Finite Group Databasebeta

← D43×#2457 #25264704

Subgroups — D43×#2457 #25264704

Order 11008.

3438 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D43C211yesmaximal, characteristic, complemented
2C2×C4×D4×D43C211yesmaximal, characteristic, complemented
3#19138509C211yesmaximal, characteristic, complemented
4#19138508C211yesmaximal, characteristic, complemented
5#19138507C211yesmaximal, characteristic, complemented
6#19138506C211yesmaximal, characteristic, complemented
7#19138505C211yesmaximal, characteristic, complemented
8#19138504C211yesmaximal, characteristic, complemented
9#19138503C211yesmaximal, characteristic, complemented
10#19138502C211yesmaximal, characteristic, complemented
11#19138501C211yesmaximal, characteristic, complemented
12#19138500C211yesmaximal, characteristic, complemented
13#19138499C211yesmaximal, characteristic, complemented
14#19138498C211yesmaximal, characteristic, complemented
15#19138497C211yesmaximal, characteristic, complemented
16#19138496C211yesmaximal, characteristic, complemented
17#19138495C211yesmaximal, characteristic, complemented
18#400×D43C211yesmaximal, characteristic, complemented
19#396×D43C211yesmaximal, characteristic, complemented
20#394×D43C211yesmaximal, characteristic, complemented
21#392×D43C211yesmaximal, characteristic
22#388×D43C211yesmaximal, characteristic, complemented
23#388×D43C211yesmaximal, characteristic, complemented
24#387×D43C211yesmaximal, characteristic, complemented
25#386×D43C211yesmaximal, characteristic, complemented
26#386×D43C211yesmaximal, characteristic, complemented
27#386×D43C211yesmaximal, characteristic, complemented
28#381×D43C211yesmaximal, characteristic, complemented
29#380×D43C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2457C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C22×D4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36C23×C4×D43C2211yescharacteristic
37C23×C4×D43C2211yescharacteristic
38C2×#13063310C2211yescharacteristic, complemented
39C2×#13063310C2211yescharacteristic, complemented
40C2×#13063309C2211yescharacteristic, complemented
41C2×#13063308C2211yescharacteristic, complemented
42C2×#13063307C2211yescharacteristic, complemented
43C2×#13063307C2211yescharacteristic, complemented
44C2×#13063306C2211yescharacteristic, complemented
45#123×D43—28no—
46C2×C4×D172C2211yescharacteristic, complemented
47C2×D4×Dic43C2211yescharacteristic, complemented
48C2×#13063287C2211yescharacteristic, complemented
49C2×C4×C22⋊D43C2211yescharacteristic, complemented
50C2×C4×C22⋊D43C2211yescharacteristic, complemented
51C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
52C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
53C4×D4×D43—28no—
54C2×C4⋊C4×D43C2211yescharacteristic
55C2×C4⋊C4×D43C2211yescharacteristic
56C2×C4⋊C4×D43C2211yescharacteristic
57C2×C4⋊C4×D43C2211yescharacteristic
58C2×C4⋊C4×D43C2211yescharacteristic
59C2×C22⋊C4×D43C2211yescharacteristic
60C2×C22⋊C4×D43C2211yescharacteristic
61C2×C22⋊C4×D43C2211yescharacteristic
62C2×C22⋊C4×D43C2211yescharacteristic
63C2×C22⋊C4×D43C2211yescharacteristic
64C2×C22⋊C4×D43C2211yescharacteristic
65C2×C22⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C22⋊C4×D43C2211yescharacteristic
68C2×C22⋊C4×D43C2211yescharacteristic
69C2×C22⋊C4×D43C2211yescharacteristic
70C2×C22⋊C4×D43C2211yescharacteristic
71C2×C42×D43C2211yescharacteristic
72C2×C42×D43C2211yescharacteristic
73#14582841C2211yescharacteristic, complemented
74#14582841C2211yescharacteristic, complemented
75#14582840C2211yescharacteristic, complemented
76#14582840C2211yescharacteristic, complemented
77#14582839C2211yescharacteristic, complemented
78#14582838C2211yescharacteristic, complemented
79#14582837C2211yescharacteristic, complemented
80#14582823C2211yescharacteristic, complemented
81#14582822C2211yescharacteristic, complemented
82#14582822C2211yescharacteristic, complemented
83#14582822C2211yescharacteristic, complemented
84#14582821C2211yescharacteristic, complemented
85#14582821C2211yescharacteristic, complemented
86#14582821C2211yescharacteristic, complemented
87#14582817C2211yescharacteristic, complemented
88#14582816C2211yescharacteristic, complemented
89#14582815C2211yescharacteristic, complemented
90#14582815C2211yescharacteristic, complemented
91#14582814C2211yescharacteristic, complemented
92#14582814C2211yescharacteristic, complemented
93#14582813C2211yescharacteristic, complemented
94#14582809C2211yescharacteristic
95#14582808C2211yescharacteristic
96#14582808C2211yescharacteristic
97#14582808C2211yescharacteristic
98#14582807C2211yescharacteristic
99#14582807C2211yescharacteristic
100#14582807C2211yescharacteristic
101#14582793C2211yescharacteristic, complemented
102#14582793C2211yescharacteristic, complemented
103#14582792C2211yescharacteristic, complemented
104#14582792C2211yescharacteristic, complemented
105#14582791C2211yescharacteristic, complemented
106#14582791C2211yescharacteristic, complemented
107#14582790C2211yescharacteristic, complemented
108#14582790C2211yescharacteristic, complemented
109#14582789C2211yescharacteristic, complemented
110#14582789C2211yescharacteristic, complemented
111#14582788C2211yescharacteristic, complemented
112#14582788C2211yescharacteristic, complemented
113#14582787C2211yescharacteristic, complemented
114#14582787C2211yescharacteristic, complemented
115#14582786C2211yescharacteristic, complemented
116#14582785C2211yescharacteristic, complemented
117#14582784C2211yescharacteristic, complemented
118#14582783C2211yescharacteristic, complemented
119#14582782C2211yescharacteristic, complemented
120#14582781C2211yescharacteristic, complemented
121#14582780C2211yescharacteristic, complemented
122#14582779C2211yescharacteristic, complemented
123#14582779C2211yescharacteristic, complemented
124#14582779C2211yescharacteristic, complemented
125#14582778C2211yescharacteristic, complemented
126#14582778C2211yescharacteristic, complemented
127#14582778C2211yescharacteristic, complemented
128#14582777C2211yescharacteristic, complemented
129#14582777C2211yescharacteristic, complemented
130#14582777C2211yescharacteristic, complemented
131#14582777C2211yescharacteristic, complemented
132#14582777C2211yescharacteristic, complemented
133#14582777C2211yescharacteristic, complemented
134#14582776C2211yescharacteristic, complemented
135#14582776C2211yescharacteristic, complemented
136#14582776C2211yescharacteristic, complemented
137#14582775C2211yescharacteristic, complemented
138#14582775C2211yescharacteristic, complemented
139#14582775C2211yescharacteristic, complemented
140#14582775C2211yescharacteristic, complemented
141#14582775C2211yescharacteristic, complemented
142#14582775C2211yescharacteristic, complemented
143#14582762C2211yescharacteristic, complemented
144#14582761C2211yescharacteristic, complemented
145#14582761C2211yescharacteristic, complemented
146#14582761C2211yescharacteristic, complemented
147#14582761C2211yescharacteristic, complemented
148#14582760C2211yescharacteristic, complemented
149#14582760C2211yescharacteristic, complemented
150#14582759C2211yescharacteristic, complemented
151#14582758C2211yescharacteristic, complemented
152#14582758C2211yescharacteristic, complemented
153#14582757C2211yescharacteristic, complemented
154#14582757C2211yescharacteristic, complemented
155#14582756C2211yescharacteristic, complemented
156#14582756C2211yescharacteristic, complemented
157C22⋊C4×Dic43C2211yescharacteristic, complemented
158C22⋊C4×Dic43C2211yescharacteristic, complemented
159C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
161C4×C22⋊Dic43C2211yescharacteristic, complemented
162#14582746C2211yescharacteristic, complemented
163#14582746C2211yescharacteristic, complemented
164#95×D43C2211yescharacteristic
165#95×D43C2211yescharacteristic
166#95×D43C2211yescharacteristic
167#95×D43C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172#95×D43C2211yescharacteristic
173#95×D43C2211yescharacteristic
174C2×#123×C43C2211yescharacteristic, complemented
175C2×C4×D4×C43C2211yescharacteristic, complemented
176C43×#400C2211yescharacteristic, complemented
177C43×#396C2211yescharacteristic, complemented
178C43×#394C2211yescharacteristic, complemented
179C43×#392C2211yescharacteristic
180C43×#388C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#387C2211yescharacteristic, complemented
183C43×#386C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic, complemented
186C43×#381C2211yescharacteristic, complemented
187C43×#380C2211yescharacteristic, complemented
188C4×C22⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C24×D43C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C2×D4×D43—24no—
202C2×D4×D43—24no—
203C2×D4×D43—24no—
204C2×D4×D43—24no—
205C2×D4×D43—24no—
206C2×D4×D43—24no—
207C2×D4×D43—24no—
208C2×D4×D43—42no—
209C2×D4×D43—42no—
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C23×Dic43C2311yescharacteristic
213C22×C4×D43—24no—
214C22×C4×D43—24no—
215C22×C4×D43—24no—
216C22×C4×D43—24no—
217C22×C4×D43—24no—
218C22×C4×D43—24no—
219C22×C4×D43—42no—
220C22×C4×D43—42no—
221C22×C4×D43—42no—
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231C22×C4×D43C2311yescharacteristic
232C22×C4×D43C2311yescharacteristic
233C22×C4×D43C2311yescharacteristic
234C22×C4×D43C2311yescharacteristic
235C22×C4×D43C2311yescharacteristic
236C22×C4×D43C2311yescharacteristic
237C22×C4×D43C2311yescharacteristic
238C22×C4×D43C2311yescharacteristic
239C22×C4×D43C2311yescharacteristic
240#13063310—24no—
241#13063310—24no—
242#13063309—24no—
243#13063308—24no—
244#13063307—24no—
245#13063307—24no—
246#13063306—24no—
247C4×D172—24no—
248D4×Dic43—24no—
249#13063287—24no—
250C4×C22⋊D43—24no—
251C4×C22⋊D43—24no—
252(C22⋊D43)⋊C4—24no—
253(C22⋊D43)⋊C4—24no—
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×C4⋊Dic43C2311yescharacteristic
257C2×C4⋊Dic43C2311yescharacteristic
258C2×C4⋊Dic43C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C4⋊C4×D43—24no—
270C4⋊C4×D43—24no—
271C4⋊C4×D43—24no—
272C4⋊C4×D43—24no—
273C4⋊C4×D43—42no—
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C22⋊C4×D43—24no—
311C22⋊C4×D43—24no—
312C22⋊C4×D43—24no—
313C22⋊C4×D43—24no—
314C22⋊C4×D43—24no—
315C22⋊C4×D43—24no—
316C22⋊C4×D43—42no—
317C22⋊C4×D43—42no—
318C22⋊C4×D43—42no—
319C22⋊C4×D43—42no—
320C22⋊C4×D43—42no—
321C22⋊C4×D43D418yescomplemented
322C2×C4×Dic43C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C2×C4×Dic43C2311yescharacteristic
325C2×C4×Dic43C2311yescharacteristic
326C2×C4×Dic43C2311yescharacteristic
327C2×C4×Dic43C2311yescharacteristic
328C42×D43—24no—
329C42×D43—42no—
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C43⋊#95C2311yescharacteristic
355C43⋊#95C2311yescharacteristic
356C43⋊#95C2311yescharacteristic
357C43⋊#95C2311yescharacteristic
358C43⋊#95C2311yescharacteristic
359C43⋊#95C2311yescharacteristic
360C22×D4×C43C2311yescharacteristic
361C22×D4×C43C2311yescharacteristic
362C22×D4×C43C2311yescharacteristic
363C23×C4×C43C2311yescharacteristic
364C23×C4×C43C2311yescharacteristic
365C23×C4×C43C2311yescharacteristic
366#123×C43—24no—
367C4×D4×C43—24no—
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C42×C43C2311yescharacteristic
386C2×C42×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391#95×C43C2311yescharacteristic
392#95×C43C2311yescharacteristic
393#95×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395#95×C43C2311yescharacteristic
396#95×C43C2311yescharacteristic
397C24×C43C2411yescharacteristic
398C24×C43C2411yescharacteristic
399C24×C43C2411yescharacteristic
400C23×D43—22no—
401C23×D43—22no—
402C23×D43—22no—
403C23×D43—22no—
404C23×D43—22no—
405C23×D43—22no—
406C23×D43—22no—
407C23×D43—22no—
408C23×D43—22no—
409C23×D43—22no—
410C23×D43—22no—
411C23×D43—22no—
412C23×D43—22no—
413C23×D43—22no—
414C23×D43—22no—
415C23×D43—22no—
416C23×D43—22no—
417C23×D43—22no—
418C23×D43C2×D414yes—
419C23×D43#4114yes—
420C23×D43#4114yes—
421C23×D43C2411yescharacteristic
422C23×D43C2411yescharacteristic
423C23×D43C2411yescharacteristic
424C23×D43C2411yescharacteristic
425C2×D4×C43—22no—
426C2×D4×C43—22no—
427C2×D4×C43—22no—
428C2×D4×C43—22no—
429C2×D4×C43—22no—
430C2×D4×C43—22no—
431C2×D4×C43—22no—
432C2×D4×C43—41no—
433C2×D4×C43—41no—
434C22×C4×C43—22no—
435C22×C4×C43—22no—
436C22×C4×C43—22no—
437C22×C4×C43—22no—
438C22×C4×C43—22no—
439C22×C4×C43—22no—
440C22×C4×C43—41no—
441C22×C4×C43—41no—
442C22×C4×C43—41no—
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C22×C4×C43C2411yescharacteristic
453C22×C4×C43C2411yescharacteristic
454C22×C4×C43C2411yescharacteristic
455C2×C22⋊D43—22no—
456C2×C22⋊D43—22no—
457C2×C22⋊D43—22no—
458C2×C22⋊D43—22no—
459C2×C22⋊D43—22no—
460C2×C22⋊D43—22no—
461C2×C22⋊D43—22no—
462C2×C22⋊D43—22no—
463C2×C22⋊D43—22no—
464C2×C22⋊D43—22no—
465C2×C22⋊D43—22no—
466C2×C22⋊D43—22no—
467C2×C22⋊D43—22no—
468C2×C22⋊D43—22no—
469C2×C22⋊D43—41no—
470C2×C22⋊D43—41no—
471C2×C22⋊D43—41no—
472C2×C22⋊D43—41no—
473C22×Dic43—22no—
474C22×Dic43—22no—
475C22×Dic43—22no—
476C22×Dic43—22no—
477C22×Dic43—22no—
478C22×Dic43—22no—
479C22×Dic43—41no—
480C22×Dic43—41no—
481C22×Dic43—41no—
482C22×Dic43C2411yescharacteristic
483C22×Dic43C2411yescharacteristic
484C22×Dic43C2411yescharacteristic
485C22×Dic43C2411yescharacteristic
486C22×Dic43C2411yescharacteristic
487C22×Dic43C2411yescharacteristic
488C22×Dic43C2411yescharacteristic
489C22×Dic43C2411yescharacteristic
490C22×Dic43C2411yescharacteristic
491C22×Dic43C2411yescharacteristic
492C22×Dic43C2411yescharacteristic
493C22×Dic43C2411yescharacteristic
494D4×D43—232no—
495D4×D43—416no—
496D4×D43—416no—
497C2×D172—22no—
498C2×D172—22no—
499C2×D172—22no—
500C2×D172—22no—
501C2×D172—22no—
502C2×D172—22no—
503C2×D172—22no—
504C2×D172—41no—
505C2×D172—41no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—22no—
510C2×C4×D43—22no—
511C2×C4×D43—22no—
512C2×C4×D43—22no—
513C2×C4×D43—22no—
514C2×C4×D43—22no—
515C2×C4×D43—22no—
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—22no—
519C2×C4×D43—22no—
520C2×C4×D43—22no—
521C2×C4×D43—22no—
522C2×C4×D43—22no—
523C2×C4×D43—22no—
524C2×C4×D43—22no—
525C2×C4×D43—22no—
526C2×C4×D43—22no—
527C2×C4×D43—22no—
528C2×C4×D43—22no—
529C2×C4×D43—22no—
530C2×C4×D43—22no—
531C2×C4×D43—22no—
532C2×C4×D43—22no—
533C2×C4×D43—22no—
534C2×C4×D43—22no—
535C2×C4×D43—22no—
536C2×C4×D43—22no—
537C2×C4×D43—22no—
538C2×C4×D43—22no—
539C2×C4×D43—22no—
540C2×C4×D43—22no—
541C2×C4×D43—22no—
542C2×C4×D43—22no—
543C2×C4×D43—22no—
544C2×C4×D43—22no—
545C2×C4×D43—22no—
546C2×C4×D43—22no—
547C2×C4×D43—22no—
548C2×C4×D43—22no—
549C2×C4×D43—22no—
550C2×C4×D43—416no—
551C2×C4×D43—416no—
552C2×C4×D43—41no—
553C2×C4×D43—41no—
554C2×C4×D43—41no—
555C2×C4×D43—41no—
556C2×C4×D43—41no—
557C2×C4×D43—41no—
558C2×C4×D43—416no—
559C2×C4×D43C2×D414yes—
560C2×C4×D43C2×D414yes—
561C2×C4×D43#4114yes—
562C2×C4×D43#4114yes—
563C4⋊C4×C43—22no—
564C4⋊C4×C43—22no—
565C4⋊C4×C43—22no—
566C4⋊C4×C43—22no—
567C4⋊C4×C43—41no—
568C22⋊C4×C43—22no—
569C22⋊C4×C43—22no—
570C22⋊C4×C43—22no—
571C22⋊C4×C43—22no—
572C22⋊C4×C43—22no—
573C22⋊C4×C43—22no—
574C22⋊C4×C43—41no—
575C22⋊C4×C43—41no—
576C22⋊C4×C43—41no—
577C22⋊C4×C43—41no—
578C22⋊C4×C43—41no—
579C22⋊C4×C43C2×D414yescomplemented
580C42×C43—22no—
581C42×C43—41no—
582C22⋊Dic43—22no—
583C22⋊Dic43—22no—
584C22⋊Dic43—22no—
585C22⋊Dic43—22no—
586C22⋊Dic43—22no—
587C22⋊Dic43—22no—
588C22⋊Dic43—41no—
589C22⋊Dic43—41no—
590C22⋊Dic43—41no—
591C22⋊Dic43—41no—
592C22⋊Dic43—41no—
593C22⋊Dic43C2×D414yescomplemented
594(C2×D43)⋊C4—22no—
595(C2×D43)⋊C4—22no—
596(C2×D43)⋊C4—22no—
597(C2×D43)⋊C4—22no—
598(C2×D43)⋊C4—22no—
599(C2×D43)⋊C4—22no—
600(C2×D43)⋊C4—22no—
601(C2×D43)⋊C4—22no—
602(C2×D43)⋊C4—22no—
603(C2×D43)⋊C4—22no—
604(C2×D43)⋊C4—22no—
605(C2×D43)⋊C4—22no—
606(C2×D43)⋊C4—41no—
607(C2×D43)⋊C4—41no—
608(C2×D43)⋊C4—41no—
609(C2×D43)⋊C4—41no—
610(C2×D43)⋊C4—41no—
611(C2×D43)⋊C4—41no—
612(C2×D43)⋊C4—41no—
613(C2×D43)⋊C4—41no—
614(C2×D43)⋊C4—41no—
615(C2×D43)⋊C4—41no—
616(C2×D43)⋊C4C2×D414yescomplemented
617(C2×D43)⋊C4C2×D414yescomplemented
618C4⋊Dic43—22no—
619C4⋊Dic43—22no—
620C4⋊Dic43—22no—
621C4⋊Dic43—22no—
622C4⋊Dic43—41no—
623Dic43⋊C4—22no—
624Dic43⋊C4—22no—
625Dic43⋊C4—22no—
626Dic43⋊C4—22no—
627Dic43⋊C4—22no—
628Dic43⋊C4—22no—
629Dic43⋊C4—22no—
630Dic43⋊C4—22no—
631Dic43⋊C4—41no—
632Dic43⋊C4—41no—
633C4×Dic43—22no—
634C4×Dic43—22no—
635C4×Dic43—22no—
636C4×Dic43—41no—
637C4×Dic43—41no—
638C4×Dic43—41no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—21no—
656C23×C43—21no—
657C23×C43C22×D412yes—
658C23×C43C2×#4112yes—
659C23×C43C2×#4112yes—
660C23×C43C2511yescharacteristic
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—21no—
667C22×D43—21no—
668C22×D43—21no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—28no—
680C22×D43—28no—
681C22×D43—28no—
682C22×D43—28no—
683C22×D43—28no—
684C22×D43—28no—
685C22×D43—28no—
686C22×D43—28no—
687C22×D43—28no—
688C22×D43—44no—
689C22×D43—44no—
690C22×D43—44no—
691C22×D43—44no—
692C22×D43—44no—
693C22×D43—44no—
694C22×D43—44no—
695C22×D43—44no—
696C22×D43—44no—
697C22×D43—44no—
698C22×D43—44no—
699C22×D43—44no—
700C22×D43C22×D412yes—
701C22×D43C22×D412yes—
702C22×D43C2×#4112yes—
703C22×D43C2×#4112yes—
704C22×D43C2×#4112yes—
705C22×D43C2×#4112yes—
706C22×D43C2×#4112yes—
707C22×D43C2×#4112yes—
708C22×D43H(5,𝔽2)12yes—
709C22×D43H(5,𝔽2)12yes—
710D4×C43—28no—
711D4×C43—44no—
712D4×C43—44no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—44no—
746C2×C4×C43—44no—
747C2×C4×C43—44no—
748C2×C4×C43C22×D412yes—
749C2×C4×C43C22×D412yes—
750C2×C4×C43C2×#4112yes—
751C2×C4×C43C2×#4112yes—
752C22⋊D43—28no—
753C22⋊D43—28no—
754C22⋊D43—44no—
755C22⋊D43—44no—
756C22⋊D43—44no—
757C22⋊D43—44no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—44no—
791C2×Dic43—44no—
792C2×Dic43—44no—
793C2×Dic43C22×D412yes—
794C2×Dic43C22×D412yes—
795C2×Dic43C2×#4112yes—
796C2×Dic43C2×#4112yes—
797D172—28no—
798D172—44no—
799D172—44no—
800C4×D43—28no—
801C4×D43—28no—
802C4×D43—28no—
803C4×D43—28no—
804C4×D43—44no—
805C4×D43—44no—
806C4×D43—44no—
807C4×D43—44no—
808C4×D43—44no—
809C4×D43—44no—
810C4×D43—44no—
811C4×D43—44no—
812C4×D43—44no—
813C4×D43—44no—
814C4×D43—44no—
815C4×D43—44no—
816C4×D43—44no—
817C4×D43—44no—
818C2×#2457—431nomaximal, Sylow
819C22×C43—22no—
820C22×C43—22no—
821C22×C43—22no—
822C22×C43—22no—
823C22×C43—22no—
824C22×C43—22no—
825C22×C43—22no—
826C22×C43—22no—
827C22×C43—22no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43C23×D411yescharacteristic
841C22×C43C22×#4111yescharacteristic
842C22×C43C22×#4111yescharacteristic
843C22×C43C22×#4111yescharacteristic
844C22×C43C22×#4111yescharacteristic
845C22×C43C2×H(5,𝔽2)11yescharacteristic
846C22×C43C2×H(5,𝔽2)11yescharacteristic
847C2×D43—22no—
848C2×D43—22no—
849C2×D43—22no—
850C2×D43—22no—
851C2×D43—22no—
852C2×D43—22no—
853C2×D43—22no—
854C2×D43—22no—
855C2×D43—22no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—41no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—41no—
866C2×D43—41no—
867C2×D43—41no—
868C2×D43—416no—
869C2×D43—416no—
870C2×D43—416no—
871C2×D43#52514yes—
872C2×D43#52914yes—
873C2×D43#54014yes—
874C2×D43#54614yes—
875C2×D43#54614yes—
876C2×D43#55114yes—
877C2×D43#55314yes—
878C4×C43—22no—
879C4×C43—22no—
880C4×C43—22no—
881C4×C43—22no—
882C4×C43—41no—
883C4×C43—41no—
884C4×C43—41no—
885C4×C43—41no—
886C4×C43—41no—
887C4×C43—41no—
888C4×C43—41no—
889C4×C43—41no—
890Dic43—22no—
891Dic43—22no—
892Dic43—22no—
893Dic43—22no—
894Dic43—41no—
895Dic43—41no—
896Dic43—41no—
897Dic43—41no—
898Dic43—41no—
899Dic43—41no—
900Dic43—41no—
901Dic43—41no—
902C22×#123—431no—
903C22×C4×D4—431no—
904#2457—431no—
905#2457—431no—
906#2457—431no—
907#2457—431no—
908#2457—431no—
909#2457—431no—
910#2457—431no—
911#2457—431no—
912#2457—431no—
913#2457—431no—
914#2457—431no—
915#2457—431no—
916#2457—431no—
917#2457—431no—
918#2457—431no—
919#2457D4311yescharacteristic, direct product factor
920C2×#400—431no—
921C2×#396—431no—
922C2×#394—431no—
923C2×#392—431no—
924C2×#388—431no—
925C2×#388—431no—
926C2×#387—431no—
927C2×#386—431no—
928C2×#386—431no—
929C2×#386—431no—
930C2×#381—431no—
931C2×#380—431no—
932C2×C4×C22⋊C4—431no—
933C2×C43—42no—
934C2×C43—42no—
935C2×C43—42no—
936C2×C43C2×#52511yescharacteristic
937C2×C43C2×#52911yescharacteristic
938C2×C43C2×#54011yescharacteristic
939C2×C43C2×#54611yescharacteristic
940C2×C43C2×#54611yescharacteristic
941C2×C43C2×#55111yescharacteristic
942C2×C43C2×#55311yescharacteristic
943D43—42no—
944D43—42no—
945D43—42no—
946D43#245718yesdirect product factor
947C23×D4—431no—
948C23×D4—431no—
949C23×D4—431no—
950C24×C4—431no—
951C24×C4—431no—
952C24×C4—431no—
953C2×#123—431no—
954C2×#123—431no—
955C2×#123—431no—
956C2×#123—431no—
957C2×#123—431no—
958C2×#123—431no—
959C2×#123—431no—
960C2×#123—868no—
961C2×#123C2×D4311yescharacteristic, complemented
962C2×C4×D4—431no—
963C2×C4×D4—431no—
964C2×C4×D4—431no—
965C2×C4×D4—431no—
966C2×C4×D4—431no—
967C2×C4×D4—431no—
968C2×C4×D4—431no—
969C2×C4×D4—868no—
970C2×C4×D4C2×D4311yescharacteristic, complemented
971C22×C4⋊C4—431no—
972C22×C4⋊C4—431no—
973C22×C4⋊C4—431no—
974C22×C4⋊C4—431no—
975C22×C4⋊C4—431no—
976C22×C22⋊C4—431no—
977C22×C22⋊C4—431no—
978C22×C22⋊C4—431no—
979C22×C22⋊C4—431no—
980C22×C22⋊C4—431no—
981C22×C22⋊C4—431no—
982C22×C22⋊C4—431no—
983C22×C22⋊C4—431no—
984C22×C22⋊C4—431no—
985C22×C22⋊C4—431no—
986C22×C22⋊C4—431no—
987C22×C22⋊C4—431no—
988C22×C42—431no—
989C22×C42—431no—
990#400—431no—
991#400—431no—
992#400—431no—
993#400—431no—
994#400—431no—
995#400—431no—
996#400—431no—
997#400C2×D4311yescharacteristic, complemented
998#396—431no—
999#396—431no—
1000#396—431no—
1001#396—431no—
1002#396—431no—
1003#396—431no—
1004#396—431no—
1005#396C2×D4311yescharacteristic, complemented
1006#394—431no—
1007#394—431no—
1008#394—431no—
1009#394—431no—
1010#394—431no—
1011#394—431no—
1012#394—431no—
1013#394C2×D4311yescharacteristic, complemented
1014#392—431no—
1015#392—431no—
1016#392—431no—
1017#392—431no—
1018#392—431no—
1019#392—431no—
1020#392—431no—
1021#392C2×D4311yescharacteristic
1022#388—431no—
1023#388—431no—
1024#388—431no—
1025#388—431no—
1026#388—431no—
1027#388—431no—
1028#388—431no—
1029#388—431no—
1030#388—431no—
1031#388—431no—
1032#388—431no—
1033#388—431no—
1034#388—431no—
1035#388—431no—
1036#388C2×D4311yescharacteristic, complemented
1037#388C2×D4311yescharacteristic, complemented
1038#387—431no—
1039#387—431no—
1040#387—431no—
1041#387—431no—
1042#387—431no—
1043#387—431no—
1044#387—431no—
1045#387C2×D4311yescharacteristic, complemented
1046#386—431no—
1047#386—431no—
1048#386—431no—
1049#386—431no—
1050#386—431no—
1051#386—431no—
1052#386—431no—
1053#386—431no—
1054#386—431no—
1055#386—431no—
1056#386—431no—
1057#386—431no—
1058#386—431no—
1059#386—431no—
1060#386—431no—
1061#386—431no—
1062#386—431no—
1063#386—431no—
1064#386—431no—
1065#386—431no—
1066#386—431no—
1067#386C2×D4311yescharacteristic, complemented
1068#386C2×D4311yescharacteristic, complemented
1069#386C2×D4311yescharacteristic, complemented
1070#381—431no—
1071#381—431no—
1072#381—431no—
1073#381—431no—
1074#381—431no—
1075#381—431no—
1076#381—431no—
1077#381C2×D4311yescharacteristic, complemented
1078#380—431no—
1079#380—431no—
1080#380—431no—
1081#380—431no—
1082#380—431no—
1083#380—431no—
1084#380—431no—
1085#380C2×D4311yescharacteristic, complemented
1086C4×C22⋊C4—431no—
1087C4×C22⋊C4—431no—
1088C4×C22⋊C4—431no—
1089C4×C22⋊C4—431no—
1090C4×C22⋊C4—431no—
1091C4×C22⋊C4—431no—
1092C4×C22⋊C4—431no—
1093C4×C22⋊C4C2×D4311yescharacteristic, complemented
1094C2×#95—431no—
1095C2×#95—431no—
1096C2×#95—431no—
1097C2×#95—431no—
1098C2×#95—431no—
1099C2×#95—431no—
1100C2×#95—431no—
1101C2×#95—431no—
1102C2×#95—431no—
1103C2×#95—431no—
1104C43C2×#245711yescharacteristic, complemented, Sylow
1105C25—431no—
1106C25—431no—
1107C25—431no—
1108C22×D4—431no—
1109C22×D4—431no—
1110C22×D4—431no—
1111C22×D4—431no—
1112C22×D4—431no—
1113C22×D4—431no—
1114C22×D4—431no—
1115C22×D4—431no—
1116C22×D4—431no—
1117C22×D4—864no—
1118C22×D4—864no—
1119C22×D4—864no—
1120C22×D4—864no—
1121C22×D4—864no—
1122C22×D4—864no—
1123C22×D4—864no—
1124C22×D4—1722no—
1125C22×D4—1722no—
1126C22×D4C22×D4311yescharacteristic
1127C22×D4C22×D4311yescharacteristic
1128C22×D4C22×D4311yescharacteristic
1129C23×C4—431no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4—431no—
1133C23×C4—431no—
1134C23×C4—431no—
1135C23×C4—431no—
1136C23×C4—431no—
1137C23×C4—431no—
1138C23×C4—431no—
1139C23×C4—431no—
1140C23×C4—431no—
1141C23×C4—431no—
1142C23×C4—431no—
1143C23×C4—431no—
1144C23×C4—431no—
1145C23×C4—431no—
1146C23×C4—431no—
1147C23×C4—431no—
1148C23×C4—431no—
1149C23×C4—431no—
1150C23×C4—864no—
1151C23×C4—864no—
1152C23×C4—864no—
1153C23×C4—864no—
1154C23×C4—864no—
1155C23×C4—864no—
1156C23×C4—1722no—
1157C23×C4—1722no—
1158C23×C4—1722no—
1159C23×C4C22×D4311yescharacteristic
1160C23×C4C22×D4311yescharacteristic
1161C23×C4C22×D4311yescharacteristic
1162#123—24no—
1163#123—864no—
1164#123—864no—
1165#123—864no—
1166#123—864no—
1167#123—864no—
1168#123—864no—
1169#123—864no—
1170C4×D4—24no—
1171C4×D4—864no—
1172C4×D4—864no—
1173C4×D4—864no—
1174C4×D4—864no—
1175C4×D4—864no—
1176C4×D4—864no—
1177C4×D4—864no—
1178C2×C4⋊C4—431no—
1179C2×C4⋊C4—431no—
1180C2×C4⋊C4—431no—
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—431no—
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—864no—
1194C2×C4⋊C4—864no—
1195C2×C4⋊C4—864no—
1196C2×C4⋊C4—864no—
1197C2×C4⋊C4—1722no—
1198C2×C4⋊C4C22×D4311yescharacteristic
1199C2×C4⋊C4C22×D4311yescharacteristic
1200C2×C4⋊C4C22×D4311yescharacteristic
1201C2×C4⋊C4C22×D4311yescharacteristic
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C22⋊C4—431no—
1204C2×C22⋊C4—431no—
1205C2×C22⋊C4—431no—
1206C2×C22⋊C4—438no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—431no—
1228C2×C22⋊C4—431no—
1229C2×C22⋊C4—431no—
1230C2×C22⋊C4—431no—
1231C2×C22⋊C4—431no—
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—864no—
1241C2×C22⋊C4—864no—
1242C2×C22⋊C4—864no—
1243C2×C22⋊C4—864no—
1244C2×C22⋊C4—864no—
1245C2×C22⋊C4—864no—
1246C2×C22⋊C4—1722no—
1247C2×C22⋊C4—1722no—
1248C2×C22⋊C4—1722no—
1249C2×C22⋊C4—1722no—
1250C2×C22⋊C4—1722no—
1251C2×C22⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4C22×D4311yescharacteristic
1253C2×C22⋊C4C22×D4311yescharacteristic
1254C2×C22⋊C4C22×D4311yescharacteristic
1255C2×C22⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4C22×D4311yescharacteristic
1259C2×C22⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4C22×D4311yescharacteristic
1261C2×C22⋊C4C22×D4311yescharacteristic
1262C2×C22⋊C4C22×D4311yescharacteristic
1263C2×C42—431no—
1264C2×C42—431no—
1265C2×C42—431no—
1266C2×C42—431no—
1267C2×C42—431no—
1268C2×C42—431no—
1269C2×C42—864no—
1270C2×C42—1722no—
1271C2×C42C22×D4311yescharacteristic
1272C2×C42C22×D4311yescharacteristic
1273#95—431no—
1274#95—431no—
1275#95—431no—
1276#95—431no—
1277#95—431no—
1278#95—431no—
1279#95—431no—
1280#95—431no—
1281#95—431no—
1282#95—431no—
1283#95—431no—
1284#95—431no—
1285#95—431no—
1286#95—431no—
1287#95—431no—
1288#95—431no—
1289#95—431no—
1290#95—431no—
1291#95—431no—
1292#95—431no—
1293#95—431no—
1294#95—431no—
1295#95—431no—
1296#95—431no—
1297#95—431no—
1298#95—431no—
1299#95—431no—
1300#95—431no—
1301#95—431no—
1302#95—431no—
1303#95C22×D4311yescharacteristic
1304#95C22×D4311yescharacteristic
1305#95C22×D4311yescharacteristic
1306#95C22×D4311yescharacteristic
1307#95C22×D4311yescharacteristic
1308#95C22×D4311yescharacteristic
1309#95C22×D4311yescharacteristic
1310#95C22×D4311yescharacteristic
1311#95C22×D4311yescharacteristic
1312#95C22×D4311yescharacteristic
1313C24—431no—
1314C24—434no—
1315C24—434no—
1316C24—434no—
1317C24—431no—
1318C24—431no—
1319C24—431no—
1320C24—862no—
1321C24—862no—
1322C24—862no—
1323C24—862no—
1324C24—862no—
1325C24—862no—
1326C24—862no—
1327C24—862no—
1328C24—862no—
1329C24—862no—
1330C24—862no—
1331C24—862no—
1332C24—862no—
1333C24—862no—
1334C24—862no—
1335C24—862no—
1336C24—862no—
1337C24—862no—
1338C24C23×D4311yescharacteristic
1339C24C23×D4311yescharacteristic
1340C24C23×D4311yescharacteristic
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—862no—
1351C2×D4—862no—
1352C2×D4—862no—
1353C2×D4—862no—
1354C2×D4—862no—
1355C2×D4—862no—
1356C2×D4—862no—
1357C2×D4—862no—
1358C2×D4—8632no—
1359C2×D4—862no—
1360C2×D4—862no—
1361C2×D4—862no—
1362C2×D4—862no—
1363C2×D4—862no—
1364C2×D4—862no—
1365C2×D4—862no—
1366C2×D4—862no—
1367C2×D4—862no—
1368C2×D4—862no—
1369C2×D4—862no—
1370C2×D4—862no—
1371C2×D4—862no—
1372C2×D4—1721no—
1373C2×D4—1721no—
1374C2×D4—1721no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4—17216no—
1379C2×D4—17216no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—431no—
1390C22×C4—431no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—434no—
1394C22×C4—434no—
1395C22×C4—434no—
1396C22×C4—434no—
1397C22×C4—431no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—862no—
1406C22×C4—862no—
1407C22×C4—862no—
1408C22×C4—862no—
1409C22×C4—862no—
1410C22×C4—862no—
1411C22×C4—862no—
1412C22×C4—862no—
1413C22×C4—862no—
1414C22×C4—862no—
1415C22×C4—862no—
1416C22×C4—862no—
1417C22×C4—862no—
1418C22×C4—862no—
1419C22×C4—862no—
1420C22×C4—862no—
1421C22×C4—862no—
1422C22×C4—862no—
1423C22×C4—862no—
1424C22×C4—862no—
1425C22×C4—862no—
1426C22×C4—862no—
1427C22×C4—862no—
1428C22×C4—862no—
1429C22×C4—862no—
1430C22×C4—862no—
1431C22×C4—862no—
1432C22×C4—862no—
1433C22×C4—862no—
1434C22×C4—862no—
1435C22×C4—862no—
1436C22×C4—862no—
1437C22×C4—862no—
1438C22×C4—862no—
1439C22×C4—862no—
1440C22×C4—862no—
1441C22×C4—862no—
1442C22×C4—862no—
1443C22×C4—862no—
1444C22×C4—862no—
1445C22×C4—862no—
1446C22×C4—862no—
1447C22×C4—862no—
1448C22×C4—862no—
1449C22×C4—862no—
1450C22×C4—862no—
1451C22×C4—862no—
1452C22×C4—862no—
1453C22×C4—862no—
1454C22×C4—862no—
1455C22×C4—1721no—
1456C22×C4—1721no—
1457C22×C4—1721no—
1458C22×C4—1721no—
1459C22×C4—1721no—
1460C22×C4—1721no—
1461C22×C4—17216no—
1462C22×C4—17216no—
1463C22×C4—17216no—
1464C22×C4—1721no—
1465C22×C4—1721no—
1466C22×C4—1721no—
1467C22×C4C23×D4311yescharacteristic
1468C22×C4C23×D4311yescharacteristic
1469C22×C4C23×D4311yescharacteristic
1470C22×C4C23×D4311yescharacteristic
1471C22×C4C23×D4311yescharacteristic
1472C22×C4C23×D4311yescharacteristic
1473C22×C4C23×D4311yescharacteristic
1474C22×C4C23×D4311yescharacteristic
1475C22×C4C23×D4311yescharacteristic
1476C22×C4C23×D4311yescharacteristic
1477C22×C4C23×D4311yescharacteristic
1478C22×C4C23×D4311yescharacteristic
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—41no—
1484C4⋊C4—862no—
1485C4⋊C4—862no—
1486C4⋊C4—862no—
1487C4⋊C4—862no—
1488C4⋊C4—862no—
1489C4⋊C4—862no—
1490C4⋊C4—862no—
1491C4⋊C4—862no—
1492C4⋊C4—862no—
1493C4⋊C4—862no—
1494C4⋊C4—862no—
1495C4⋊C4—862no—
1496C4⋊C4—1721no—
1497C4⋊C4—1721no—
1498C4⋊C4—1721no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—22no—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—434no—
1511C22⋊C4—434no—
1512C22⋊C4—434no—
1513C22⋊C4—862no—
1514C22⋊C4—862no—
1515C22⋊C4—862no—
1516C22⋊C4—862no—
1517C22⋊C4—862no—
1518C22⋊C4—862no—
1519C22⋊C4—862no—
1520C22⋊C4—862no—
1521C22⋊C4—862no—
1522C22⋊C4—862no—
1523C22⋊C4—862no—
1524C22⋊C4—862no—
1525C22⋊C4—862no—
1526C22⋊C4—862no—
1527C22⋊C4—862no—
1528C22⋊C4—862no—
1529C22⋊C4—862no—
1530C22⋊C4—862no—
1531C22⋊C4—1721no—
1532C22⋊C4—1721no—
1533C22⋊C4—1721no—
1534C22⋊C4—1721no—
1535C22⋊C4—1721no—
1536C22⋊C4—1721no—
1537C22⋊C4—1721no—
1538C22⋊C4—1721no—
1539C22⋊C4—1721no—
1540C22⋊C4—1721no—
1541C22⋊C4—1721no—
1542C22⋊C4—1721no—
1543C22⋊C4—1721no—
1544C22⋊C4—1721no—
1545C22⋊C4—1721no—
1546C22⋊C4D4×D4314yescomplemented
1547C42—22no—
1548C42—41no—
1549C42—862no—
1550C42—862no—
1551C42—862no—
1552C42—1721no—
1553C42—1721no—
1554C42—1721no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—432no—
1574C23—432no—
1575C23—432no—
1576C23—432no—
1577C23—432no—
1578C23—432no—
1579C23—432no—
1580C23—432no—
1581C23—432no—
1582C23—432no—
1583C23—868no—
1584C23—868no—
1585C23—868no—
1586C23—868no—
1587C23—868no—
1588C23—868no—
1589C23—868no—
1590C23—868no—
1591C23—868no—
1592C23—861no—
1593C23—861no—
1594C23—861no—
1595C23—861no—
1596C23—861no—
1597C23—861no—
1598C23—861no—
1599C23—861no—
1600C23—861no—
1601C23—861no—
1602C23—861no—
1603C23—861no—
1604C23—861no—
1605C23—861no—
1606C23—861no—
1607C23—861no—
1608C23—861no—
1609C23—861no—
1610C23—1724no—
1611C23—1724no—
1612C23—1724no—
1613C23—1724no—
1614C23—1724no—
1615C23—1724no—
1616C23—1724no—
1617C23—1724no—
1618C23—1724no—
1619C23—1724no—
1620C23—1724no—
1621C23—1724no—
1622C23C2×D4×D4312yes—
1623C23#41×D4312yes—
1624C23#41×D4312yes—
1625C23C24×D4311yescharacteristic
1626D4—28no—
1627D4—44no—
1628D4—44no—
1629D4—868no—
1630D4—868no—
1631D4—868no—
1632D4—1724no—
1633D4—1724no—
1634D4—1724no—
1635D4—1724no—
1636D4—1724no—
1637D4—1724no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—432no—
1674C2×C4—432no—
1675C2×C4—432no—
1676C2×C4—432no—
1677C2×C4—868no—
1678C2×C4—868no—
1679C2×C4—868no—
1680C2×C4—868no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—861no—
1695C2×C4—861no—
1696C2×C4—861no—
1697C2×C4—861no—
1698C2×C4—861no—
1699C2×C4—861no—
1700C2×C4—861no—
1701C2×C4—861no—
1702C2×C4—861no—
1703C2×C4—861no—
1704C2×C4—861no—
1705C2×C4—861no—
1706C2×C4—861no—
1707C2×C4—861no—
1708C2×C4—861no—
1709C2×C4—861no—
1710C2×C4—861no—
1711C2×C4—861no—
1712C2×C4—861no—
1713C2×C4—1724no—
1714C2×C4—1724no—
1715C2×C4—1724no—
1716C2×C4—1724no—
1717C2×C4—1724no—
1718C2×C4—1724no—
1719C2×C4—1724no—
1720C2×C4—1724no—
1721C2×C4—1724no—
1722C2×C4—1724no—
1723C2×C4—1724no—
1724C2×C4—1724no—
1725C2×C4—1724no—
1726C2×C4—1724no—
1727C2×C4—1724no—
1728C2×C4—1724no—
1729C2×C4—1724no—
1730C2×C4C2×D4×D4312yes—
1731C2×C4C2×D4×D4312yes—
1732C2×C4#41×D4312yes—
1733C2×C4#41×D4312yes—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—434no—
1756C22—434no—
1757C22—434no—
1758C22—434no—
1759C22—434no—
1760C22—434no—
1761C22—434no—
1762C22—862no—
1763C22—862no—
1764C22—862no—
1765C22—862no—
1766C22—862no—
1767C22—862no—
1768C22—862no—
1769C22—862no—
1770C22—862no—
1771C22—17216no—
1772C22—17216no—
1773C22—17216no—
1774C22—1721no—
1775C22—1721no—
1776C22—1721no—
1777C22—1721no—
1778C22—1721no—
1779C22—1721no—
1780C22—1721no—
1781C22—1721no—
1782C22—1721no—
1783C22—1721no—
1784C22—1721no—
1785C22—1721no—
1786C22C22×D4×D4311yescharacteristic
1787C22C2×#41×D4311yescharacteristic
1788C22C2×#41×D4311yescharacteristic
1789C22C2×#41×D4311yescharacteristic
1790C22C2×#41×D4311yescharacteristic
1791C22H(5,𝔽2)×D4311yescharacteristic
1792C22H(5,𝔽2)×D4311yescharacteristic
1793C4—22no—
1794C4—22no—
1795C4—22no—
1796C4—22no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—862no—
1806C4—862no—
1807C4—862no—
1808C4—862no—
1809C4—1721no—
1810C4—1721no—
1811C4—1721no—
1812C4—1721no—
1813C4—1721no—
1814C4—1721no—
1815C4—1721no—
1816C4—1721no—
1817C2—42no—
1818C2—42no—
1819C2—42no—
1820C2—438no—
1821C2—1722no—
1822C2—1722no—
1823C2—1722no—
1824C2#525×D4311yescharacteristic
1825C2#529×D4311yescharacteristic
1826C2#540×D4311yescharacteristic
1827C2#546×D4311yescharacteristic
1828C2#546×D4311yescharacteristic
1829C2#551×D4311yescharacteristic
1830C2#553×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2457C2
prime radical#392×D43C2
hypercenter#2457D43
hypocenterC43C2×#2457
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2457

Complements

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

NH ≅ G/Ntype
1. C2×#123×D43C2semidirect
2. C2×C4×D4×D43C2semidirect
3. #19138509C2semidirect
4. #19138508C2semidirect
5. #19138507C2semidirect
6. #19138506C2semidirect
7. #19138505C2semidirect
8. #19138504C2semidirect
9. #19138503C2semidirect
10. #19138502C2semidirect
11. #19138501C2semidirect
12. #19138500C2semidirect
13. #19138499C2semidirect
14. #19138498C2semidirect
15. #19138497C2semidirect
16. #19138496C2semidirect
17. #19138495C2semidirect
18. #400×D43C2semidirect
19. #396×D43C2semidirect
20. #394×D43C2semidirect
22. #388×D43C2semidirect
23. #388×D43C2semidirect
24. #387×D43C2semidirect
25. #386×D43C2semidirect
26. #386×D43C2semidirect
27. #386×D43C2semidirect
28. #381×D43C2semidirect
29. #380×D43C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C43×#2457C2semidirect
38. C2×#13063310C22semidirect
39. C2×#13063310C22semidirect
40. C2×#13063309C22semidirect
41. C2×#13063308C22semidirect
42. C2×#13063307C22semidirect
43. C2×#13063307C22semidirect
44. C2×#13063306C22semidirect
46. C2×C4×D172C22semidirect
47. C2×D4×Dic43C22semidirect
48. C2×#13063287C22semidirect
49. C2×C4×C22⋊D43C22semidirect
50. C2×C4×C22⋊D43C22semidirect
51. C2×(C22⋊D43)⋊C4C22semidirect
52. C2×(C22⋊D43)⋊C4C22semidirect
73. #14582841C22semidirect
74. #14582841C22semidirect
75. #14582840C22semidirect
76. #14582840C22semidirect
77. #14582839C22semidirect
78. #14582838C22semidirect
79. #14582837C22semidirect
80. #14582823C22semidirect
81. #14582822C22semidirect
82. #14582822C22semidirect
83. #14582822C22semidirect
84. #14582821C22semidirect
85. #14582821C22semidirect
86. #14582821C22semidirect
87. #14582817C22semidirect
88. #14582816C22semidirect
89. #14582815C22semidirect
90. #14582815C22semidirect
91. #14582814C22semidirect
92. #14582814C22semidirect
93. #14582813C22semidirect
101. #14582793C22semidirect
102. #14582793C22semidirect
103. #14582792C22semidirect
104. #14582792C22semidirect
105. #14582791C22semidirect
106. #14582791C22semidirect
107. #14582790C22semidirect
108. #14582790C22semidirect
109. #14582789C22semidirect
110. #14582789C22semidirect
111. #14582788C22semidirect
112. #14582788C22semidirect
113. #14582787C22semidirect
114. #14582787C22semidirect
115. #14582786C22semidirect
116. #14582785C22semidirect
117. #14582784C22semidirect
118. #14582783C22semidirect
119. #14582782C22semidirect
120. #14582781C22semidirect
121. #14582780C22semidirect
122. #14582779C22semidirect
123. #14582779C22semidirect
124. #14582779C22semidirect
125. #14582778C22semidirect
126. #14582778C22semidirect
127. #14582778C22semidirect
128. #14582777C22semidirect
129. #14582777C22semidirect
130. #14582777C22semidirect
131. #14582777C22semidirect
132. #14582777C22semidirect
133. #14582777C22semidirect
134. #14582776C22semidirect
135. #14582776C22semidirect
136. #14582776C22semidirect
137. #14582775C22semidirect
138. #14582775C22semidirect
139. #14582775C22semidirect
140. #14582775C22semidirect
141. #14582775C22semidirect
142. #14582775C22semidirect
143. #14582762C22semidirect
144. #14582761C22semidirect
145. #14582761C22semidirect
146. #14582761C22semidirect
147. #14582761C22semidirect
148. #14582760C22semidirect
149. #14582760C22semidirect
150. #14582759C22semidirect
151. #14582758C22semidirect
152. #14582758C22semidirect
153. #14582757C22semidirect
154. #14582757C22semidirect
155. #14582756C22semidirect
156. #14582756C22semidirect
157. C22⋊C4×Dic43C22semidirect
158. C22⋊C4×Dic43C22semidirect
159. C4×(C2×D43)⋊C4C22semidirect
160. C4×(C2×D43)⋊C4C22semidirect
161. C4×C22⋊Dic43C22semidirect
162. #14582746C22semidirect
163. #14582746C22semidirect
174. C2×#123×C43C22semidirect
175. C2×C4×D4×C43C22semidirect
176. C43×#400C22semidirect
177. C43×#396C22semidirect
178. C43×#394C22semidirect
180. C43×#388C22semidirect
181. C43×#388C22semidirect
182. C43×#387C22semidirect
183. C43×#386C22semidirect
184. C43×#386C22semidirect
185. C43×#386C22semidirect
186. C43×#381C22semidirect
187. C43×#380C22semidirect
188. C4×C22⋊C4×C43C22semidirect
321. C22⋊C4×D43D4semidirect
579. C22⋊C4×C43C2×D4semidirect
593. C22⋊Dic43C2×D4semidirect
616. (C2×D43)⋊C4C2×D4semidirect
617. (C2×D43)⋊C4C2×D4semidirect
919. #2457D43direct (N × H)
946. D43#2457direct (N × H)
961. C2×#123C2×D43semidirect
970. C2×C4×D4C2×D43semidirect
997. #400C2×D43semidirect
1005. #396C2×D43semidirect
1013. #394C2×D43semidirect
1036. #388C2×D43semidirect
1037. #388C2×D43semidirect
1045. #387C2×D43semidirect
1067. #386C2×D43semidirect
1068. #386C2×D43semidirect
1069. #386C2×D43semidirect
1077. #381C2×D43semidirect
1085. #380C2×D43semidirect
1093. C4×C22⋊C4C2×D43semidirect
1104. C43C2×#2457semidirect
1546. C22⋊C4D4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D432
C2×C4×D4×D432
#191385092
#191385082
#191385072
#191385062
#191385052
#191385042
#191385032
#191385022
#191385012
#191385002
#191384992
#191384982
#191384972
#191384962
#191384952
#400×D432
#396×D432
#394×D432
#392×D432
#388×D432
#387×D432
#386×D432
#381×D432
#380×D432
C4×C22⋊C4×D432
C43×#24572
C2×#245743