Finite Group Databasebeta

← #25305467

Subgroups — #25305467

Order 11008.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142887C211yesmaximal, characteristic, complemented
2#19142433C211yesmaximal, characteristic, complemented
3#19141986C211yesmaximal, characteristic, complemented
4#19141935C211yesmaximal, characteristic, complemented
5#19141852C211yesmaximal, characteristic, complemented
6#19141646C211yesmaximal, characteristic, complemented
7#19141586C211yesmaximal, characteristic, complemented
8#19141508C211yesmaximal, characteristic, complemented
9#19141403C211yesmaximal, characteristic, complemented
10#19141363C211yesmaximal, characteristic, complemented
11#19141341C211yesmaximal, characteristic, complemented
12#19141268C211yesmaximal, characteristic, complemented
13#19141209C211yesmaximal, characteristic, complemented
14#19141189C211yesmaximal, characteristic, complemented
15#19141074C211yesmaximal, characteristic, complemented
16#19140998C211yesmaximal, characteristic, complemented
17#19140842C211yesmaximal, characteristic, complemented
18#19140406C211yesmaximal, characteristic, complemented
19#19140373C211yesmaximal, characteristic, complemented
20#19139773C211yesmaximal, characteristic, complemented
21#19139603C211yesmaximal, characteristic, complemented
22#19138846C211yesmaximal, characteristic, complemented
23#19138840C211yesmaximal, characteristic, complemented
24#19138728C211yesmaximal, characteristic, complemented
25#19138718C211yesmaximal, characteristic, complemented
26#19138244C211yesmaximal, characteristic, complemented
27#19137950C211yesmaximal, characteristic
28#19137326C211yesmaximal, characteristic, complemented
29#19137223C211yesmaximal, characteristic, complemented
30C2×#14582778C211yesmaximal, characteristic, complemented
31C43×#2848C211yesmaximal, characteristic, complemented
32C23×C22⋊D43C2211yescharacteristic
33C2×#13063320C2211yescharacteristic, complemented
34C2×#13063318C2211yescharacteristic, complemented
35C2×#13063314C2211yescharacteristic, complemented
36C2×#13063311C2211yescharacteristic
37C2×#13063311C2211yescharacteristic
38C2×#13063311C2211yescharacteristic, complemented
39C2×#13063308C2211yescharacteristic, complemented
40C2×#13063308C2211yescharacteristic, complemented
41C2×#13063302C2211yescharacteristic
42C2×#13063302C2211yescharacteristic
43C2×#13063298C2211yescharacteristic
44C2×#13063298C2211yescharacteristic
45C2×#13063295C2211yescharacteristic
46C2×#13063294C2211yescharacteristic
47C2×(C22⋊D43)⋊C4C2211yescharacteristic
48C22×C22⋊Dic43C2211yescharacteristic
49C22×(C2×D43)⋊C4C2211yescharacteristic
50C22×(C2×D43)⋊C4C2211yescharacteristic
51#14582840C2211yescharacteristic, complemented
52#14582834C2211yescharacteristic, complemented
53#14582834C2211yescharacteristic, complemented
54#14582834C2211yescharacteristic, complemented
55#14582830C2211yescharacteristic, complemented
56#14582829C2211yescharacteristic, complemented
57#14582828C2211yescharacteristic, complemented
58#14582828C2211yescharacteristic, complemented
59#14582828C2211yescharacteristic, complemented
60#14582827C2211yescharacteristic, complemented
61#14582827C2211yescharacteristic, complemented
62#14582827C2211yescharacteristic, complemented
63#14582826C2211yescharacteristic, complemented
64#14582825C2211yescharacteristic, complemented
65#14582825C2211yescharacteristic, complemented
66#14582825C2211yescharacteristic, complemented
67#14582825C2211yescharacteristic, complemented
68#14582824C2211yescharacteristic, complemented
69#14582823C2211yescharacteristic, complemented
70#14582823C2211yescharacteristic, complemented
71#14582822C2211yescharacteristic, complemented
72#14582821C2211yescharacteristic, complemented
73#14582821C2211yescharacteristic, complemented
74#14582821C2211yescharacteristic, complemented
75#14582819C2211yescharacteristic, complemented
76#14582819C2211yescharacteristic, complemented
77#14582818C2211yescharacteristic, complemented
78#14582817C2211yescharacteristic, complemented
79#14582817C2211yescharacteristic, complemented
80#14582816C2211yescharacteristic, complemented
81#14582816C2211yescharacteristic, complemented
82#14582816C2211yescharacteristic, complemented
83#14582816C2211yescharacteristic, complemented
84#14582815C2211yescharacteristic
85#14582815C2211yescharacteristic
86#14582815C2211yescharacteristic, complemented
87#14582814C2211yescharacteristic
88#14582814C2211yescharacteristic
89#14582814C2211yescharacteristic
90#14582814C2211yescharacteristic
91#14582814C2211yescharacteristic, complemented
92#14582812C2211yescharacteristic, complemented
93#14582812C2211yescharacteristic, complemented
94#14582812C2211yescharacteristic, complemented
95#14582811C2211yescharacteristic, complemented
96#14582810C2211yescharacteristic, complemented
97#14582808C2211yescharacteristic
98#14582808C2211yescharacteristic
99#14582806C2211yescharacteristic, complemented
100#14582804C2211yescharacteristic, complemented
101#14582804C2211yescharacteristic, complemented
102#14582803C2211yescharacteristic, complemented
103#14582800C2211yescharacteristic, complemented
104#14582799C2211yescharacteristic
105#14582799C2211yescharacteristic
106#14582799C2211yescharacteristic
107#14582799C2211yescharacteristic
108#14582799C2211yescharacteristic, complemented
109#14582795C2211yescharacteristic, complemented
110#14582794C2211yescharacteristic, complemented
111#14582794C2211yescharacteristic, complemented
112#14582794C2211yescharacteristic, complemented
113#14582793C2211yescharacteristic, complemented
114#14582792C2211yescharacteristic, complemented
115#14582792C2211yescharacteristic, complemented
116#14582791C2211yescharacteristic, complemented
117#14582791C2211yescharacteristic, complemented
118#14582789C2211yescharacteristic, complemented
119#14582789C2211yescharacteristic, complemented
120#14582789C2211yescharacteristic, complemented
121#14582789C2211yescharacteristic, complemented
122#14582788C2211yescharacteristic, complemented
123#14582787C2211yescharacteristic, complemented
124#14582787C2211yescharacteristic, complemented
125#14582786C2211yescharacteristic, complemented
126#14582785C2211yescharacteristic, complemented
127#14582784C2211yescharacteristic, complemented
128#14582781C2211yescharacteristic, complemented
129#14582781C2211yescharacteristic, complemented
130#14582781C2211yescharacteristic, complemented
131#14582780C2211yescharacteristic, complemented
132#14582780C2211yescharacteristic, complemented
133#14582778C2211yescharacteristic
134#14582778C2211yescharacteristic
135#14582778C2211yescharacteristic
136#14582778C2211yescharacteristic
137#14582778C2211yescharacteristic
138#14582778C2211yescharacteristic
139#14582778C2211yescharacteristic
140#14582778C2211yescharacteristic
141#14582778C2211yescharacteristic
142#14582778C2211yescharacteristic
143#14582778C2211yescharacteristic, complemented
144#14582778C2211yescharacteristic, complemented
145#14582776C2211yescharacteristic
146#14582776C2211yescharacteristic
147#14582774C2211yescharacteristic
148#14582773C2211yescharacteristic, complemented
149#14582772C2211yescharacteristic
150#14582772C2211yescharacteristic
151#14582772C2211yescharacteristic, complemented
152#14582772C2211yescharacteristic, complemented
153#14582771C2211yescharacteristic
154#14582770C2211yescharacteristic, complemented
155#14582766C2211yescharacteristic, complemented
156#14582764C2211yescharacteristic, complemented
157#14582762C2211yescharacteristic, complemented
158#14582762C2211yescharacteristic, complemented
159#14582761C2211yescharacteristic, complemented
160#14582757C2211yescharacteristic
161#14582757C2211yescharacteristic
162#14582756C2211yescharacteristic, complemented
163#14582755C2211yescharacteristic
164#14582754C2211yescharacteristic
165#14582754C2211yescharacteristic
166#14582754C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic
168C22⋊C4×Dic43C2211yescharacteristic
169C22⋊C4×Dic43C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C24×C4×C43C2211yescharacteristic
173C2×C22⋊Q8×C43C2211yescharacteristic
174C2×C22⋊Q8×C43C2211yescharacteristic, complemented
175C2×C22⋊Q8×C43C2211yescharacteristic, complemented
176C43×#385C2211yescharacteristic
177C43×#385C2211yescharacteristic
178C43×#385C2211yescharacteristic, complemented
179C43×#385C2211yescharacteristic, complemented
180C43×#385C2211yescharacteristic, complemented
181C43×#385C2211yescharacteristic, complemented
182C43×#380C2211yescharacteristic
183C43×#380C2211yescharacteristic, complemented
184C43×#380C2211yescharacteristic, complemented
185C43×#379C2211yescharacteristic
186C43×#379C2211yescharacteristic
187C24×D43C2311yescharacteristic
188C22×Dic86C2311yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×C22⋊D43—24no—
193C22×C22⋊D43—42no—
194C22×C22⋊D43—42no—
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206#13063320—42no—
207#13063318—42no—
208#13063314—42no—
209#13063311—42no—
210#13063311—42no—
211#13063311—42no—
212#13063308—42no—
213#13063308—42no—
214#13063302—24no—
215#13063302—42no—
216#13063298—42no—
217#13063298—42no—
218#13063295—42no—
219#13063294—42no—
220(C22⋊D43)⋊C4—24no—
221C2×C4⋊Dic43C2311yescharacteristic
222C2×C4⋊Dic43C2311yescharacteristic
223C2×C4⋊Dic43C2311yescharacteristic
224C2×C4⋊Dic43C2311yescharacteristic
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×C22⋊Dic43—42no—
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×(C2×D43)⋊C4—42no—
255C2×(C2×D43)⋊C4—42no—
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×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×C4×Dic43C2311yescharacteristic
288C2×C4×Dic43C2311yescharacteristic
289C2×C4×Dic43C2311yescharacteristic
290C2×C4×Dic43C2311yescharacteristic
291C2×C4×Dic43C2311yescharacteristic
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
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
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C25×C43C2311yescharacteristic
329C22×Q8×C43C2311yescharacteristic
330C23×C4×C43—42no—
331C23×C4×C43—42no—
332C23×C4×C43—42no—
333C23×C4×C43C2311yescharacteristic
334C23×C4×C43C2311yescharacteristic
335C23×C4×C43C2311yescharacteristic
336C23×C4×C43C2311yescharacteristic
337C23×C4×C43C2311yescharacteristic
338C23×C4×C43C2311yescharacteristic
339C22⋊Q8×C43—42no—
340C22⋊Q8×C43—42no—
341C22⋊Q8×C43—42no—
342C2×C4⋊C4×C43C2311yescharacteristic
343C2×C4⋊C4×C43C2311yescharacteristic
344C2×C4⋊C4×C43C2311yescharacteristic
345C2×C4⋊C4×C43C2311yescharacteristic
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43C2311yescharacteristic
349C2×C4⋊C4×C43C2311yescharacteristic
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369C24×C43—22no—
370C24×C43—22no—
371C24×C43—22no—
372C24×C43—22no—
373C24×C43—22no—
374C24×C43—41no—
375C24×C43—41no—
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C24×C43C2411yescharacteristic
379C23×D43—22no—
380C23×D43—22no—
381C23×D43—22no—
382C23×D43—41no—
383C23×D43—41no—
384C23×D43—41no—
385C23×D43—41no—
386C23×D43C2411yescharacteristic
387C23×D43C2411yescharacteristic
388C23×D43C2411yescharacteristic
389C2×Q8×C43—22no—
390C2×Q8×C43—41no—
391C2×Q8×C43—41no—
392C22×C4×C43—22no—
393C22×C4×C43—22no—
394C22×C4×C43—22no—
395C22×C4×C43—22no—
396C22×C4×C43—22no—
397C22×C4×C43—22no—
398C22×C4×C43—22no—
399C22×C4×C43—41no—
400C22×C4×C43—41no—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43—41no—
406C22×C4×C43—41no—
407C22×C4×C43—41no—
408C22×C4×C43—41no—
409C22×C4×C43—41no—
410C22×C4×C43—416no—
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—22no—
434C2×C22⋊D43—22no—
435C2×C22⋊D43—22no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C2×C22⋊D43—41no—
440C2×C22⋊D43—41no—
441C2×C22⋊D43—41no—
442C2×C22⋊D43—41no—
443C2×C22⋊D43—41no—
444C2×C22⋊D43—416no—
445C22×Dic43—22no—
446C22×Dic43—22no—
447C22×Dic43—41no—
448C22×Dic43—41no—
449C22×Dic43—41no—
450C22×Dic43—41no—
451C22×Dic43—41no—
452C22×Dic43—41no—
453C22×Dic43#4114yes—
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C22×Dic43C2411yescharacteristic
466C22×Dic43C2411yescharacteristic
467C2×D172—41no—
468C2×D172—41no—
469C2×D172—41no—
470C2×D172—41no—
471C2×D172—41no—
472C2×D172—41no—
473C2×C4×D43—22no—
474C2×C4×D43—41no—
475C2×C4×D43—41no—
476C2×Dic86—22no—
477C2×Dic86—41no—
478C2×Dic86—41no—
479C2×Dic86—41no—
480C2×Dic86—41no—
481C2×Dic86—41no—
482C4⋊C4×C43—22no—
483C4⋊C4×C43—41no—
484C4⋊C4×C43—41no—
485C4⋊C4×C43—41no—
486C4⋊C4×C43—41no—
487C4⋊C4×C43—41no—
488C4⋊C4×C43—41no—
489C4⋊C4×C43—41no—
490C4⋊C4×C43—41no—
491C22⋊C4×C43—22no—
492C22⋊C4×C43—22no—
493C22⋊C4×C43—22no—
494C22⋊C4×C43—22no—
495C22⋊C4×C43—22no—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—41no—
500C22⋊C4×C43—41no—
501C22⋊C4×C43—41no—
502C22⋊C4×C43—41no—
503C22⋊Dic43—22no—
504C22⋊Dic43—22no—
505C22⋊Dic43—22no—
506C22⋊Dic43—22no—
507C22⋊Dic43—22no—
508C22⋊Dic43—22no—
509C22⋊Dic43—22no—
510C22⋊Dic43—41no—
511C22⋊Dic43—41no—
512C22⋊Dic43—41no—
513C22⋊Dic43—41no—
514C22⋊Dic43—41no—
515C22⋊Dic43—41no—
516(C2×D43)⋊C4—22no—
517(C2×D43)⋊C4—22no—
518(C2×D43)⋊C4—22no—
519(C2×D43)⋊C4—22no—
520(C2×D43)⋊C4—41no—
521(C2×D43)⋊C4—41no—
522(C2×D43)⋊C4—41no—
523(C2×D43)⋊C4—41no—
524(C2×D43)⋊C4—41no—
525(C2×D43)⋊C4—41no—
526(C2×D43)⋊C4—41no—
527(C2×D43)⋊C4—41no—
528(C2×D43)⋊C4—41no—
529(C2×D43)⋊C4—41no—
530(C2×D43)⋊C4—41no—
531(C2×D43)⋊C4—41no—
532(C2×D43)⋊C4—41no—
533(C2×D43)⋊C4—41no—
534(C2×D43)⋊C4—41no—
535(C2×D43)⋊C4—41no—
536(C2×D43)⋊C4—41no—
537(C2×D43)⋊C4—41no—
538(C2×D43)⋊C4—41no—
539(C2×D43)⋊C4—41no—
540(C2×D43)⋊C4—41no—
541(C2×D43)⋊C4—41no—
542(C2×D43)⋊C4—41no—
543(C2×D43)⋊C4—41no—
544(C2×D43)⋊C4—41no—
545(C2×D43)⋊C4—41no—
546(C2×D43)⋊C4—41no—
547C4⋊Dic43—22no—
548C4⋊Dic43—41no—
549C4⋊Dic43—41no—
550C4⋊Dic43—41no—
551Dic43⋊C4—22no—
552Dic43⋊C4—22no—
553Dic43⋊C4—22no—
554Dic43⋊C4—22no—
555Dic43⋊C4—41no—
556Dic43⋊C4—41no—
557Dic43⋊C4—41no—
558Dic43⋊C4—41no—
559Dic43⋊C4—41no—
560Dic43⋊C4—41no—
561Dic43⋊C4—41no—
562Dic43⋊C4—41no—
563Dic43⋊C4—41no—
564Dic43⋊C4—41no—
565Dic43⋊C4—41no—
566C4×Dic43—22no—
567C4×Dic43—41no—
568C4×Dic43—41no—
569C4×Dic43—41no—
570C4×Dic43—41no—
571C4×Dic43—41no—
572C4×Dic43—41no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—28no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—21no—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—44no—
591C23×C43—44no—
592C23×C43—44no—
593C23×C43—44no—
594C23×C43—44no—
595C23×C43—44no—
596C23×C43C2×#4112yes—
597C23×C43H(5,𝔽2)12yes—
598C23×C43H(5,𝔽2)12yes—
599C23×C43H(5,𝔽2)12yes—
600C23×C432−1+412yes—
601C23×C43C2511yescharacteristic
602C22×D43—21no—
603C22×D43—21no—
604C22×D43—21no—
605C22×D43—21no—
606C22×D43—21no—
607C22×D43—21no—
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—44no—
624C22×D43—44no—
625C22×D43—44no—
626C22×D43—82no—
627C22×D43—82no—
628C22×D43—82no—
629C22×D43—82no—
630Q8×C43—82no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—44no—
667C2×C4×C43—44no—
668C2×C4×C43—44no—
669C2×C4×C43—44no—
670C2×C4×C43—44no—
671C2×C4×C43—44no—
672C2×C4×C43H(5,𝔽2)12yes—
673C22⋊D43—44no—
674C22⋊D43—44no—
675C22⋊D43—44no—
676C22⋊D43—44no—
677C22⋊D43—44no—
678C22⋊D43—82no—
679C22⋊D43—82no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—44no—
718C2×Dic43—82no—
719C2×Dic43—82no—
720C2×Dic43C2×#4112yes—
721C2×Dic43C2×#4112yes—
722D172—82no—
723D172—82no—
724C4×D43—82no—
725Dic86—82no—
726Dic86—82no—
727#36793—431nomaximal, Sylow
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—22no—
736C22×C43—22no—
737C22×C43—22no—
738C22×C43—22no—
739C22×C43—22no—
740C22×C43—416no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43#54214yes—
750C22×C43C22×#4111yescharacteristic
751C22×C43C2×H(5,𝔽2)11yescharacteristic
752C22×C43C2×H(5,𝔽2)11yescharacteristic
753C22×C43C2×H(5,𝔽2)11yescharacteristic
754C22×C43C2×H(5,𝔽2)11yescharacteristic
755C22×C43C2×2−1+411yescharacteristic
756C22×C43#58511yescharacteristic
757C2×D43—41no—
758C2×D43—41no—
759C2×D43—41no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C2×D43—41no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—41no—
774C2×D43—41no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—88no—
779C4×C43—22no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791Dic43—22no—
792Dic43—22no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43—41no—
801Dic43—41no—
802Dic43—41no—
803Dic43—41no—
804#2849—431no—
805#2848D4311yescharacteristic, complemented
806#2796—431no—
807#2761—431no—
808#2757—431no—
809#2751—431no—
810#2737—431no—
811#2730—431no—
812#2723—431no—
813#2715—431no—
814#2712—431no—
815#2710—431no—
816#2705—431no—
817#2701—431no—
818#2700—431no—
819#2691—431no—
820#2686—431no—
821#2672—431no—
822#2626—431no—
823#2622—431no—
824#2564—431no—
825#2549—431no—
826#2480—431no—
827#2480—431no—
828#2472—431no—
829#2472—431no—
830#2435—431no—
831#2408—431no—
832#2329—431no—
833#2318—431no—
834C2×#386—431no—
835C2×C43—24no—
836C2×C43—42no—
837C2×C43—42no—
838C2×C43C2×#54211yescharacteristic
839C2×C43#349011yescharacteristic
840C2×C43#350611yescharacteristic
841C2×C43#353211yescharacteristic
842C2×C43#353411yescharacteristic
843C2×C43#353511yescharacteristic
844C2×C43#353611yescharacteristic
845D43—81no—
846D43—81no—
847D43—81no—
848C23×D4—431no—
849C24×C4C2×D4311yescharacteristic
850C2×#126—431no—
851C2×#126—431no—
852C2×#124—431no—
853C2×#124—431no—
854C2×#124—431no—
855C2×#124—431no—
856C2×#123—431no—
857C2×#123—431no—
858C2×C22⋊Q8—431no—
859C2×C22⋊Q8—431no—
860C2×C22⋊Q8C2×D4311yescharacteristic
861C2×C22⋊Q8C2×D4311yescharacteristic, complemented
862C2×C22⋊Q8C2×D4311yescharacteristic, complemented
863C2×#121—431no—
864C2×#121—431no—
865C2×#120—431no—
866C2×#120—431no—
867C2×C4×D4—431no—
868C22×C22⋊C4—431no—
869C22×C22⋊C4—431no—
870C22×C22⋊C4—431no—
871#400—431no—
872#399—431no—
873#399—431no—
874#399—431no—
875#398—431no—
876#398—431no—
877#397—431no—
878#397—431no—
879#397—431no—
880#397—431no—
881#397—431no—
882#397—431no—
883#397—431no—
884#397—431no—
885#397—431no—
886#397—431no—
887#397—431no—
888#397—431no—
889#396—431no—
890#396—431no—
891#396—431no—
892#396—431no—
893#396—431no—
894#396—431no—
895#395—431no—
896#395—431no—
897#395—431no—
898#394—431no—
899#394—431no—
900#394—431no—
901#394—431no—
902#394—431no—
903#394—431no—
904#394—431no—
905#394—431no—
906#394—431no—
907#394—431no—
908#394—431no—
909#394—431no—
910#394—431no—
911#394—431no—
912#393—431no—
913#393—431no—
914#393—431no—
915#393—431no—
916#393—431no—
917#392—431no—
918#392—431no—
919#391—431no—
920#391—431no—
921#391—431no—
922#391—431no—
923#390—431no—
924#390—431no—
925#390—431no—
926#390—431no—
927#390—431no—
928#390—431no—
929#389—431no—
930#389—431no—
931#389—431no—
932#389—431no—
933#388—431no—
934#388—431no—
935#388—431no—
936#388—431no—
937#388—431no—
938#388—431no—
939#388—431no—
940#388—431no—
941#388—431no—
942#388—431no—
943#388—431no—
944#388—431no—
945#387—431no—
946#387—431no—
947#387—431no—
948#387—431no—
949#387—431no—
950#387—431no—
951#387—431no—
952#387—431no—
953#386—431no—
954#386—431no—
955#386—431no—
956#386—431no—
957#386—431no—
958#386—431no—
959#386—431no—
960#386—431no—
961#386—431no—
962#386—431no—
963#386—431no—
964#386—431no—
965#386—431no—
966#386—431no—
967#385—431no—
968#385—431no—
969#385—431no—
970#385—431no—
971#385—431no—
972#385—431no—
973#385—431no—
974#385—431no—
975#385C2×D4311yescharacteristic
976#385C2×D4311yescharacteristic
977#385C2×D4311yescharacteristic, complemented
978#385C2×D4311yescharacteristic, complemented
979#385C2×D4311yescharacteristic, complemented
980#385C2×D4311yescharacteristic, complemented
981#383—431no—
982#382—431no—
983#381—431no—
984#381—431no—
985#381—431no—
986#380—431no—
987#380—431no—
988#380—431no—
989#380C2×D4311yescharacteristic
990#380C2×D4311yescharacteristic, complemented
991#380C2×D4311yescharacteristic, complemented
992#379—431no—
993#379—431no—
994#379—431no—
995#379—431no—
996#379C2×D4311yescharacteristic
997#379C2×D4311yescharacteristic
998C4×C22⋊C4—431no—
999C4×C22⋊C4—431no—
1000C4×C22⋊C4—431no—
1001C2×#95—431no—
1002C2×#95—431no—
1003C43#3679311yescharacteristic, complemented, Sylow
1004C25—431no—
1005C25C22×D4311yescharacteristic
1006C22×Q8—431no—
1007C22×Q8—431no—
1008C22×Q8C22×D4311yescharacteristic
1009C22×D4—431no—
1010C22×D4—431no—
1011C22×D4—431no—
1012C22×D4—431no—
1013C22×D4—431no—
1014C22×D4—431no—
1015C22×D4—431no—
1016C22×D4—431no—
1017C22×D4—431no—
1018C22×D4—864no—
1019C22×D4—1722no—
1020C22×D4—1722no—
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4—431no—
1025C23×C4—431no—
1026C23×C4—431no—
1027C23×C4—431no—
1028C23×C4C22×D4311yescharacteristic
1029C23×C4C22×D4311yescharacteristic
1030C23×C4C22×D4311yescharacteristic
1031C23×C4C22×D4311yescharacteristic
1032C23×C4C22×D4311yescharacteristic
1033C23×C4C22×D4311yescharacteristic
1034#126—1722no—
1035#126—1722no—
1036#124—1722no—
1037#124—1722no—
1038#124—1722no—
1039#124—1722no—
1040#123—1722no—
1041#123—1722no—
1042C22⋊Q8—42no—
1043C22⋊Q8—42no—
1044C22⋊Q8—42no—
1045C22⋊Q8—864no—
1046C22⋊Q8—1722no—
1047#121—1722no—
1048#121—1722no—
1049#120—1722no—
1050#120—1722no—
1051C4×D4—864no—
1052C2×C4⋊C4—431no—
1053C2×C4⋊C4—431no—
1054C2×C4⋊C4—431no—
1055C2×C4⋊C4—431no—
1056C2×C4⋊C4—431no—
1057C2×C4⋊C4—431no—
1058C2×C4⋊C4—431no—
1059C2×C4⋊C4—431no—
1060C2×C4⋊C4—431no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
1063C2×C4⋊C4—431no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4C22×D4311yescharacteristic
1072C2×C4⋊C4C22×D4311yescharacteristic
1073C2×C4⋊C4C22×D4311yescharacteristic
1074C2×C4⋊C4C22×D4311yescharacteristic
1075C2×C4⋊C4C22×D4311yescharacteristic
1076C2×C4⋊C4C22×D4311yescharacteristic
1077C2×C4⋊C4C22×D4311yescharacteristic
1078C2×C4⋊C4C22×D4311yescharacteristic
1079C2×C4⋊C4C22×D4311yescharacteristic
1080C2×C22⋊C4—431no—
1081C2×C22⋊C4—431no—
1082C2×C22⋊C4—431no—
1083C2×C22⋊C4—431no—
1084C2×C22⋊C4—431no—
1085C2×C22⋊C4—431no—
1086C2×C22⋊C4—431no—
1087C2×C22⋊C4—431no—
1088C2×C22⋊C4—431no—
1089C2×C22⋊C4—431no—
1090C2×C22⋊C4—431no—
1091C2×C22⋊C4—431no—
1092C2×C22⋊C4—431no—
1093C2×C22⋊C4—431no—
1094C2×C22⋊C4—431no—
1095C2×C22⋊C4—431no—
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—1722no—
1125C2×C22⋊C4—1722no—
1126C2×C22⋊C4—1722no—
1127C2×C22⋊C4C22×D4311yescharacteristic
1128C2×C22⋊C4C22×D4311yescharacteristic
1129C2×C22⋊C4C22×D4311yescharacteristic
1130C2×C22⋊C4C22×D4311yescharacteristic
1131C2×C22⋊C4C22×D4311yescharacteristic
1132C2×C22⋊C4C22×D4311yescharacteristic
1133C2×C22⋊C4C22×D4311yescharacteristic
1134C2×C22⋊C4C22×D4311yescharacteristic
1135C2×C22⋊C4C22×D4311yescharacteristic
1136C2×C22⋊C4C22×D4311yescharacteristic
1137C2×C22⋊C4C22×D4311yescharacteristic
1138C2×C22⋊C4C22×D4311yescharacteristic
1139C2×C42—431no—
1140C2×C42—431no—
1141C2×C42—431no—
1142C2×C42—431no—
1143C2×C42—431no—
1144C2×C42—431no—
1145C2×C42—431no—
1146#95—431no—
1147#95—431no—
1148#95—431no—
1149#95—431no—
1150#95—431no—
1151#95—431no—
1152#95—431no—
1153#95—431no—
1154#95—431no—
1155#95—431no—
1156#95—431no—
1157#95—431no—
1158#95—431no—
1159#95—431no—
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95C22×D4311yescharacteristic
1181#95C22×D4311yescharacteristic
1182#95C22×D4311yescharacteristic
1183#95C22×D4311yescharacteristic
1184#95C22×D4311yescharacteristic
1185#95C22×D4311yescharacteristic
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—431no—
1194C24—431no—
1195C24—431no—
1196C24—862no—
1197C24—862no—
1198C24—862no—
1199C24—1721no—
1200C24—1721no—
1201C24—1721no—
1202C24—1721no—
1203C24C23×D4311yescharacteristic
1204C24C23×D4311yescharacteristic
1205C24C23×D4311yescharacteristic
1206C2×Q8—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—862no—
1210C2×Q8—1721no—
1211C2×Q8—1721no—
1212C2×Q8—1721no—
1213C2×Q8—1721no—
1214C2×Q8—1721no—
1215C2×D4—862no—
1216C2×D4—862no—
1217C2×D4—862no—
1218C2×D4—862no—
1219C2×D4—862no—
1220C2×D4—862no—
1221C2×D4—862no—
1222C2×D4—862no—
1223C2×D4—862no—
1224C2×D4—862no—
1225C2×D4—862no—
1226C2×D4—862no—
1227C2×D4—862no—
1228C2×D4—1721no—
1229C2×D4—1721no—
1230C2×D4—1721no—
1231C2×D4—1721no—
1232C2×D4—1721no—
1233C2×D4—1721no—
1234C2×D4—1721no—
1235C2×D4—1721no—
1236C2×D4—1721no—
1237C2×D4—1721no—
1238C2×D4—1721no—
1239C2×D4—1721no—
1240C2×D4—1721no—
1241C2×D4—1721no—
1242C2×D4—17216no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—416no—
1262C22×C4—431no—
1263C22×C4—431no—
1264C22×C4—434no—
1265C22×C4—431no—
1266C22×C4—431no—
1267C22×C4—431no—
1268C22×C4—431no—
1269C22×C4—431no—
1270C22×C4—431no—
1271C22×C4—431no—
1272C22×C4—431no—
1273C22×C4—431no—
1274C22×C4—431no—
1275C22×C4—431no—
1276C22×C4—862no—
1277C22×C4—862no—
1278C22×C4—862no—
1279C22×C4—1721no—
1280C22×C4—1721no—
1281C22×C4—1721no—
1282C22×C4—1721no—
1283C22×C4—1721no—
1284C22×C4—1721no—
1285C22×C4—1721no—
1286C22×C4—1721no—
1287C22×C4C23×D4311yescharacteristic
1288C22×C4C23×D4311yescharacteristic
1289C22×C4C23×D4311yescharacteristic
1290C22×C4C23×D4311yescharacteristic
1291C22×C4C23×D4311yescharacteristic
1292C22×C4C23×D4311yescharacteristic
1293C22×C4C23×D4311yescharacteristic
1294C22×C4C23×D4311yescharacteristic
1295C22×C4C23×D4311yescharacteristic
1296C22×C4C23×D4311yescharacteristic
1297C22×C4C23×D4311yescharacteristic
1298C22×C4C23×D4311yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—862no—
1309C4⋊C4—862no—
1310C4⋊C4—862no—
1311C4⋊C4—862no—
1312C4⋊C4—862no—
1313C4⋊C4—1721no—
1314C4⋊C4—1721no—
1315C4⋊C4—1721no—
1316C4⋊C4—1721no—
1317C4⋊C4—1721no—
1318C4⋊C4—1721no—
1319C4⋊C4—1721no—
1320C4⋊C4—1721no—
1321C4⋊C4—1721no—
1322C4⋊C4—1721no—
1323C4⋊C4—1721no—
1324C4⋊C4—1721no—
1325C4⋊C4—1721no—
1326C4⋊C4—1721no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—862no—
1340C22⋊C4—862no—
1341C22⋊C4—862no—
1342C22⋊C4—862no—
1343C22⋊C4—862no—
1344C22⋊C4—862no—
1345C22⋊C4—862no—
1346C22⋊C4—862no—
1347C22⋊C4—862no—
1348C22⋊C4—862no—
1349C22⋊C4—862no—
1350C22⋊C4—1721no—
1351C22⋊C4—1721no—
1352C22⋊C4—1721no—
1353C22⋊C4—1721no—
1354C22⋊C4—1721no—
1355C22⋊C4—1721no—
1356C22⋊C4—1721no—
1357C22⋊C4—1721no—
1358C22⋊C4—1721no—
1359C22⋊C4—1721no—
1360C22⋊C4—1721no—
1361C22⋊C4—1721no—
1362C22⋊C4—1721no—
1363C22⋊C4—1721no—
1364C22⋊C4—1721no—
1365C22⋊C4—1721no—
1366C22⋊C4—1721no—
1367C22⋊C4—1721no—
1368C22⋊C4—1721no—
1369C22⋊C4—1721no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4—1721no—
1376C22⋊C4—1721no—
1377C22⋊C4—1721no—
1378C22⋊C4—1721no—
1379C22⋊C4—1721no—
1380C22⋊C4—1721no—
1381C22⋊C4—1721no—
1382C22⋊C4—1721no—
1383C42—862no—
1384C42—1721no—
1385C42—1721no—
1386C42—1721no—
1387C42—1721no—
1388C42—1721no—
1389C42—1721no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—861no—
1414C23—861no—
1415C23—861no—
1416C23—861no—
1417C23—861no—
1418C23—861no—
1419C23—861no—
1420C23—861no—
1421C23—861no—
1422C23—861no—
1423C23—861no—
1424C23—861no—
1425C23—861no—
1426C23—861no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—861no—
1431C23—861no—
1432C23—861no—
1433C23—861no—
1434C23—3442no—
1435C23—3442no—
1436C23—3442no—
1437C23—3442no—
1438C23—1724no—
1439C23—1724no—
1440C23—1724no—
1441C23#41×D4312yes—
1442C23#1306337012yes—
1443C23#1306337012yes—
1444C23#1306337112yes—
1445C23#1306337312yes—
1446C23C24×D4311yescharacteristic
1447Q8—82no—
1448Q8—3442no—
1449Q8—3442no—
1450D4—3442no—
1451D4—3442no—
1452D4—3442no—
1453D4—3442no—
1454D4—1724no—
1455D4—1724no—
1456D4—1724no—
1457D4—1724no—
1458D4—1724no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—432no—
1501C2×C4—432no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—3442no—
1540C2×C4—3442no—
1541C2×C4—3442no—
1542C2×C4—1724no—
1543C2×C4#1306337012yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—3448no—
1566C22—1721no—
1567C22—1721no—
1568C22—1721no—
1569C22—1721no—
1570C22—1721no—
1571C22—1721no—
1572C22—1721no—
1573C22—1721no—
1574C22—1721no—
1575C22—1721no—
1576C22—1721no—
1577C22—1721no—
1578C22—1721no—
1579C22—1721no—
1580C22—1721no—
1581C22—1721no—
1582C22—1721no—
1583C22—1721no—
1584C22—1721no—
1585C22—1721no—
1586C22—1721no—
1587C22#1458351914yes—
1588C22C2×#41×D4311yescharacteristic
1589C22C2×#1306337011yescharacteristic
1590C22C2×#1306337011yescharacteristic
1591C22C2×#1306337011yescharacteristic
1592C22C2×#1306337111yescharacteristic
1593C22C2×#1306337311yescharacteristic
1594C22#1458373511yescharacteristic
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—862no—
1608C4—862no—
1609C4—1721no—
1610C4—1721no—
1611C4—1721no—
1612C4—1721no—
1613C4—1721no—
1614C4—1721no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—3441no—
1624C2—3441no—
1625C2—3441no—
1626C2C2×#1458351911yescharacteristic
1627C2#1914827811yescharacteristic
1628C2#1914843811yescharacteristic
1629C2#1914875011yescharacteristic
1630C2#1914877911yescharacteristic
1631C2#1914880411yescharacteristic
1632C2#1914882411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2848C2
prime radical#19137950C2
hypercenter#2848D43
hypocenterC43#36793
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. #19142887C2semidirect
2. #19142433C2semidirect
3. #19141986C2semidirect
4. #19141935C2semidirect
5. #19141852C2semidirect
6. #19141646C2semidirect
7. #19141586C2semidirect
8. #19141508C2semidirect
9. #19141403C2semidirect
10. #19141363C2semidirect
11. #19141341C2semidirect
12. #19141268C2semidirect
13. #19141209C2semidirect
14. #19141189C2semidirect
15. #19141074C2semidirect
16. #19140998C2semidirect
17. #19140842C2semidirect
18. #19140406C2semidirect
19. #19140373C2semidirect
20. #19139773C2semidirect
21. #19139603C2semidirect
22. #19138846C2semidirect
23. #19138840C2semidirect
24. #19138728C2semidirect
25. #19138718C2semidirect
26. #19138244C2semidirect
28. #19137326C2semidirect
29. #19137223C2semidirect
30. C2×#14582778C2semidirect
31. C43×#2848C2semidirect
33. C2×#13063320C22semidirect
34. C2×#13063318C22semidirect
35. C2×#13063314C22semidirect
38. C2×#13063311C22semidirect
39. C2×#13063308C22semidirect
40. C2×#13063308C22semidirect
51. #14582840C22semidirect
52. #14582834C22semidirect
53. #14582834C22semidirect
54. #14582834C22semidirect
55. #14582830C22semidirect
56. #14582829C22semidirect
57. #14582828C22semidirect
58. #14582828C22semidirect
59. #14582828C22semidirect
60. #14582827C22semidirect
61. #14582827C22semidirect
62. #14582827C22semidirect
63. #14582826C22semidirect
64. #14582825C22semidirect
65. #14582825C22semidirect
66. #14582825C22semidirect
67. #14582825C22semidirect
68. #14582824C22semidirect
69. #14582823C22semidirect
70. #14582823C22semidirect
71. #14582822C22semidirect
72. #14582821C22semidirect
73. #14582821C22semidirect
74. #14582821C22semidirect
75. #14582819C22semidirect
76. #14582819C22semidirect
77. #14582818C22semidirect
78. #14582817C22semidirect
79. #14582817C22semidirect
80. #14582816C22semidirect
81. #14582816C22semidirect
82. #14582816C22semidirect
83. #14582816C22semidirect
86. #14582815C22semidirect
91. #14582814C22semidirect
92. #14582812C22semidirect
93. #14582812C22semidirect
94. #14582812C22semidirect
95. #14582811C22semidirect
96. #14582810C22semidirect
99. #14582806C22semidirect
100. #14582804C22semidirect
101. #14582804C22semidirect
102. #14582803C22semidirect
103. #14582800C22semidirect
108. #14582799C22semidirect
109. #14582795C22semidirect
110. #14582794C22semidirect
111. #14582794C22semidirect
112. #14582794C22semidirect
113. #14582793C22semidirect
114. #14582792C22semidirect
115. #14582792C22semidirect
116. #14582791C22semidirect
117. #14582791C22semidirect
118. #14582789C22semidirect
119. #14582789C22semidirect
120. #14582789C22semidirect
121. #14582789C22semidirect
122. #14582788C22semidirect
123. #14582787C22semidirect
124. #14582787C22semidirect
125. #14582786C22semidirect
126. #14582785C22semidirect
127. #14582784C22semidirect
128. #14582781C22semidirect
129. #14582781C22semidirect
130. #14582781C22semidirect
131. #14582780C22semidirect
132. #14582780C22semidirect
143. #14582778C22semidirect
144. #14582778C22semidirect
148. #14582773C22semidirect
151. #14582772C22semidirect
152. #14582772C22semidirect
154. #14582770C22semidirect
155. #14582766C22semidirect
156. #14582764C22semidirect
157. #14582762C22semidirect
158. #14582762C22semidirect
159. #14582761C22semidirect
162. #14582756C22semidirect
174. C2×C22⋊Q8×C43C22semidirect
175. C2×C22⋊Q8×C43C22semidirect
178. C43×#385C22semidirect
179. C43×#385C22semidirect
180. C43×#385C22semidirect
181. C43×#385C22semidirect
183. C43×#380C22semidirect
184. C43×#380C22semidirect
805. #2848D43semidirect
861. C2×C22⋊Q8C2×D43semidirect
862. C2×C22⋊Q8C2×D43semidirect
977. #385C2×D43semidirect
978. #385C2×D43semidirect
979. #385C2×D43semidirect
980. #385C2×D43semidirect
990. #380C2×D43semidirect
991. #380C2×D43semidirect
1003. C43#36793semidirect

Maximal subgroups

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

subgroupindex
#191428872
#191424332
#191419862
#191419352
#191418522
#191416462
#191415862
#191415082
#191414032
#191413632
#191413412
#191412682
#191412092
#191411892
#191410742
#191409982
#191408422
#191404062
#191403732
#191397732
#191396032
#191388462
#191388402
#191387282
#191387182
#191382442
#191379502
#191373262
#191372232
C2×#145827782
C43×#28482
#3679343