Finite Group Databasebeta

← #14479558

Subgroups — #14479558

Order 1920.

3760 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92034C211yesmaximal, characteristic, complemented
2C22×C4×D3×D5C211yesmaximal, characteristic, complemented
3D15×C22⋊Q8C211yesmaximal, characteristic, complemented
4C5×#5627C211yesmaximal, characteristic, complemented
5C3×#65961C211yesmaximal, characteristic, complemented
6#11755281C211yesmaximal, characteristic, complemented
7#11755276C211yesmaximal, characteristic, complemented
8#11755270C211yesmaximal, characteristic, complemented
9#11754670C211yesmaximal, characteristic, complemented
10#11754526C211yesmaximal, characteristic, complemented
11#11754341C211yesmaximal, characteristic, complemented
12#11753879C211yesmaximal, characteristic, complemented
13#11753873C211yesmaximal, characteristic, complemented
14#11753862C212yesmaximal, complemented
15#11753852C212yesmaximal, complemented
16#11753850C211yesmaximal, characteristic, complemented
17#11753844C212yesmaximal, complemented
18#11753840C212yesmaximal, complemented
19#11753835C211yesmaximal, characteristic, complemented
20#11753207C212yesmaximal, complemented
21#11753203C212yesmaximal, complemented
22#11752840C212yesmaximal, complemented
23#11752827C212yesmaximal, complemented
24D5×#525—31nomaximal, Hall
25C23×D3×D5C2211yescharacteristic
26C2×Q8×D15C2211yescharacteristic, complemented
27C22×C4×D15C2211yescharacteristic
28C2×C5×#239C2211yescharacteristic, complemented
29C22×C4×C5×D3C2211yescharacteristic, complemented
30C2×C3×#713C2211yescharacteristic, complemented
31C22×C3×C4×D5C2211yescharacteristic, complemented
32C2×#6790C2212yes—
33C22×#1200C2211yescharacteristic
34C22×D3×Dic5C2211yescharacteristic, complemented
35C22×D5×Dic3C2211yescharacteristic, complemented
36#92034—28no—
37C2×#6777C2212yes—
38C2×#6777C2212yes—
39C2×#6777C2211yescharacteristic, complemented
40C2×C4×D3×D5—28no—
41C2×C4×D3×D5C2211yescharacteristic
42C2×C4×D3×D5C2211yescharacteristic
43C2×C4×D3×D5C2211yescharacteristic
44C2×C4×D3×D5C2211yescharacteristic
45C2×C4×D3×D5C2211yescharacteristic, complemented
46C2×C4×D3×D5C2211yescharacteristic, complemented
47C2×C4×D3×D5C2211yescharacteristic, complemented
48C2×C4×D3×D5C2211yescharacteristic, complemented
49C2×C4×D3×D5C2212yescomplemented
50C2×#6772C2212yescomplemented
51C2×#6772C2211yescharacteristic, complemented
52C2×#6765C2212yescomplemented
53C2×#6765C2211yescharacteristic, complemented
54C3×C5×C22⋊Q8C2211yescharacteristic, complemented
55#91835C2211yescharacteristic, complemented
56#91813C2211yescharacteristic, complemented
57#91786C2211yescharacteristic, complemented
58#91785C2212yescomplemented
59C4⋊C4×D15C2211yescharacteristic, complemented
60C4⋊C4×D15C2212yescomplemented
61C22⋊C4×D15C2212yes—
62#91767C2212yescomplemented
63C5×#946C2211yescharacteristic, complemented
64C5×#930C2211yescharacteristic, complemented
65C5×#895C2211yescharacteristic, complemented
66C5×#894C2212yescomplemented
67C5×#893C2212yescomplemented
68C5×#892C2211yescharacteristic, complemented
69C5×#882C2212yescomplemented
70C5×#67⋊C4C2212yescomplemented
71C3×#4092C2211yescharacteristic, complemented
72C3×#4076C2211yescharacteristic, complemented
73C3×#4041C2211yescharacteristic, complemented
74C3×#4040C2212yescomplemented
75C3×#4039C2212yescomplemented
76C3×#4038C2211yescharacteristic, complemented
77C3×#4028C2212yescomplemented
78C3×#4027C2212yescomplemented
79#91571C2212yescomplemented
80#91568C2212yescomplemented
81#91563C2212yescomplemented
82Dic3×C22⋊D5C2212yescomplemented
83Dic5×#67C2212yescomplemented
84#91475C2212yescomplemented
85#91475C2212yescomplemented
86#91474C2212yescomplemented
87#91474C2212yescomplemented
88#91473C2212yes—
89#91473C2212yes—
90#91473C2212yescomplemented
91#91473C2212yescomplemented
92#91466C2211yescharacteristic, complemented
93#91465C2211yescharacteristic, complemented
94#91461C2212yescomplemented
95#91457C2212yescomplemented
96#91456C2211yescharacteristic, complemented
97#91453C2212yescomplemented
98#91452C2212yescomplemented
99#91449C2211yescharacteristic, complemented
100#91447C2212yescomplemented
101#91446C2212yescomplemented
102#91444C2212yescomplemented
103#91441C2212yescomplemented
104#91441C2212yescomplemented
105#91440C2212yescomplemented
106#91440C2212yescomplemented
107#91437C2211yescharacteristic, complemented
108#91432C2212yescomplemented
109#91431C2212yescomplemented
110Dic3×D20C2212yescomplemented
111#91423C2212yescomplemented
112Dic5×D12C2212yescomplemented
113#91414C2212yescomplemented
114#91408C2212yescomplemented
115#91407C2212yescomplemented
116#91405C2212yescomplemented
117#91404C2212yescomplemented
118C4×#1200C2212yescomplemented
119#91398C2212yescomplemented
120#91395C2212yescomplemented
121#91393C2212yescomplemented
122#91365C2211yescharacteristic, complemented
123#91360C2211yescharacteristic, complemented
124#91358C2211yescharacteristic, complemented
125#91338C2211yescharacteristic, complemented
126D3×#525—51nomaximal, Hall
127C2×D5×#41—31no—
128C23×C4×D5—31no—
129C5×#525—31no—
130#66162—31no—
131#66125—31no—
132#65990—32no—
133D5×#123—32no—
134#65961—31no—
135#65961D311yescharacteristic, complemented
136D5×C22⋊Q8—31no—
137D5×C22⋊Q8—31no—
138#65940—31no—
139#65940—31no—
140D5×#121—31no—
141D5×#121—31no—
142D5×#120—32no—
143#65920—32no—
144#65881—32no—
145#65881—32no—
146C4×D4×D5—32no—
147C4×D4×D5—32no—
148#65858—31no—
149D5×#117—31no—
150C23×D15C2311yescharacteristic
151C23×C5×D3C2311yescharacteristic
152C23×C3×D5C2311yescharacteristic
153C22×D3×D5—24no—
154C22×D3×D5—24no—
155C22×D3×D5—24no—
156C22×D3×D5C2312yes—
157C22×D3×D5C2311yescharacteristic
158C22×D3×D5C2311yescharacteristic
159C22×D3×D5C2311yescharacteristic
160C22×D3×D5C2311yescharacteristic
161C2×C3×C5×Q8C2311yescharacteristic, complemented
162C22×C3×C4×C5C2311yescharacteristic
163C22×Dic15C2311yescharacteristic
164Q8×D15—24no—
165C2×C4×D15—24no—
166C2×C4×D15C2312yes—
167C2×C4×D15C2312yes—
168C2×C4×D15C2311yescharacteristic
169C2×C4×D15C2311yescharacteristic
170C2×C4×D15C2311yescharacteristic
171C2×C4×D15C2311yescharacteristic
172C2×Dic30C2312yescomplemented
173C2×Dic30C2311yescharacteristic, complemented
174C2×C5×#67C2312yes—
175C22×C5×Dic3C2311yescharacteristic
176C5×#239—24no—
177C2×C5×D12C2312yes—
178C2×C5×D12C2312yes—
179C2×C5×D12C2311yescharacteristic, complemented
180C2×C4×C5×D3—24no—
181C2×C4×C5×D3C2311yescharacteristic
182C2×C4×C5×D3C2311yescharacteristic
183C2×C4×C5×D3C2311yescharacteristic
184C2×C4×C5×D3C2311yescharacteristic
185C2×C4×C5×D3C2312yescomplemented
186C2×C3×C22⋊D5C2312yes—
187C22×C3×Dic5C2311yescharacteristic
188C3×#713—24no—
189C2×C3×D20C2312yes—
190C2×C3×D20C2312yes—
191C2×C3×D20C2311yescharacteristic, complemented
192C2×C3×C4×D5—24no—
193C2×C3×C4×D5C2311yescharacteristic
194C2×C3×C4×D5C2311yescharacteristic
195C2×C3×C4×D5C2311yescharacteristic
196C2×C3×C4×D5C2311yescharacteristic
197C2×C3×C4×D5C2312yescomplemented
198#6790—28no—
199C2×#1203C2312yes—
200C2×#1202C2312yes—
201C2×#1201C2312yes—
202C2×#1201C2312yes—
203C2×#1201C2312yes—
204C2×#1201C2312yes—
205C2×#1201C2312yescomplemented
206C2×#1200—24no—
207C2×#1200C2311yescharacteristic
208C2×#1200C2312yes—
209C2×#1200C2311yescharacteristic
210C2×#1200C2311yescharacteristic
211C2×#1200C2311yescharacteristic
212C2×D3×Dic5—24no—
213C2×D3×Dic5C2311yescharacteristic
214C2×D3×Dic5C2311yescharacteristic
215C2×D3×Dic5C2311yescharacteristic
216C2×D3×Dic5C2311yescharacteristic
217C2×D3×Dic5C2312yescomplemented
218C2×D5×Dic3—24no—
219C2×D5×Dic3C2311yescharacteristic
220C2×D5×Dic3C2311yescharacteristic
221C2×D5×Dic3C2311yescharacteristic
222C2×D5×Dic3C2311yescharacteristic
223C2×D5×Dic3C2312yescomplemented
224#6777—28no—
225#6777—28no—
226#6777—24no—
227C4×D3×D5—24no—
228C4×D3×D5—24no—
229C4×D3×D5—24no—
230C4×D3×D5—24no—
231C4×D3×D5—24no—
232C4×D3×D5—28no—
233C4×D3×D5—24no—
234C4×D3×D5—24no—
235C4×D3×D5D418yescomplemented
236#6772—24no—
237#6772—28no—
238#6765—24no—
239#6765—28no—
240C3×C5×C4⋊C4C2311yescharacteristic, complemented
241C3×C5×C4⋊C4C2312yescomplemented
242C3×C5×C22⋊C4C2312yes—
243#6719C2312yes—
244#6714C2312yes—
245#6714C2312yes—
246C4⋊Dic15C2312yescomplemented
247C4⋊Dic15C2311yescharacteristic, complemented
248#6712C2312yescomplemented
249#6712C2312yescomplemented
250#6712C2312yescomplemented
251C5×(C2×D3)⋊C4C2312yes—
252C5×(C2×D3)⋊C4C2312yes—
253C5×(C2×D3)⋊C4C2312yescomplemented
254C5×(C2×D3)⋊C4C2312yescomplemented
255C5×C4⋊Dic3C2311yescharacteristic, complemented
256C5×Dic3⋊C4C2312yescomplemented
257C4×C5×Dic3C2312yescomplemented
258C3×#685C2312yes—
259C3×#685C2312yes—
260C3×#685C2312yescomplemented
261C3×#685C2312yescomplemented
262C3×C4⋊Dic5C2311yescharacteristic, complemented
263C3×#683C2312yescomplemented
264C3×C4×Dic5C2312yescomplemented
265Dic3⋊Dic5C2312yescomplemented
266#6669C2312yescomplemented
267#6668C2312yescomplemented
268(C2×D3)⋊Dic5C2312yes—
269(C2×D3)⋊Dic5C2312yes—
270(C2×D3)⋊Dic5C2312yescomplemented
271(C2×D3)⋊Dic5C2312yescomplemented
272#6665C2312yes—
273#6665C2312yes—
274#6665C2312yescomplemented
275#6665C2312yescomplemented
276Dic3×Dic5C2312yescomplemented
277Dic3×Dic5C2312yescomplemented
278C2×D3×#41—51no—
279C23×C4×D3—51no—
280C3×#525—51no—
281#5828—51no—
282#5791—51no—
283#5656—52no—
284D3×#123—52no—
285#5627—51no—
286#5627D511yescharacteristic, complemented
287D3×C22⋊Q8—51no—
288D3×C22⋊Q8—51no—
289#5606—51no—
290#5606—51no—
291D3×#121—51no—
292D3×#121—51no—
293D3×#120—52no—
294#5586—52no—
295#5547—52no—
296#5547—52no—
297C4×D3×D4—52no—
298C4×D3×D4—52no—
299#5524—51no—
300D3×#117—51no—
301C24×D5—31no—
302C2×C5×#41—31no—
303C23×C4×C5—31no—
304C23×Dic5—31no—
305D5×#41—68no—
306C2×#713C2×D311yescharacteristic, complemented
307C2×Q8×D5—31no—
308C2×#711—31no—
309C2×#711—32no—
310C2×D4×D5—32no—
311C2×D4×D5—32no—
312C2×D4×D5—32no—
313C2×D4×D5—31no—
314C2×#709—32no—
315C2×#709—31no—
316C22×C4×D5—31no—
317C22×C4×D5—31no—
318C22×C4×D5—31no—
319C22×C4×D5—31no—
320C22×C4×D5—31no—
321C22×C4×D5—31no—
322C22×C4×D5—31no—
323C22×C4×D5—31no—
324C22×C4×D5—31no—
325C22×C4×D5—31no—
326C22×C4×D5—31no—
327C22×C4×D5—32no—
328C22×C4×D5—68no—
329C22×C4×D5C2×D311yescharacteristic, complemented
330C5×#123—32no—
331C5×C22⋊Q8—31no—
332C5×C22⋊Q8C2×D311yescharacteristic, complemented
333C5×#121—31no—
334C5×#121—31no—
335C5×#120—32no—
336C4×C5×D4—32no—
337C4×C5×D4—32no—
338C5×#117—31no—
339#4099—32no—
340#4092—31no—
341#4092C2×D311yescharacteristic, complemented
342#4085—32no—
343#4085—32no—
344#4084—31no—
345#4084—31no—
346#4083—32no—
347#4083—32no—
348#4083—32no—
349#4081—32no—
350D4×Dic5—32no—
351D4×Dic5—32no—
352#4076—31no—
353#4076C2×D311yescharacteristic, complemented
354#4075—32no—
355C4×C22⋊D5—32no—
356C4×C22⋊D5—32no—
357C4×C22⋊D5—32no—
358C4×C22⋊D5—32no—
359#4072—31no—
360#4070—31no—
361#4070—31no—
362#4043—31no—
363#4043—31no—
364#4042—32no—
365#4042—32no—
366#4041—31no—
367#4041C2×D311yescharacteristic, complemented
368#4040—32no—
369#4040C2×D312yescomplemented
370#4039—32no—
371#4039C2×D312yescomplemented
372#4038—31no—
373#4038C2×D311yescharacteristic, complemented
374D5×C4⋊C4—31no—
375D5×C4⋊C4—32no—
376D5×C4⋊C4—31no—
377D5×C4⋊C4—32no—
378#4032—32no—
379#4030—32no—
380#4030—32no—
381#4029—32no—
382#4029—32no—
383#4028—32no—
384#4028—32no—
385#4028C2×D312yescomplemented
386#4027—32no—
387#4027—32no—
388#4027—32no—
389#4027C2×D312yescomplemented
390D5×C22⋊C4—32no—
391D5×C22⋊C4—32no—
392D5×C22⋊C4—32no—
393D5×C22⋊C4—32no—
394D5×C22⋊C4—32no—
395#4024—32no—
396#4024—32no—
397#4023—32no—
398C4×D20—32no—
399C4×D20—32no—
400#4018—32no—
401C42×D5—32no—
402C2×#525—151noSylow
403C23×C3×C5C2411yescharacteristic
404C22×D15—22no—
405C22×D15—22no—
406C22×D15#4114yescomplemented
407C22×D15C2411yescharacteristic
408C22×D15C2411yescharacteristic
409C22×C5×D3—22no—
410C22×C5×D3—22no—
411C22×C5×D3—22no—
412C22×C5×D3C2412yes—
413C22×C5×D3C2411yescharacteristic
414C22×C5×D3C2411yescharacteristic
415C22×C3×D5—22no—
416C22×C3×D5—22no—
417C22×C3×D5—22no—
418C22×C3×D5C2412yes—
419C22×C3×D5C2411yescharacteristic
420C22×C3×D5C2411yescharacteristic
421C2×D3×D5—232no—
422C2×D3×D5—22no—
423C2×D3×D5—22no—
424C2×D3×D5—22no—
425C2×D3×D5—22no—
426C2×D3×D5—22no—
427C2×D3×D5—22no—
428C2×D3×D5—22no—
429C2×D3×D5—22no—
430C2×D3×D5—22no—
431C2×D3×D5—22no—
432C2×D3×D5—24no—
433C2×D3×D5—24no—
434C2×D3×D5—24no—
435C2×D3×D5C2×D414yes—
436C2×D3×D5#4114yescomplemented
437C3×C5×Q8—22no—
438C2×C3×C4×C5—22no—
439C2×C3×C4×C5C2412yes—
440C2×C3×C4×C5C2412yes—
441C2×C3×C4×C5C2411yescharacteristic
442C2×C3×C4×C5C2411yescharacteristic
443C2×Dic15—22no—
444C2×Dic15C2412yes—
445C2×Dic15C2412yes—
446C2×Dic15C2411yescharacteristic
447C2×Dic15C2411yescharacteristic
448C4×D15—22no—
449C4×D15—24no—
450C4×D15—24no—
451C4×D15—22no—
452C4×D15—22no—
453C4×D15C2×D414yes—
454Dic30—22no—
455Dic30—24no—
456C5×#67—24no—
457C2×C5×Dic3—22no—
458C2×C5×Dic3C2412yes—
459C2×C5×Dic3C2411yescharacteristic
460C2×C5×Dic3C2411yescharacteristic
461C5×D12—24no—
462C5×D12—24no—
463C5×D12—22no—
464C4×C5×D3—22no—
465C4×C5×D3—22no—
466C4×C5×D3—24no—
467C4×C5×D3—22no—
468C4×C5×D3C2×D414yescomplemented
469C3×C22⋊D5—24no—
470C2×C3×Dic5—22no—
471C2×C3×Dic5C2412yes—
472C2×C3×Dic5C2411yescharacteristic
473C2×C3×Dic5C2411yescharacteristic
474C3×D20—24no—
475C3×D20—24no—
476C3×D20—22no—
477C3×C4×D5—22no—
478C3×C4×D5—22no—
479C3×C4×D5—24no—
480C3×C4×D5—22no—
481C3×C4×D5C2×D414yescomplemented
482#1203—24no—
483#1202—24no—
484#1201—24no—
485#1201—24no—
486#1201—24no—
487#1201—24no—
488#1201—24no—
489#1200—22no—
490#1200—24no—
491#1200—22no—
492#1200—22no—
493#1200C2×D414yes—
494D3×Dic5—22no—
495D3×Dic5—22no—
496D3×Dic5—24no—
497D3×Dic5—22no—
498D3×Dic5C2×D414yescomplemented
499D5×Dic3—22no—
500D5×Dic3—22no—
501D5×Dic3—24no—
502D5×Dic3—22no—
503D5×Dic3C2×D414yescomplemented
504C24×D3—51no—
505C2×C3×#41—51no—
506C23×C3×C4—51no—
507C23×Dic3—51no—
508D3×#41—108no—
509C2×#239C2×D511yescharacteristic, complemented
510C2×D3×Q8—51no—
511C2×#237—51no—
512C2×#237—52no—
513C2×D3×D4—52no—
514C2×D3×D4—52no—
515C2×D3×D4—52no—
516C2×D3×D4—51no—
517C2×#235—52no—
518C2×#235—51no—
519C22×C4×D3—51no—
520C22×C4×D3—51no—
521C22×C4×D3—51no—
522C22×C4×D3—51no—
523C22×C4×D3—51no—
524C22×C4×D3—51no—
525C22×C4×D3—51no—
526C22×C4×D3—51no—
527C22×C4×D3—51no—
528C22×C4×D3—51no—
529C22×C4×D3—51no—
530C22×C4×D3—52no—
531C22×C4×D3—108no—
532C22×C4×D3C2×D511yescharacteristic, complemented
533C3×#123—52no—
534C3×C22⋊Q8—51no—
535C3×C22⋊Q8C2×D511yescharacteristic, complemented
536C3×#121—51no—
537C3×#121—51no—
538C3×#120—52no—
539C3×C4×D4—52no—
540C3×C4×D4—52no—
541C3×#117—51no—
542#953—52no—
543#946—51no—
544#946C2×D511yescharacteristic, complemented
545#939—52no—
546#939—52no—
547#938—51no—
548#938—51no—
549#937—52no—
550#937—52no—
551#937—52no—
552#935—52no—
553D4×Dic3—52no—
554D4×Dic3—52no—
555#930—51no—
556#930C2×D511yescharacteristic, complemented
557#929—52no—
558C4×#67—52no—
559C4×#67—52no—
560C4×#67—52no—
561C4×#67—52no—
562#926—51no—
563#924—51no—
564#924—51no—
565#897—51no—
566#897—51no—
567#896—52no—
568#896—52no—
569#895—51no—
570#895C2×D511yescharacteristic, complemented
571#894—52no—
572#894C2×D512yescomplemented
573#893—52no—
574#893C2×D512yescomplemented
575#892—51no—
576#892C2×D511yescharacteristic, complemented
577D3×C4⋊C4—52no—
578D3×C4⋊C4—51no—
579D3×C4⋊C4—51no—
580D3×C4⋊C4—52no—
581#886—52no—
582#884—52no—
583#884—52no—
584#883—52no—
585#883—52no—
586#882—52no—
587#882—52no—
588#882C2×D512yescomplemented
589#67⋊C4—52no—
590#67⋊C4—52no—
591#67⋊C4—52no—
592#67⋊C4C2×D512yescomplemented
593D3×C22⋊C4—52no—
594D3×C22⋊C4—52no—
595D3×C22⋊C4—52no—
596D3×C22⋊C4—52no—
597D3×C22⋊C4—52no—
598#878—52no—
599#878—52no—
600#877—52no—
601C4×D12—52no—
602C4×D12—52no—
603#872—52no—
604C42×D3—52no—
605C24×C5—31no—
606C23×D5—31no—
607C23×D5—31no—
608C23×D5—31no—
609C23×D5—31no—
610C23×D5—31no—
611C23×D5—32no—
612C23×D5—64no—
613C23×D5—64no—
614C23×D5—64no—
615C23×D5C22×D311yescharacteristic
616C5×#41—64no—
617C2×C5×Q8C22×D311yescharacteristic, complemented
618C2×C5×D4—32no—
619C2×C5×D4—32no—
620C2×C5×D4—32no—
621C2×C5×D4—31no—
622C22×C4×C5—31no—
623C22×C4×C5—31no—
624C22×C4×C5—31no—
625C22×C4×C5—32no—
626C22×C4×C5—31no—
627C22×C4×C5—31no—
628C22×C4×C5—64no—
629C22×C4×C5C22×D311yescharacteristic
630C2×C22⋊D5—32no—
631C2×C22⋊D5—32no—
632C2×C22⋊D5—32no—
633C2×C22⋊D5—32no—
634C2×C22⋊D5—32no—
635C2×C22⋊D5—32no—
636C2×C22⋊D5C22×D312yes—
637C22×Dic5—31no—
638C22×Dic5—31no—
639C22×Dic5—31no—
640C22×Dic5—31no—
641C22×Dic5—31no—
642C22×Dic5—32no—
643C22×Dic5—64no—
644C22×Dic5C22×D311yescharacteristic
645#713—24no—
646Q8×D5—64no—
647#711—68no—
648#711—64no—
649D4×D5—64no—
650D4×D5—68no—
651D4×D5—68no—
652D4×D5—68no—
653#709—68no—
654#709—64no—
655C2×D20—32no—
656C2×D20C22×D312yes—
657C2×D20C22×D312yes—
658C2×D20C22×D311yescharacteristic, complemented
659C2×C4×D5—24no—
660C2×C4×D5—31no—
661C2×C4×D5—31no—
662C2×C4×D5—31no—
663C2×C4×D5—38no—
664C2×C4×D5—31no—
665C2×C4×D5—31no—
666C2×C4×D5—31no—
667C2×C4×D5—32no—
668C2×C4×D5—31no—
669C2×C4×D5—31no—
670C2×C4×D5—31no—
671C2×C4×D5—32no—
672C2×C4×D5—32no—
673C2×C4×D5—31no—
674C2×C4×D5—31no—
675C2×C4×D5—31no—
676C2×C4×D5—32no—
677C2×C4×D5—64no—
678C2×C4×D5—64no—
679C2×C4×D5—64no—
680C2×C4×D5—68no—
681C2×C4×D5—64no—
682C2×C4×D5—64no—
683C2×C4×D5—64no—
684C2×C4×D5—64no—
685C2×C4×D5—64no—
686C2×C4×D5—64no—
687C2×C4×D5—64no—
688C2×C4×D5C22×D311yescharacteristic
689C2×C4×D5C22×D311yescharacteristic
690C2×C4×D5C22×D311yescharacteristic
691C2×C4×D5C22×D311yescharacteristic
692C2×C4×D5C22×D312yescomplemented
693C2×Dic10—32no—
694C2×Dic10—31no—
695C5×C4⋊C4—31no—
696C5×C4⋊C4—32no—
697C5×C4⋊C4C22×D311yescharacteristic, complemented
698C5×C4⋊C4C22×D312yescomplemented
699C5×C22⋊C4—32no—
700C5×C22⋊C4—32no—
701C5×C22⋊C4—32no—
702C5×C22⋊C4—32no—
703C5×C22⋊C4C22×D312yes—
704C42×C5—32no—
705C22⋊Dic5—32no—
706C22⋊Dic5—32no—
707C22⋊Dic5—32no—
708C22⋊Dic5—32no—
709C22⋊Dic5—32no—
710#685—32no—
711#685—32no—
712#685—32no—
713#685—32no—
714#685—32no—
715#685—32no—
716#685C22×D312yes—
717#685C22×D312yes—
718#685C22×D312yescomplemented
719#685C22×D312yescomplemented
720C4⋊Dic5—32no—
721C4⋊Dic5—31no—
722C4⋊Dic5—32no—
723C4⋊Dic5C22×D311yescharacteristic, complemented
724#683—32no—
725#683—32no—
726#683—32no—
727#683—32no—
728#683—32no—
729#683C22×D312yescomplemented
730C4×Dic5—32no—
731C4×Dic5—32no—
732C4×Dic5C22×D312yescomplemented
733C22×#41—151no—
734C24×C4—151no—
735#525—31no—
736#525—51no—
737#525—151no—
738#525—151no—
739#525—152no—
740#525—152no—
741#525—152no—
742#525—152no—
743#525—151no—
744#525—151no—
745#525—151no—
746#525—151no—
747C2×#123—152no—
748C2×C22⋊Q8—151no—
749C2×C22⋊Q8—151no—
750C2×#121—151no—
751C2×#121—151no—
752C2×#120—152no—
753C2×C4×D4—152no—
754C2×C4×D4—152no—
755C2×#117—151no—
756C22×C3×C5—21no—
757C22×C3×C5—21no—
758C22×C3×C5C2×#4112yescomplemented
759C22×C3×C5C2511yescharacteristic
760C2×D15—21no—
761C2×D15—21no—
762C2×D15—28no—
763C2×D15C22×D412yes—
764C2×D15C2×#4112yes—
765C2×D15C2×#4112yes—
766C2×D15C2×#4112yescomplemented
767C2×C5×D3—28no—
768C2×C5×D3—21no—
769C2×C5×D3—21no—
770C2×C5×D3—21no—
771C2×C5×D3—21no—
772C2×C5×D3—22no—
773C2×C5×D3—22no—
774C2×C5×D3—22no—
775C2×C5×D3C22×D412yes—
776C2×C5×D3C2×#4112yescomplemented
777C2×C3×D5—28no—
778C2×C3×D5—21no—
779C2×C3×D5—21no—
780C2×C3×D5—21no—
781C2×C3×D5—21no—
782C2×C3×D5—22no—
783C2×C3×D5—22no—
784C2×C3×D5—22no—
785C2×C3×D5C22×D412yes—
786C2×C3×D5C2×#4112yescomplemented
787D3×D5—28no—
788D3×D5—28no—
789D3×D5—28no—
790D3×D5—28no—
791D3×D5—48no—
792C3×C4×C5—21no—
793C3×C4×C5—22no—
794C3×C4×C5—22no—
795C3×C4×C5C22×D412yes—
796Dic15—21no—
797Dic15—22no—
798Dic15—22no—
799Dic15C22×D412yes—
800C3×Dic5—21no—
801C3×Dic5—22no—
802C3×Dic5C22×D412yes—
803C5×Dic3—21no—
804C5×Dic3—22no—
805C5×Dic3C22×D412yes—
806C24×C3—51no—
807C23×D3—51no—
808C23×D3—51no—
809C23×D3—51no—
810C23×D3—52no—
811C23×D3—51no—
812C23×D3—51no—
813C23×D3—104no—
814C23×D3—104no—
815C23×D3—104no—
816C23×D3C22×D511yescharacteristic
817C3×#41—104no—
818C2×C3×Q8C22×D511yescharacteristic, complemented
819C2×C3×D4—52no—
820C2×C3×D4—52no—
821C2×C3×D4—52no—
822C2×C3×D4—51no—
823C22×C3×C4—51no—
824C22×C3×C4—51no—
825C22×C3×C4—51no—
826C22×C3×C4—51no—
827C22×C3×C4—51no—
828C22×C3×C4—52no—
829C22×C3×C4—104no—
830C22×C3×C4C22×D511yescharacteristic
831C2×#67—52no—
832C2×#67—52no—
833C2×#67—52no—
834C2×#67—52no—
835C2×#67—52no—
836C2×#67—52no—
837C2×#67C22×D512yes—
838C22×Dic3—51no—
839C22×Dic3—51no—
840C22×Dic3—51no—
841C22×Dic3—51no—
842C22×Dic3—52no—
843C22×Dic3—51no—
844C22×Dic3—104no—
845C22×Dic3C22×D511yescharacteristic
846#239—24no—
847D3×Q8—104no—
848#237—108no—
849#237—104no—
850D3×D4—104no—
851D3×D4—108no—
852D3×D4—108no—
853D3×D4—108no—
854#235—108no—
855#235—104no—
856C2×D12—52no—
857C2×D12C22×D512yes—
858C2×D12C22×D512yes—
859C2×D12C22×D511yescharacteristic, complemented
860C2×C4×D3—24no—
861C2×C4×D3—51no—
862C2×C4×D3—51no—
863C2×C4×D3—51no—
864C2×C4×D3—58no—
865C2×C4×D3—51no—
866C2×C4×D3—52no—
867C2×C4×D3—51no—
868C2×C4×D3—51no—
869C2×C4×D3—52no—
870C2×C4×D3—51no—
871C2×C4×D3—52no—
872C2×C4×D3—51no—
873C2×C4×D3—51no—
874C2×C4×D3—52no—
875C2×C4×D3—51no—
876C2×C4×D3—51no—
877C2×C4×D3—51no—
878C2×C4×D3—104no—
879C2×C4×D3—104no—
880C2×C4×D3—104no—
881C2×C4×D3—108no—
882C2×C4×D3—104no—
883C2×C4×D3—104no—
884C2×C4×D3—104no—
885C2×C4×D3—104no—
886C2×C4×D3—104no—
887C2×C4×D3—104no—
888C2×C4×D3—104no—
889C2×C4×D3C22×D511yescharacteristic
890C2×C4×D3C22×D511yescharacteristic
891C2×C4×D3C22×D511yescharacteristic
892C2×C4×D3C22×D511yescharacteristic
893C2×C4×D3C22×D512yescomplemented
894C2×Dic6—52no—
895C2×Dic6—51no—
896C3×C4⋊C4—52no—
897C3×C4⋊C4—51no—
898C3×C4⋊C4C22×D511yescharacteristic, complemented
899C3×C4⋊C4C22×D512yescomplemented
900C3×C22⋊C4—52no—
901C3×C22⋊C4—52no—
902C3×C22⋊C4—52no—
903C3×C22⋊C4—52no—
904C3×C22⋊C4C22×D512yes—
905C3×C42—52no—
906#217—52no—
907#217—52no—
908#217—52no—
909#217—52no—
910#217—52no—
911(C2×D3)⋊C4—52no—
912(C2×D3)⋊C4—52no—
913(C2×D3)⋊C4—52no—
914(C2×D3)⋊C4—52no—
915(C2×D3)⋊C4—52no—
916(C2×D3)⋊C4—52no—
917(C2×D3)⋊C4C22×D512yes—
918(C2×D3)⋊C4C22×D512yes—
919(C2×D3)⋊C4C22×D512yescomplemented
920(C2×D3)⋊C4C22×D512yescomplemented
921C4⋊Dic3—52no—
922C4⋊Dic3—51no—
923C4⋊Dic3—52no—
924C4⋊Dic3C22×D511yescharacteristic, complemented
925Dic3⋊C4—52no—
926Dic3⋊C4—52no—
927Dic3⋊C4—52no—
928Dic3⋊C4—52no—
929Dic3⋊C4—52no—
930Dic3⋊C4C22×D512yescomplemented
931C4×Dic3—52no—
932C4×Dic3—52no—
933C4×Dic3C22×D512yescomplemented
934C23×C5—31no—
935C23×C5—31no—
936C23×C5—32no—
937C23×C5—62no—
938C23×C5—62no—
939C23×C5—62no—
940C23×C5C23×D311yescharacteristic
941C22×D5—22no—
942C22×D5—22no—
943C22×D5—22no—
944C22×D5—31no—
945C22×D5—34no—
946C22×D5—31no—
947C22×D5—34no—
948C22×D5—34no—
949C22×D5—62no—
950C22×D5—62no—
951C22×D5—62no—
952C22×D5—62no—
953C22×D5—62no—
954C22×D5—62no—
955C22×D5—64no—
956C22×D5—64no—
957C22×D5—64no—
958C22×D5—62no—
959C22×D5—62no—
960C22×D5—632no—
961C22×D5—62no—
962C22×D5—62no—
963C22×D5—62no—
964C22×D5—62no—
965C22×D5C23×D312yes—
966C22×D5C23×D311yescharacteristic
967C22×D5C23×D311yescharacteristic
968C5×Q8—22no—
969C5×D4—64no—
970C5×D4—64no—
971C5×D4—64no—
972C5×D4—62no—
973C2×C4×C5—22no—
974C2×C4×C5—31no—
975C2×C4×C5—34no—
976C2×C4×C5—32no—
977C2×C4×C5—31no—
978C2×C4×C5—62no—
979C2×C4×C5—64no—
980C2×C4×C5—62no—
981C2×C4×C5—62no—
982C2×C4×C5—62no—
983C2×C4×C5C23×D312yes—
984C2×C4×C5C23×D311yescharacteristic
985C2×C4×C5C23×D312yes—
986C2×C4×C5C23×D311yescharacteristic
987C22⋊D5—24no—
988C22⋊D5—64no—
989C22⋊D5—64no—
990C22⋊D5—64no—
991C22⋊D5—64no—
992C22⋊D5—64no—
993C22⋊D5—64no—
994C2×Dic5—22no—
995C2×Dic5—31no—
996C2×Dic5—34no—
997C2×Dic5—32no—
998C2×Dic5—32no—
999C2×Dic5—31no—
1000C2×Dic5—62no—
1001C2×Dic5—62no—
1002C2×Dic5—62no—
1003C2×Dic5—62no—
1004C2×Dic5—64no—
1005C2×Dic5C23×D312yes—
1006C2×Dic5C23×D311yescharacteristic
1007C2×Dic5C23×D311yescharacteristic
1008D20—24no—
1009D20—24no—
1010D20—22no—
1011D20—64no—
1012C4×D5—22no—
1013C4×D5—22no—
1014C4×D5—22no—
1015C4×D5—24no—
1016C4×D5—34no—
1017C4×D5—34no—
1018C4×D5—34no—
1019C4×D5—62no—
1020C4×D5—62no—
1021C4×D5—64no—
1022C4×D5—62no—
1023C4×D5—62no—
1024C4×D5—62no—
1025C4×D5—64no—
1026C4×D5—64no—
1027C4×D5—62no—
1028C4×D5—64no—
1029C4×D5—62no—
1030C4×D5—62no—
1031C4×D5—62no—
1032C4×D5D3×D414yescomplemented
1033Dic10—64no—
1034Dic10—62no—
1035C25—151no—
1036C2×#41—31no—
1037C2×#41—51no—
1038C2×#41—151no—
1039C2×#41—152no—
1040C2×#41—151no—
1041C2×#41—152no—
1042C2×#41—308no—
1043C22×Q8—151no—
1044C22×D4—152no—
1045C22×D4—152no—
1046C22×D4—152no—
1047C22×D4—151no—
1048C23×C4—31no—
1049C23×C4—51no—
1050C23×C4—151no—
1051C23×C4—151no—
1052C23×C4—151no—
1053C23×C4—152no—
1054C23×C4—151no—
1055C23×C4—151no—
1056C23×C4—151no—
1057C23×C4—151no—
1058C23×C4—151no—
1059C23×C4—151no—
1060C23×C4—151no—
1061C23×C4—151no—
1062C23×C4—151no—
1063C23×C4—308no—
1064#123—32no—
1065#123—52no—
1066#123—152no—
1067#123—152no—
1068#123—152no—
1069#123—152no—
1070#123—152no—
1071#123—152no—
1072C22⋊Q8—31no—
1073C22⋊Q8—51no—
1074C22⋊Q8—152no—
1075C22⋊Q8—152no—
1076C22⋊Q8—151no—
1077C22⋊Q8—151no—
1078C22⋊Q8—151no—
1079C22⋊Q8—151no—
1080C22⋊Q8—152no—
1081C22⋊Q8—151no—
1082C22⋊Q8—152no—
1083C22⋊Q8D3×D511yescharacteristic, complemented
1084#121—31no—
1085#121—31no—
1086#121—51no—
1087#121—51no—
1088#121—152no—
1089#121—152no—
1090#121—152no—
1091#121—151no—
1092#121—151no—
1093#121—151no—
1094#121—151no—
1095#121—152no—
1096#120—32no—
1097#120—52no—
1098#120—152no—
1099#120—152no—
1100#120—152no—
1101#120—152no—
1102#120—152no—
1103#120—152no—
1104C4×D4—32no—
1105C4×D4—32no—
1106C4×D4—52no—
1107C4×D4—52no—
1108C4×D4—152no—
1109C4×D4—152no—
1110C4×D4—152no—
1111C4×D4—152no—
1112C4×D4—152no—
1113C4×D4—152no—
1114C4×D4—152no—
1115C4×D4—152no—
1116C4×D4—152no—
1117C4×D4—152no—
1118C4×D4—152no—
1119C4×D4—152no—
1120#117—31no—
1121#117—51no—
1122#117—152no—
1123#117—152no—
1124#117—151no—
1125#117—151no—
1126C2×C4⋊C4—151no—
1127C2×C4⋊C4—152no—
1128C2×C4⋊C4—151no—
1129C2×C4⋊C4—152no—
1130C2×C22⋊C4—152no—
1131C2×C22⋊C4—152no—
1132C2×C22⋊C4—152no—
1133C2×C22⋊C4—152no—
1134C2×C22⋊C4—152no—
1135C2×C42—152no—
1136C2×C3×C5—22no—
1137C2×C3×C5C23×D411yescharacteristic
1138C2×C3×C5C22×#4111yescharacteristic
1139C2×C3×C5C22×#4111yescharacteristic
1140D15—22no—
1141D15#52514yescomplemented
1142C3×D5—22no—
1143C3×D5—22no—
1144C3×D5—42no—
1145C5×D3—22no—
1146C5×D3—22no—
1147C5×D3—42no—
1148C23×C3—51no—
1149C23×C3—51no—
1150C23×C3—52no—
1151C23×C3—102no—
1152C23×C3—102no—
1153C23×C3—102no—
1154C23×C3C23×D511yescharacteristic
1155C22×D3—22no—
1156C22×D3—22no—
1157C22×D3—22no—
1158C22×D3—51no—
1159C22×D3—54no—
1160C22×D3—51no—
1161C22×D3—54no—
1162C22×D3—54no—
1163C22×D3—102no—
1164C22×D3—102no—
1165C22×D3—102no—
1166C22×D3—102no—
1167C22×D3—102no—
1168C22×D3—102no—
1169C22×D3—104no—
1170C22×D3—104no—
1171C22×D3—104no—
1172C22×D3—102no—
1173C22×D3—102no—
1174C22×D3—1032no—
1175C22×D3—102no—
1176C22×D3—102no—
1177C22×D3—102no—
1178C22×D3—102no—
1179C22×D3C23×D512yes—
1180C22×D3C23×D511yescharacteristic
1181C22×D3C23×D511yescharacteristic
1182C3×Q8—22no—
1183C3×D4—104no—
1184C3×D4—104no—
1185C3×D4—104no—
1186C3×D4—102no—
1187C2×C3×C4—22no—
1188C2×C3×C4—51no—
1189C2×C3×C4—54no—
1190C2×C3×C4—52no—
1191C2×C3×C4—51no—
1192C2×C3×C4—102no—
1193C2×C3×C4—104no—
1194C2×C3×C4—102no—
1195C2×C3×C4—102no—
1196C2×C3×C4—102no—
1197C2×C3×C4C23×D512yes—
1198C2×C3×C4C23×D511yescharacteristic
1199C2×C3×C4C23×D512yes—
1200C2×C3×C4C23×D511yescharacteristic
1201#67—24no—
1202#67—104no—
1203#67—104no—
1204#67—104no—
1205#67—104no—
1206#67—104no—
1207#67—104no—
1208C2×Dic3—22no—
1209C2×Dic3—51no—
1210C2×Dic3—54no—
1211C2×Dic3—52no—
1212C2×Dic3—52no—
1213C2×Dic3—51no—
1214C2×Dic3—102no—
1215C2×Dic3—102no—
1216C2×Dic3—102no—
1217C2×Dic3—102no—
1218C2×Dic3—104no—
1219C2×Dic3C23×D512yes—
1220C2×Dic3C23×D511yescharacteristic
1221C2×Dic3C23×D511yescharacteristic
1222D12—24no—
1223D12—24no—
1224D12—22no—
1225D12—104no—
1226C4×D3—22no—
1227C4×D3—22no—
1228C4×D3—22no—
1229C4×D3—24no—
1230C4×D3—54no—
1231C4×D3—54no—
1232C4×D3—54no—
1233C4×D3—102no—
1234C4×D3—102no—
1235C4×D3—104no—
1236C4×D3—102no—
1237C4×D3—102no—
1238C4×D3—102no—
1239C4×D3—104no—
1240C4×D3—104no—
1241C4×D3—102no—
1242C4×D3—104no—
1243C4×D3—102no—
1244C4×D3—102no—
1245C4×D3—102no—
1246C4×D3D4×D514yescomplemented
1247Dic6—104no—
1248Dic6—102no—
1249C22×C5—21no—
1250C22×C5—21no—
1251C22×C5—32no—
1252C22×C5—32no—
1253C22×C5—68no—
1254C22×C5—61no—
1255C22×C5—61no—
1256C22×C5—61no—
1257C22×C5—61no—
1258C22×C5—62no—
1259C22×C5—62no—
1260C22×C5—62no—
1261C22×C5D3×#4112yescomplemented
1262C22×C5C24×D311yescharacteristic
1263C2×D5—28no—
1264C2×D5—21no—
1265C2×D5—21no—
1266C2×D5—21no—
1267C2×D5—21no—
1268C2×D5—22no—
1269C2×D5—22no—
1270C2×D5—22no—
1271C2×D5—32no—
1272C2×D5—32no—
1273C2×D5—32no—
1274C2×D5—32no—
1275C2×D5—68no—
1276C2×D5—68no—
1277C2×D5—68no—
1278C2×D5—68no—
1279C2×D5—68no—
1280C2×D5—61no—
1281C2×D5—61no—
1282C2×D5—128no—
1283C2×D5C2×D3×D412yes—
1284C2×D5D3×#4112yescomplemented
1285C4×C5—22no—
1286C4×C5—21no—
1287C4×C5—22no—
1288C4×C5—32no—
1289C4×C5—61no—
1290C4×C5—62no—
1291C4×C5C2×D3×D412yes—
1292Dic5—21no—
1293Dic5—22no—
1294Dic5—32no—
1295Dic5—62no—
1296Dic5—61no—
1297Dic5—62no—
1298Dic5C2×D3×D412yes—
1299C24—31no—
1300C24—51no—
1301C24—151no—
1302C24—151no—
1303C24—152no—
1304C24—151no—
1305C24—151no—
1306C24—151no—
1307C24—304no—
1308C24—304no—
1309C24—304no—
1310#41—64no—
1311#41—104no—
1312#41—304no—
1313#41—304no—
1314#41—308no—
1315#41—308no—
1316C2×Q8—152no—
1317C2×Q8—151no—
1318C2×Q8—304no—
1319C2×Q8C2×D3×D511yescharacteristic, complemented
1320C2×D4—32no—
1321C2×D4—32no—
1322C2×D4—32no—
1323C2×D4—31no—
1324C2×D4—52no—
1325C2×D4—52no—
1326C2×D4—52no—
1327C2×D4—51no—
1328C2×D4—152no—
1329C2×D4—152no—
1330C2×D4—152no—
1331C2×D4—152no—
1332C2×D4—152no—
1333C2×D4—152no—
1334C2×D4—152no—
1335C2×D4—304no—
1336C2×D4—308no—
1337C2×D4—308no—
1338C2×D4—308no—
1339C22×C4—31no—
1340C22×C4—31no—
1341C22×C4—31no—
1342C22×C4—32no—
1343C22×C4—31no—
1344C22×C4—31no—
1345C22×C4—51no—
1346C22×C4—51no—
1347C22×C4—51no—
1348C22×C4—52no—
1349C22×C4—51no—
1350C22×C4—51no—
1351C22×C4—64no—
1352C22×C4—104no—
1353C22×C4—151no—
1354C22×C4—158no—
1355C22×C4—152no—
1356C22×C4—151no—
1357C22×C4—151no—
1358C22×C4—151no—
1359C22×C4—151no—
1360C22×C4—151no—
1361C22×C4—152no—
1362C22×C4—151no—
1363C22×C4—151no—
1364C22×C4—151no—
1365C22×C4—151no—
1366C22×C4—152no—
1367C22×C4—151no—
1368C22×C4—151no—
1369C22×C4—151no—
1370C22×C4—151no—
1371C22×C4—152no—
1372C22×C4—151no—
1373C22×C4—152no—
1374C22×C4—151no—
1375C22×C4—151no—
1376C22×C4—304no—
1377C22×C4—304no—
1378C22×C4—304no—
1379C22×C4—304no—
1380C22×C4—304no—
1381C22×C4—304no—
1382C22×C4—304no—
1383C22×C4—304no—
1384C22×C4—308no—
1385C22×C4—304no—
1386C22×C4—304no—
1387C22×C4—304no—
1388C22×C4C2×D3×D511yescharacteristic
1389C4⋊C4—31no—
1390C4⋊C4—32no—
1391C4⋊C4—51no—
1392C4⋊C4—52no—
1393C4⋊C4—152no—
1394C4⋊C4—152no—
1395C4⋊C4—152no—
1396C4⋊C4—152no—
1397C4⋊C4—151no—
1398C4⋊C4—152no—
1399C4⋊C4—152no—
1400C4⋊C4—152no—
1401C4⋊C4C2×D3×D511yescharacteristic, complemented
1402C4⋊C4C2×D3×D512yescomplemented
1403C22⋊C4—32no—
1404C22⋊C4—32no—
1405C22⋊C4—32no—
1406C22⋊C4—32no—
1407C22⋊C4—52no—
1408C22⋊C4—52no—
1409C22⋊C4—52no—
1410C22⋊C4—52no—
1411C22⋊C4—152no—
1412C22⋊C4—152no—
1413C22⋊C4—152no—
1414C22⋊C4—152no—
1415C22⋊C4—152no—
1416C22⋊C4—152no—
1417C22⋊C4—152no—
1418C22⋊C4—152no—
1419C22⋊C4—152no—
1420C22⋊C4—152no—
1421C22⋊C4—152no—
1422C22⋊C4C2×D3×D512yes—
1423C42—32no—
1424C42—52no—
1425C42—152no—
1426C42—152no—
1427C3×C5C2×#52511yescharacteristic, complemented, Hall
1428C22×C3—21no—
1429C22×C3—21no—
1430C22×C3—52no—
1431C22×C3—52no—
1432C22×C3—108no—
1433C22×C3—101no—
1434C22×C3—101no—
1435C22×C3—101no—
1436C22×C3—101no—
1437C22×C3—102no—
1438C22×C3—102no—
1439C22×C3—102no—
1440C22×C3D5×#4112yescomplemented
1441C22×C3C24×D511yescharacteristic
1442C2×D3—28no—
1443C2×D3—21no—
1444C2×D3—21no—
1445C2×D3—21no—
1446C2×D3—21no—
1447C2×D3—22no—
1448C2×D3—22no—
1449C2×D3—22no—
1450C2×D3—52no—
1451C2×D3—52no—
1452C2×D3—52no—
1453C2×D3—52no—
1454C2×D3—108no—
1455C2×D3—108no—
1456C2×D3—108no—
1457C2×D3—108no—
1458C2×D3—108no—
1459C2×D3—101no—
1460C2×D3—101no—
1461C2×D3—208no—
1462C2×D3C2×D4×D512yes—
1463C2×D3D5×#4112yescomplemented
1464C3×C4—22no—
1465C3×C4—21no—
1466C3×C4—22no—
1467C3×C4—52no—
1468C3×C4—101no—
1469C3×C4—102no—
1470C3×C4C2×D4×D512yes—
1471Dic3—21no—
1472Dic3—22no—
1473Dic3—52no—
1474Dic3—102no—
1475Dic3—101no—
1476Dic3—102no—
1477Dic3C2×D4×D512yes—
1478C2×C5—22no—
1479C2×C5—62no—
1480C2×C5—62no—
1481C2×C5—122no—
1482C2×C5C22×D3×D411yescharacteristic
1483C2×C5C2×D3×#4111yescharacteristic
1484C2×C5C2×D3×#4111yescharacteristic
1485D5—22no—
1486D5—22no—
1487D5—34no—
1488D5—42no—
1489D5—62no—
1490C23—31no—
1491C23—31no—
1492C23—32no—
1493C23—51no—
1494C23—51no—
1495C23—52no—
1496C23—62no—
1497C23—62no—
1498C23—62no—
1499C23—102no—
1500C23—102no—
1501C23—102no—
1502C23—154no—
1503C23—154no—
1504C23—151no—
1505C23—154no—
1506C23—151no—
1507C23—302no—
1508C23—302no—
1509C23—302no—
1510C23—302no—
1511C23—302no—
1512C23—302no—
1513C23—302no—
1514C23—302no—
1515C23—302no—
1516C23—302no—
1517C23—302no—
1518C23—302no—
1519C23—304no—
1520C23—304no—
1521C23—304no—
1522C23—3032no—
1523C23C22×D3×D511yescharacteristic
1524Q8—22no—
1525Q8—304no—
1526Q8—302no—
1527D4—64no—
1528D4—64no—
1529D4—64no—
1530D4—62no—
1531D4—104no—
1532D4—104no—
1533D4—104no—
1534D4—102no—
1535D4—304no—
1536D4—304no—
1537D4—304no—
1538D4—304no—
1539D4—304no—
1540D4—304no—
1541D4—304no—
1542C2×C4—22no—
1543C2×C4—31no—
1544C2×C4—34no—
1545C2×C4—32no—
1546C2×C4—31no—
1547C2×C4—51no—
1548C2×C4—54no—
1549C2×C4—52no—
1550C2×C4—51no—
1551C2×C4—62no—
1552C2×C4—64no—
1553C2×C4—62no—
1554C2×C4—62no—
1555C2×C4—62no—
1556C2×C4—102no—
1557C2×C4—104no—
1558C2×C4—102no—
1559C2×C4—102no—
1560C2×C4—102no—
1561C2×C4—154no—
1562C2×C4—154no—
1563C2×C4—154no—
1564C2×C4—151no—
1565C2×C4—154no—
1566C2×C4—152no—
1567C2×C4—151no—
1568C2×C4—152no—
1569C2×C4—302no—
1570C2×C4—302no—
1571C2×C4—304no—
1572C2×C4—304no—
1573C2×C4—302no—
1574C2×C4—302no—
1575C2×C4—304no—
1576C2×C4—302no—
1577C2×C4—302no—
1578C2×C4—304no—
1579C2×C4—302no—
1580C2×C4—304no—
1581C2×C4—302no—
1582C2×C4—302no—
1583C2×C4—302no—
1584C2×C4—302no—
1585C2×C4—302no—
1586C2×C4—302no—
1587C2×C4C22×D3×D512yes—
1588C2×C4C22×D3×D511yescharacteristic
1589C2×C4C22×D3×D512yes—
1590C2×C4C22×D3×D511yescharacteristic
1591C2×C3—22no—
1592C2×C3—102no—
1593C2×C3—102no—
1594C2×C3—202no—
1595C2×C3C22×D4×D511yescharacteristic
1596C2×C3C2×D5×#4111yescharacteristic
1597C2×C3C2×D5×#4111yescharacteristic
1598D3—22no—
1599D3—22no—
1600D3—42no—
1601D3—54no—
1602D3—102no—
1603C5D3×#52511yescharacteristic, complemented, Sylow
1604C22—21no—
1605C22—21no—
1606C22—32no—
1607C22—32no—
1608C22—52no—
1609C22—52no—
1610C22—68no—
1611C22—61no—
1612C22—61no—
1613C22—61no—
1614C22—61no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—108no—
1619C22—101no—
1620C22—101no—
1621C22—101no—
1622C22—101no—
1623C22—102no—
1624C22—102no—
1625C22—102no—
1626C22—152no—
1627C22—152no—
1628C22—152no—
1629C22—152no—
1630C22—308no—
1631C22—308no—
1632C22—308no—
1633C22—308no—
1634C22—308no—
1635C22—301no—
1636C22—301no—
1637C22—608no—
1638C22#9203412yescomplemented
1639C22C23×D3×D511yescharacteristic
1640C4—21no—
1641C4—22no—
1642C4—22no—
1643C4—32no—
1644C4—52no—
1645C4—61no—
1646C4—62no—
1647C4—101no—
1648C4—102no—
1649C4—152no—
1650C4—301no—
1651C4—302no—
1652C4—302no—
1653C4D3×D4×D512yes—
1654C3D5×#52511yescharacteristic, complemented, Sylow
1655C2—22no—
1656C2—62no—
1657C2—62no—
1658C2—102no—
1659C2—102no—
1660C2—122no—
1661C2—154no—
1662C2—202no—
1663C2—302no—
1664C2C2×D3×D4×D511yescharacteristic
1665C2C2×#9203411yescharacteristic
1666C2D3×D5×#4111yescharacteristic
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×C22⋊Q8C22
hypercenterC22⋊Q8D3×D5
hypocenterC3×C5C2×#525
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×#92034C2semidirect
2. C22×C4×D3×D5C2semidirect
3. D15×C22⋊Q8C2semidirect
4. C5×#5627C2semidirect
5. C3×#65961C2semidirect
6. #11755281C2semidirect
7. #11755276C2semidirect
8. #11755270C2semidirect
9. #11754670C2semidirect
10. #11754526C2semidirect
11. #11754341C2semidirect
12. #11753879C2semidirect
13. #11753873C2semidirect
14. #11753862C2semidirect
15. #11753852C2semidirect
16. #11753850C2semidirect
17. #11753844C2semidirect
18. #11753840C2semidirect
19. #11753835C2semidirect
20. #11753207C2semidirect
21. #11753203C2semidirect
22. #11752840C2semidirect
23. #11752827C2semidirect
26. C2×Q8×D15C22semidirect
28. C2×C5×#239C22semidirect
29. C22×C4×C5×D3C22semidirect
30. C2×C3×#713C22semidirect
31. C22×C3×C4×D5C22semidirect
34. C22×D3×Dic5C22semidirect
35. C22×D5×Dic3C22semidirect
39. C2×#6777C22semidirect
45. C2×C4×D3×D5C22semidirect
46. C2×C4×D3×D5C22semidirect
47. C2×C4×D3×D5C22semidirect
48. C2×C4×D3×D5C22semidirect
49. C2×C4×D3×D5C22semidirect
50. C2×#6772C22semidirect
51. C2×#6772C22semidirect
52. C2×#6765C22semidirect
53. C2×#6765C22semidirect
54. C3×C5×C22⋊Q8C22semidirect
55. #91835C22semidirect
56. #91813C22semidirect
57. #91786C22semidirect
58. #91785C22semidirect
59. C4⋊C4×D15C22semidirect
60. C4⋊C4×D15C22semidirect
62. #91767C22semidirect
63. C5×#946C22semidirect
64. C5×#930C22semidirect
65. C5×#895C22semidirect
66. C5×#894C22semidirect
67. C5×#893C22semidirect
68. C5×#892C22semidirect
69. C5×#882C22semidirect
70. C5×#67⋊C4C22semidirect
71. C3×#4092C22semidirect
72. C3×#4076C22semidirect
73. C3×#4041C22semidirect
74. C3×#4040C22semidirect
75. C3×#4039C22semidirect
76. C3×#4038C22semidirect
77. C3×#4028C22semidirect
78. C3×#4027C22semidirect
79. #91571C22semidirect
80. #91568C22semidirect
81. #91563C22semidirect
82. Dic3×C22⋊D5C22semidirect
83. Dic5×#67C22semidirect
84. #91475C22semidirect
85. #91475C22semidirect
86. #91474C22semidirect
87. #91474C22semidirect
90. #91473C22semidirect
91. #91473C22semidirect
92. #91466C22semidirect
93. #91465C22semidirect
94. #91461C22semidirect
95. #91457C22semidirect
96. #91456C22semidirect
97. #91453C22semidirect
98. #91452C22semidirect
99. #91449C22semidirect
100. #91447C22semidirect
101. #91446C22semidirect
102. #91444C22semidirect
103. #91441C22semidirect
104. #91441C22semidirect
105. #91440C22semidirect
106. #91440C22semidirect
107. #91437C22semidirect
108. #91432C22semidirect
109. #91431C22semidirect
110. Dic3×D20C22semidirect
111. #91423C22semidirect
112. Dic5×D12C22semidirect
113. #91414C22semidirect
114. #91408C22semidirect
115. #91407C22semidirect
116. #91405C22semidirect
117. #91404C22semidirect
118. C4×#1200C22semidirect
119. #91398C22semidirect
120. #91395C22semidirect
121. #91393C22semidirect
122. #91365C22semidirect
123. #91360C22semidirect
124. #91358C22semidirect
125. #91338C22semidirect
135. #65961D3semidirect
161. C2×C3×C5×Q8C23semidirect
172. C2×Dic30C23semidirect
173. C2×Dic30C23semidirect
179. C2×C5×D12C23semidirect
185. C2×C4×C5×D3C23semidirect
191. C2×C3×D20C23semidirect
197. C2×C3×C4×D5C23semidirect
205. C2×#1201C23semidirect
217. C2×D3×Dic5C23semidirect
223. C2×D5×Dic3C23semidirect
235. C4×D3×D5D4semidirect
240. C3×C5×C4⋊C4C23semidirect
241. C3×C5×C4⋊C4C23semidirect
246. C4⋊Dic15C23semidirect
247. C4⋊Dic15C23semidirect
248. #6712C23semidirect
249. #6712C23semidirect
250. #6712C23semidirect
253. C5×(C2×D3)⋊C4C23semidirect
254. C5×(C2×D3)⋊C4C23semidirect
255. C5×C4⋊Dic3C23semidirect
256. C5×Dic3⋊C4C23semidirect
257. C4×C5×Dic3C23semidirect
260. C3×#685C23semidirect
261. C3×#685C23semidirect
262. C3×C4⋊Dic5C23semidirect
263. C3×#683C23semidirect
264. C3×C4×Dic5C23semidirect
265. Dic3⋊Dic5C23semidirect
266. #6669C23semidirect
267. #6668C23semidirect
270. (C2×D3)⋊Dic5C23semidirect
271. (C2×D3)⋊Dic5C23semidirect
274. #6665C23semidirect
275. #6665C23semidirect
276. Dic3×Dic5C23semidirect
277. Dic3×Dic5C23semidirect
286. #5627D5semidirect
306. C2×#713C2×D3semidirect
329. C22×C4×D5C2×D3semidirect
332. C5×C22⋊Q8C2×D3semidirect
341. #4092C2×D3semidirect
353. #4076C2×D3semidirect
367. #4041C2×D3semidirect
369. #4040C2×D3semidirect
371. #4039C2×D3semidirect
373. #4038C2×D3semidirect
385. #4028C2×D3semidirect
389. #4027C2×D3semidirect
406. C22×D15#41semidirect
436. C2×D3×D5#41semidirect
468. C4×C5×D3C2×D4semidirect
481. C3×C4×D5C2×D4semidirect
498. D3×Dic5C2×D4semidirect
503. D5×Dic3C2×D4semidirect
509. C2×#239C2×D5semidirect
532. C22×C4×D3C2×D5semidirect
535. C3×C22⋊Q8C2×D5semidirect
544. #946C2×D5semidirect
556. #930C2×D5semidirect
570. #895C2×D5semidirect
572. #894C2×D5semidirect
574. #893C2×D5semidirect
576. #892C2×D5semidirect
588. #882C2×D5semidirect
592. #67⋊C4C2×D5semidirect
617. C2×C5×Q8C22×D3semidirect
658. C2×D20C22×D3semidirect
692. C2×C4×D5C22×D3semidirect
697. C5×C4⋊C4C22×D3semidirect
698. C5×C4⋊C4C22×D3semidirect
718. #685C22×D3semidirect
719. #685C22×D3semidirect
723. C4⋊Dic5C22×D3semidirect
729. #683C22×D3semidirect
732. C4×Dic5C22×D3semidirect
758. C22×C3×C5C2×#41semidirect
766. C2×D15C2×#41semidirect
776. C2×C5×D3C2×#41semidirect
786. C2×C3×D5C2×#41semidirect
818. C2×C3×Q8C22×D5semidirect
859. C2×D12C22×D5semidirect
893. C2×C4×D3C22×D5semidirect
898. C3×C4⋊C4C22×D5semidirect
899. C3×C4⋊C4C22×D5semidirect
919. (C2×D3)⋊C4C22×D5semidirect
920. (C2×D3)⋊C4C22×D5semidirect
924. C4⋊Dic3C22×D5semidirect
930. Dic3⋊C4C22×D5semidirect
933. C4×Dic3C22×D5semidirect
1032. C4×D5D3×D4semidirect
1083. C22⋊Q8D3×D5semidirect
1141. D15#525semidirect
1246. C4×D3D4×D5semidirect
1261. C22×C5D3×#41semidirect
1284. C2×D5D3×#41semidirect
1319. C2×Q8C2×D3×D5semidirect
1401. C4⋊C4C2×D3×D5semidirect
1402. C4⋊C4C2×D3×D5semidirect
1427. C3×C5C2×#525semidirect
1440. C22×C3D5×#41semidirect
1463. C2×D3D5×#41semidirect
1603. C5D3×#525semidirect
1638. C22#92034semidirect
1654. C3D5×#525semidirect

Maximal subgroups

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

subgroupindex
C2×#920342
C22×C4×D3×D52
D15×C22⋊Q82
C5×#56272
C3×#659612
#117552812
#117552762
#117552702
#117546702
#117545262
#117543412
#117538792
#117538732
#117538622
#117538522
#117538502
#117538442
#117538402
#117538352
#117532072
#117532032
#117528402
#117528272
D5×#5253
D3×#5255