Finite Group Databasebeta

← #25305196

Subgroups — #25305196

Order 11008.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142914C211yesmaximal, characteristic, complemented
2#19142894C211yesmaximal, characteristic, complemented
3#19142267C211yesmaximal, characteristic, complemented
4#19142091C211yesmaximal, characteristic, complemented
5#19141982C211yesmaximal, characteristic, complemented
6#19141922C211yesmaximal, characteristic, complemented
7#19141820C211yesmaximal, characteristic, complemented
8#19141790C211yesmaximal, characteristic, complemented
9#19141785C211yesmaximal, characteristic, complemented
10#19141783C211yesmaximal, characteristic, complemented
11#19141598C211yesmaximal, characteristic, complemented
12#19141173C211yesmaximal, characteristic, complemented
13#19141075C211yesmaximal, characteristic, complemented
14#19141027C211yesmaximal, characteristic, complemented
15#19141027C211yesmaximal, characteristic, complemented
16#19140997C211yesmaximal, characteristic, complemented
17#19140947C211yesmaximal, characteristic, complemented
18#19140668C211yesmaximal, characteristic, complemented
19#19140629C211yesmaximal, characteristic, complemented
20#19140179C211yesmaximal, characteristic, complemented
21#19139930C211yesmaximal, characteristic, complemented
22#19139720C211yesmaximal, characteristic, complemented
23#19139550C211yesmaximal, characteristic, complemented
24#19139386C211yesmaximal, characteristic, complemented
25#19139360C211yesmaximal, characteristic, complemented
26#19138266C211yesmaximal, characteristic, complemented
27#19138009C211yesmaximal, characteristic, complemented
28#19137356C211yesmaximal, characteristic, complemented
29#19137230C211yesmaximal, characteristic, complemented
30#19137031C211yesmaximal, characteristic, complemented
31C43×#2671C211yesmaximal, characteristic, complemented
32C2×#13063318C2211yescharacteristic
33C2×#13063312C2211yescharacteristic
34C2×#13063304C2211yescharacteristic
35C2×#13063303C2211yescharacteristic
36C2×#13063296C2211yescharacteristic
37C2×#13063296C2211yescharacteristic
38C2×#13063296C2211yescharacteristic
39C2×C4×C22⋊D43C2211yescharacteristic
40C2×(C22⋊D43)⋊C4C2211yescharacteristic
41C2×#13063283C2211yescharacteristic
42C22×C4×Dic43C2211yescharacteristic
43C43⋊#401C2211yescharacteristic
44#14582841C2211yescharacteristic
45#14582841C2211yescharacteristic
46#14582841C2211yescharacteristic
47#14582838C2211yescharacteristic
48#14582838C2211yescharacteristic
49#14582838C2211yescharacteristic
50#14582837C2211yescharacteristic
51#14582835C2211yescharacteristic
52#14582833C2211yescharacteristic
53#14582832C2211yescharacteristic
54#14582832C2211yescharacteristic
55#14582831C2211yescharacteristic
56#14582831C2211yescharacteristic
57#14582830C2211yescharacteristic
58#14582828C2211yescharacteristic
59#14582827C2211yescharacteristic
60#14582827C2211yescharacteristic
61#14582827C2211yescharacteristic
62#14582827C2211yescharacteristic
63#14582827C2211yescharacteristic
64#14582824C2211yescharacteristic
65#14582824C2211yescharacteristic
66#14582824C2211yescharacteristic
67#14582824C2211yescharacteristic
68#14582822C2211yescharacteristic
69#14582822C2211yescharacteristic
70#14582822C2211yescharacteristic
71#14582819C2211yescharacteristic
72#14582815C2211yescharacteristic
73#14582815C2211yescharacteristic
74#14582815C2211yescharacteristic
75#14582814C2211yescharacteristic
76#14582813C2211yescharacteristic
77#14582813C2211yescharacteristic
78#14582813C2211yescharacteristic
79#14582813C2211yescharacteristic
80#14582813C2211yescharacteristic
81#14582811C2211yescharacteristic
82#14582807C2211yescharacteristic
83#14582807C2211yescharacteristic
84#14582807C2211yescharacteristic
85#14582804C2211yescharacteristic
86#14582803C2211yescharacteristic
87#14582802C2211yescharacteristic
88#14582802C2211yescharacteristic
89#14582802C2211yescharacteristic
90#14582799C2211yescharacteristic
91#14582799C2211yescharacteristic
92#14582798C2211yescharacteristic
93#14582798C2211yescharacteristic
94#14582794C2211yescharacteristic
95#14582793C2211yescharacteristic
96#14582793C2211yescharacteristic
97#14582793C2211yescharacteristic
98#14582793C2211yescharacteristic
99#14582793C2211yescharacteristic
100#14582793C2211yescharacteristic
101#14582793C2211yescharacteristic
102#14582792C2211yescharacteristic
103#14582792C2211yescharacteristic
104#14582792C2211yescharacteristic
105#14582791C2211yescharacteristic
106#14582789C2211yescharacteristic
107#14582787C2211yescharacteristic
108#14582787C2211yescharacteristic
109#14582787C2211yescharacteristic
110#14582787C2211yescharacteristic
111#14582787C2211yescharacteristic
112#14582787C2211yescharacteristic
113#14582787C2211yescharacteristic
114#14582786C2211yescharacteristic
115#14582785C2211yescharacteristic
116#14582784C2211yescharacteristic
117#14582784C2211yescharacteristic
118#14582782C2211yescharacteristic
119#14582781C2211yescharacteristic
120#14582781C2211yescharacteristic
121#14582780C2211yescharacteristic
122#14582780C2211yescharacteristic
123#14582780C2211yescharacteristic
124#14582780C2211yescharacteristic
125#14582780C2211yescharacteristic
126#14582780C2211yescharacteristic
127#14582779C2211yescharacteristic
128#14582779C2211yescharacteristic
129#14582779C2211yescharacteristic
130#14582779C2211yescharacteristic
131#14582779C2211yescharacteristic
132#14582779C2211yescharacteristic
133#14582779C2211yescharacteristic
134#14582779C2211yescharacteristic
135#14582779C2211yescharacteristic
136#14582778C2211yescharacteristic
137#14582778C2211yescharacteristic
138#14582776C2211yescharacteristic
139#14582776C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582775C2211yescharacteristic
143#14582775C2211yescharacteristic
144#14582774C2211yescharacteristic
145#14582772C2211yescharacteristic
146#14582772C2211yescharacteristic
147#14582771C2211yescharacteristic
148#14582771C2211yescharacteristic
149#14582770C2211yescharacteristic
150#14582770C2211yescharacteristic
151#14582770C2211yescharacteristic
152#14582770C2211yescharacteristic
153#14582766C2211yescharacteristic
154#14582766C2211yescharacteristic
155#14582764C2211yescharacteristic
156#14582763C2211yescharacteristic
157#14582762C2211yescharacteristic
158#14582762C2211yescharacteristic
159#14582762C2211yescharacteristic
160#14582761C2211yescharacteristic
161#14582760C2211yescharacteristic
162#14582759C2211yescharacteristic
163#14582758C2211yescharacteristic
164#14582757C2211yescharacteristic
165C4⋊C4×Dic43C2211yescharacteristic
166C22⋊C4×Dic43C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic
168C4×C22⋊Dic43C2211yescharacteristic
169#14582746C2211yescharacteristic
170#14582744C2211yescharacteristic
171#95×D43C2211yescharacteristic
172C2×#123×C43C2211yescharacteristic
173C2×#121×C43C2211yescharacteristic
174C2×#121×C43C2211yescharacteristic
175C2×#121×C43C2211yescharacteristic
176C43×#399C2211yescharacteristic
177C43×#398C2211yescharacteristic
178C43×#394C2211yescharacteristic
179C43×#394C2211yescharacteristic
180C43×#394C2211yescharacteristic
181C43×#392C2211yescharacteristic
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic
184C43×#385C2211yescharacteristic
185C43×#385C2211yescharacteristic
186C43×#380C2211yescharacteristic
187C22×Dic86C2311yescharacteristic
188C22×C22⋊D43C2311yescharacteristic
189C22×C22⋊D43C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C23×Dic43C2311yescharacteristic
193C23×Dic43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198#13063318—42no—
199#13063312—42no—
200#13063304—42no—
201#13063303—42no—
202#13063296—24no—
203#13063296—42no—
204#13063296—42no—
205C4×C22⋊D43—24no—
206(C22⋊D43)⋊C4—24no—
207#13063283—42no—
208C2×C4⋊Dic43C2311yescharacteristic
209C2×C4⋊Dic43C2311yescharacteristic
210C2×C4⋊Dic43C2311yescharacteristic
211C2×C4⋊Dic43C2311yescharacteristic
212C2×C4⋊Dic43C2311yescharacteristic
213C2×C4⋊Dic43C2311yescharacteristic
214C2×C4⋊Dic43C2311yescharacteristic
215C2×C4⋊Dic43C2311yescharacteristic
216C2×Dic43⋊C4C2311yescharacteristic
217C2×Dic43⋊C4C2311yescharacteristic
218C2×Dic43⋊C4C2311yescharacteristic
219C2×Dic43⋊C4C2311yescharacteristic
220C2×Dic43⋊C4C2311yescharacteristic
221C2×Dic43⋊C4C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×C22⋊Dic43C2311yescharacteristic
231C2×C22⋊Dic43C2311yescharacteristic
232C2×C22⋊Dic43C2311yescharacteristic
233C2×C22⋊Dic43C2311yescharacteristic
234C2×C22⋊Dic43C2311yescharacteristic
235C2×C22⋊Dic43C2311yescharacteristic
236C2×C22⋊Dic43C2311yescharacteristic
237C2×C22⋊Dic43C2311yescharacteristic
238C2×C22⋊Dic43C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×(C2×D43)⋊C4C2311yescharacteristic
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×C4×Dic43—42no—
264C2×C4×Dic43C2311yescharacteristic
265C2×C4×Dic43C2311yescharacteristic
266C2×C4×Dic43C2311yescharacteristic
267C2×C4×Dic43C2311yescharacteristic
268C2×C4×Dic43C2311yescharacteristic
269C2×C4×Dic43C2311yescharacteristic
270C2×C4×Dic43C2311yescharacteristic
271C2×C4×Dic43C2311yescharacteristic
272C2×C4×Dic43C2311yescharacteristic
273C2×C4×Dic43C2311yescharacteristic
274C43⋊#95C2311yescharacteristic
275C43⋊#95C2311yescharacteristic
276C43⋊#95C2311yescharacteristic
277C43⋊#95C2311yescharacteristic
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C22×D4×C43C2311yescharacteristic
319C22×D4×C43C2311yescharacteristic
320C22×D4×C43C2311yescharacteristic
321C22×D4×C43C2311yescharacteristic
322C22×D4×C43C2311yescharacteristic
323C22×D4×C43C2311yescharacteristic
324C23×C4×C43C2311yescharacteristic
325C23×C4×C43C2311yescharacteristic
326C23×C4×C43C2311yescharacteristic
327#123×C43—42no—
328#121×C43—42no—
329#121×C43—42no—
330#121×C43—42no—
331C2×C4⋊C4×C43C2311yescharacteristic
332C2×C4⋊C4×C43C2311yescharacteristic
333C2×C4⋊C4×C43C2311yescharacteristic
334C2×C4⋊C4×C43C2311yescharacteristic
335C2×C4⋊C4×C43C2311yescharacteristic
336C2×C4⋊C4×C43C2311yescharacteristic
337C2×C4⋊C4×C43C2311yescharacteristic
338C2×C22⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C22⋊C4×C43C2311yescharacteristic
341C2×C22⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43C2311yescharacteristic
343C2×C22⋊C4×C43C2311yescharacteristic
344C2×C22⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C22⋊C4×C43C2311yescharacteristic
348C2×C22⋊C4×C43C2311yescharacteristic
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357C24×C43C2411yescharacteristic
358C24×C43C2411yescharacteristic
359C24×C43C2411yescharacteristic
360C24×C43C2411yescharacteristic
361C23×D43C2411yescharacteristic
362C2×D4×C43—22no—
363C2×D4×C43—22no—
364C2×D4×C43—22no—
365C2×D4×C43—22no—
366C2×D4×C43—22no—
367C2×D4×C43—41no—
368C2×D4×C43—41no—
369C2×D4×C43—41no—
370C2×D4×C43—41no—
371C2×D4×C43—41no—
372C2×D4×C43—41no—
373C2×D4×C43—41no—
374C2×D4×C43—41no—
375C2×D4×C43—41no—
376C2×D4×C43—41no—
377C2×D4×C43—41no—
378C2×D4×C43—41no—
379C2×D4×C43—41no—
380C22×C4×C43—22no—
381C22×C4×C43—22no—
382C22×C4×C43—22no—
383C22×C4×C43—41no—
384C22×C4×C43—41no—
385C22×C4×C43—41no—
386C22×C4×C43—41no—
387C22×C4×C43—41no—
388C22×C4×C43—41no—
389C22×C4×C43C2411yescharacteristic
390C22×C4×C43C2411yescharacteristic
391C22×C4×C43C2411yescharacteristic
392C22×C4×C43C2411yescharacteristic
393C22×C4×C43C2411yescharacteristic
394C22×C4×C43C2411yescharacteristic
395C22×C4×C43C2411yescharacteristic
396C22×C4×C43C2411yescharacteristic
397C22×C4×C43C2411yescharacteristic
398C22×C4×C43C2411yescharacteristic
399C22×C4×C43C2411yescharacteristic
400C2×C22⋊D43—22no—
401C2×C22⋊D43—22no—
402C2×C22⋊D43—22no—
403C2×C22⋊D43—22no—
404C2×C22⋊D43—22no—
405C2×C22⋊D43—41no—
406C2×C22⋊D43—41no—
407C2×C22⋊D43—41no—
408C2×C22⋊D43—41no—
409C2×C22⋊D43—41no—
410C2×C22⋊D43—41no—
411C2×C22⋊D43—41no—
412C22×Dic43—22no—
413C22×Dic43—41no—
414C22×Dic43—41no—
415C22×Dic43—41no—
416C22×Dic43—41no—
417C22×Dic43—41no—
418C22×Dic43—41no—
419C22×Dic43—41no—
420C22×Dic43—41no—
421C22×Dic43C2411yescharacteristic
422C22×Dic43C2411yescharacteristic
423C22×Dic43C2411yescharacteristic
424C22×Dic43C2411yescharacteristic
425C22×Dic43C2411yescharacteristic
426C22×Dic43C2411yescharacteristic
427C22×Dic43C2411yescharacteristic
428C22×Dic43C2411yescharacteristic
429C22×Dic43C2411yescharacteristic
430C22×Dic43C2411yescharacteristic
431C22×Dic43C2411yescharacteristic
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C22×Dic43C2411yescharacteristic
436C2×C4×D43—41no—
437C2×C4×D43—41no—
438C2×C4×D43—41no—
439C2×C4×D43—41no—
440C2×C4×D43—41no—
441C2×C4×D43—41no—
442C2×C4×D43—41no—
443C2×C4×D43—41no—
444C2×C4×D43#4114yes—
445C2×Dic86—22no—
446C2×Dic86—41no—
447C2×Dic86—41no—
448C4⋊C4×C43—22no—
449C4⋊C4×C43—22no—
450C4⋊C4×C43—41no—
451C4⋊C4×C43—41no—
452C4⋊C4×C43—41no—
453C4⋊C4×C43—41no—
454C4⋊C4×C43—41no—
455C22⋊C4×C43—22no—
456C22⋊C4×C43—22no—
457C22⋊C4×C43—22no—
458C22⋊C4×C43—41no—
459C22⋊C4×C43—41no—
460C22⋊C4×C43—41no—
461C22⋊C4×C43—41no—
462C22⋊C4×C43—41no—
463C22⋊C4×C43—41no—
464C22⋊C4×C43—41no—
465C22⋊C4×C43—41no—
466C22⋊C4×C43—41no—
467C22⋊C4×C43—41no—
468C22⋊Dic43—22no—
469C22⋊Dic43—22no—
470C22⋊Dic43—22no—
471C22⋊Dic43—22no—
472C22⋊Dic43—22no—
473C22⋊Dic43—22no—
474C22⋊Dic43—41no—
475C22⋊Dic43—41no—
476C22⋊Dic43—41no—
477C22⋊Dic43—41no—
478C22⋊Dic43—41no—
479C22⋊Dic43—41no—
480C22⋊Dic43—41no—
481C22⋊Dic43—41no—
482C22⋊Dic43—41no—
483C22⋊Dic43—41no—
484C22⋊Dic43—41no—
485C22⋊Dic43—41no—
486C22⋊Dic43—41no—
487C22⋊Dic43—41no—
488C22⋊Dic43—41no—
489C22⋊Dic43—41no—
490C22⋊Dic43—41no—
491C22⋊Dic43—41no—
492C22⋊Dic43—41no—
493(C2×D43)⋊C4—22no—
494(C2×D43)⋊C4—22no—
495(C2×D43)⋊C4—22no—
496(C2×D43)⋊C4—41no—
497(C2×D43)⋊C4—41no—
498(C2×D43)⋊C4—41no—
499(C2×D43)⋊C4—41no—
500(C2×D43)⋊C4—41no—
501C4⋊Dic43—22no—
502C4⋊Dic43—41no—
503C4⋊Dic43—41no—
504C4⋊Dic43—41no—
505C4⋊Dic43—41no—
506C4⋊Dic43—41no—
507C4⋊Dic43—41no—
508C4⋊Dic43—41no—
509Dic43⋊C4—22no—
510Dic43⋊C4—22no—
511Dic43⋊C4—41no—
512Dic43⋊C4—41no—
513Dic43⋊C4—41no—
514Dic43⋊C4—41no—
515Dic43⋊C4—41no—
516Dic43⋊C4—41no—
517Dic43⋊C4—41no—
518Dic43⋊C4—41no—
519Dic43⋊C4—41no—
520Dic43⋊C4—41no—
521Dic43⋊C4—41no—
522Dic43⋊C4—41no—
523C4×Dic43—22no—
524C4×Dic43—22no—
525C4×Dic43—22no—
526C4×Dic43—22no—
527C4×Dic43—41no—
528C4×Dic43—41no—
529C4×Dic43—41no—
530C4×Dic43—41no—
531C4×Dic43—41no—
532C4×Dic43—41no—
533C23×C43—21no—
534C23×C43—21no—
535C23×C43—21no—
536C23×C43—21no—
537C23×C43—21no—
538C23×C43—21no—
539C23×C43—21no—
540C23×C43—21no—
541C23×C43—21no—
542C23×C43—21no—
543C23×C43—21no—
544C23×C43—21no—
545C23×C43—21no—
546C23×C43—21no—
547C23×C43—21no—
548C23×C43—21no—
549C23×C43—21no—
550C23×C43—21no—
551C23×C43—21no—
552C23×C43—21no—
553C23×C43—21no—
554C23×C43—21no—
555C23×C43—21no—
556C23×C43—21no—
557C23×C43—21no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43H(5,𝔽2)12yes—
561C23×C43C2511yescharacteristic
562C22×D43—21no—
563C22×D43—21no—
564C22×D43—21no—
565C22×D43—21no—
566C22×D43—21no—
567C22×D43—21no—
568C22×D43C2×#4112yes—
569D4×C43—82no—
570D4×C43—82no—
571D4×C43—82no—
572D4×C43—82no—
573D4×C43—82no—
574D4×C43—82no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
594C2×C4×C43—21no—
595C2×C4×C43—21no—
596C2×C4×C43—21no—
597C2×C4×C43—21no—
598C2×C4×C43—21no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—44no—
607C2×C4×C43—82no—
608C2×C4×C43—82no—
609C2×C4×C43C2×#4112yes—
610C2×C4×C43H(5,𝔽2)12yes—
611C22⋊D43—44no—
612C22⋊D43—44no—
613C22⋊D43—82no—
614C22⋊D43—82no—
615C2×Dic43—21no—
616C2×Dic43—21no—
617C2×Dic43—21no—
618C2×Dic43—21no—
619C2×Dic43—21no—
620C2×Dic43—21no—
621C2×Dic43—21no—
622C2×Dic43—21no—
623C2×Dic43—21no—
624C2×Dic43—21no—
625C2×Dic43—21no—
626C2×Dic43—21no—
627C2×Dic43—21no—
628C2×Dic43—21no—
629C2×Dic43—21no—
630C2×Dic43—21no—
631C2×Dic43—21no—
632C2×Dic43—21no—
633C2×Dic43—21no—
634C2×Dic43—21no—
635C2×Dic43—21no—
636C2×Dic43—21no—
637C2×Dic43—21no—
638C2×Dic43—21no—
639C2×Dic43—21no—
640C2×Dic43—21no—
641C2×Dic43—21no—
642C2×Dic43—21no—
643C2×Dic43—21no—
644C2×Dic43—21no—
645C2×Dic43—21no—
646C2×Dic43—21no—
647C2×Dic43—21no—
648C2×Dic43—21no—
649C2×Dic43—21no—
650C2×Dic43—21no—
651C2×Dic43—21no—
652C2×Dic43—21no—
653C2×Dic43—21no—
654C2×Dic43—21no—
655C2×Dic43—21no—
656C2×Dic43—21no—
657C2×Dic43—21no—
658C2×Dic43—21no—
659C2×Dic43—44no—
660C2×Dic43—44no—
661C2×Dic43—82no—
662C2×Dic43C2×#4112yes—
663C4×D43—44no—
664C4×D43—82no—
665C4×D43—82no—
666Dic86—82no—
667#36785—431nomaximal, Sylow
668C22×C43—22no—
669C22×C43—22no—
670C22×C43—22no—
671C22×C43—41no—
672C22×C43—41no—
673C22×C43—41no—
674C22×C43—41no—
675C22×C43—41no—
676C22×C43—41no—
677C22×C43—41no—
678C22×C43—41no—
679C22×C43—41no—
680C22×C43—41no—
681C22×C43—41no—
682C22×C43—41no—
683C22×C43—41no—
684C22×C43—41no—
685C22×C43—41no—
686C22×C43—41no—
687C22×C43—41no—
688C22×C43—41no—
689C22×C43—41no—
690C22×C43—41no—
691C22×C43—41no—
692C22×C43—41no—
693C22×C43—41no—
694C22×C43—41no—
695C22×C43—41no—
696C22×C43C22×#4111yescharacteristic
697C22×C43C2×H(5,𝔽2)11yescharacteristic
698C22×C43C2×H(5,𝔽2)11yescharacteristic
699C22×C43#58511yescharacteristic
700C22×C43#58511yescharacteristic
701C22×C43#58511yescharacteristic
702C22×C43#58511yescharacteristic
703C2×D43—22no—
704C2×D43—22no—
705C2×D43—22no—
706C2×D43—41no—
707C2×D43—41no—
708C2×D43—41no—
709C2×D43—41no—
710C4×C43—22no—
711C4×C43—22no—
712C4×C43—41no—
713C4×C43—41no—
714C4×C43—41no—
715C4×C43—41no—
716C4×C43—41no—
717C4×C43—41no—
718C4×C43—41no—
719C4×C43—41no—
720C4×C43—41no—
721Dic43—22no—
722Dic43—41no—
723Dic43—41no—
724Dic43—41no—
725Dic43—41no—
726Dic43—41no—
727Dic43—41no—
728Dic43—41no—
729Dic43—41no—
730Dic43—41no—
731Dic43—41no—
732Dic43—41no—
733Dic43—41no—
734Dic43—41no—
735Dic43—41no—
736#2853—431no—
737#2850—431no—
738#2782—431no—
739#2769—431no—
740#2761—431no—
741#2756—431no—
742#2749—431no—
743#2747—431no—
744#2746—431no—
745#2746—431no—
746#2730—431no—
747#2698—431no—
748#2691—431no—
749#2688—431no—
750#2688—431no—
751#2686—431no—
752#2681—431no—
753#2671D4311yescharacteristic, complemented
754#2654—431no—
755#2651—431no—
756#2600—431no—
757#2578—431no—
758#2559—431no—
759#2543—431no—
760#2527—431no—
761#2526—431no—
762#2438—431no—
763#2414—431no—
764#2333—431no—
765#2318—431no—
766#2290—431no—
767C2×C43—42no—
768C2×C43—81no—
769C2×C43—81no—
770C2×C43—81no—
771C2×C43#345511yescharacteristic
772C2×C43#349411yescharacteristic
773C2×C43#350511yescharacteristic
774C2×C43#353411yescharacteristic
775C2×C43#353911yescharacteristic
776C2×C43#354511yescharacteristic
777C2×C43#356611yescharacteristic
778D43—42no—
779C2×#126—431no—
780C2×#124—431no—
781C2×#123C2×D4311yescharacteristic
782C2×C22⋊Q8—431no—
783C2×C22⋊Q8—431no—
784C2×#121—431no—
785C2×#121—431no—
786C2×#121—431no—
787C2×#121C2×D4311yescharacteristic
788C2×#121C2×D4311yescharacteristic
789C2×#121C2×D4311yescharacteristic
790C2×C4×D4—431no—
791C2×C4×D4—431no—
792C2×#117—431no—
793C22×C42—431no—
794#401—431no—
795#400—431no—
796#400—431no—
797#400—431no—
798#400—431no—
799#400—431no—
800#400—431no—
801#400—431no—
802#399—431no—
803#399C2×D4311yescharacteristic
804#398—431no—
805#398—431no—
806#398—431no—
807#398—431no—
808#398—431no—
809#398—431no—
810#398C2×D4311yescharacteristic
811#397—431no—
812#397—431no—
813#397—431no—
814#397—431no—
815#397—431no—
816#397—431no—
817#397—431no—
818#397—431no—
819#397—431no—
820#397—431no—
821#396—431no—
822#396—431no—
823#396—431no—
824#395—431no—
825#394—431no—
826#394—431no—
827#394—431no—
828#394—431no—
829#394—431no—
830#394—431no—
831#394—431no—
832#394—431no—
833#394—431no—
834#394C2×D4311yescharacteristic
835#394C2×D4311yescharacteristic
836#394C2×D4311yescharacteristic
837#393—431no—
838#392—431no—
839#392—431no—
840#392—431no—
841#392C2×D4311yescharacteristic
842#391—431no—
843#391—431no—
844#390—431no—
845#390—431no—
846#390—431no—
847#390—431no—
848#390—431no—
849#389—431no—
850#389—431no—
851#389—431no—
852#388—431no—
853#388—431no—
854#388—431no—
855#388—431no—
856#388—431no—
857#388—431no—
858#388—431no—
859#388—431no—
860#388—431no—
861#388—431no—
862#388—431no—
863#388—431no—
864#388—431no—
865#388—431no—
866#388—431no—
867#388—431no—
868#388—431no—
869#388—431no—
870#388—431no—
871#387—431no—
872#387—431no—
873#387—431no—
874#387—431no—
875#387—431no—
876#387—431no—
877#387—431no—
878#387—431no—
879#387—431no—
880#387—431no—
881#387—431no—
882#387—431no—
883#387—431no—
884#386—431no—
885#386—431no—
886#386—431no—
887#386—431no—
888#386—431no—
889#386—431no—
890#386—431no—
891#386—431no—
892#386—431no—
893#386—431no—
894#386—431no—
895#386—431no—
896#386—431no—
897#386—431no—
898#386—431no—
899#386—431no—
900#386—431no—
901#386C2×D4311yescharacteristic
902#386C2×D4311yescharacteristic
903#385—431no—
904#385—431no—
905#385—431no—
906#385—431no—
907#385—431no—
908#385—431no—
909#385—431no—
910#385—431no—
911#385—431no—
912#385C2×D4311yescharacteristic
913#385C2×D4311yescharacteristic
914#383—431no—
915#383—431no—
916#382—431no—
917#382—431no—
918#381—431no—
919#381—431no—
920#381—431no—
921#381—431no—
922#381—431no—
923#380—431no—
924#380—431no—
925#380—431no—
926#380C2×D4311yescharacteristic
927C4×C4⋊C4—431no—
928C4×C22⋊C4—431no—
929C4×C22⋊C4—431no—
930C4×C22⋊C4—431no—
931C4×C22⋊C4—431no—
932#376—431no—
933C2×#95—431no—
934C43#3678511yescharacteristic, complemented, Sylow
935C22×Q8—431no—
936C22×D4—431no—
937C22×D4—431no—
938C22×D4—431no—
939C22×D4—431no—
940C22×D4C22×D4311yescharacteristic
941C22×D4C22×D4311yescharacteristic
942C22×D4C22×D4311yescharacteristic
943C22×D4C22×D4311yescharacteristic
944C22×D4C22×D4311yescharacteristic
945C22×D4C22×D4311yescharacteristic
946C23×C4—431no—
947C23×C4—431no—
948C23×C4—431no—
949C23×C4—431no—
950C23×C4—431no—
951C23×C4—431no—
952C23×C4C22×D4311yescharacteristic
953C23×C4C22×D4311yescharacteristic
954C23×C4C22×D4311yescharacteristic
955#126—1722no—
956#124—1722no—
957#123—42no—
958C22⋊Q8—1722no—
959C22⋊Q8—1722no—
960#121—42no—
961#121—42no—
962#121—42no—
963#121—864no—
964#121—1722no—
965#121—1722no—
966C4×D4—864no—
967C4×D4—864no—
968#117—1722no—
969C2×C4⋊C4—431no—
970C2×C4⋊C4—431no—
971C2×C4⋊C4—431no—
972C2×C4⋊C4—431no—
973C2×C4⋊C4—431no—
974C2×C4⋊C4—431no—
975C2×C4⋊C4—431no—
976C2×C4⋊C4—431no—
977C2×C4⋊C4—431no—
978C2×C4⋊C4—431no—
979C2×C4⋊C4—431no—
980C2×C4⋊C4—431no—
981C2×C4⋊C4—431no—
982C2×C4⋊C4—431no—
983C2×C4⋊C4—431no—
984C2×C4⋊C4—431no—
985C2×C4⋊C4—431no—
986C2×C4⋊C4—431no—
987C2×C4⋊C4—431no—
988C2×C4⋊C4—431no—
989C2×C4⋊C4—431no—
990C2×C4⋊C4—431no—
991C2×C4⋊C4C22×D4311yescharacteristic
992C2×C4⋊C4C22×D4311yescharacteristic
993C2×C4⋊C4C22×D4311yescharacteristic
994C2×C4⋊C4C22×D4311yescharacteristic
995C2×C4⋊C4C22×D4311yescharacteristic
996C2×C4⋊C4C22×D4311yescharacteristic
997C2×C4⋊C4C22×D4311yescharacteristic
998C2×C22⋊C4—431no—
999C2×C22⋊C4—431no—
1000C2×C22⋊C4—431no—
1001C2×C22⋊C4—431no—
1002C2×C22⋊C4—431no—
1003C2×C22⋊C4—431no—
1004C2×C22⋊C4—431no—
1005C2×C22⋊C4—431no—
1006C2×C22⋊C4—431no—
1007C2×C22⋊C4—431no—
1008C2×C22⋊C4—431no—
1009C2×C22⋊C4—431no—
1010C2×C22⋊C4—431no—
1011C2×C22⋊C4—431no—
1012C2×C22⋊C4—431no—
1013C2×C22⋊C4—431no—
1014C2×C22⋊C4—431no—
1015C2×C22⋊C4—431no—
1016C2×C22⋊C4—431no—
1017C2×C22⋊C4—431no—
1018C2×C22⋊C4—431no—
1019C2×C22⋊C4—431no—
1020C2×C22⋊C4—431no—
1021C2×C22⋊C4—431no—
1022C2×C22⋊C4—431no—
1023C2×C22⋊C4—431no—
1024C2×C22⋊C4—431no—
1025C2×C22⋊C4—431no—
1026C2×C22⋊C4—431no—
1027C2×C22⋊C4—431no—
1028C2×C22⋊C4—431no—
1029C2×C22⋊C4—431no—
1030C2×C22⋊C4—431no—
1031C2×C22⋊C4C22×D4311yescharacteristic
1032C2×C22⋊C4C22×D4311yescharacteristic
1033C2×C22⋊C4C22×D4311yescharacteristic
1034C2×C22⋊C4C22×D4311yescharacteristic
1035C2×C22⋊C4C22×D4311yescharacteristic
1036C2×C22⋊C4C22×D4311yescharacteristic
1037C2×C22⋊C4C22×D4311yescharacteristic
1038C2×C22⋊C4C22×D4311yescharacteristic
1039C2×C22⋊C4C22×D4311yescharacteristic
1040C2×C22⋊C4C22×D4311yescharacteristic
1041C2×C22⋊C4C22×D4311yescharacteristic
1042C2×C22⋊C4C22×D4311yescharacteristic
1043C2×C22⋊C4C22×D4311yescharacteristic
1044C2×C42—431no—
1045C2×C42—431no—
1046C2×C42—431no—
1047C2×C42—431no—
1048C2×C42—431no—
1049C2×C42—431no—
1050C2×C42—431no—
1051C2×C42—431no—
1052C2×C42—431no—
1053C2×C42—431no—
1054C2×C42—1722no—
1055#95—431no—
1056#95—431no—
1057#95—431no—
1058#95—431no—
1059#95—431no—
1060#95—431no—
1061#95—431no—
1062#95—431no—
1063#95—431no—
1064#95—431no—
1065#95—431no—
1066#95—431no—
1067#95—431no—
1068#95—431no—
1069#95—431no—
1070#95—431no—
1071#95—431no—
1072#95—431no—
1073#95—431no—
1074#95—431no—
1075#95—431no—
1076#95—431no—
1077#95—431no—
1078#95—431no—
1079#95—431no—
1080#95—431no—
1081#95—431no—
1082#95—431no—
1083#95—431no—
1084#95—431no—
1085#95—431no—
1086#95—431no—
1087#95—431no—
1088#95—431no—
1089#95—431no—
1090#95—431no—
1091#95—431no—
1092#95—431no—
1093#95—431no—
1094#95—431no—
1095#95—431no—
1096#95—431no—
1097#95—431no—
1098#95—431no—
1099#95C22×D4311yescharacteristic
1100#95C22×D4311yescharacteristic
1101#95C22×D4311yescharacteristic
1102#95C22×D4311yescharacteristic
1103#95C22×D4311yescharacteristic
1104#95C22×D4311yescharacteristic
1105C24—431no—
1106C24C23×D4311yescharacteristic
1107C24C23×D4311yescharacteristic
1108C24C23×D4311yescharacteristic
1109C24C23×D4311yescharacteristic
1110C2×Q8—862no—
1111C2×Q8—1721no—
1112C2×Q8—1721no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—862no—
1132C2×D4—862no—
1133C2×D4—862no—
1134C2×D4—862no—
1135C2×D4—862no—
1136C2×D4—1721no—
1137C2×D4—1721no—
1138C2×D4—1721no—
1139C2×D4—1721no—
1140C2×D4—1721no—
1141C2×D4—1721no—
1142C2×D4—1721no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—431no—
1153C22×C4—434no—
1154C22×C4—431no—
1155C22×C4—431no—
1156C22×C4—431no—
1157C22×C4—431no—
1158C22×C4—431no—
1159C22×C4—431no—
1160C22×C4—431no—
1161C22×C4—431no—
1162C22×C4—431no—
1163C22×C4—431no—
1164C22×C4—431no—
1165C22×C4—431no—
1166C22×C4—431no—
1167C22×C4—431no—
1168C22×C4—862no—
1169C22×C4—1721no—
1170C22×C4—1721no—
1171C22×C4—1721no—
1172C22×C4—1721no—
1173C22×C4—1721no—
1174C22×C4—1721no—
1175C22×C4—1721no—
1176C22×C4—1721no—
1177C22×C4—1721no—
1178C22×C4—1721no—
1179C22×C4—1721no—
1180C22×C4—1721no—
1181C22×C4—1721no—
1182C22×C4—1721no—
1183C22×C4—1721no—
1184C22×C4—1721no—
1185C22×C4C23×D4311yescharacteristic
1186C22×C4C23×D4311yescharacteristic
1187C22×C4C23×D4311yescharacteristic
1188C22×C4C23×D4311yescharacteristic
1189C22×C4C23×D4311yescharacteristic
1190C22×C4C23×D4311yescharacteristic
1191C22×C4C23×D4311yescharacteristic
1192C22×C4C23×D4311yescharacteristic
1193C22×C4C23×D4311yescharacteristic
1194C22×C4C23×D4311yescharacteristic
1195C22×C4C23×D4311yescharacteristic
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—862no—
1204C4⋊C4—862no—
1205C4⋊C4—862no—
1206C4⋊C4—1721no—
1207C4⋊C4—1721no—
1208C4⋊C4—1721no—
1209C4⋊C4—1721no—
1210C4⋊C4—1721no—
1211C4⋊C4—1721no—
1212C4⋊C4—1721no—
1213C4⋊C4—1721no—
1214C4⋊C4—1721no—
1215C4⋊C4—1721no—
1216C4⋊C4—1721no—
1217C4⋊C4—1721no—
1218C4⋊C4—1721no—
1219C4⋊C4—1721no—
1220C4⋊C4—1721no—
1221C4⋊C4—1721no—
1222C4⋊C4—1721no—
1223C4⋊C4—1721no—
1224C4⋊C4—1721no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—862no—
1239C22⋊C4—862no—
1240C22⋊C4—862no—
1241C22⋊C4—862no—
1242C22⋊C4—862no—
1243C22⋊C4—862no—
1244C22⋊C4—862no—
1245C22⋊C4—862no—
1246C22⋊C4—862no—
1247C22⋊C4—1721no—
1248C22⋊C4—1721no—
1249C22⋊C4—1721no—
1250C22⋊C4—1721no—
1251C22⋊C4—1721no—
1252C22⋊C4—1721no—
1253C22⋊C4—1721no—
1254C22⋊C4—1721no—
1255C22⋊C4—1721no—
1256C22⋊C4—1721no—
1257C22⋊C4—1721no—
1258C22⋊C4—1721no—
1259C22⋊C4—1721no—
1260C22⋊C4—1721no—
1261C22⋊C4—1721no—
1262C22⋊C4—1721no—
1263C22⋊C4—1721no—
1264C22⋊C4—1721no—
1265C22⋊C4—1721no—
1266C22⋊C4—1721no—
1267C22⋊C4—1721no—
1268C22⋊C4—1721no—
1269C22⋊C4—1721no—
1270C22⋊C4—1721no—
1271C42—862no—
1272C42—862no—
1273C42—862no—
1274C42—862no—
1275C42—1721no—
1276C42—1721no—
1277C42—1721no—
1278C42—1721no—
1279C42—1721no—
1280C42—1721no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—432no—
1309C23—861no—
1310C23—861no—
1311C23—861no—
1312C23—861no—
1313C23—861no—
1314C23—861no—
1315C23#1306337012yes—
1316C23C24×D4311yescharacteristic
1317Q8—3442no—
1318D4—82no—
1319D4—82no—
1320D4—82no—
1321D4—82no—
1322D4—82no—
1323D4—82no—
1324D4—3442no—
1325D4—3442no—
1326D4—1724no—
1327D4—1724no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—44no—
1360C2×C4—82no—
1361C2×C4—82no—
1362C2×C4—432no—
1363C2×C4—861no—
1364C2×C4—861no—
1365C2×C4—861no—
1366C2×C4—861no—
1367C2×C4—861no—
1368C2×C4—861no—
1369C2×C4—861no—
1370C2×C4—861no—
1371C2×C4—861no—
1372C2×C4—861no—
1373C2×C4—861no—
1374C2×C4—861no—
1375C2×C4—861no—
1376C2×C4—861no—
1377C2×C4—861no—
1378C2×C4—861no—
1379C2×C4—861no—
1380C2×C4—861no—
1381C2×C4—861no—
1382C2×C4—861no—
1383C2×C4—861no—
1384C2×C4—861no—
1385C2×C4—861no—
1386C2×C4—861no—
1387C2×C4—861no—
1388C2×C4—861no—
1389C2×C4—861no—
1390C2×C4—861no—
1391C2×C4—861no—
1392C2×C4—861no—
1393C2×C4—861no—
1394C2×C4—861no—
1395C2×C4—861no—
1396C2×C4—861no—
1397C2×C4—861no—
1398C2×C4—861no—
1399C2×C4—861no—
1400C2×C4—861no—
1401C2×C4—861no—
1402C2×C4—861no—
1403C2×C4—861no—
1404C2×C4—861no—
1405C2×C4—861no—
1406C2×C4—861no—
1407C2×C4—3442no—
1408C2×C4—3442no—
1409C2×C4—3442no—
1410C2×C4—1724no—
1411C2×C4—1724no—
1412C2×C4—1724no—
1413C2×C4#41×D4312yes—
1414C2×C4#1306337012yes—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—862no—
1444C22—862no—
1445C22—862no—
1446C22—1721no—
1447C22—1721no—
1448C22—1721no—
1449C22—1721no—
1450C22C2×#41×D4311yescharacteristic
1451C22C2×#1306337011yescharacteristic
1452C22C2×#1306337011yescharacteristic
1453C22#1458373411yescharacteristic
1454C22#1458373411yescharacteristic
1455C22#1458373411yescharacteristic
1456C22#1458373611yescharacteristic
1457C4—22no—
1458C4—22no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—862no—
1469C4—1721no—
1470C4—1721no—
1471C4—1721no—
1472C4—1721no—
1473C4—1721no—
1474C4—1721no—
1475C4—1721no—
1476C4—1721no—
1477C4—1721no—
1478C4—1721no—
1479C4—1721no—
1480C4—1721no—
1481C4—1721no—
1482C4—1721no—
1483C2—42no—
1484C2—81no—
1485C2—81no—
1486C2—81no—
1487C2—1722no—
1488C2#1914797911yescharacteristic
1489C2#1914831911yescharacteristic
1490C2#1914842211yescharacteristic
1491C2#1914877311yescharacteristic
1492C2#1914884811yescharacteristic
1493C2#1914894411yescharacteristic
1494C2#1914926811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2671C2
hypercenter#2671D43
hypocenterC43#36785
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
1. #19142914C2semidirect
2. #19142894C2semidirect
3. #19142267C2semidirect
4. #19142091C2semidirect
5. #19141982C2semidirect
6. #19141922C2semidirect
7. #19141820C2semidirect
8. #19141790C2semidirect
9. #19141785C2semidirect
10. #19141783C2semidirect
11. #19141598C2semidirect
12. #19141173C2semidirect
13. #19141075C2semidirect
14. #19141027C2semidirect
15. #19141027C2semidirect
16. #19140997C2semidirect
17. #19140947C2semidirect
18. #19140668C2semidirect
19. #19140629C2semidirect
20. #19140179C2semidirect
21. #19139930C2semidirect
22. #19139720C2semidirect
23. #19139550C2semidirect
24. #19139386C2semidirect
25. #19139360C2semidirect
26. #19138266C2semidirect
27. #19138009C2semidirect
28. #19137356C2semidirect
29. #19137230C2semidirect
30. #19137031C2semidirect
31. C43×#2671C2semidirect
753. #2671D43semidirect
934. C43#36785semidirect

Maximal subgroups

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

subgroupindex
#191429142
#191428942
#191422672
#191420912
#191419822
#191419222
#191418202
#191417902
#191417852
#191417832
#191415982
#191411732
#191410752
#191410272
#191409972
#191409472
#191406682
#191406292
#191401792
#191399302
#191397202
#191395502
#191393862
#191393602
#191382662
#191380092
#191373562
#191372302
#191370312
C43×#26712
#3678543