Finite Group Databasebeta

← #25311200

Subgroups — #25311200

Order 11008.

1682 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142917C211yesmaximal, characteristic, complemented
2#19142449C211yesmaximal, characteristic, complemented
3#19142401C211yesmaximal, characteristic, complemented
4#19142398C211yesmaximal, characteristic, complemented
5#19142375C211yesmaximal, characteristic, complemented
6#19142374C211yesmaximal, characteristic, complemented
7#19142312C211yesmaximal, characteristic, complemented
8#19142199C211yesmaximal, characteristic, complemented
9#19142141C211yesmaximal, characteristic, complemented
10#19142078C211yesmaximal, characteristic, complemented
11#19141857C211yesmaximal, characteristic, complemented
12#19141808C211yesmaximal, characteristic, complemented
13#19141728C211yesmaximal, characteristic, complemented
14#19141707C211yesmaximal, characteristic, complemented
15#19141698C211yesmaximal, characteristic, complemented
16#19141693C211yesmaximal, characteristic, complemented
17#19141663C211yesmaximal, characteristic, complemented
18#19140379C211yesmaximal, characteristic, complemented
19#19140343C211yesmaximal, characteristic, complemented
20#19139816C211yesmaximal, characteristic, complemented
21#19139553C211yesmaximal, characteristic
22#19139064C211yesmaximal, characteristic, complemented
23#19138900C211yesmaximal, characteristic, complemented
24#19138152C211yesmaximal, characteristic, complemented
25#19138142C211yesmaximal, characteristic, complemented
26#19138078C211yesmaximal, characteristic, complemented
27#19138068C211yesmaximal, characteristic, complemented
28#19137296C211yesmaximal, characteristic, complemented
29#19137221C211yesmaximal, characteristic, complemented
30C2×#14582783C211yesmaximal, characteristic, complemented
31C43×#2854C211yesmaximal, characteristic, complemented
32C2×#13063309C2211yescharacteristic
33C2×#13063308C2211yescharacteristic
34C2×#13063306C2211yescharacteristic
35C2×#13063306C2211yescharacteristic
36C2×#13063297C2211yescharacteristic
37C2×#13063297C2211yescharacteristic
38C2×D4×Dic43C2211yescharacteristic
39C2×D4×Dic43C2211yescharacteristic
40C2×(C22⋊D43)⋊C4C2211yescharacteristic
41C22×Dic43⋊C4C2211yescharacteristic
42C22×Dic43⋊C4C2211yescharacteristic
43#14582841C2211yescharacteristic
44#14582840C2211yescharacteristic
45#14582840C2211yescharacteristic
46#14582840C2211yescharacteristic
47#14582839C2211yescharacteristic
48#14582838C2211yescharacteristic
49#14582835C2211yescharacteristic
50#14582835C2211yescharacteristic
51#14582835C2211yescharacteristic
52#14582835C2211yescharacteristic
53#14582834C2211yescharacteristic
54#14582834C2211yescharacteristic
55#14582833C2211yescharacteristic
56#14582833C2211yescharacteristic
57#14582833C2211yescharacteristic
58#14582833C2211yescharacteristic
59#14582832C2211yescharacteristic
60#14582832C2211yescharacteristic
61#14582832C2211yescharacteristic
62#14582832C2211yescharacteristic
63#14582832C2211yescharacteristic
64#14582832C2211yescharacteristic
65#14582830C2211yescharacteristic
66#14582830C2211yescharacteristic
67#14582829C2211yescharacteristic
68#14582828C2211yescharacteristic
69#14582827C2211yescharacteristic
70#14582827C2211yescharacteristic
71#14582827C2211yescharacteristic
72#14582827C2211yescharacteristic
73#14582827C2211yescharacteristic
74#14582827C2211yescharacteristic
75#14582827C2211yescharacteristic
76#14582827C2211yescharacteristic
77#14582825C2211yescharacteristic
78#14582825C2211yescharacteristic
79#14582823C2211yescharacteristic
80#14582823C2211yescharacteristic
81#14582822C2211yescharacteristic
82#14582822C2211yescharacteristic
83#14582822C2211yescharacteristic
84#14582822C2211yescharacteristic
85#14582815C2211yescharacteristic
86#14582815C2211yescharacteristic
87#14582814C2211yescharacteristic
88#14582814C2211yescharacteristic
89#14582813C2211yescharacteristic
90#14582807C2211yescharacteristic
91#14582799C2211yescharacteristic
92#14582799C2211yescharacteristic
93#14582795C2211yescharacteristic
94#14582794C2211yescharacteristic
95#14582794C2211yescharacteristic
96#14582794C2211yescharacteristic
97#14582793C2211yescharacteristic
98#14582793C2211yescharacteristic
99#14582793C2211yescharacteristic
100#14582793C2211yescharacteristic
101#14582790C2211yescharacteristic
102#14582790C2211yescharacteristic
103#14582790C2211yescharacteristic
104#14582790C2211yescharacteristic
105#14582789C2211yescharacteristic
106#14582788C2211yescharacteristic
107#14582787C2211yescharacteristic
108#14582787C2211yescharacteristic
109#14582786C2211yescharacteristic
110#14582786C2211yescharacteristic
111#14582785C2211yescharacteristic
112#14582785C2211yescharacteristic
113#14582784C2211yescharacteristic
114#14582784C2211yescharacteristic
115#14582783C2211yescharacteristic
116#14582783C2211yescharacteristic
117#14582783C2211yescharacteristic
118#14582783C2211yescharacteristic
119#14582783C2211yescharacteristic
120#14582783C2211yescharacteristic
121#14582783C2211yescharacteristic
122#14582783C2211yescharacteristic
123#14582783C2211yescharacteristic
124#14582783C2211yescharacteristic
125#14582783C2211yescharacteristic
126#14582783C2211yescharacteristic
127#14582782C2211yescharacteristic
128#14582781C2211yescharacteristic
129#14582781C2211yescharacteristic
130#14582780C2211yescharacteristic
131#14582780C2211yescharacteristic
132#14582780C2211yescharacteristic
133#14582779C2211yescharacteristic
134#14582779C2211yescharacteristic
135#14582779C2211yescharacteristic
136#14582779C2211yescharacteristic
137#14582778C2211yescharacteristic
138#14582778C2211yescharacteristic
139#14582776C2211yescharacteristic
140#14582776C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582775C2211yescharacteristic
143#14582774C2211yescharacteristic
144#14582773C2211yescharacteristic
145#14582772C2211yescharacteristic
146#14582772C2211yescharacteristic
147#14582771C2211yescharacteristic
148#14582771C2211yescharacteristic
149#14582771C2211yescharacteristic
150#14582770C2211yescharacteristic
151#14582768C2211yescharacteristic
152#14582768C2211yescharacteristic
153#14582766C2211yescharacteristic
154#14582763C2211yescharacteristic
155#14582762C2211yescharacteristic
156#14582761C2211yescharacteristic
157#14582760C2211yescharacteristic
158#14582760C2211yescharacteristic
159#14582760C2211yescharacteristic
160#14582757C2211yescharacteristic
161#14582757C2211yescharacteristic
162#14582757C2211yescharacteristic
163#14582757C2211yescharacteristic
164#14582757C2211yescharacteristic
165#14582757C2211yescharacteristic
166#14582756C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic
168C2×C43⋊#95C2211yescharacteristic
169C2×C43⋊#95C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×#123×C43C2211yescharacteristic
173C2×#123×C43C2211yescharacteristic
174C2×#121×C43C2211yescharacteristic
175C22×C42×C43C2211yescharacteristic
176C43×#390C2211yescharacteristic
177C43×#390C2211yescharacteristic
178C43×#389C2211yescharacteristic
179C43×#389C2211yescharacteristic
180C43×#388C2211yescharacteristic
181C43×#388C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#388C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#380C2211yescharacteristic
187C22×C22⋊D43C2311yescharacteristic
188C22×C22⋊D43C2311yescharacteristic
189C22×C22⋊D43C2311yescharacteristic
190C23×Dic43C2311yescharacteristic
191C23×Dic43C2311yescharacteristic
192C23×Dic43C2311yescharacteristic
193C23×Dic43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C23×Dic43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197#13063309—42no—
198#13063308—42no—
199#13063306—42no—
200#13063306—42no—
201#13063297—24no—
202#13063297—42no—
203D4×Dic43—24no—
204D4×Dic43—42no—
205(C22⋊D43)⋊C4—42no—
206C2×C4⋊Dic43C2311yescharacteristic
207C2×C4⋊Dic43C2311yescharacteristic
208C2×C4⋊Dic43C2311yescharacteristic
209C2×C4⋊Dic43C2311yescharacteristic
210C2×C4⋊Dic43C2311yescharacteristic
211C2×C4⋊Dic43C2311yescharacteristic
212C2×Dic43⋊C4—24no—
213C2×Dic43⋊C4—42no—
214C2×Dic43⋊C4C2311yescharacteristic
215C2×Dic43⋊C4C2311yescharacteristic
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×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×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×C22⋊Dic43C2311yescharacteristic
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×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×C4×Dic43C2311yescharacteristic
268C2×C4×Dic43C2311yescharacteristic
269C2×C4×Dic43C2311yescharacteristic
270C2×C4×Dic43C2311yescharacteristic
271C2×C4×Dic43C2311yescharacteristic
272C43⋊#95C2311yescharacteristic
273C43⋊#95C2311yescharacteristic
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
321C23×C4×C43C2311yescharacteristic
322C23×C4×C43C2311yescharacteristic
323C23×C4×C43C2311yescharacteristic
324#123×C43—42no—
325#123×C43—42no—
326#121×C43—42no—
327C2×C4⋊C4×C43C2311yescharacteristic
328C2×C4⋊C4×C43C2311yescharacteristic
329C2×C4⋊C4×C43C2311yescharacteristic
330C2×C4⋊C4×C43C2311yescharacteristic
331C2×C4⋊C4×C43C2311yescharacteristic
332C2×C4⋊C4×C43C2311yescharacteristic
333C2×C4⋊C4×C43C2311yescharacteristic
334C2×C22⋊C4×C43C2311yescharacteristic
335C2×C22⋊C4×C43C2311yescharacteristic
336C2×C22⋊C4×C43C2311yescharacteristic
337C2×C22⋊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×C42×C43—42no—
347C2×C42×C43C2311yescharacteristic
348C2×C42×C43C2311yescharacteristic
349C2×C42×C43C2311yescharacteristic
350C2×C42×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
360C23×D43C2411yescharacteristic
361C2×D4×C43—22no—
362C2×D4×C43—22no—
363C2×D4×C43—22no—
364C2×D4×C43—22no—
365C2×D4×C43—22no—
366C2×D4×C43—22no—
367C2×D4×C43—22no—
368C2×D4×C43—41no—
369C2×D4×C43—41no—
370C22×C4×C43—22no—
371C22×C4×C43—22no—
372C22×C4×C43—22no—
373C22×C4×C43—22no—
374C22×C4×C43—22no—
375C22×C4×C43—22no—
376C22×C4×C43—41no—
377C22×C4×C43—41no—
378C22×C4×C43—41no—
379C22×C4×C43C2411yescharacteristic
380C22×C4×C43C2411yescharacteristic
381C22×C4×C43C2411yescharacteristic
382C22×C4×C43C2411yescharacteristic
383C22×C4×C43C2411yescharacteristic
384C22×C4×C43C2411yescharacteristic
385C22×C4×C43C2411yescharacteristic
386C22×C4×C43C2411yescharacteristic
387C22×C4×C43C2411yescharacteristic
388C22×C4×C43C2411yescharacteristic
389C22×C4×C43C2411yescharacteristic
390C22×C4×C43C2411yescharacteristic
391C2×C22⋊D43—22no—
392C2×C22⋊D43—22no—
393C2×C22⋊D43—22no—
394C2×C22⋊D43—22no—
395C2×C22⋊D43—41no—
396C2×C22⋊D43—41no—
397C2×C22⋊D43—41no—
398C2×C22⋊D43—41no—
399C2×C22⋊D43—41no—
400C22×Dic43—22no—
401C22×Dic43—22no—
402C22×Dic43—22no—
403C22×Dic43—22no—
404C22×Dic43—22no—
405C22×Dic43—22no—
406C22×Dic43—41no—
407C22×Dic43—41no—
408C22×Dic43—41no—
409C22×Dic43—41no—
410C22×Dic43—41no—
411C22×Dic43—41no—
412C22×Dic43—41no—
413C22×Dic43—41no—
414C22×Dic43—41no—
415C22×Dic43—41no—
416C22×Dic43—41no—
417C22×Dic43#4114yes—
418C22×Dic43C2411yescharacteristic
419C22×Dic43C2411yescharacteristic
420C22×Dic43C2411yescharacteristic
421C22×Dic43C2411yescharacteristic
422C22×Dic43C2411yescharacteristic
423C22×Dic43C2411yescharacteristic
424C22×Dic43C2411yescharacteristic
425C22×Dic43C2411yescharacteristic
426C22×Dic43C2411yescharacteristic
427C22×Dic43C2411yescharacteristic
428C22×Dic43C2411yescharacteristic
429C22×Dic43C2411yescharacteristic
430C22×Dic43C2411yescharacteristic
431C22×Dic43C2411yescharacteristic
432C22×Dic43C2411yescharacteristic
433C2×C4×D43—41no—
434C2×C4×D43—41no—
435C2×C4×D43—41no—
436C4⋊C4×C43—22no—
437C4⋊C4×C43—41no—
438C4⋊C4×C43—41no—
439C4⋊C4×C43—41no—
440C4⋊C4×C43—41no—
441C4⋊C4×C43—41no—
442C4⋊C4×C43—41no—
443C22⋊C4×C43—22no—
444C22⋊C4×C43—22no—
445C22⋊C4×C43—41no—
446C22⋊C4×C43—41no—
447C22⋊C4×C43—41no—
448C22⋊C4×C43—41no—
449C22⋊C4×C43—41no—
450C22⋊C4×C43—41no—
451C22⋊C4×C43—41no—
452C22⋊C4×C43—41no—
453C22⋊C4×C43—41no—
454C22⋊C4×C43—41no—
455C42×C43—41no—
456C42×C43—41no—
457C42×C43—41no—
458C42×C43—41no—
459C22⋊Dic43—22no—
460C22⋊Dic43—22no—
461C22⋊Dic43—22no—
462C22⋊Dic43—22no—
463C22⋊Dic43—22no—
464C22⋊Dic43—41no—
465C22⋊Dic43—41no—
466C22⋊Dic43—41no—
467C22⋊Dic43—41no—
468C22⋊Dic43—41no—
469C22⋊Dic43—41no—
470C22⋊Dic43—41no—
471C22⋊Dic43—41no—
472C22⋊Dic43—41no—
473C22⋊Dic43—41no—
474(C2×D43)⋊C4—22no—
475(C2×D43)⋊C4—22no—
476(C2×D43)⋊C4—41no—
477(C2×D43)⋊C4—41no—
478(C2×D43)⋊C4—41no—
479(C2×D43)⋊C4—41no—
480(C2×D43)⋊C4—41no—
481(C2×D43)⋊C4—41no—
482(C2×D43)⋊C4—41no—
483(C2×D43)⋊C4—41no—
484(C2×D43)⋊C4—41no—
485C4⋊Dic43—22no—
486C4⋊Dic43—41no—
487C4⋊Dic43—41no—
488C4⋊Dic43—41no—
489C4⋊Dic43—41no—
490C4⋊Dic43—41no—
491Dic43⋊C4—22no—
492Dic43⋊C4—22no—
493Dic43⋊C4—22no—
494Dic43⋊C4—22no—
495Dic43⋊C4—22no—
496Dic43⋊C4—22no—
497Dic43⋊C4—41no—
498Dic43⋊C4—41no—
499Dic43⋊C4—41no—
500Dic43⋊C4—41no—
501Dic43⋊C4—41no—
502Dic43⋊C4—41no—
503Dic43⋊C4—41no—
504Dic43⋊C4—41no—
505Dic43⋊C4—41no—
506Dic43⋊C4—41no—
507Dic43⋊C4—41no—
508Dic43⋊C4—41no—
509Dic43⋊C4—41no—
510Dic43⋊C4—41no—
511Dic43⋊C4—41no—
512Dic43⋊C4—41no—
513Dic43⋊C4—41no—
514Dic43⋊C4—41no—
515Dic43⋊C4—41no—
516Dic43⋊C4—41no—
517Dic43⋊C4—41no—
518C4×Dic43—22no—
519C4×Dic43—41no—
520C4×Dic43—41no—
521C4×Dic43—41no—
522C4×Dic43—41no—
523C23×C43—21no—
524C23×C43—21no—
525C23×C43—21no—
526C23×C43—21no—
527C23×C43—21no—
528C23×C43—21no—
529C23×C43—21no—
530C23×C43—21no—
531C23×C43—21no—
532C23×C43—21no—
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×C43C2×#4112yes—
542C23×C43H(5,𝔽2)12yes—
543C23×C43H(5,𝔽2)12yes—
544C23×C43C2511yescharacteristic
545C22×D43—21no—
546C22×D43—21no—
547C22×D43—21no—
548C22×D43—21no—
549C22×D43—21no—
550C22×D43—21no—
551C22×D43—21no—
552D4×C43—44no—
553D4×C43—44no—
554D4×C43—82no—
555C2×C4×C43—21no—
556C2×C4×C43—21no—
557C2×C4×C43—21no—
558C2×C4×C43—21no—
559C2×C4×C43—21no—
560C2×C4×C43—21no—
561C2×C4×C43—21no—
562C2×C4×C43—21no—
563C2×C4×C43—21no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—21no—
574C2×C4×C43—21no—
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—44no—
591C2×C4×C43—44no—
592C2×C4×C43—44no—
593C2×C4×C432−1+412yes—
594C22⋊D43—44no—
595C22⋊D43—82no—
596C22⋊D43—82no—
597C2×Dic43—21no—
598C2×Dic43—21no—
599C2×Dic43—21no—
600C2×Dic43—21no—
601C2×Dic43—21no—
602C2×Dic43—21no—
603C2×Dic43—21no—
604C2×Dic43—21no—
605C2×Dic43—21no—
606C2×Dic43—21no—
607C2×Dic43—21no—
608C2×Dic43—21no—
609C2×Dic43—21no—
610C2×Dic43—21no—
611C2×Dic43—21no—
612C2×Dic43—21no—
613C2×Dic43—21no—
614C2×Dic43—21no—
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—44no—
641C2×Dic43—44no—
642C2×Dic43—82no—
643C2×Dic43—82no—
644C2×Dic43—82no—
645C2×Dic43—82no—
646C2×Dic43C2×#4112yes—
647C2×Dic43C2×#4112yes—
648C4×D43—82no—
649#37000—431nomaximal, Sylow
650C22×C43—22no—
651C22×C43—22no—
652C22×C43—22no—
653C22×C43—22no—
654C22×C43—22no—
655C22×C43—22no—
656C22×C43—41no—
657C22×C43—41no—
658C22×C43—41no—
659C22×C43—41no—
660C22×C43—41no—
661C22×C43—41no—
662C22×C43—41no—
663C22×C43—41no—
664C22×C43—41no—
665C22×C43—41no—
666C22×C43—41no—
667C22×C43—41no—
668C22×C43—41no—
669C22×C43—41no—
670C22×C43#54014yes—
671C22×C43C22×#4111yescharacteristic
672C22×C43C2×H(5,𝔽2)11yescharacteristic
673C22×C43C2×H(5,𝔽2)11yescharacteristic
674C22×C43C2×2−1+411yescharacteristic
675C22×C43#58511yescharacteristic
676C22×C43#58511yescharacteristic
677C22×C43#58511yescharacteristic
678C2×D43—41no—
679C2×D43—41no—
680C2×D43—41no—
681C2×D43—41no—
682C2×D43—41no—
683C2×D43—41no—
684C2×D43—41no—
685C4×C43—22no—
686C4×C43—41no—
687C4×C43—41no—
688C4×C43—41no—
689C4×C43—41no—
690C4×C43—41no—
691C4×C43—41no—
692C4×C43—41no—
693C4×C43—41no—
694C4×C43—41no—
695C4×C43—41no—
696C4×C43—41no—
697Dic43—22no—
698Dic43—22no—
699Dic43—41no—
700Dic43—41no—
701Dic43—41no—
702Dic43—41no—
703Dic43—41no—
704Dic43—41no—
705Dic43—41no—
706Dic43—41no—
707Dic43—41no—
708Dic43—41no—
709Dic43—41no—
710Dic43—41no—
711Dic43—41no—
712#2854D4311yescharacteristic, complemented
713#2853—431no—
714#2797—431no—
715#2793—431no—
716#2793—431no—
717#2791—431no—
718#2791—431no—
719#2786—431no—
720#2777—431no—
721#2773—431no—
722#2768—431no—
723#2752—431no—
724#2748—431no—
725#2743—431no—
726#2741—431no—
727#2740—431no—
728#2740—431no—
729#2738—431no—
730#2623—431no—
731#2618—431no—
732#2569—431no—
733#2543—431no—
734#2501—431no—
735#2486—431no—
736#2425—431no—
737#2425—431no—
738#2419—431no—
739#2419—431no—
740#2325—431no—
741#2318—431no—
742C2×#387—431no—
743C2×C43—24no—
744C2×C43—81no—
745C2×C43—81no—
746C2×C43C2×#54011yescharacteristic
747C2×C43#349111yescharacteristic
748C2×C43#350711yescharacteristic
749C2×C43#353311yescharacteristic
750C2×C43#353511yescharacteristic
751C2×C43#355911yescharacteristic
752C2×C43#356011yescharacteristic
753D43—81no—
754C2×#123—431no—
755C2×#123—431no—
756C2×#123—431no—
757C2×#123—431no—
758C2×#123C2×D4311yescharacteristic
759C2×#123C2×D4311yescharacteristic
760C2×#121—431no—
761C2×#121—431no—
762C2×#121C2×D4311yescharacteristic
763C2×C4×D4—431no—
764C2×C4×D4—431no—
765C2×C4×D4—431no—
766C22×C4⋊C4—431no—
767C22×C4⋊C4—431no—
768C22×C42C2×D4311yescharacteristic
769#400—431no—
770#400—431no—
771#400—431no—
772#400—431no—
773#400—431no—
774#400—431no—
775#399—431no—
776#399—431no—
777#399—431no—
778#399—431no—
779#399—431no—
780#399—431no—
781#398—431no—
782#398—431no—
783#398—431no—
784#398—431no—
785#398—431no—
786#398—431no—
787#398—431no—
788#398—431no—
789#398—431no—
790#398—431no—
791#398—431no—
792#398—431no—
793#398—431no—
794#397—431no—
795#397—431no—
796#397—431no—
797#397—431no—
798#397—431no—
799#397—431no—
800#397—431no—
801#397—431no—
802#397—431no—
803#397—431no—
804#397—431no—
805#396—431no—
806#396—431no—
807#396—431no—
808#396—431no—
809#396—431no—
810#396—431no—
811#394—431no—
812#394—431no—
813#394—431no—
814#394—431no—
815#394—431no—
816#392—431no—
817#390—431no—
818#390—431no—
819#390C2×D4311yescharacteristic
820#390C2×D4311yescharacteristic
821#389—431no—
822#389—431no—
823#389—431no—
824#389—431no—
825#389C2×D4311yescharacteristic
826#389C2×D4311yescharacteristic
827#388—431no—
828#388—431no—
829#388—431no—
830#388—431no—
831#388—431no—
832#388—431no—
833#388—431no—
834#388—431no—
835#388—431no—
836#388—431no—
837#388—431no—
838#388—431no—
839#388C2×D4311yescharacteristic
840#388C2×D4311yescharacteristic
841#388C2×D4311yescharacteristic
842#388C2×D4311yescharacteristic
843#387—431no—
844#387—431no—
845#387—431no—
846#387—431no—
847#387—431no—
848#387—431no—
849#387—431no—
850#387—431no—
851#387—431no—
852#387—431no—
853#387—431no—
854#387—431no—
855#387—431no—
856#387—431no—
857#387—431no—
858#387—431no—
859#387—431no—
860#387—431no—
861#387—431no—
862#387—431no—
863#387—431no—
864#387—431no—
865#387—431no—
866#387—431no—
867#386—431no—
868#386—431no—
869#386—431no—
870#386—431no—
871#386—431no—
872#386—431no—
873#386—431no—
874#386—431no—
875#386—431no—
876#386—431no—
877#386C2×D4311yescharacteristic
878#386C2×D4311yescharacteristic
879#385—431no—
880#385—431no—
881#385—431no—
882#385—431no—
883#385—431no—
884#385—431no—
885#385—431no—
886#385—431no—
887#384—431no—
888#384—431no—
889#383—431no—
890#382—431no—
891#381—431no—
892#381—431no—
893#381—431no—
894#381—431no—
895#381—431no—
896#380—431no—
897#380—431no—
898#380—431no—
899#380—431no—
900#380—431no—
901#380—431no—
902#380—431no—
903#380C2×D4311yescharacteristic
904C4×C22⋊C4—431no—
905C2×#95—431no—
906C2×#95—431no—
907C2×#95—431no—
908C2×#95—431no—
909C43#3700011yescharacteristic, complemented, Sylow
910C22×D4—431no—
911C22×D4—431no—
912C22×D4—431no—
913C22×D4C22×D4311yescharacteristic
914C22×D4C22×D4311yescharacteristic
915C22×D4C22×D4311yescharacteristic
916C23×C4—431no—
917C23×C4—431no—
918C23×C4—431no—
919C23×C4—431no—
920C23×C4—431no—
921C23×C4—431no—
922C23×C4—431no—
923C23×C4C22×D4311yescharacteristic
924C23×C4C22×D4311yescharacteristic
925C23×C4C22×D4311yescharacteristic
926#123—42no—
927#123—42no—
928#123—1722no—
929#123—1722no—
930#123—1722no—
931#123—1722no—
932#121—42no—
933#121—864no—
934#121—1722no—
935C4×D4—864no—
936C4×D4—1722no—
937C4×D4—1722no—
938C2×C4⋊C4—431no—
939C2×C4⋊C4—431no—
940C2×C4⋊C4—431no—
941C2×C4⋊C4—431no—
942C2×C4⋊C4—431no—
943C2×C4⋊C4—431no—
944C2×C4⋊C4—431no—
945C2×C4⋊C4—431no—
946C2×C4⋊C4—431no—
947C2×C4⋊C4—431no—
948C2×C4⋊C4—431no—
949C2×C4⋊C4—431no—
950C2×C4⋊C4—431no—
951C2×C4⋊C4—431no—
952C2×C4⋊C4—431no—
953C2×C4⋊C4—431no—
954C2×C4⋊C4—431no—
955C2×C4⋊C4—431no—
956C2×C4⋊C4—431no—
957C2×C4⋊C4—431no—
958C2×C4⋊C4—431no—
959C2×C4⋊C4—431no—
960C2×C4⋊C4—431no—
961C2×C4⋊C4—431no—
962C2×C4⋊C4—431no—
963C2×C4⋊C4—431no—
964C2×C4⋊C4—431no—
965C2×C4⋊C4—431no—
966C2×C4⋊C4—431no—
967C2×C4⋊C4—431no—
968C2×C4⋊C4—431no—
969C2×C4⋊C4—431no—
970C2×C4⋊C4—431no—
971C2×C4⋊C4—864no—
972C2×C4⋊C4—1722no—
973C2×C4⋊C4C22×D4311yescharacteristic
974C2×C4⋊C4C22×D4311yescharacteristic
975C2×C4⋊C4C22×D4311yescharacteristic
976C2×C4⋊C4C22×D4311yescharacteristic
977C2×C4⋊C4C22×D4311yescharacteristic
978C2×C4⋊C4C22×D4311yescharacteristic
979C2×C4⋊C4C22×D4311yescharacteristic
980C2×C22⋊C4—431no—
981C2×C22⋊C4—431no—
982C2×C22⋊C4—431no—
983C2×C22⋊C4—431no—
984C2×C22⋊C4—431no—
985C2×C22⋊C4—431no—
986C2×C22⋊C4—431no—
987C2×C22⋊C4—431no—
988C2×C22⋊C4—431no—
989C2×C22⋊C4—431no—
990C2×C22⋊C4—431no—
991C2×C22⋊C4—431no—
992C2×C22⋊C4—431no—
993C2×C22⋊C4—431no—
994C2×C22⋊C4—431no—
995C2×C22⋊C4—431no—
996C2×C22⋊C4—431no—
997C2×C22⋊C4—431no—
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⋊C4C22×D4311yescharacteristic
1007C2×C22⋊C4C22×D4311yescharacteristic
1008C2×C22⋊C4C22×D4311yescharacteristic
1009C2×C22⋊C4C22×D4311yescharacteristic
1010C2×C22⋊C4C22×D4311yescharacteristic
1011C2×C22⋊C4C22×D4311yescharacteristic
1012C2×C22⋊C4C22×D4311yescharacteristic
1013C2×C22⋊C4C22×D4311yescharacteristic
1014C2×C22⋊C4C22×D4311yescharacteristic
1015C2×C22⋊C4C22×D4311yescharacteristic
1016C2×C22⋊C4C22×D4311yescharacteristic
1017C2×C22⋊C4C22×D4311yescharacteristic
1018C2×C42—42no—
1019C2×C42—431no—
1020C2×C42—431no—
1021C2×C42—431no—
1022C2×C42—431no—
1023C2×C42—431no—
1024C2×C42C22×D4311yescharacteristic
1025C2×C42C22×D4311yescharacteristic
1026C2×C42C22×D4311yescharacteristic
1027C2×C42C22×D4311yescharacteristic
1028#95—431no—
1029#95—431no—
1030#95—431no—
1031#95—431no—
1032#95—431no—
1033#95—431no—
1034#95—431no—
1035#95—431no—
1036#95—431no—
1037#95—431no—
1038#95—431no—
1039#95—431no—
1040#95—431no—
1041#95—431no—
1042#95—431no—
1043#95—431no—
1044#95—431no—
1045#95—431no—
1046#95—431no—
1047#95—431no—
1048#95—431no—
1049#95—431no—
1050#95—431no—
1051#95—431no—
1052#95—431no—
1053#95—431no—
1054#95—431no—
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#95C22×D4311yescharacteristic
1075#95C22×D4311yescharacteristic
1076#95C22×D4311yescharacteristic
1077#95C22×D4311yescharacteristic
1078#95C22×D4311yescharacteristic
1079#95C22×D4311yescharacteristic
1080C24—431no—
1081C24C23×D4311yescharacteristic
1082C24C23×D4311yescharacteristic
1083C24C23×D4311yescharacteristic
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—22no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—862no—
1094C2×D4—862no—
1095C2×D4—862no—
1096C2×D4—862no—
1097C2×D4—1721no—
1098C2×D4—1721no—
1099C2×D4—1721no—
1100C2×D4—1721no—
1101C2×D4—1721no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—431no—
1112C22×C4—431no—
1113C22×C4—434no—
1114C22×C4—431no—
1115C22×C4—431no—
1116C22×C4—431no—
1117C22×C4—431no—
1118C22×C4—431no—
1119C22×C4—431no—
1120C22×C4—431no—
1121C22×C4—431no—
1122C22×C4—431no—
1123C22×C4—431no—
1124C22×C4—431no—
1125C22×C4—431no—
1126C22×C4—431no—
1127C22×C4—862no—
1128C22×C4—862no—
1129C22×C4—862no—
1130C22×C4—862no—
1131C22×C4—862no—
1132C22×C4—862no—
1133C22×C4—1721no—
1134C22×C4—1721no—
1135C22×C4—1721no—
1136C22×C4—1721no—
1137C22×C4—1721no—
1138C22×C4—1721no—
1139C22×C4—1721no—
1140C22×C4—1721no—
1141C22×C4—1721no—
1142C22×C4—1721no—
1143C22×C4—1721no—
1144C22×C4—1721no—
1145C22×C4—1721no—
1146C22×C4—1721no—
1147C22×C4C23×D4311yescharacteristic
1148C22×C4C23×D4311yescharacteristic
1149C22×C4C23×D4311yescharacteristic
1150C22×C4C23×D4311yescharacteristic
1151C22×C4C23×D4311yescharacteristic
1152C22×C4C23×D4311yescharacteristic
1153C22×C4C23×D4311yescharacteristic
1154C22×C4C23×D4311yescharacteristic
1155C22×C4C23×D4311yescharacteristic
1156C22×C4C23×D4311yescharacteristic
1157C22×C4C23×D4311yescharacteristic
1158C22×C4C23×D4311yescharacteristic
1159C4⋊C4—22no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—862no—
1167C4⋊C4—862no—
1168C4⋊C4—862no—
1169C4⋊C4—862no—
1170C4⋊C4—862no—
1171C4⋊C4—862no—
1172C4⋊C4—862no—
1173C4⋊C4—1721no—
1174C4⋊C4—1721no—
1175C4⋊C4—1721no—
1176C4⋊C4—1721no—
1177C4⋊C4—1721no—
1178C4⋊C4—1721no—
1179C4⋊C4—1721no—
1180C4⋊C4—1721no—
1181C4⋊C4—1721no—
1182C4⋊C4—1721no—
1183C4⋊C4—1721no—
1184C4⋊C4—1721no—
1185C4⋊C4—1721no—
1186C4⋊C4—1721no—
1187C4⋊C4—1721no—
1188C4⋊C4—1721no—
1189C4⋊C4—1721no—
1190C4⋊C4—1721no—
1191C4⋊C4—1721no—
1192C4⋊C4—1721no—
1193C4⋊C4—1721no—
1194C4⋊C4—1721no—
1195C4⋊C4—1721no—
1196C4⋊C4—1721no—
1197C4⋊C4—1721no—
1198C4⋊C4—1721no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—862no—
1212C22⋊C4—862no—
1213C22⋊C4—862no—
1214C22⋊C4—862no—
1215C22⋊C4—862no—
1216C22⋊C4—862no—
1217C22⋊C4—862no—
1218C22⋊C4—1721no—
1219C22⋊C4—1721no—
1220C22⋊C4—1721no—
1221C22⋊C4—1721no—
1222C22⋊C4—1721no—
1223C22⋊C4—1721no—
1224C22⋊C4—1721no—
1225C22⋊C4—1721no—
1226C22⋊C4—1721no—
1227C22⋊C4—1721no—
1228C22⋊C4—1721no—
1229C22⋊C4—1721no—
1230C22⋊C4—1721no—
1231C22⋊C4—1721no—
1232C22⋊C4—1721no—
1233C22⋊C4—1721no—
1234C22⋊C4—1721no—
1235C22⋊C4—1721no—
1236C22⋊C4—1721no—
1237C42—41no—
1238C42—41no—
1239C42—41no—
1240C42—41no—
1241C42—862no—
1242C42—1721no—
1243C42—1721no—
1244C42—1721no—
1245C42—1721no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—861no—
1265C23—861no—
1266C23—861no—
1267C23—861no—
1268C23—861no—
1269C23—861no—
1270C23—861no—
1271C23#41×D4312yes—
1272C23#1306337012yes—
1273C23#1306337012yes—
1274C23C24×D4311yescharacteristic
1275D4—44no—
1276D4—44no—
1277D4—82no—
1278D4—3442no—
1279D4—3442no—
1280D4—1724no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—432no—
1320C2×C4—432no—
1321C2×C4—861no—
1322C2×C4—861no—
1323C2×C4—861no—
1324C2×C4—861no—
1325C2×C4—861no—
1326C2×C4—861no—
1327C2×C4—861no—
1328C2×C4—861no—
1329C2×C4—861no—
1330C2×C4—861no—
1331C2×C4—861no—
1332C2×C4—861no—
1333C2×C4—861no—
1334C2×C4—861no—
1335C2×C4—861no—
1336C2×C4—861no—
1337C2×C4—861no—
1338C2×C4—861no—
1339C2×C4—861no—
1340C2×C4—861no—
1341C2×C4—861no—
1342C2×C4—861no—
1343C2×C4—861no—
1344C2×C4—861no—
1345C2×C4—861no—
1346C2×C4—861no—
1347C2×C4—861no—
1348C2×C4—861no—
1349C2×C4—861no—
1350C2×C4—861no—
1351C2×C4—861no—
1352C2×C4—861no—
1353C2×C4—861no—
1354C2×C4—861no—
1355C2×C4—861no—
1356C2×C4—861no—
1357C2×C4—861no—
1358C2×C4—861no—
1359C2×C4—861no—
1360C2×C4—861no—
1361C2×C4—861no—
1362C2×C4—861no—
1363C2×C4—861no—
1364C2×C4—3442no—
1365C2×C4—3442no—
1366C2×C4—3442no—
1367C2×C4—3442no—
1368C2×C4—3442no—
1369C2×C4—1724no—
1370C2×C4—1724no—
1371C2×C4#1306337212yes—
1372C22—22no—
1373C22—22no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—1721no—
1393C22—1721no—
1394C22—1721no—
1395C22—1721no—
1396C22—1721no—
1397C22—1721no—
1398C22—1721no—
1399C22#1458349914yes—
1400C22C2×#41×D4311yescharacteristic
1401C22C2×#1306337011yescharacteristic
1402C22C2×#1306337011yescharacteristic
1403C22C2×#1306337211yescharacteristic
1404C22#1458373511yescharacteristic
1405C22#1458373511yescharacteristic
1406C22#1458373511yescharacteristic
1407C4—22no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—862no—
1420C4—862no—
1421C4—1721no—
1422C4—1721no—
1423C4—1721no—
1424C4—1721no—
1425C4—1721no—
1426C4—1721no—
1427C4—1721no—
1428C4—1721no—
1429C4—1721no—
1430C4—1721no—
1431C4—1721no—
1432C4—1721no—
1433C4—1721no—
1434C2—24no—
1435C2—81no—
1436C2—81no—
1437C2—3441no—
1438C2C2×#1458349911yescharacteristic
1439C2#1914828711yescharacteristic
1440C2#1914845111yescharacteristic
1441C2#1914875911yescharacteristic
1442C2#1914880811yescharacteristic
1443C2#1914913311yescharacteristic
1444C2#1914915111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2854C2
prime radical#19139553C2
hypercenter#2854D43
hypocenterC43#37000
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2854

Complements

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

NH ≅ G/Ntype
1. #19142917C2semidirect
2. #19142449C2semidirect
3. #19142401C2semidirect
4. #19142398C2semidirect
5. #19142375C2semidirect
6. #19142374C2semidirect
7. #19142312C2semidirect
8. #19142199C2semidirect
9. #19142141C2semidirect
10. #19142078C2semidirect
11. #19141857C2semidirect
12. #19141808C2semidirect
13. #19141728C2semidirect
14. #19141707C2semidirect
15. #19141698C2semidirect
16. #19141693C2semidirect
17. #19141663C2semidirect
18. #19140379C2semidirect
19. #19140343C2semidirect
20. #19139816C2semidirect
22. #19139064C2semidirect
23. #19138900C2semidirect
24. #19138152C2semidirect
25. #19138142C2semidirect
26. #19138078C2semidirect
27. #19138068C2semidirect
28. #19137296C2semidirect
29. #19137221C2semidirect
30. C2×#14582783C2semidirect
31. C43×#2854C2semidirect
712. #2854D43semidirect
909. C43#37000semidirect

Maximal subgroups

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

subgroupindex
#191429172
#191424492
#191424012
#191423982
#191423752
#191423742
#191423122
#191421992
#191421412
#191420782
#191418572
#191418082
#191417282
#191417072
#191416982
#191416932
#191416632
#191403792
#191403432
#191398162
#191395532
#191390642
#191389002
#191381522
#191381422
#191380782
#191380682
#191372962
#191372212
C2×#145827832
C43×#28542
#3700043