×#385C2211yescharacteristic, complemented
184C43×#385C2211yescharacteristic, complemented
185C43×#385C2211yescharacteristic, complemented
186C43×#381C2211yescharacteristic, complemented
187C43×#381C2211yescharacteristic, complemented
188C43×#379C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C2×#10621898—24no—
191C2×#10621898—42no—
192C2×#10621898—42no—
193C22×Dic86C2311yescharacteristic
194C22×Dic86C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C22×C22⋊D43C2311yescharacteristic
209C22×C22⋊D43C2311yescharacteristic
210C22×C22⋊D43C2311yescharacteristic
211C22×C22⋊D43C2311yescharacteristic
212C22×C22⋊D43C2311yescharacteristic
213C22×C22⋊D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218#13063321—42no—
219#13063320—24no—
220#13063318—24no—
221#13063311—24no—
222#13063311—24no—
223#13063311—42no—
224#13063310—24no—
225#13063308—24no—
226#13063308—24no—
227#13063307—42no—
228#13063305—24no—
229#13063304—24no—
230#13063304—24no—
231#13063303—42no—
232#13063299—24no—
233#13063299—24no—
234#13063299—24no—
235#13063299—42no—
236#13063299—42no—
237#13063298—24no—
238#13063298—42no—
239#13063296—24no—
240#13063295—24no—
241#13063295—42no—
242#13063294—24no—
243#13063294—24no—
244#13063294—42no—
245#13063294—42no—
246#13063293—24no—
247#13063293—42no—
248#13063293—42no—
249#13063287—24no—
250C4×C22⋊D43—24no—
251C4×C22⋊D43—24no—
252C4×C22⋊D43—24no—
253C4×C22⋊D43D418yescomplemented
254#13063284—24no—
255C2×C4⋊Dic43C2311yescharacteristic
256C2×C4⋊Dic43C2311yescharacteristic
257C2×C4⋊Dic43C2311yescharacteristic
258C2×C4⋊Dic43C2311yescharacteristic
259C2×C4⋊Dic43C2311yescharacteristic
260C2×C4⋊Dic43C2311yescharacteristic
261C2×C4⋊Dic43C2311yescharacteristic
262C2×C4⋊Dic43C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
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×(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
322C22⋊C4×D43—24no—
323C2×C4×Dic43C2311yescharacteristic
324C2×C4×Dic43C2311yescharacteristic
325C2×C4×Dic43C2311yescharacteristic
326C2×C4×Dic43C2311yescharacteristic
327C2×C4×Dic43C2311yescharacteristic
328C2×C4×Dic43C2311yescharacteristic
329C2×C4×Dic43C2311yescharacteristic
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
350C25×C43C2311yescharacteristic
351C22×D4×C43C2311yescharacteristic
352C22×D4×C43C2311yescharacteristic
353C22×D4×C43C2311yescharacteristic
354C23×C4×C43—24no—
355C23×C4×C43—42no—
356C23×C4×C43—42no—
357C23×C4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359C23×C4×C43C2311yescharacteristic
360C23×C4×C43C2311yescharacteristic
361C23×C4×C43C2311yescharacteristic
362C23×C4×C43C2311yescharacteristic
363#123×C43—24no—
364#123×C43—42no—
365#120×C43—42no—
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×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×C43—22no—
392C24×C43—22no—
393C24×C43—22no—
394C24×C43—41no—
395C24×C43—41no—
396C24×C43—41no—
397C24×C43—41no—
398C24×C43C2411yescharacteristic
399C24×C43C2411yescharacteristic
400C24×C43C2411yescharacteristic
401C24×C43C2411yescharacteristic
402C23×D43—22no—
403C23×D43—41no—
404C23×D43—41no—
405C23×D43—41no—
406C23×D43—41no—
407C23×D43—41no—
408C23×D43—41no—
409C23×D43C2411yescharacteristic
410C23×D43C2411yescharacteristic
411C23×D43C2411yescharacteristic
412C23×D43C2411yescharacteristic
413C2×D4×C43—22no—
414C2×D4×C43—22no—
415C2×D4×C43—22no—
416C2×D4×C43—41no—
417C2×D4×C43—41no—
418C2×D4×C43—41no—
419C2×D4×C43—41no—
420C2×D4×C43—41no—
421C2×D4×C43—41no—
422C22×C4×C43—22no—
423C22×C4×C43—22no—
424C22×C4×C43—22no—
425C22×C4×C43—22no—
426C22×C4×C43—22no—
427C22×C4×C43—22no—
428C22×C4×C43—22no—
429C22×C4×C43—22no—
430C22×C4×C43—22no—
431C22×C4×C43—22no—
432C22×C4×C43—41no—
433C22×C4×C43—41no—
434C22×C4×C43—41no—
435C22×C4×C43—41no—
436C22×C4×C43—41no—
437C22×C4×C43—41no—
438C22×C4×C43—41no—
439C22×C4×C43—416no—
440C22×C4×C43C2×D414yes—
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C2×C22⋊D43—22no—
453C2×C22⋊D43—22no—
454C2×C22⋊D43—22no—
455C2×C22⋊D43—22no—
456C2×C22⋊D43—22no—
457C2×C22⋊D43—22no—
458C2×C22⋊D43—22no—
459C2×C22⋊D43—22no—
460C2×C22⋊D43—22no—
461C2×C22⋊D43—22no—
462C2×C22⋊D43—22no—
463C2×C22⋊D43—22no—
464C2×C22⋊D43—22no—
465C2×C22⋊D43—22no—
466C2×C22⋊D43—22no—
467C2×C22⋊D43—22no—
468C2×C22⋊D43—41no—
469C2×C22⋊D43—41no—
470C2×C22⋊D43—41no—
471C2×C22⋊D43—41no—
472C2×C22⋊D43—41no—
473C2×C22⋊D43—41no—
474C2×C22⋊D43—41no—
475C2×C22⋊D43—41no—
476C2×C22⋊D43—41no—
477C2×C22⋊D43—41no—
478C2×C22⋊D43—41no—
479C2×C22⋊D43—41no—
480C2×C22⋊D43—41no—
481C2×C22⋊D43—41no—
482C2×C22⋊D43—41no—
483C2×C22⋊D43—41no—
484C2×C22⋊D43—41no—
485C2×C22⋊D43—41no—
486C2×C22⋊D43—41no—
487C2×C22⋊D43—41no—
488C2×C22⋊D43—41no—
489C2×C22⋊D43—41no—
490C2×C22⋊D43—41no—
491C2×C22⋊D43—41no—
492C2×C22⋊D43—41no—
493C2×C22⋊D43C2×D414yes—
494C22×Dic43C2411yescharacteristic
495C22×Dic43C2411yescharacteristic
496C22×Dic43C2411yescharacteristic
497C22×Dic43C2411yescharacteristic
498C22×Dic43C2411yescharacteristic
499C22×Dic43C2411yescharacteristic
500C22×Dic43C2411yescharacteristic
501C22×Dic43C2411yescharacteristic
502C22×Dic43C2411yescharacteristic
503C22×Dic43C2411yescharacteristic
504C22×Dic43C2411yescharacteristic
505C22×Dic43C2411yescharacteristic
506#10621898—416no—
507C2×D172—22no—
508C2×D172—22no—
509C2×D172—22no—
510C2×D172—22no—
511C2×D172—41no—
512C2×D172—41no—
513C2×D172—41no—
514C2×D172—41no—
515C2×D172—41no—
516C2×D172—41no—
517C2×D172—41no—
518C2×D172—41no—
519C2×D172—41no—
520C2×D172—41no—
521C2×D172—41no—
522C2×C4×D43—22no—
523C2×C4×D43—22no—
524C2×C4×D43—22no—
525C2×C4×D43—41no—
526C2×C4×D43—41no—
527C2×C4×D43—41no—
528C2×C4×D43—41no—
529C2×C4×D43—41no—
530C2×C4×D43—41no—
531C2×C4×D43—41no—
532C2×C4×D43—41no—
533C2×C4×D43C2×D414yes—
534C2×Dic86—22no—
535C2×Dic86—22no—
536C2×Dic86—22no—
537C2×Dic86—41no—
538C2×Dic86—41no—
539C2×Dic86—41no—
540C4⋊C4×C43—22no—
541C4⋊C4×C43—22no—
542C4⋊C4×C43—22no—
543C4⋊C4×C43—41no—
544C22⋊C4×C43—22no—
545C22⋊C4×C43—22no—
546C22⋊C4×C43—22no—
547C22⋊C4×C43—22no—
548C22⋊C4×C43—22no—
549C22⋊C4×C43—22no—
550C22⋊C4×C43—41no—
551C22⋊C4×C43—41no—
552C22⋊C4×C43—41no—
553C22⋊C4×C43—41no—
554C22⋊C4×C43—41no—
555C22⋊C4×C43—41no—
556C22⋊C4×C43—41no—
557C22⋊Dic43—22no—
558C22⋊Dic43—22no—
559C22⋊Dic43—22no—
560C22⋊Dic43—22no—
561C22⋊Dic43—22no—
562C22⋊Dic43—22no—
563C22⋊Dic43—22no—
564C22⋊Dic43—22no—
565C22⋊Dic43—22no—
566C22⋊Dic43—41no—
567C22⋊Dic43—41no—
568C22⋊Dic43—41no—
569C22⋊Dic43—41no—
570C22⋊Dic43—41no—
571C22⋊Dic43—41no—
572C22⋊Dic43—41no—
573C22⋊Dic43C2×D414yes—
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)⋊C4C2×D414yes—
604C4⋊Dic43—22no—
605C4⋊Dic43—22no—
606C4⋊Dic43—22no—
607C4⋊Dic43—22no—
608C4⋊Dic43—41no—
609C4⋊Dic43—41no—
610C4⋊Dic43—41no—
611C4⋊Dic43—41no—
612Dic43⋊C4—22no—
613Dic43⋊C4—22no—
614Dic43⋊C4—22no—
615Dic43⋊C4—22no—
616Dic43⋊C4—41no—
617Dic43⋊C4—41no—
618Dic43⋊C4—41no—
619Dic43⋊C4—41no—
620Dic43⋊C4—41no—
621Dic43⋊C4—41no—
622Dic43⋊C4—41no—
623Dic43⋊C4C2×D414yes—
624C4×Dic43—22no—
625C4×Dic43—22no—
626C4×Dic43—41no—
627C4×Dic43—41no—
628C4×Dic43—41no—
629C4×Dic43—41no—
630C4×Dic43C2×D414yes—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43—21no—
638C23×C43—21no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
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—21no—
656C23×C43—44no—
657C23×C43—44no—
658C23×C43—44no—
659C23×C43—44no—
660C23×C43—44no—
661C23×C43—44no—
662C23×C43—44no—
663C23×C43C22×D412yes—
664C23×C43H(5,𝔽2)12yes—
665C23×C43H(5,𝔽2)12yes—
666C23×C43C2511yescharacteristic
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—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—21no—
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—44no—
695C22×D43—82no—
696C22×D43—82no—
697C22×D43—82no—
698C22×D43—82no—
699C22×D43—82no—
700C22×D43—82no—
701C22×D43C22×D412yes—
702D4×C43—82no—
703D4×C43—82no—
704D4×C43—82no—
705C2×C4×C43—28no—
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×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—44no—
737C2×C4×C43—44no—
738C2×C4×C43—44no—
739C2×C4×C43—44no—
740C2×C4×C43—44no—
741C2×C4×C43C22×D412yes—
742C2×C4×C43C22×D412yes—
743C2×C4×C43H(5,𝔽2)12yes—
744C22⋊D43—44no—
745C22⋊D43—44no—
746C22⋊D43—44no—
747C22⋊D43—44no—
748C22⋊D43—44no—
749C22⋊D43—44no—
750C22⋊D43—82no—
751C22⋊D43—82no—
752C22⋊D43—82no—
753C22⋊D43—82no—
754C22⋊D43—82no—
755C22⋊D43—82no—
756C22⋊D43—82no—
757C22⋊D43—82no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
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×Dic43C22×D412yes—
792C2×Dic43C22×D412yes—
793C2×Dic43C22×D412yes—
794D172—44no—
795D172—44no—
796D172—82no—
797D172—82no—
798D172—82no—
799C4×D43—44no—
800C4×D43—44no—
801C4×D43—82no—
802C4×D43—82no—
803Dic86—44no—
804Dic86—82no—
805#36724—431nomaximal, Sylow
806C22×C43—22no—
807C22×C43—22no—
808C22×C43—22no—
809C22×C43—22no—
810C22×C43—22no—
811C22×C43—22no—
812C22×C43—22no—
813C22×C43—22no—
814C22×C43—22no—
815C22×C43—416no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43C23×D411yescharacteristic
836C22×C43C2×H(5,𝔽2)11yescharacteristic
837C22×C43C2×H(5,𝔽2)11yescharacteristic
838C22×C43C2×H(5,𝔽2)11yescharacteristic
839C22×C43#58511yescharacteristic
840C22×C43#58511yescharacteristic
841C22×C43#58511yescharacteristic
842C2×D43—22no—
843C2×D43—22no—
844C2×D43—22no—
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—41no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—41no—
866C2×D43—41no—
867C2×D43—41no—
868C2×D43—41no—
869C2×D43—41no—
870C2×D43—88no—
871C4×C43—22no—
872C4×C43—22no—
873C4×C43—22no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880C4×C43—41no—
881C4×C43—41no—
882Dic43—22no—
883Dic43—22no—
884Dic43—22no—
885Dic43—41no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891Dic43—41no—
892Dic43—41no—
893Dic43—41no—
894C2×#538—431no—
895C2×#525—431no—
896#2849D4311yescharacteristic, complemented
897#2847—431no—
898#2705—431no—
899#2702—431no—
900#2700—431no—
901#2699—431no—
902#2687—431no—
903#2682—431no—
904#2681—431no—
905#2681—431no—
906#2679—431no—
907#2678—431no—
908#2678—431no—
909#2678—431no—
910#2672—431no—
911#2670—431no—
912#2669—431no—
913#2669—431no—
914#2635—431no—
915#2630—431no—
916#2610—431no—
917#2603—431no—
918#2601—431no—
919#2600—431no—
920#2544—431no—
921#2534—431no—
922#2407—431no—
923#2404—431no—
924#2319—431no—
925C2×C43—42no—
926C2×C43—42no—
927C2×C43—42no—
928C2×C43—81no—
929C2×C43#344911yescharacteristic
930C2×C43#348411yescharacteristic
931C2×C43#348811yescharacteristic
932C2×C43#353311yescharacteristic
933C2×C43#353411yescharacteristic
934C2×C43#354011yescharacteristic
935C2×C43#354211yescharacteristic
936D43—42no—
937D43—81no—
938D43—81no—
939D43—81no—
940C22×#41—431no—
941C24×C4C2×D4311yescharacteristic, complemented
942#538—868no—
943C2×#127—431no—
944C2×#126—431no—
945C2×#126—431no—
946C2×#124—431no—
947C2×#124—431no—
948C2×#124—431no—
949#525—868no—
950C2×#123—431no—
951C2×#123—431no—
952C2×#123—431no—
953C2×#123—431no—
954C2×#123C2×D4311yescharacteristic
955C2×#123C2×D4311yescharacteristic
956C2×C22⋊Q8—431no—
957C2×C22⋊Q8—431no—
958C2×C22⋊Q8—431no—
959C2×C22⋊Q8—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×#120—431no—
974C2×#120—431no—
975C2×#120—431no—
976C2×#120—431no—
977C2×#120C2×D4311yescharacteristic
978C2×C4×D4—431no—
979C2×C4×D4—431no—
980C2×C4×D4—431no—
981C2×C4×D4—431no—
982C2×C4×D4—431no—
983C2×#117—431no—
984C22×C22⋊C4—431no—
985#400—431no—
986#399—431no—
987#398—431no—
988#398—431no—
989#398—431no—
990#397—431no—
991#397—431no—
992#397—431no—
993#396—431no—
994#396—431no—
995#396—431no—
996#396—431no—
997#396—431no—
998#396—431no—
999#395—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#394—431no—
1013#394—431no—
1014#394—431no—
1015#394—431no—
1016#394—431no—
1017#394—431no—
1018#394—431no—
1019#393—431no—
1020#393—431no—
1021#393—431no—
1022#392—431no—
1023#392—431no—
1024#392—431no—
1025#392—431no—
1026#392—431no—
1027#392—431no—
1028#392—431no—
1029#392—431no—
1030#392—431no—
1031#392—431no—
1032#392—431no—
1033#391—431no—
1034#391—431no—
1035#390—431no—
1036#390—431no—
1037#390—431no—
1038#390—431no—
1039#390—431no—
1040#390—431no—
1041#390—431no—
1042#390—431no—
1043#390—431no—
1044#389—431no—
1045#389—431no—
1046#389—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#388—431no—
1057#388—431no—
1058#388—431no—
1059#388—431no—
1060#388—431no—
1061#387—431no—
1062#387—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#386—431no—
1074#386—431no—
1075#386C2×D4311yescharacteristic
1076#386C2×D4311yescharacteristic
1077#386C2×D4311yescharacteristic
1078#386C2×D4311yescharacteristic
1079#385—431no—
1080#385—431no—
1081#385C2×D4311yescharacteristic, complemented
1082#385C2×D4311yescharacteristic, complemented
1083#385C2×D4311yescharacteristic, complemented
1084#385C2×D4311yescharacteristic, complemented
1085#381—431no—
1086#381—431no—
1087#381C2×D4311yescharacteristic, complemented
1088#381C2×D4311yescharacteristic, complemented
1089#380—431no—
1090#380—431no—
1091#380—431no—
1092#380—431no—
1093#379—431no—
1094#379C2×D4311yescharacteristic, complemented
1095C4×C4⋊C4—431no—
1096#376—431no—
1097C43#3672411yescharacteristic, complemented, Sylow
1098C25—431no—
1099C25C22×D4311yescharacteristic
1100C2×#41—864no—
1101C2×#41—1722no—
1102C2×#41—1722no—
1103C22×Q8—431no—
1104C22×Q8—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—
1116C22×D4—431no—
1117C22×D4—431no—
1118C22×D4—431no—
1119C22×D4—431no—
1120C22×D4—431no—
1121C22×D4—431no—
1122C22×D4—431no—
1123C22×D4—431no—
1124C22×D4C22×D4311yescharacteristic
1125C22×D4C22×D4311yescharacteristic
1126C22×D4C22×D4311yescharacteristic
1127C23×C4—24no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4—431no—
1133C23×C4—431no—
1134C23×C4C22×D4311yescharacteristic
1135C23×C4C22×D4311yescharacteristic
1136C23×C4C22×D4311yescharacteristic
1137C23×C4C22×D4311yescharacteristic
1138C23×C4C22×D4311yescharacteristic
1139C23×C4C22×D4311yescharacteristic
1140#127—1722no—
1141#126—864no—
1142#126—864no—
1143#124—864no—
1144#124—864no—
1145#124—1722no—
1146#123—24no—
1147#123—42no—
1148#123—864no—
1149#123—864no—
1150#123—864no—
1151#123—1722no—
1152C22⋊Q8—864no—
1153C22⋊Q8—864no—
1154C22⋊Q8—864no—
1155C22⋊Q8—1722no—
1156#121—864no—
1157#121—864no—
1158#121—864no—
1159#121—864no—
1160#121—864no—
1161#121—1722no—
1162#121—1722no—
1163#121—1722no—
1164#120—42no—
1165#120—864no—
1166#120—864no—
1167#120—864no—
1168#120—864no—
1169#120—1722no—
1170#120—1722no—
1171#120—1722no—
1172#120—1722no—
1173#120—1722no—
1174C4×D4—438no—
1175C4×D4—864no—
1176C4×D4—864no—
1177C4×D4—864no—
1178C4×D4—864no—
1179#117—864no—
1180C2×C4⋊C4—431no—
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—431no—
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4—431no—
1197C2×C4⋊C4—431no—
1198C2×C4⋊C4—431no—
1199C2×C4⋊C4—431no—
1200C2×C4⋊C4C22×D4311yescharacteristic
1201C2×C4⋊C4C22×D4311yescharacteristic
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C4⋊C4C22×D4311yescharacteristic
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—431no—
1250C2×C22⋊C4—431no—
1251C2×C22⋊C4—864no—
1252C2×C22⋊C4C22×D4311yescharacteristic
1253C2×C22⋊C4C22×D4311yescharacteristic
1254C2×C22⋊C4C22×D4311yescharacteristic
1255C2×C22⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4C22×D4311yescharacteristic
1259C2×C22⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4C22×D4311yescharacteristic
1261C2×C22⋊C4C22×D4311yescharacteristic
1262C2×C22⋊C4C22×D4311yescharacteristic
1263C2×C22⋊C4C22×D4311yescharacteristic
1264C2×C22⋊C4C22×D4311yescharacteristic
1265C2×C42—431no—
1266C2×C42—431no—
1267C2×C42—431no—
1268C2×C42—431no—
1269C2×C42—431no—
1270C2×C42—431no—
1271C2×C42—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#95—431no—
1282#95—431no—
1283#95—431no—
1284#95—431no—
1285#95—431no—
1286#95—431no—
1287#95—431no—
1288#95—431no—
1289#95—431no—
1290#95—431no—
1291#95—431no—
1292#95C22×D4311yescharacteristic
1293#95C22×D4311yescharacteristic
1294#95C22×D4311yescharacteristic
1295#95C22×D4311yescharacteristic
1296#95C22×D4311yescharacteristic
1297#95C22×D4311yescharacteristic
1298#95C22×D4311yescharacteristic
1299#95C22×D4311yescharacteristic
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—431no—
1308C24—431no—
1309C24—431no—
1310C24—431no—
1311C24—862no—
1312C24—1721no—
1313C24—1721no—
1314C24—1721no—
1315C24—1721no—
1316C24—1721no—
1317C24—1721no—
1318C24C23×D4311yescharacteristic
1319C24C23×D4311yescharacteristic
1320C24C23×D4311yescharacteristic
1321C24C23×D4311yescharacteristic
1322#41—17216no—
1323C2×Q8—862no—
1324C2×Q8—862no—
1325C2×Q8—862no—
1326C2×Q8—1721no—
1327C2×Q8—1721no—
1328C2×Q8—1721no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—434no—
1339C2×D4—862no—
1340C2×D4—862no—
1341C2×D4—862no—
1342C2×D4—862no—
1343C2×D4—862no—
1344C2×D4—862no—
1345C2×D4—862no—
1346C2×D4—862no—
1347C2×D4—862no—
1348C2×D4—862no—
1349C2×D4—862no—
1350C2×D4—862no—
1351C2×D4—862no—
1352C2×D4—862no—
1353C2×D4—862no—
1354C2×D4—862no—
1355C2×D4—862no—
1356C2×D4—862no—
1357C2×D4—862no—
1358C2×D4—862no—
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—
1384C2×D4—1721no—
1385C2×D4—1721no—
1386C2×D4—1721no—
1387C2×D4—1721no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4—1721no—
1391C2×D4—1721no—
1392C2×D4—1721no—
1393C2×D4—1721no—
1394C2×D4—1721no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—416no—
1413C22×C4—431no—
1414C22×C4—431no—
1415C22×C4—431no—
1416C22×C4—434no—
1417C22×C4—431no—
1418C22×C4—431no—
1419C22×C4—431no—
1420C22×C4—431no—
1421C22×C4—431no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—862no—
1427C22×C4—862no—
1428C22×C4—862no—
1429C22×C4—1721no—
1430C22×C4—1721no—
1431C22×C4—1721no—
1432C22×C4—1721no—
1433C22×C4—1721no—
1434C22×C4—1721no—
1435C22×C4—1721no—
1436C22×C4—1721no—
1437C22×C4D4×D4314yes—
1438C22×C4C23×D4311yescharacteristic
1439C22×C4C23×D4311yescharacteristic
1440C22×C4C23×D4311yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445C22×C4C23×D4311yescharacteristic
1446C22×C4C23×D4311yescharacteristic
1447C22×C4C23×D4311yescharacteristic
1448C22×C4C23×D4311yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—41no—
1453C4⋊C4—434no—
1454C4⋊C4—862no—
1455C4⋊C4—862no—
1456C4⋊C4—862no—
1457C4⋊C4—862no—
1458C4⋊C4—862no—
1459C4⋊C4—862no—
1460C4⋊C4—862no—
1461C4⋊C4—862no—
1462C4⋊C4—1721no—
1463C4⋊C4—1721no—
1464C4⋊C4—1721no—
1465C4⋊C4—1721no—
1466C4⋊C4—1721no—
1467C4⋊C4—1721no—
1468C4⋊C4—1721no—
1469C4⋊C4—1721no—
1470C4⋊C4—1721no—
1471C4⋊C4—1721no—
1472C4⋊C4—1721no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—434no—
1487C22⋊C4—434no—
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—862no—
1498C22⋊C4—862no—
1499C22⋊C4—862no—
1500C22⋊C4—862no—
1501C22⋊C4—862no—
1502C22⋊C4—862no—
1503C22⋊C4—862no—
1504C22⋊C4—862no—
1505C22⋊C4—862no—
1506C22⋊C4—862no—
1507C22⋊C4—862no—
1508C22⋊C4—862no—
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—
1520C22⋊C4—1721no—
1521C22⋊C4—1721no—
1522C22⋊C4—1721no—
1523C22⋊C4—1721no—
1524C22⋊C4—1721no—
1525C22⋊C4—1721no—
1526C22⋊C4—1721no—
1527C22⋊C4—1721no—
1528C22⋊C4—1721no—
1529C22⋊C4—1721no—
1530C22⋊C4—1721no—
1531C22⋊C4—1721no—
1532C22⋊C4—1721no—
1533C42—434no—
1534C42—862no—
1535C42—862no—
1536C42—1721no—
1537C42—1721no—
1538C42—1721no—
1539C42—1721no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—44no—
1566C23—44no—
1567C23—44no—
1568C23—44no—
1569C23—44no—
1570C23—44no—
1571C23—44no—
1572C23—432no—
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—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—861no—
1590C23—861no—
1591C23—861no—
1592C23—861no—
1593C23—861no—
1594C23—861no—
1595C23—861no—
1596C23—861no—
1597C23—861no—
1598C23—861no—
1599C23—861no—
1600C23—3442no—
1601C23—3442no—
1602C23—3442no—
1603C23—3442no—
1604C23—3442no—
1605C23—3442no—
1606C23—1724no—
1607C23C2×D4×D4312yes—
1608C23#1306337012yes—
1609C23#1306337112yes—
1610C23C24×D4311yescharacteristic
1611Q8—3442no—
1612Q8—1724no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—3442no—
1617D4—3442no—
1618D4—3442no—
1619D4—3442no—
1620D4—3442no—
1621D4—3442no—
1622D4—3442no—
1623D4—3442no—
1624D4—3442no—
1625D4—3442no—
1626D4—3442no—
1627D4—1724no—
1628D4—1724no—
1629D4—1724no—
1630D4—1724no—
1631D4—1724no—
1632D4—1724no—
1633D4—1724no—
1634D4—1724no—
1635C2×C4—28no—
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—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—432no—
1672C2×C4—432no—
1673C2×C4—432no—
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—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—861no—
1695C2×C4—861no—
1696C2×C4—861no—
1697C2×C4—861no—
1698C2×C4—861no—
1699C2×C4—861no—
1700C2×C4—861no—
1701C2×C4—861no—
1702C2×C4—861no—
1703C2×C4—861no—
1704C2×C4—861no—
1705C2×C4—861no—
1706C2×C4—861no—
1707C2×C4—3442no—
1708C2×C4—3442no—
1709C2×C4—1724no—
1710C2×C4—1724no—
1711C2×C4C2×D4×D4312yes—
1712C2×C4C2×D4×D4312yes—
1713C2×C4#1306337012yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—416no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—862no—
1744C22—862no—
1745C22—862no—
1746C22—3448no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—1721no—
1753C22—1721no—
1754C22—1721no—
1755C22—1721no—
1756C22—1721no—
1757C22—1721no—
1758C22—1721no—
1759C22—1721no—
1760C22—1721no—
1761C22—1721no—
1762C22—1721no—
1763C22—1721no—
1764C22—1721no—
1765C22—1721no—
1766C22—1721no—
1767C22—1721no—
1768C22—1721no—
1769C22—1721no—
1770C22—1721no—
1771C22—1721no—
1772C22C22×D4×D4311yescharacteristic
1773C22C2×#1306337011yescharacteristic
1774C22C2×#1306337011yescharacteristic
1775C22C2×#1306337111yescharacteristic
1776C22#1458373511yescharacteristic
1777C22#1458373511yescharacteristic
1778C22#1458373511yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—862no—
1791C4—862no—
1792C4—862no—
1793C4—1721no—
1794C4—1721no—
1795C4—1721no—
1796C4—1721no—
1797C4—1721no—
1798C4—1721no—
1799C4—1721no—
1800C4—1721no—
1801C4—1721no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—81no—
1806C2—3441no—
1807C2—3441no—
1808C2—3441no—
1809C2—1722no—
1810C2#1914792511yescharacteristic
1811C2#1914822411yescharacteristic
1812C2#1914825611yescharacteristic
1813C2#1914876611yescharacteristic
1814C2#1914878911yescharacteristic
1815C2#1914886311yescharacteristic
1816C2#1914891111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2849C2
hypercenter#2849D43
hypocenterC43#36724
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. C2×#14583485C2semidirect
2. C2×#14583410C2semidirect
3. #19142877C2semidirect
4. #19141272C2semidirect
5. #19141227C2semidirect
6. #19141193C2semidirect
7. #19141182C2semidirect
8. #19141019C2semidirect
9. #19140961C2semidirect
10. #19140948C2semidirect
11. #19140947C2semidirect
12. #19140929C2semidirect
13. #19140924C2semidirect
14. #19140921C2semidirect
15. #19140914C2semidirect
16. #19140849C2semidirect
17. #19140821C2semidirect
18. #19140813C2semidirect
19. #19140809C2semidirect
20. #19140482C2semidirect
21. #19140434C2semidirect
22. #19140278C2semidirect
23. #19140221C2semidirect
24. #19140196C2semidirect
25. #19140181C2semidirect
26. #19139564C2semidirect
27. #19139483C2semidirect
28. #19137939C2semidirect
29. #19137912C2semidirect
30. #19137235C2semidirect
31. C43×#2849C2semidirect
35. C2×#13063320C22semidirect
36. C2×#13063318C22semidirect
38. C2×#13063311C22semidirect
39. C2×#13063311C22semidirect
41. C2×#13063310C22semidirect
43. C2×#13063308C22semidirect
45. C2×#13063305C22semidirect
46. C2×#13063304C22semidirect
47. C2×#13063304C22semidirect
48. C2×#13063303C22semidirect
55. C2×#13063298C22semidirect
57. C2×#13063295C22semidirect
58. C2×#13063295C22semidirect
61. C2×#13063294C22semidirect
62. C2×#13063294C22semidirect
66. C2×#13063287C22semidirect
69. C2×C4×C22⋊D43C22semidirect
70. C2×C4×C22⋊D43C22semidirect
71. C2×#13063284C22semidirect
72. C2×C22⋊C4×D43C22semidirect
73. #14582839C22semidirect
74. #14582836C22semidirect
75. #14582833C22semidirect
76. #14582832C22semidirect
77. #14582832C22semidirect
78. #14582828C22semidirect
79. #14582827C22semidirect
80. #14582825C22semidirect
81. #14582823C22semidirect
82. #14582822C22semidirect
83. #14582822C22semidirect
84. #14582822C22semidirect
85. #14582821C22semidirect
86. #14582821C22semidirect
87. #14582820C22semidirect
88. #14582817C22semidirect
89. #14582817C22semidirect
90. #14582817C22semidirect
91. #14582816C22semidirect
94. #14582815C22semidirect
95. #14582815C22semidirect
96. #14582815C22semidirect
97. #14582815C22semidirect
101. #14582814C22semidirect
102. #14582814C22semidirect
103. #14582814C22semidirect
107. #14582812C22semidirect
108. #14582811C22semidirect
109. #14582811C22semidirect
110. #14582809C22semidirect
111. #14582809C22semidirect
117. #14582808C22semidirect
121. #14582803C22semidirect
122. #14582803C22semidirect
124. #14582800C22semidirect
129. #14582799C22semidirect
130. #14582799C22semidirect
131. #14582799C22semidirect
132. #14582798C22semidirect
133. #14582796C22semidirect
134. #14582796C22semidirect
135. #14582793C22semidirect
136. #14582793C22semidirect
137. #14582793C22semidirect
138. #14582792C22semidirect
139. #14582792C22semidirect
140. #14582791C22semidirect
141. #14582791C22semidirect
142. #14582791C22semidirect
143. #14582791C22semidirect
144. #14582791C22semidirect
145. #14582791C22semidirect
146. #14582788C22semidirect
147. #14582787C22semidirect
148. #14582787C22semidirect
149. #14582782C22semidirect
150. #14582780C22semidirect
154. #14582778C22semidirect
155. #14582778C22semidirect
156. #14582778C22semidirect
157. #14582777C22semidirect
158. #14582777C22semidirect
159. #14582777C22semidirect
161. #14582775C22semidirect
162. #14582775C22semidirect
163. #14582770C22semidirect
164. #14582770C22semidirect
165. #14582761C22semidirect
166. #14582761C22semidirect
167. #14582759C22semidirect
168. #14582759C22semidirect
169. #14582759C22semidirect
170. #14582758C22semidirect
171. #14582754C22semidirect
172. #14582750C22semidirect
173. #14582744C22semidirect
174. C24×C4×C43C22semidirect
182. C43×#385C22semidirect
183. C43×#385C22semidirect
184. C43×#385C22semidirect
185. C43×#385C22semidirect
186. C43×#381C22semidirect
187. C43×#381C22semidirect
188. C43×#379C22semidirect
253. C4×C22⋊D43D4semidirect
896. #2849D43semidirect
941. C24×C4C2×D43semidirect
1081. #385C2×D43semidirect
1082. #385C2×D43semidirect
1083. #385C2×D43semidirect
1084. #385C2×D43semidirect
1087. #381C2×D43semidirect
1088. #381C2×D43semidirect
1094. #379C2×D43semidirect
1097. C43#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#145834852
C2×#145834102
#191428772
#191412722
#191412272
#191411932
#191411822
#191410192
#191409612
#191409482
#191409472
#191409292
#191409242
#191409212
#191409142
#191408492
#191408212
#191408132
#191408092
#191404822
#191404342
#191402782
#191402212
#191401962
#191401812
#191395642
#191394832
#191379392
#191379122
#191372352
C43×#28492
#3672443