Finite Group Databasebeta

← #26005306

Subgroups — #26005306

Order 11008.

6538 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149219C214yesmaximal, complemented
2#19149213C214yesmaximal, complemented
3#19149201C212yesmaximal, complemented
4#19149198C212yesmaximal, complemented
5#19149167C212yesmaximal, complemented
6#19149165C212yesmaximal, complemented
7#19149048C214yesmaximal, complemented
8#19149040C212yesmaximal, complemented
9#19149032C212yesmaximal, complemented
10#19148691C212yesmaximal, complemented
11#19148689C212yesmaximal, complemented
12#19148646C212yesmaximal, complemented
13#19148644C212yesmaximal, complemented
14#19148584C214yesmaximal, complemented
15#19148578C214yesmaximal, complemented
16#19148434C212yesmaximal, complemented
17#19148429C212yesmaximal, complemented
18#19148398C212yesmaximal, complemented
19#19148391C212yesmaximal, complemented
20#19148347C214yesmaximal, complemented
21#19148335C214yesmaximal, complemented
22#19148291C214yesmaximal, complemented
23C2×#14583456C211yesmaximal, characteristic, complemented
24C2×#14583433C211yesmaximal, characteristic, complemented
25C2×C43×#529C211yesmaximal, characteristic, complemented
26C43⋊#564C2214yescomplemented
27#14583653C2214yescomplemented
28#14583651C2218yescomplemented
29#14583651C2218yescomplemented
30#14583649C2214yescomplemented
31#14583643C2214yescomplemented
32#14583628C2212yescomplemented
33#14583627C2214yescomplemented
34#14583627C2212yescomplemented
35#14583626C2214yescomplemented
36#14583622C2214yescomplemented
37#14583622C2212yescomplemented
38#14583619C2212yescomplemented
39#14583618C2214yescomplemented
40#14583617C2218yescomplemented
41#14583616C2218yescomplemented
42#14583608C2218yescomplemented
43#14583608C2218yescomplemented
44#14583607C2214yescomplemented
45#14583606C2214yescomplemented
46#14583606C2214yescomplemented
47#14583604C2218yescomplemented
48#14583604C2214yescomplemented
49#14583603C2218yescomplemented
50#14583601C2214yescomplemented
51#14583598C2218yescomplemented
52#14583595C2214yescomplemented
53#14583592C2218yescomplemented
54#14583589C2214yescomplemented
55#14583589C2214yescomplemented
56#14583588C2218yescomplemented
57#14583587C2214yescomplemented
58#14583586C2218yescomplemented
59#14583586C2218yescomplemented
60#14583585C2218yescomplemented
61#14583584C2218yescomplemented
62#14583584C2218yescomplemented
63#14583584C2214yescomplemented
64#14583582C2218yescomplemented
65#14583582C2218yescomplemented
66#14583578C2218yescomplemented
67#14583575C2218yescomplemented
68#14583575C2218yescomplemented
69#14583575C2218yescomplemented
70#14583572C2218yescomplemented
71#14583572C2218yescomplemented
72Q8×D172C2212yescomplemented
73D4×Dic86C2214yescomplemented
74D4×Dic86C2212yescomplemented
75D4×Dic86C2214yescomplemented
76Q8×C22⋊D43C2214yescomplemented
77#14583562C2214yescomplemented
78#14583558C2214yescomplemented
79#14583558C2214yescomplemented
80#14583557C2214yescomplemented
81#14583555C2214yescomplemented
82#14583554C2212yescomplemented
83#14583553C2212yescomplemented
84#14583545C2214yescomplemented
85#14583543C2214yescomplemented
86#14583530C2214yescomplemented
87#14583529C2214yescomplemented
88#14583528C2214yescomplemented
89#14583527C2214yescomplemented
90#14583525C2214yes—
91#14583525C2214yescomplemented
92#14583524C2214yescomplemented
93#14583520C2214yescomplemented
94#14583520C2214yescomplemented
95#14583518C2214yescomplemented
96#14583515C2218yescomplemented
97#14583514C2214yescomplemented
98#14583513C2218yescomplemented
99#14583512C2214yescomplemented
100#14583511C2214yescomplemented
101#14583511C2214yescomplemented
102#14583508C2218yescomplemented
103#14583507C2214yescomplemented
104#14583507C2218yescomplemented
105#14583506C2218yescomplemented
106#14583506C2218yescomplemented
107#14583496C2214yes—
108#14583494C2214yes—
109#14583493C2218yescomplemented
110#14583493C2218yescomplemented
111#14583491C2218yescomplemented
112#14583490C2218yescomplemented
113#14583487C2214yes—
114#14583486C2214yes—
115#14583475C2214yescomplemented
116#14583469C2214yescomplemented
117#14583458C2214yes—
118#14583456C2212yescomplemented
119#14583456C2212yescomplemented
120#14583456C2214yescomplemented
121#14583456C2212yescomplemented
122#14583456C2212yescomplemented
123#14583456C2212yescomplemented
124#14583456C2212yescomplemented
125#14583456C2212yescomplemented
126#14583456C2212yescomplemented
127#14583451C2214yescomplemented
128C2×#13063325C2211yescharacteristic, complemented
129C2×#13063325C2211yescharacteristic, complemented
130#14583433C2212yes—
131#14583433C2214yes—
132#14583433C2212yes—
133#14583433C2212yes—
134#14583433C2212yes—
135#14583433C2212yescomplemented
136#14583433C2212yescomplemented
137#14583433C2212yescomplemented
138#14583433C2212yescomplemented
139#14583430C2214yes—
140#14583426C2218yescomplemented
141#14583426C2218yescomplemented
142C2×#13063319C2212yescomplemented
143C2×#13063317C2211yescharacteristic, complemented
144C2×#13063317C2212yescomplemented
145C2×#13063313C2211yescharacteristic, complemented
146#14583410C2214yes—
147#14583409C2214yes—
148C2×#13063308C2212yes—
149C2×#13063304C2211yescharacteristic
150C2×#13063304C2212yes—
151C2×#13063304C2212yes—
152C2×#13063304C2214yescomplemented
153C22⋊Q8×D43C2214yescomplemented
154C2×#13063299C2211yescharacteristic
155#14583379C2214yescomplemented
156#14583378C2214yescomplemented
157#14583376C2214yescomplemented
158#14583375C2214yescomplemented
159#14583374C2214yes—
160#14583372C2214yes—
161C2×C4×Dic86C2212yescomplemented
162C2×C4×Dic86C2212yescomplemented
163C2×C4×Dic86C2211yescharacteristic, complemented
164C2×C4×D172C2211yescharacteristic, complemented
165C2×C4×C22⋊D43C2212yes—
166C2×#13063284C2212yes—
167C2×#13063282C2212yescomplemented
168C43×#529C2212yes—
169C43×#529C2212yes—
170C43×#529C2212yes—
171C43×#529C2212yes—
172C43×#529C2212yescomplemented
173C43×#529C2212yescomplemented
174C43×#529C2212yescomplemented
175C43×#529C2212yescomplemented
176C2×#126×C43C2212yescomplemented
177C2×#125×C43C2211yescharacteristic, complemented
178C2×#124×C43C2211yescharacteristic, complemented
179C2×#123×C43C2212yes—
180C2×C22⋊Q8×C43C2211yescharacteristic
181C2×#121×C43C2211yescharacteristic
182C2×C4×Q8×C43C2211yescharacteristic, complemented
183C2×C4×D4×C43C2212yes—
184C2×C4×D4×C43C2211yescharacteristic, complemented
185C2×#117×C43C2212yescomplemented
186C22×C42×C43C2211yescharacteristic
187C2×#10621898C2314yes—
188C2×#10621900C2314yes—
189C22×Dic86C2312yes—
190C22×Dic86C2312yes—
191C22×Dic86C2314yes—
192C22×Dic86C2311yescharacteristic
193C2×Q8×D43C2314yes—
194C22×D172C2311yescharacteristic
195C22×C22⋊D43C2312yes—
196C22×C4×D43C2312yes—
197#13063325C2312yes—
198#13063325C2312yes—
199#13063325C2314yes—
200#13063325C2314yes—
201#13063325C2312yes—
202#13063325C2312yes—
203#13063325C2312yes—
204#13063325C2312yes—
205#13063325C2312yes—
206#13063325C2312yes—
207#13063324C2318yes—
208#13063324C2314yes—
209#13063324C2318yes—
210#13063324C2318yes—
211#13063323C2314yes—
212#13063323C2318yes—
213#13063320C2318yes—
214#13063320C2318yes—
215#13063320C2318yes—
216#13063320C2318yes—
217#13063320C2318yes—
218#13063320C2318yes—
219#13063319C2318yes—
220#13063319C2314yes—
221#13063319C2314yes—
222#13063319C2314yes—
223#13063319C2314yes—
224#13063318C2318yes—
225#13063318C2318yes—
226#13063318C2318yes—
227#13063318C2318yes—
228#13063318C2318yes—
229#13063318C2318yes—
230#13063318C2318yes—
231#13063317C2314yes—
232#13063317C2318yes—
233#13063317C2312yes—
234#13063317C2314yes—
235#13063317C2314yes—
236#13063317C2312yes—
237#13063317C2312yes—
238#13063317C2312yes—
239#13063317C2314yes—
240#13063317C2314yes—
241#13063316C2318yes—
242#13063316C2318yes—
243#13063316C2314yes—
244#13063316C2318yes—
245#13063316C2318yes—
246#13063315C2318yes—
247#13063315C2318yes—
248#13063315C2318yes—
249#13063315C2318yes—
250#13063315C2318yes—
251#13063315C2318yes—
252#13063315C2318yes—
253#13063315C2318yes—
254#13063315C2318yes—
255#13063313C2312yes—
256#13063313C2314yes—
257#13063313C2312yes—
258#13063313C2312yes—
259#13063313C2312yes—
260#13063312C2314yes—
261#13063311C2318yes—
262#13063311C2318yes—
263#13063311C2318yes—
264#13063311C2318yes—
265#13063310C2318yes—
266#13063309C2318yes—
267#13063309C2318yes—
268#13063309C2318yes—
269#13063308C2314yes—
270#13063308C2314yes—
271#13063308C2318yes—
272#13063308C2318yes—
273#13063308C2314yes—
274#13063308C2314yes—
275#13063307C2318yes—
276#13063307C2318yes—
277#13063307C2318yes—
278#13063307C2318yes—
279#13063306C2318yes—
280#13063306C2318yes—
281#13063305C2314yes—
282#13063305C2314yes—
283#13063305C2318yes—
284#13063305C2318yes—
285#13063305C2318yes—
286#13063304C2314yes—
287#13063304C2314yes—
288#13063304C2314yes—
289#13063304C2318yes—
290#13063304C2314yes—
291#13063304C2312yes—
292#13063304C2314yes—
293#13063304C2314yes—
294#13063304C2318yes—
295#13063304C2314yes—
296#13063304C2318yes—
297#13063304C2312yes—
298#13063304C2314yes—
299#13063304C2312yes—
300#13063304C2314yes—
301#13063304C2312yes—
302#13063304C2314yes—
303#13063304C2314yes—
304#13063303C2318yes—
305#13063303C2318yes—
306#13063303C2318yes—
307#13063303C2318yes—
308#13063302C2318yes—
309#13063302C2318yes—
310#13063302C2318yes—
311#13063302C2318yes—
312#13063302C2318yes—
313#13063302C2318yes—
314#13063302C2318yes—
315#13063302C2318yes—
316#13063302C2318yes—
317#13063302C2318yes—
318#13063302C2318yes—
319#13063301C2314yes—
320#13063301C2318yes—
321#13063299C2314yes—
322#13063299C2312yes—
323#13063299C2312yes—
324#13063299C2312yes—
325#13063299C2312yes—
326#13063298C2318yes—
327#13063297C2318yes—
328#13063297C2318yes—
329#13063297C2318yes—
330#13063296C2314yes—
331#13063294C2318yes—
332#13063293C2318yes—
333Q8×Dic43C2314yes—
334C4×Dic86C2314yes—
335C4×Dic86C2314yes—
336C4×Dic86C2314yes—
337C4×Dic86C2314yes—
338C4×Dic86C2314yes—
339C4×Dic86C2312yes—
340C4×Dic86C2314yes—
341C4×Dic86C2318yes—
342C4×Dic86C2314yes—
343C4×Dic86C2312yes—
344C4×Dic86C2314yes—
345C4×Dic86C2312yes—
346C4×Dic86C2314yes—
347C4×Dic86C2312yes—
348C4×Dic86C2314yes—
349C4×Dic86C2314yes—
350#13063290C2314yes—
351#13063290C2314yes—
352#13063290C2318yes—
353#13063290C2318yes—
354#13063290C2318yes—
355C4×D172C2312yes—
356C4×D172C2312yes—
357C4×D172C2314yes—
358C4×D172C2312yes—
359C4×D172C2312yes—
360D4×Dic43C2318yes—
361D4×Dic43C2318yes—
362D4×Dic43C2318yes—
363D4×Dic43C2314yes—
364D4×Dic43C2318yes—
365C4×C22⋊D43C2314yes—
366C4×C22⋊D43C2318yes—
367C4×C22⋊D43C2314yes—
368C4×C22⋊D43C2314yes—
369C4×C22⋊D43C2318yes—
370C4×C22⋊D43C2318yes—
371C4×C22⋊D43C2314yes—
372(C22⋊D43)⋊C4C2318yes—
373(C22⋊D43)⋊C4C2318yes—
374(C22⋊D43)⋊C4C2318yes—
375(C22⋊D43)⋊C4C2318yes—
376(C22⋊D43)⋊C4C2318yes—
377#13063284C2314yes—
378#13063284C2314yes—
379#13063284C2314yes—
380#13063284C2314yes—
381#13063284C2318yes—
382#13063284C2314yes—
383#13063283C2318yes—
384#13063283C2318yes—
385#13063283C2314yes—
386#13063282C2318yes—
387#13063282C2314yes—
388#13063282C2314yes—
389#13063282C2314yes—
390#13063282C2314yes—
391#13063281C2318yes—
392#13063281C2318yes—
393#13063281C2318yes—
394#13063281C2318yes—
395C2×C4⋊Dic43C2314yes—
396C2×C4⋊Dic43C2311yescharacteristic
397C2×C4⋊Dic43C2312yes—
398C2×C4⋊Dic43C2312yes—
399C2×C4⋊Dic43C2311yescharacteristic
400C2×C4⋊Dic43C2312yes—
401C2×C4⋊Dic43C2312yes—
402C2×Dic43⋊C4C2318yes—
403C2×Dic43⋊C4C2312yes—
404C2×Dic43⋊C4C2312yes—
405C2×Dic43⋊C4C2314yes—
406C2×Dic43⋊C4C2314yes—
407C2×Dic43⋊C4C2312yes—
408C2×Dic43⋊C4C2312yes—
409C4⋊C4×D43C2314yes—
410C4⋊C4×D43C2318yes—
411C2×C22⋊Dic43C2318yes—
412C2×C22⋊Dic43C2314yes—
413C2×C22⋊Dic43C2312yes—
414C2×(C2×D43)⋊C4C2312yes—
415C2×(C2×D43)⋊C4C2312yes—
416C2×(C2×D43)⋊C4C2312yes—
417C2×(C2×D43)⋊C4C2312yes—
418C22⋊C4×D43C2318yes—
419C2×C4×Dic43C2312yes—
420C2×C4×Dic43C2314yes—
421C22×Q8×C43C2311yescharacteristic
422C22×D4×C43C2312yes—
423C22×D4×C43C2311yescharacteristic
424C23×C4×C43C2311yescharacteristic
425C23×C4×C43C2311yescharacteristic
426C23×C4×C43C2311yescharacteristic
427C23×C4×C43C2312yes—
428#126×C43C2314yes—
429#126×C43C2314yes—
430#126×C43C2314yes—
431#126×C43C2314yes—
432#125×C43C2312yes—
433#125×C43C2312yes—
434#125×C43C2312yes—
435#125×C43C2312yes—
436#124×C43C2312yes—
437#124×C43C2312yes—
438#124×C43C2312yes—
439#124×C43C2312yes—
440#123×C43C2314yes—
441#123×C43C2314yes—
442#123×C43C2314yes—
443#123×C43C2314yes—
444C22⋊Q8×C43C2312yes—
445C22⋊Q8×C43C2312yes—
446C22⋊Q8×C43C2312yes—
447C22⋊Q8×C43C2312yes—
448#121×C43C2312yes—
449#121×C43C2312yes—
450#121×C43C2312yes—
451#121×C43C2312yes—
452C4×Q8×C43C2312yes—
453C4×Q8×C43C2312yes—
454C4×Q8×C43C2312yes—
455C4×Q8×C43C2312yes—
456C4×D4×C43C2312yes—
457C4×D4×C43C2312yes—
458C4×D4×C43C2314yes—
459C4×D4×C43C2314yes—
460C4×D4×C43C2314yes—
461C4×D4×C43C2314yes—
462C4×D4×C43C2312yes—
463C4×D4×C43C2312yes—
464#117×C43C2314yes—
465#117×C43C2314yes—
466#117×C43C2314yes—
467#117×C43C2314yes—
468C2×C4⋊C4×C43C2312yes—
469C2×C4⋊C4×C43C2312yes—
470C2×C4⋊C4×C43C2312yes—
471C2×C4⋊C4×C43C2311yescharacteristic
472C2×C4⋊C4×C43C2311yescharacteristic
473C2×C4⋊C4×C43C2312yes—
474C2×C22⋊C4×C43C2312yes—
475C2×C22⋊C4×C43C2312yes—
476C2×C22⋊C4×C43C2312yes—
477C2×C22⋊C4×C43C2312yes—
478C2×C22⋊C4×C43C2312yes—
479C2×C42×C43C2311yescharacteristic
480C2×C42×C43C2311yescharacteristic
481C2×C42×C43C2311yescharacteristic
482C2×C42×C43C2311yescharacteristic
483C2×C42×C43C2311yescharacteristic
484C2×C42×C43C2311yescharacteristic
485C2×C42×C43C2311yescharacteristic
486C2×C42×C43C2311yescharacteristic
487C2×C42×C43C2311yescharacteristic
488C2×C42×C43C2311yescharacteristic
489C2×C42×C43C2311yescharacteristic
490C2×C42×C43C2311yescharacteristic
491C2×C42×C43C2312yes—
492C24×C43C2412yes—
493C24×C43C2411yescharacteristic
494C23×D43C2412yes—
495C2×Q8×C43—42no—
496C2×Q8×C43C2412yes—
497C2×Q8×C43C2412yes—
498C2×D4×C43—28no—
499C2×D4×C43—42no—
500C2×D4×C43C2414yes—
501C2×D4×C43C2414yes—
502C2×D4×C43C2412yes—
503C2×D4×C43C2412yes—
504C22×C4×C43—24no—
505C22×C4×C43—42no—
506C22×C4×C43—42no—
507C22×C4×C43—44no—
508C22×C4×C43C2411yescharacteristic
509C22×C4×C43C2411yescharacteristic
510C22×C4×C43C2411yescharacteristic
511C22×C4×C43C2411yescharacteristic
512C22×C4×C43C2411yescharacteristic
513C22×C4×C43C2411yescharacteristic
514C22×C4×C43C2411yescharacteristic
515C22×C4×C43C2411yescharacteristic
516C22×C4×C43C2411yescharacteristic
517C22×C4×C43C2411yescharacteristic
518C22×C4×C43C2411yescharacteristic
519C22×C4×C43C2411yescharacteristic
520C22×C4×C43C2412yes—
521C22×C4×C43C2414yes—
522C22×C4×C43C2411yescharacteristic
523C22×C4×C43C2411yescharacteristic
524C22×C4×C43C2411yescharacteristic
525C22×C4×C43C2411yescharacteristic
526C22×C4×C43C2411yescharacteristic
527C22×C4×C43C2411yescharacteristic
528C22×C4×C43C2412yes—
529C22×C4×C43C2412yes—
530C22×C4×C43C2414yes—
531C2×C22⋊D43—28no—
532C2×C22⋊D43C2414yes—
533C2×C22⋊D43C2414yes—
534C2×C22⋊D43C2418yes—
535C2×C22⋊D43C2418yes—
536C22×Dic43C2412yes—
537C22×Dic43C2412yes—
538C22×Dic43C2414yes—
539C22×Dic43C2414yes—
540C22×Dic43C2412yes—
541C22×Dic43C2418yes—
542C22×Dic43C2418yes—
543Q8×D43—48no—
544#10621900—48no—
545#10621898—48no—
546C2×D172—42no—
547C2×D172C2412yes—
548C2×D172C2412yes—
549C2×C4×D43—44no—
550C2×C4×D43C2414yes—
551C2×C4×D43C2418yes—
552C2×C4×D43C2418yes—
553C2×C4×D43C2414yes—
554C2×Dic86—42no—
555C2×Dic86—48no—
556C2×Dic86—44no—
557C2×Dic86—44no—
558C2×Dic86C2414yes—
559C2×Dic86C2412yes—
560C2×Dic86C2414yes—
561C2×Dic86C2418yes—
562C2×Dic86C2418yes—
563C2×Dic86C2412yes—
564C2×Dic86C2414yes—
565C2×Dic86C2414yes—
566C4⋊C4×C43C2414yes—
567C4⋊C4×C43C2414yes—
568C4⋊C4×C43C2414yes—
569C4⋊C4×C43C2414yes—
570C4⋊C4×C43C2412yes—
571C4⋊C4×C43C2412yes—
572C4⋊C4×C43C2414yes—
573C4⋊C4×C43C2414yes—
574C4⋊C4×C43C2412yes—
575C4⋊C4×C43C2412yes—
576C4⋊C4×C43C2414yes—
577C4⋊C4×C43C2414yes—
578C22⋊C4×C43C2414yes—
579C22⋊C4×C43C2414yes—
580C22⋊C4×C43C2414yes—
581C22⋊C4×C43C2414yes—
582C22⋊C4×C43C2414yes—
583C22⋊C4×C43C2414yes—
584C22⋊C4×C43C2414yes—
585C22⋊C4×C43C2414yes—
586C22⋊C4×C43C2414yes—
587C22⋊C4×C43C2414yes—
588C42×C43C2411yescharacteristic
589C42×C43C2411yescharacteristic
590C42×C43C2411yescharacteristic
591C42×C43C2411yescharacteristic
592C42×C43C2411yescharacteristic
593C42×C43C2411yescharacteristic
594C42×C43C2411yescharacteristic
595C42×C43C2411yescharacteristic
596C42×C43C2411yescharacteristic
597C42×C43C2411yescharacteristic
598C42×C43C2411yescharacteristic
599C42×C43C2411yescharacteristic
600C42×C43C2411yescharacteristic
601C42×C43C2411yescharacteristic
602C42×C43C2411yescharacteristic
603C42×C43C2411yescharacteristic
604C42×C43C2414yes—
605C42×C43C2414yes—
606C22⋊Dic43C2418yes—
607C22⋊Dic43C2414yes—
608C22⋊Dic43C2418yes—
609C22⋊Dic43C2414yes—
610C22⋊Dic43C2418yes—
611C22⋊Dic43C2418yes—
612C22⋊Dic43C2418yes—
613C22⋊Dic43C2418yes—
614(C2×D43)⋊C4C2418yes—
615(C2×D43)⋊C4C2418yes—
616(C2×D43)⋊C4C2414yes—
617(C2×D43)⋊C4C2414yes—
618(C2×D43)⋊C4C2414yes—
619(C2×D43)⋊C4C2414yes—
620(C2×D43)⋊C4C2414yes—
621(C2×D43)⋊C4C2414yes—
622(C2×D43)⋊C4C2414yes—
623(C2×D43)⋊C4C2414yes—
624(C2×D43)⋊C4C2418yes—
625(C2×D43)⋊C4C2418yes—
626C4⋊Dic43C2414yes—
627C4⋊Dic43C2418yes—
628C4⋊Dic43C2412yes—
629C4⋊Dic43C2414yes—
630C4⋊Dic43C2412yes—
631C4⋊Dic43C2414yes—
632C4⋊Dic43C2414yes—
633C4⋊Dic43C2414yes—
634C4⋊Dic43C2414yes—
635C4⋊Dic43C2412yes—
636C4⋊Dic43C2412yes—
637C4⋊Dic43C2414yes—
638C4⋊Dic43C2414yes—
639C4⋊Dic43C2418yes—
640C4⋊Dic43C2418yes—
641C4⋊Dic43C2418yes—
642Dic43⋊C4C2418yes—
643Dic43⋊C4C2418yes—
644Dic43⋊C4C2418yes—
645Dic43⋊C4C2414yes—
646Dic43⋊C4C2418yes—
647Dic43⋊C4C2414yes—
648Dic43⋊C4C2414yes—
649Dic43⋊C4C2414yes—
650Dic43⋊C4C2414yes—
651Dic43⋊C4C2418yes—
652Dic43⋊C4C2414yes—
653Dic43⋊C4C2414yes—
654Dic43⋊C4C2418yes—
655Dic43⋊C4C2418yes—
656Dic43⋊C4C2414yes—
657Dic43⋊C4C2418yes—
658Dic43⋊C4C2418yes—
659Dic43⋊C4C2418yes—
660Dic43⋊C4C2418yes—
661Dic43⋊C4C2418yes—
662C4×Dic43C2414yes—
663C4×Dic43C2418yes—
664C4×Dic43C2418yes—
665C4×Dic43C2414yes—
666C4×Dic43C2418yes—
667C4×Dic43C2418yes—
668C4×Dic43C2418yes—
669C4×Dic43C2418yes—
670C23×C43—24no—
671C23×C43—41no—
672C23×C43—41no—
673C23×C43—42no—
674C23×C43—42no—
675C23×C432−1+414yes—
676C23×C43C2514yes—
677C23×C43C2511yescharacteristic
678C23×C43C2511yescharacteristic
679C23×C43C2511yescharacteristic
680C22×D43—24no—
681C22×D43—42no—
682C22×D43—42no—
683C22×D43C2514yes—
684Q8×C43—24no—
685Q8×C43—42no—
686D4×C43—28no—
687D4×C43—28no—
688D4×C43—24no—
689D4×C43—42no—
690C2×C4×C43—22no—
691C2×C4×C43—22no—
692C2×C4×C43—22no—
693C2×C4×C43—22no—
694C2×C4×C43—22no—
695C2×C4×C43—22no—
696C2×C4×C43—24no—
697C2×C4×C43—22no—
698C2×C4×C43—22no—
699C2×C4×C43—22no—
700C2×C4×C43—28no—
701C2×C4×C43—22no—
702C2×C4×C43—22no—
703C2×C4×C43—22no—
704C2×C4×C43—41no—
705C2×C4×C43—41no—
706C2×C4×C43—41no—
707C2×C4×C43—41no—
708C2×C4×C43—42no—
709C2×C4×C43—44no—
710C2×C4×C43—41no—
711C2×C4×C43—41no—
712C2×C4×C43—42no—
713C2×C4×C43C2511yescharacteristic
714C2×C4×C43C2511yescharacteristic
715C2×C4×C43C2511yescharacteristic
716C2×C4×C43C2514yes—
717C2×C4×C43C2514yes—
718C2×C4×C43C2514yes—
719C2×C4×C43C2511yescharacteristic
720C2×C4×C43C2511yescharacteristic
721C2×C4×C43C2511yescharacteristic
722C2×C4×C43C2511yescharacteristic
723C2×C4×C43C2511yescharacteristic
724C2×C4×C43C2511yescharacteristic
725C2×C4×C43C2511yescharacteristic
726C2×C4×C43C2511yescharacteristic
727C2×C4×C43C2511yescharacteristic
728C22⋊D43—28no—
729C22⋊D43—28no—
730C22⋊D43—48no—
731C22⋊D43—48no—
732C2×Dic43—24no—
733C2×Dic43—42no—
734C2×Dic43—48no—
735C2×Dic43—44no—
736C2×Dic43—44no—
737C2×Dic43—42no—
738C2×Dic43—48no—
739C2×Dic43C2514yes—
740C2×Dic43C2518yes—
741C2×Dic43C2518yes—
742C2×Dic43C2514yes—
743C2×Dic43C2514yes—
744D172—24no—
745D172—42no—
746C4×D43—28no—
747C4×D43—44no—
748C4×D43—48no—
749C4×D43—48no—
750Dic86—24no—
751Dic86—28no—
752Dic86—28no—
753Dic86—42no—
754Dic86—48no—
755Dic86—44no—
756Dic86—44no—
757Dic86—48no—
758#62823—431nomaximal, Sylow
759C22×C43—21no—
760C22×C43—21no—
761C22×C43—21no—
762C22×C43—21no—
763C22×C43—21no—
764C22×C43—21no—
765C22×C43—24no—
766C22×C43—24no—
767C22×C43—24no—
768C22×C43—44no—
769C22×C43—84no—
770C22×C43C2×2−1+412yes—
771C22×C43C2×2−1+412yes—
772C22×C43C2×2−1+412yes—
773C22×C43C2611yescharacteristic
774C2×D43—24no—
775C2×D43—24no—
776C2×D43—24no—
777C2×D43—84no—
778C4×C43—21no—
779C4×C43—21no—
780C4×C43—21no—
781C4×C43—21no—
782C4×C43—24no—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—24no—
786C4×C43—24no—
787C4×C43—21no—
788C4×C43—21no—
789C4×C43—21no—
790C4×C43—21no—
791C4×C43#58512yes—
792C4×C43#58512yes—
793Dic43—24no—
794Dic43—24no—
795Dic43—28no—
796Dic43—28no—
797Dic43—24no—
798#3564—434no—
799#3564—434no—
800#3563—432no—
801#3563—432no—
802#3561—432no—
803#3561—432no—
804#3553—434no—
805#3552—432no—
806#3552—432no—
807#3523—432no—
808#3523—432no—
809#3520—432no—
810#3520—432no—
811#3516—434no—
812#3516—434no—
813#3505—432no—
814#3505—432no—
815#3501—432no—
816#3501—432no—
817#3495—434no—
818#3495—434no—
819#3491—434no—
820C2×#533—431no—
821C2×#529—431no—
822C2×#529D4311yescharacteristic, complemented
823C2×C43—22no—
824C2×C43—22no—
825C2×C43—22no—
826C2×C43—44no—
827C2×C43C22×2−1+411yescharacteristic
828C2×C43C2×#58511yescharacteristic
829C2×C43C2×#58511yescharacteristic
830D43—44no—
831#564—434no—
832#563—438no—
833#563—438no—
834#563—434no—
835#563—434no—
836#562—434no—
837#557—434no—
838#557—434no—
839#557—432no—
840#557—432no—
841#556—438no—
842#556—434no—
843#556—434no—
844#556—432no—
845#556—432no—
846#556—438no—
847#554—438no—
848#554—434no—
849#554—434no—
850#554—434no—
851#554—438no—
852#554—438no—
853#554—438no—
854#554—434no—
855#553—438no—
856#553—434no—
857#553—434no—
858#553—438no—
859#552—438no—
860#552—434no—
861#552—438no—
862#552—438no—
863#552—434no—
864#552—434no—
865#552—438no—
866#552—438no—
867#552—438no—
868#552—438no—
869#552—438no—
870#552—434no—
871#551—438no—
872#551—438no—
873#551—438no—
874#551—438no—
875#551—438no—
876#551—438no—
877D4×Q8—434no—
878D4×Q8—434no—
879D4×Q8—432no—
880D4×Q8—434no—
881D4×Q8—434no—
882D4×Q8—432no—
883#548—434no—
884#548—434no—
885#548—434no—
886#548—434no—
887#547—432no—
888#547—432no—
889#546—434no—
890#546—434no—
891#544—434no—
892#544—434no—
893#544—434no—
894#544—434no—
895#543—434no—
896#543—434no—
897#543—434no—
898#542—438no—
899#542—434no—
900#542—438no—
901#542—434no—
902#542—434no—
903#542—434no—
904#541—438no—
905#541—438no—
906#541—434no—
907#541—438no—
908#541—434no—
909#541—438no—
910#541—434no—
911#541—434no—
912#539—438no—
913#539—438no—
914#539—438no—
915#539—434no—
916#539—438no—
917#539—434no—
918#538—434no—
919#538—434no—
920#536—434no—
921#536—434no—
922#534—434no—
923#533—434no—
924#533—432no—
925#533—432no—
926#533—432no—
927#533—432no—
928#533—432no—
929#533—432no—
930#533—432no—
931#533—432no—
932#533—434no—
933C2×C4⋊Q8—431no—
934C2×C4⋊Q8—431no—
935#529—438no—
936#529—438no—
937#529—434no—
938#529—432no—
939#529—432no—
940#529—432no—
941#529—432no—
942#529—432no—
943#529—432no—
944#529—432no—
945#529—432no—
946#529—434no—
947#529C2×D4312yes—
948#529C2×D4312yes—
949#529C2×D4312yes—
950#529C2×D4312yes—
951#529C2×D4312yescomplemented
952#529C2×D4312yescomplemented
953#529C2×D4312yescomplemented
954#529C2×D4312yescomplemented
955C2×#126—432no—
956C2×#126C2×D4312yescomplemented
957C2×#125—431no—
958C2×#125—432no—
959C2×#125C2×D4311yescharacteristic, complemented
960C2×#124—431no—
961C2×#124C2×D4311yescharacteristic, complemented
962#525—434no—
963#525—434no—
964C2×#123—432no—
965C2×#123C2×D4312yes—
966C2×C22⋊Q8—431no—
967C2×C22⋊Q8—432no—
968C2×C22⋊Q8—432no—
969C2×C22⋊Q8—434no—
970C2×C22⋊Q8—434no—
971C2×C22⋊Q8C2×D4311yescharacteristic
972C2×#121—431no—
973C2×#121C2×D4311yescharacteristic
974#520—434no—
975#520—434no—
976#519—434no—
977#519—434no—
978#518—434no—
979#518—434no—
980C2×C4×Q8—431no—
981C2×C4×Q8—432no—
982C2×C4×Q8—432no—
983C2×C4×Q8C2×D4311yescharacteristic, complemented
984C2×C4×D4—432no—
985C2×C4×D4—431no—
986C2×C4×D4C2×D4312yes—
987C2×C4×D4C2×D4311yescharacteristic, complemented
988C2×#117—432no—
989C2×#117—432no—
990C2×#117C2×D4312yescomplemented
991C22×C42C2×D4311yescharacteristic
992C43#6282311yescharacteristic, complemented, Sylow
993C2×#41—434no—
994C2×#41—434no—
995C22×Q8—434no—
996C22×Q8—431no—
997C22×Q8—432no—
998C22×Q8—432no—
999C22×Q8—434no—
1000C22×Q8C22×D4311yescharacteristic
1001C22×D4—432no—
1002C22×D4—431no—
1003C22×D4C22×D4312yes—
1004C22×D4C22×D4311yescharacteristic
1005C23×C4—432no—
1006C23×C4C22×D4311yescharacteristic
1007C23×C4C22×D4312yes—
1008C23×C4C22×D4311yescharacteristic
1009C23×C4C22×D4311yescharacteristic
1010C4⋊Q8—434no—
1011C4⋊Q8—438no—
1012C4⋊Q8—434no—
1013C4⋊Q8—438no—
1014C4⋊Q8—438no—
1015C4⋊Q8—438no—
1016C4⋊Q8—432no—
1017C4⋊Q8—432no—
1018C4⋊Q8—432no—
1019C4⋊Q8—432no—
1020C4⋊Q8—432no—
1021C4⋊Q8—432no—
1022C4⋊Q8—432no—
1023C4⋊Q8—432no—
1024C4⋊Q8—434no—
1025C4⋊Q8—434no—
1026#126—438no—
1027#126—438no—
1028#126—438no—
1029#126—438no—
1030#126—438no—
1031#126—438no—
1032#126—438no—
1033#126—438no—
1034#126—438no—
1035#126—438no—
1036#126—438no—
1037#126—438no—
1038#126—438no—
1039#126—434no—
1040#126—434no—
1041#126—434no—
1042#126—434no—
1043#126—438no—
1044#126C22×D4314yes—
1045#126C22×D4314yes—
1046#126C22×D4314yes—
1047#126C22×D4314yes—
1048#125—438no—
1049#125—438no—
1050#125—434no—
1051#125—438no—
1052#125—438no—
1053#125—438no—
1054#125—438no—
1055#125—438no—
1056#125—438no—
1057#125—438no—
1058#125—438no—
1059#125—438no—
1060#125—438no—
1061#125—438no—
1062#125—432no—
1063#125—432no—
1064#125—432no—
1065#125—432no—
1066#125—434no—
1067#125—434no—
1068#125—434no—
1069#125—434no—
1070#125—434no—
1071#125—438no—
1072#125C22×D4312yes—
1073#125C22×D4312yes—
1074#125C22×D4312yes—
1075#125C22×D4312yes—
1076#124—434no—
1077#124—438no—
1078#124—438no—
1079#124—438no—
1080#124—438no—
1081#124—432no—
1082#124—432no—
1083#124—432no—
1084#124—432no—
1085#124—434no—
1086#124C22×D4312yes—
1087#124C22×D4312yes—
1088#124C22×D4312yes—
1089#124C22×D4312yes—
1090#123—438no—
1091#123—438no—
1092#123—434no—
1093#123—434no—
1094#123—434no—
1095#123—434no—
1096#123—438no—
1097#123—438no—
1098#123—438no—
1099#123—438no—
1100#123—438no—
1101#123—438no—
1102#123—438no—
1103#123—438no—
1104#123—438no—
1105#123—438no—
1106#123C22×D4314yes—
1107#123C22×D4314yes—
1108#123C22×D4314yes—
1109#123C22×D4314yes—
1110C22⋊Q8—434no—
1111C22⋊Q8—438no—
1112C22⋊Q8—432no—
1113C22⋊Q8—434no—
1114C22⋊Q8—434no—
1115C22⋊Q8—432no—
1116C22⋊Q8—432no—
1117C22⋊Q8—432no—
1118C22⋊Q8—434no—
1119C22⋊Q8—434no—
1120C22⋊Q8—434no—
1121C22⋊Q8—434no—
1122C22⋊Q8—434no—
1123C22⋊Q8—434no—
1124C22⋊Q8—438no—
1125C22⋊Q8—434no—
1126C22⋊Q8—434no—
1127C22⋊Q8—438no—
1128C22⋊Q8—434no—
1129C22⋊Q8—438no—
1130C22⋊Q8—438no—
1131C22⋊Q8—434no—
1132C22⋊Q8—434no—
1133C22⋊Q8—438no—
1134C22⋊Q8—438no—
1135C22⋊Q8—438no—
1136C22⋊Q8—438no—
1137C22⋊Q8—438no—
1138C22⋊Q8—438no—
1139C22⋊Q8—438no—
1140C22⋊Q8—438no—
1141C22⋊Q8—438no—
1142C22⋊Q8—438no—
1143C22⋊Q8—438no—
1144C22⋊Q8—438no—
1145C22⋊Q8—438no—
1146C22⋊Q8—438no—
1147C22⋊Q8—438no—
1148C22⋊Q8—438no—
1149C22⋊Q8—438no—
1150C22⋊Q8C22×D4312yes—
1151C22⋊Q8C22×D4312yes—
1152C22⋊Q8C22×D4312yes—
1153C22⋊Q8C22×D4312yes—
1154#121—434no—
1155#121—438no—
1156#121—438no—
1157#121—438no—
1158#121—432no—
1159#121—432no—
1160#121—432no—
1161#121—432no—
1162#121—434no—
1163#121—438no—
1164#121C22×D4312yes—
1165#121C22×D4312yes—
1166#121C22×D4312yes—
1167#121C22×D4312yes—
1168#120—438no—
1169#120—438no—
1170C4×Q8—434no—
1171C4×Q8—434no—
1172C4×Q8—438no—
1173C4×Q8—438no—
1174C4×Q8—438no—
1175C4×Q8—434no—
1176C4×Q8—432no—
1177C4×Q8—434no—
1178C4×Q8—434no—
1179C4×Q8—432no—
1180C4×Q8—432no—
1181C4×Q8—432no—
1182C4×Q8—434no—
1183C4×Q8—434no—
1184C4×Q8—434no—
1185C4×Q8—434no—
1186C4×Q8—434no—
1187C4×Q8—434no—
1188C4×Q8—434no—
1189C4×Q8—438no—
1190C4×Q8—434no—
1191C4×Q8—434no—
1192C4×Q8C22×D4312yes—
1193C4×Q8C22×D4312yes—
1194C4×Q8C22×D4312yes—
1195C4×Q8C22×D4312yes—
1196C4×D4—438no—
1197C4×D4—438no—
1198C4×D4—438no—
1199C4×D4—438no—
1200C4×D4—434no—
1201C4×D4—434no—
1202C4×D4—434no—
1203C4×D4—434no—
1204C4×D4—434no—
1205C4×D4—438no—
1206C4×D4—438no—
1207C4×D4—438no—
1208C4×D4—438no—
1209C4×D4—438no—
1210C4×D4—438no—
1211C4×D4—438no—
1212C4×D4—438no—
1213C4×D4—432no—
1214C4×D4—432no—
1215C4×D4—432no—
1216C4×D4—432no—
1217C4×D4—434no—
1218C4×D4C22×D4314yes—
1219C4×D4C22×D4314yes—
1220C4×D4C22×D4314yes—
1221C4×D4C22×D4314yes—
1222C4×D4C22×D4312yes—
1223C4×D4C22×D4312yes—
1224C4×D4C22×D4312yes—
1225C4×D4C22×D4312yes—
1226#117—434no—
1227#117—434no—
1228#117—434no—
1229#117—434no—
1230#117—438no—
1231#117—434no—
1232#117—434no—
1233#117—438no—
1234#117—438no—
1235#117—438no—
1236#117—438no—
1237#117—438no—
1238#117—438no—
1239#117—434no—
1240#117—434no—
1241#117—434no—
1242#117—434no—
1243#117—438no—
1244#117C22×D4314yes—
1245#117C22×D4314yes—
1246#117C22×D4314yes—
1247#117C22×D4314yes—
1248C2×C4⋊C4—432no—
1249C2×C4⋊C4—432no—
1250C2×C4⋊C4—432no—
1251C2×C4⋊C4—432no—
1252C2×C4⋊C4—431no—
1253C2×C4⋊C4—432no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—434no—
1256C2×C4⋊C4—434no—
1257C2×C4⋊C4—432no—
1258C2×C4⋊C4—432no—
1259C2×C4⋊C4—432no—
1260C2×C4⋊C4—438no—
1261C2×C4⋊C4—434no—
1262C2×C4⋊C4—438no—
1263C2×C4⋊C4—434no—
1264C2×C4⋊C4C22×D4312yes—
1265C2×C4⋊C4C22×D4312yes—
1266C2×C4⋊C4C22×D4312yes—
1267C2×C4⋊C4C22×D4311yescharacteristic
1268C2×C4⋊C4C22×D4311yescharacteristic
1269C2×C4⋊C4C22×D4312yes—
1270C2×C22⋊C4—434no—
1271C2×C22⋊C4—432no—
1272C2×C22⋊C4—438no—
1273C2×C22⋊C4—432no—
1274C2×C22⋊C4—432no—
1275C2×C22⋊C4—432no—
1276C2×C22⋊C4—432no—
1277C2×C22⋊C4—438no—
1278C2×C22⋊C4C22×D4312yes—
1279C2×C22⋊C4C22×D4312yes—
1280C2×C22⋊C4C22×D4312yes—
1281C2×C22⋊C4C22×D4312yes—
1282C2×C22⋊C4C22×D4312yes—
1283C2×C42—432no—
1284C2×C42—434no—
1285C2×C42C22×D4311yescharacteristic
1286C2×C42C22×D4311yescharacteristic
1287C2×C42C22×D4312yes—
1288C2×C42C22×D4311yescharacteristic
1289C2×C42C22×D4311yescharacteristic
1290C2×C42C22×D4311yescharacteristic
1291C2×C42C22×D4311yescharacteristic
1292C2×C42C22×D4311yescharacteristic
1293C2×C42C22×D4311yescharacteristic
1294C2×C42C22×D4311yescharacteristic
1295C2×C42C22×D4311yescharacteristic
1296C2×C42C22×D4311yescharacteristic
1297C2×C42C22×D4311yescharacteristic
1298C24—432no—
1299C24C23×D4312yes—
1300C24C23×D4311yescharacteristic
1301#41—1728no—
1302#41—1728no—
1303C2×Q8—42no—
1304C2×Q8—432no—
1305C2×Q8—434no—
1306C2×Q8—434no—
1307C2×Q8—438no—
1308C2×Q8—438no—
1309C2×Q8—432no—
1310C2×Q8—434no—
1311C2×Q8—434no—
1312C2×Q8—1722no—
1313C2×Q8—1724no—
1314C2×Q8—1724no—
1315C2×Q8—1728no—
1316C2×Q8—1728no—
1317C2×Q8C23×D4312yes—
1318C2×Q8C23×D4312yes—
1319C2×D4—28no—
1320C2×D4—42no—
1321C2×D4—434no—
1322C2×D4—434no—
1323C2×D4—438no—
1324C2×D4—438no—
1325C2×D4—432no—
1326C2×D4—432no—
1327C2×D4—868no—
1328C2×D4—1722no—
1329C2×D4C23×D4314yes—
1330C2×D4C23×D4314yes—
1331C2×D4C23×D4312yes—
1332C2×D4C23×D4312yes—
1333C22×C4—24no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—42no—
1337C22×C4—432no—
1338C22×C4—432no—
1339C22×C4—434no—
1340C22×C4—434no—
1341C22×C4—432no—
1342C22×C4—438no—
1343C22×C4—438no—
1344C22×C4—434no—
1345C22×C4—438no—
1346C22×C4—438no—
1347C22×C4—434no—
1348C22×C4—1724no—
1349C22×C4C23×D4311yescharacteristic
1350C22×C4C23×D4311yescharacteristic
1351C22×C4C23×D4311yescharacteristic
1352C22×C4C23×D4311yescharacteristic
1353C22×C4C23×D4311yescharacteristic
1354C22×C4C23×D4311yescharacteristic
1355C22×C4C23×D4311yescharacteristic
1356C22×C4C23×D4311yescharacteristic
1357C22×C4C23×D4311yescharacteristic
1358C22×C4C23×D4311yescharacteristic
1359C22×C4C23×D4311yescharacteristic
1360C22×C4C23×D4311yescharacteristic
1361C22×C4C23×D4312yes—
1362C22×C4C23×D4314yes—
1363C22×C4C23×D4311yescharacteristic
1364C22×C4C23×D4311yescharacteristic
1365C22×C4C23×D4311yescharacteristic
1366C22×C4C23×D4311yescharacteristic
1367C22×C4C23×D4311yescharacteristic
1368C22×C4C23×D4311yescharacteristic
1369C22×C4C23×D4312yes—
1370C22×C4C23×D4312yes—
1371C22×C4C23×D4314yes—
1372C4⋊C4—434no—
1373C4⋊C4—432no—
1374C4⋊C4—434no—
1375C4⋊C4—434no—
1376C4⋊C4—438no—
1377C4⋊C4—438no—
1378C4⋊C4—438no—
1379C4⋊C4—438no—
1380C4⋊C4—434no—
1381C4⋊C4—432no—
1382C4⋊C4—434no—
1383C4⋊C4—434no—
1384C4⋊C4—434no—
1385C4⋊C4—434no—
1386C4⋊C4—434no—
1387C4⋊C4—434no—
1388C4⋊C4—434no—
1389C4⋊C4—432no—
1390C4⋊C4—434no—
1391C4⋊C4—434no—
1392C4⋊C4—438no—
1393C4⋊C4—438no—
1394C4⋊C4—432no—
1395C4⋊C4—438no—
1396C4⋊C4—438no—
1397C4⋊C4—434no—
1398C4⋊C4—434no—
1399C4⋊C4—434no—
1400C4⋊C4—438no—
1401C4⋊C4—438no—
1402C4⋊C4—438no—
1403C4⋊C4—438no—
1404C4⋊C4—438no—
1405C4⋊C4—438no—
1406C4⋊C4—438no—
1407C4⋊C4—438no—
1408C4⋊C4C23×D4314yes—
1409C4⋊C4C23×D4312yes—
1410C4⋊C4C23×D4314yes—
1411C4⋊C4C23×D4312yes—
1412C4⋊C4C23×D4314yes—
1413C4⋊C4C23×D4314yes—
1414C4⋊C4C23×D4314yes—
1415C4⋊C4C23×D4312yes—
1416C4⋊C4C23×D4314yes—
1417C4⋊C4C23×D4314yes—
1418C4⋊C4C23×D4312yes—
1419C4⋊C4C23×D4314yes—
1420C22⋊C4—434no—
1421C22⋊C4—438no—
1422C22⋊C4—438no—
1423C22⋊C4—434no—
1424C22⋊C4—438no—
1425C22⋊C4—438no—
1426C22⋊C4—438no—
1427C22⋊C4—438no—
1428C22⋊C4—434no—
1429C22⋊C4—434no—
1430C22⋊C4—434no—
1431C22⋊C4—434no—
1432C22⋊C4—434no—
1433C22⋊C4—434no—
1434C22⋊C4—438no—
1435C22⋊C4—438no—
1436C22⋊C4—434no—
1437C22⋊C4—434no—
1438C22⋊C4—438no—
1439C22⋊C4—438no—
1440C22⋊C4C23×D4314yes—
1441C22⋊C4C23×D4314yes—
1442C22⋊C4C23×D4314yes—
1443C22⋊C4C23×D4314yes—
1444C22⋊C4C23×D4314yes—
1445C22⋊C4C23×D4314yes—
1446C22⋊C4C23×D4314yes—
1447C22⋊C4C23×D4314yes—
1448C22⋊C4C23×D4314yes—
1449C22⋊C4C23×D4314yes—
1450C42—434no—
1451C42—438no—
1452C42—438no—
1453C42—434no—
1454C42—438no—
1455C42—438no—
1456C42—438no—
1457C42—438no—
1458C42C23×D4311yescharacteristic
1459C42C23×D4311yescharacteristic
1460C42C23×D4311yescharacteristic
1461C42C23×D4311yescharacteristic
1462C42C23×D4311yescharacteristic
1463C42C23×D4311yescharacteristic
1464C42C23×D4311yescharacteristic
1465C42C23×D4311yescharacteristic
1466C42C23×D4311yescharacteristic
1467C42C23×D4311yescharacteristic
1468C42C23×D4311yescharacteristic
1469C42C23×D4311yescharacteristic
1470C42C23×D4311yescharacteristic
1471C42C23×D4311yescharacteristic
1472C42C23×D4311yescharacteristic
1473C42C23×D4311yescharacteristic
1474C42C23×D4314yes—
1475C42C23×D4314yes—
1476C23—24no—
1477C23—41no—
1478C23—41no—
1479C23—42no—
1480C23—42no—
1481C23—434no—
1482C23—864no—
1483C23—1722no—
1484C23—1722no—
1485C23#1306337214yes—
1486C23C24×D4314yes—
1487C23C24×D4311yescharacteristic
1488C23C24×D4311yescharacteristic
1489C23C24×D4311yescharacteristic
1490Q8—24no—
1491Q8—42no—
1492Q8—864no—
1493Q8—868no—
1494Q8—868no—
1495Q8—1728no—
1496Q8—1722no—
1497Q8—1724no—
1498Q8—1724no—
1499Q8—1728no—
1500D4—28no—
1501D4—28no—
1502D4—24no—
1503D4—42no—
1504D4—868no—
1505D4—868no—
1506D4—864no—
1507D4—1722no—
1508D4—1728no—
1509D4—1728no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—28no—
1524C2×C4—44no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—42no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—42no—
1533C2×C4—434no—
1534C2×C4—434no—
1535C2×C4—438no—
1536C2×C4—438no—
1537C2×C4—434no—
1538C2×C4—864no—
1539C2×C4—868no—
1540C2×C4—1724no—
1541C2×C4—1728no—
1542C2×C4—1728no—
1543C2×C4—1722no—
1544C2×C4—1724no—
1545C2×C4—1724no—
1546C2×C4—1728no—
1547C2×C4—1722no—
1548C2×C4—1728no—
1549C2×C4C24×D4311yescharacteristic
1550C2×C4C24×D4311yescharacteristic
1551C2×C4C24×D4311yescharacteristic
1552C2×C4C24×D4314yes—
1553C2×C4C24×D4314yes—
1554C2×C4C24×D4314yes—
1555C2×C4C24×D4311yescharacteristic
1556C2×C4C24×D4311yescharacteristic
1557C2×C4C24×D4311yescharacteristic
1558C2×C4C24×D4311yescharacteristic
1559C2×C4C24×D4311yescharacteristic
1560C2×C4C24×D4311yescharacteristic
1561C2×C4C24×D4311yescharacteristic
1562C2×C4C24×D4311yescharacteristic
1563C2×C4C24×D4311yescharacteristic
1564C22—21no—
1565C22—21no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—24no—
1571C22—24no—
1572C22—24no—
1573C22—44no—
1574C22—84no—
1575C22—864no—
1576C22—864no—
1577C22—864no—
1578C22—3444no—
1579C22C2×#1306337212yes—
1580C22C2×#1306337212yes—
1581C22C2×#1306337212yes—
1582C22C25×D4311yescharacteristic
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—24no—
1588C4—21no—
1589C4—21no—
1590C4—24no—
1591C4—21no—
1592C4—21no—
1593C4—21no—
1594C4—21no—
1595C4—24no—
1596C4—864no—
1597C4—864no—
1598C4—868no—
1599C4—868no—
1600C4—864no—
1601C4#1458373512yes—
1602C4#1458373512yes—
1603C2—22no—
1604C2—22no—
1605C2—22no—
1606C2—44no—
1607C2—1724no—
1608C2C22×#1306337211yescharacteristic
1609C2C2×#1458373511yescharacteristic
1610C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC2×C43×#529C2
hypercenterC2×#529D43
hypocenterC43#62823
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #19149219C2semidirect
2. #19149213C2semidirect
3. #19149201C2semidirect
4. #19149198C2semidirect
5. #19149167C2semidirect
6. #19149165C2semidirect
7. #19149048C2semidirect
8. #19149040C2semidirect
9. #19149032C2semidirect
10. #19148691C2semidirect
11. #19148689C2semidirect
12. #19148646C2semidirect
13. #19148644C2semidirect
14. #19148584C2semidirect
15. #19148578C2semidirect
16. #19148434C2semidirect
17. #19148429C2semidirect
18. #19148398C2semidirect
19. #19148391C2semidirect
20. #19148347C2semidirect
21. #19148335C2semidirect
22. #19148291C2semidirect
23. C2×#14583456C2semidirect
24. C2×#14583433C2semidirect
25. C2×C43×#529C2semidirect
26. C43⋊#564C22semidirect
27. #14583653C22semidirect
28. #14583651C22semidirect
29. #14583651C22semidirect
30. #14583649C22semidirect
31. #14583643C22semidirect
32. #14583628C22semidirect
33. #14583627C22semidirect
34. #14583627C22semidirect
35. #14583626C22semidirect
36. #14583622C22semidirect
37. #14583622C22semidirect
38. #14583619C22semidirect
39. #14583618C22semidirect
40. #14583617C22semidirect
41. #14583616C22semidirect
42. #14583608C22semidirect
43. #14583608C22semidirect
44. #14583607C22semidirect
45. #14583606C22semidirect
46. #14583606C22semidirect
47. #14583604C22semidirect
48. #14583604C22semidirect
49. #14583603C22semidirect
50. #14583601C22semidirect
51. #14583598C22semidirect
52. #14583595C22semidirect
53. #14583592C22semidirect
54. #14583589C22semidirect
55. #14583589C22semidirect
56. #14583588C22semidirect
57. #14583587C22semidirect
58. #14583586C22semidirect
59. #14583586C22semidirect
60. #14583585C22semidirect
61. #14583584C22semidirect
62. #14583584C22semidirect
63. #14583584C22semidirect
64. #14583582C22semidirect
65. #14583582C22semidirect
66. #14583578C22semidirect
67. #14583575C22semidirect
68. #14583575C22semidirect
69. #14583575C22semidirect
70. #14583572C22semidirect
71. #14583572C22semidirect
72. Q8×D172C22semidirect
73. D4×Dic86C22semidirect
74. D4×Dic86C22semidirect
75. D4×Dic86C22semidirect
76. Q8×C22⋊D43C22semidirect
77. #14583562C22semidirect
78. #14583558C22semidirect
79. #14583558C22semidirect
80. #14583557C22semidirect
81. #14583555C22semidirect
82. #14583554C22semidirect
83. #14583553C22semidirect
84. #14583545C22semidirect
85. #14583543C22semidirect
86. #14583530C22semidirect
87. #14583529C22semidirect
88. #14583528C22semidirect
89. #14583527C22semidirect
91. #14583525C22semidirect
92. #14583524C22semidirect
93. #14583520C22semidirect
94. #14583520C22semidirect
95. #14583518C22semidirect
96. #14583515C22semidirect
97. #14583514C22semidirect
98. #14583513C22semidirect
99. #14583512C22semidirect
100. #14583511C22semidirect
101. #14583511C22semidirect
102. #14583508C22semidirect
103. #14583507C22semidirect
104. #14583507C22semidirect
105. #14583506C22semidirect
106. #14583506C22semidirect
109. #14583493C22semidirect
110. #14583493C22semidirect
111. #14583491C22semidirect
112. #14583490C22semidirect
115. #14583475C22semidirect
116. #14583469C22semidirect
118. #14583456C22semidirect
119. #14583456C22semidirect
120. #14583456C22semidirect
121. #14583456C22semidirect
122. #14583456C22semidirect
123. #14583456C22semidirect
124. #14583456C22semidirect
125. #14583456C22semidirect
126. #14583456C22semidirect
127. #14583451C22semidirect
128. C2×#13063325C22semidirect
129. C2×#13063325C22semidirect
135. #14583433C22semidirect
136. #14583433C22semidirect
137. #14583433C22semidirect
138. #14583433C22semidirect
140. #14583426C22semidirect
141. #14583426C22semidirect
142. C2×#13063319C22semidirect
143. C2×#13063317C22semidirect
144. C2×#13063317C22semidirect
145. C2×#13063313C22semidirect
152. C2×#13063304C22semidirect
153. C22⋊Q8×D43C22semidirect
155. #14583379C22semidirect
156. #14583378C22semidirect
157. #14583376C22semidirect
158. #14583375C22semidirect
161. C2×C4×Dic86C22semidirect
162. C2×C4×Dic86C22semidirect
163. C2×C4×Dic86C22semidirect
164. C2×C4×D172C22semidirect
167. C2×#13063282C22semidirect
172. C43×#529C22semidirect
173. C43×#529C22semidirect
174. C43×#529C22semidirect
175. C43×#529C22semidirect
176. C2×#126×C43C22semidirect
177. C2×#125×C43C22semidirect
178. C2×#124×C43C22semidirect
182. C2×C4×Q8×C43C22semidirect
184. C2×C4×D4×C43C22semidirect
185. C2×#117×C43C22semidirect
822. C2×#529D43semidirect
951. #529C2×D43semidirect
952. #529C2×D43semidirect
953. #529C2×D43semidirect
954. #529C2×D43semidirect
956. C2×#126C2×D43semidirect
959. C2×#125C2×D43semidirect
961. C2×#124C2×D43semidirect
983. C2×C4×Q8C2×D43semidirect
987. C2×C4×D4C2×D43semidirect
990. C2×#117C2×D43semidirect
992. C43#62823semidirect

Maximal subgroups

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

subgroupindex
#191492192
#191492132
#191492012
#191491982
#191491672
#191491652
#191490482
#191490402
#191490322
#191486912
#191486892
#191486462
#191486442
#191485842
#191485782
#191484342
#191484292
#191483982
#191483912
#191483472
#191483352
#191482912
C2×#145834562
C2×#145834332
C2×C43×#5292
#6282343